Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.5 | ||
Character | \(\chi\) | \(=\) | 192.37 |
Dual form | 192.2.r.a.109.5 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.899186 | − | 1.09154i | −0.635820 | − | 0.771837i | ||||
\(3\) | 0.555570 | − | 0.831470i | 0.320759 | − | 0.480049i | ||||
\(4\) | −0.382930 | + | 1.96300i | −0.191465 | + | 0.981499i | ||||
\(5\) | 0.713613 | − | 3.58757i | 0.319137 | − | 1.60441i | −0.404706 | − | 0.914447i | \(-0.632626\pi\) |
0.723843 | − | 0.689965i | \(-0.242374\pi\) | |||||||
\(6\) | −1.40715 | + | 0.141217i | −0.574465 | + | 0.0576517i | ||||
\(7\) | −0.499893 | + | 1.20685i | −0.188942 | + | 0.456146i | −0.989756 | − | 0.142767i | \(-0.954400\pi\) |
0.800815 | + | 0.598912i | \(0.204400\pi\) | |||||||
\(8\) | 2.48702 | − | 1.34712i | 0.879295 | − | 0.476278i | ||||
\(9\) | −0.382683 | − | 0.923880i | −0.127561 | − | 0.307960i | ||||
\(10\) | −4.55766 | + | 2.44696i | −1.44126 | + | 0.773796i | ||||
\(11\) | 0.165075 | − | 0.110300i | 0.0497720 | − | 0.0332566i | −0.530435 | − | 0.847725i | \(-0.677972\pi\) |
0.580207 | + | 0.814469i | \(0.302972\pi\) | |||||||
\(12\) | 1.41943 | + | 1.40898i | 0.409754 | + | 0.406737i | ||||
\(13\) | −0.763008 | − | 3.83590i | −0.211620 | − | 1.06389i | −0.929810 | − | 0.368040i | \(-0.880029\pi\) |
0.718190 | − | 0.695848i | \(-0.244971\pi\) | |||||||
\(14\) | 1.76682 | − | 0.539527i | 0.472203 | − | 0.144195i | ||||
\(15\) | −2.58650 | − | 2.58650i | −0.667830 | − | 0.667830i | ||||
\(16\) | −3.70673 | − | 1.50338i | −0.926682 | − | 0.375845i | ||||
\(17\) | −3.40067 | + | 3.40067i | −0.824784 | + | 0.824784i | −0.986790 | − | 0.162006i | \(-0.948204\pi\) |
0.162006 | + | 0.986790i | \(0.448204\pi\) | |||||||
\(18\) | −0.664350 | + | 1.24845i | −0.156589 | + | 0.294264i | ||||
\(19\) | 1.60520 | − | 0.319294i | 0.368258 | − | 0.0732512i | −0.00749226 | − | 0.999972i | \(-0.502385\pi\) |
0.375751 | + | 0.926721i | \(0.377385\pi\) | |||||||
\(20\) | 6.76914 | + | 2.77461i | 1.51363 | + | 0.620421i | ||||
\(21\) | 0.725732 | + | 1.08613i | 0.158368 | + | 0.237014i | ||||
\(22\) | −0.268830 | − | 0.0810065i | −0.0573147 | − | 0.0172706i | ||||
\(23\) | 5.45175 | − | 2.25819i | 1.13677 | − | 0.470865i | 0.266691 | − | 0.963782i | \(-0.414070\pi\) |
0.870076 | + | 0.492917i | \(0.164070\pi\) | |||||||
\(24\) | 0.261628 | − | 2.81630i | 0.0534047 | − | 0.574875i | ||||
\(25\) | −7.74204 | − | 3.20686i | −1.54841 | − | 0.641372i | ||||
\(26\) | −3.50096 | + | 4.28204i | −0.686595 | + | 0.839778i | ||||
\(27\) | −0.980785 | − | 0.195090i | −0.188752 | − | 0.0375451i | ||||
\(28\) | −2.17762 | − | 1.44343i | −0.411531 | − | 0.272782i | ||||
\(29\) | −4.85792 | − | 3.24596i | −0.902092 | − | 0.602759i | 0.0156751 | − | 0.999877i | \(-0.495010\pi\) |
−0.917767 | + | 0.397118i | \(0.870010\pi\) | |||||||
\(30\) | −0.497530 | + | 5.14901i | −0.0908360 | + | 0.940077i | ||||
\(31\) | 7.27965i | 1.30746i | 0.756726 | + | 0.653732i | \(0.226798\pi\) | ||||
−0.756726 | + | 0.653732i | \(0.773202\pi\) | |||||||
\(32\) | 1.69203 | + | 5.39787i | 0.299112 | + | 0.954218i | ||||
\(33\) | − | 0.198534i | − | 0.0345603i | ||||||
\(34\) | 6.76981 | + | 0.654141i | 1.16101 | + | 0.112184i | ||||
\(35\) | 3.97293 | + | 2.65462i | 0.671547 | + | 0.448714i | ||||
\(36\) | 1.96012 | − | 0.397426i | 0.326686 | − | 0.0662377i | ||||
\(37\) | 10.9804 | + | 2.18414i | 1.80517 | + | 0.359071i | 0.978922 | − | 0.204233i | \(-0.0654699\pi\) |
0.826250 | + | 0.563304i | \(0.190470\pi\) | |||||||
\(38\) | −1.79190 | − | 1.46504i | −0.290684 | − | 0.237661i | ||||
\(39\) | −3.61334 | − | 1.49669i | −0.578597 | − | 0.239663i | ||||
\(40\) | −3.05811 | − | 9.88369i | −0.483530 | − | 1.56275i | ||||
\(41\) | 4.05331 | − | 1.67894i | 0.633021 | − | 0.262206i | −0.0430149 | − | 0.999074i | \(-0.513696\pi\) |
0.676036 | + | 0.736868i | \(0.263696\pi\) | |||||||
\(42\) | 0.532994 | − | 1.76880i | 0.0822428 | − | 0.272932i | ||||
\(43\) | 4.87955 | + | 7.30276i | 0.744124 | + | 1.11366i | 0.989542 | + | 0.144244i | \(0.0460749\pi\) |
−0.245418 | + | 0.969417i | \(0.578925\pi\) | |||||||
\(44\) | 0.153306 | + | 0.366279i | 0.0231117 | + | 0.0552186i | ||||
\(45\) | −3.58757 | + | 0.713613i | −0.534804 | + | 0.106379i | ||||
\(46\) | −7.36704 | − | 3.92028i | −1.08621 | − | 0.578014i | ||||
\(47\) | 7.45854 | − | 7.45854i | 1.08794 | − | 1.08794i | 0.0921995 | − | 0.995741i | \(-0.470610\pi\) |
0.995741 | − | 0.0921995i | \(-0.0293898\pi\) | |||||||
\(48\) | −3.30936 | + | 2.24680i | −0.477666 | + | 0.324298i | ||||
\(49\) | 3.74316 | + | 3.74316i | 0.534737 | + | 0.534737i | ||||
\(50\) | 3.46111 | + | 11.3343i | 0.489475 | + | 1.60292i | ||||
\(51\) | 0.938243 | + | 4.71687i | 0.131380 | + | 0.660493i | ||||
\(52\) | 7.82205 | − | 0.0289041i | 1.08472 | − | 0.00400827i | ||||
\(53\) | 6.21917 | − | 4.15552i | 0.854269 | − | 0.570804i | −0.0495244 | − | 0.998773i | \(-0.515771\pi\) |
0.903794 | + | 0.427968i | \(0.140771\pi\) | |||||||
\(54\) | 0.668959 | + | 1.24599i | 0.0910338 | + | 0.169558i | ||||
\(55\) | −0.277908 | − | 0.670930i | −0.0374731 | − | 0.0904681i | ||||
\(56\) | 0.382521 | + | 3.67487i | 0.0511166 | + | 0.491075i | ||||
\(57\) | 0.626319 | − | 1.51207i | 0.0829579 | − | 0.200278i | ||||
\(58\) | 0.825071 | + | 8.22134i | 0.108337 | + | 1.07951i | ||||
\(59\) | −1.52940 | + | 7.68882i | −0.199111 | + | 1.00100i | 0.743913 | + | 0.668276i | \(0.232968\pi\) |
−0.943024 | + | 0.332723i | \(0.892032\pi\) | |||||||
\(60\) | 6.06774 | − | 4.08684i | 0.783341 | − | 0.527609i | ||||
\(61\) | −0.775973 | + | 1.16133i | −0.0993531 | + | 0.148692i | −0.877816 | − | 0.478999i | \(-0.841000\pi\) |
0.778463 | + | 0.627691i | \(0.216000\pi\) | |||||||
\(62\) | 7.94605 | − | 6.54576i | 1.00915 | − | 0.831312i | ||||
\(63\) | 1.30628 | 0.164576 | ||||||||
\(64\) | 4.37055 | − | 6.70062i | 0.546319 | − | 0.837577i | ||||
\(65\) | −14.3061 | −1.77445 | ||||||||
\(66\) | −0.216708 | + | 0.178519i | −0.0266749 | + | 0.0219742i | ||||
\(67\) | −2.61387 | + | 3.91193i | −0.319335 | + | 0.477919i | −0.956059 | − | 0.293173i | \(-0.905289\pi\) |
0.636724 | + | 0.771091i | \(0.280289\pi\) | |||||||
\(68\) | −5.37330 | − | 7.97773i | −0.651608 | − | 0.967442i | ||||
\(69\) | 1.15121 | − | 5.78754i | 0.138590 | − | 0.696738i | ||||
\(70\) | −0.674764 | − | 6.72362i | −0.0806497 | − | 0.803626i | ||||
\(71\) | −3.70757 | + | 8.95087i | −0.440008 | + | 1.06227i | 0.535938 | + | 0.844257i | \(0.319958\pi\) |
−0.975945 | + | 0.218015i | \(0.930042\pi\) | |||||||
\(72\) | −2.19632 | − | 1.78219i | −0.258838 | − | 0.210033i | ||||
\(73\) | −0.717326 | − | 1.73178i | −0.0839566 | − | 0.202689i | 0.876326 | − | 0.481719i | \(-0.159987\pi\) |
−0.960283 | + | 0.279029i | \(0.909987\pi\) | |||||||
\(74\) | −7.48937 | − | 13.9496i | −0.870621 | − | 1.62160i | ||||
\(75\) | −6.96765 | + | 4.65564i | −0.804555 | + | 0.537587i | ||||
\(76\) | 0.0120954 | + | 3.27328i | 0.00138744 | + | 0.375471i | ||||
\(77\) | 0.0505950 | + | 0.254358i | 0.00576584 | + | 0.0289868i | ||||
\(78\) | 1.61536 | + | 5.28992i | 0.182903 | + | 0.598966i | ||||
\(79\) | −7.84113 | − | 7.84113i | −0.882196 | − | 0.882196i | 0.111561 | − | 0.993758i | \(-0.464415\pi\) |
−0.993758 | + | 0.111561i | \(0.964415\pi\) | |||||||
\(80\) | −8.03866 | + | 12.2253i | −0.898749 | + | 1.36683i | ||||
\(81\) | −0.707107 | + | 0.707107i | −0.0785674 | + | 0.0785674i | ||||
\(82\) | −5.47731 | − | 2.91469i | −0.604868 | − | 0.321873i | ||||
\(83\) | −8.03366 | + | 1.59800i | −0.881809 | + | 0.175403i | −0.615171 | − | 0.788394i | \(-0.710913\pi\) |
−0.266638 | + | 0.963797i | \(0.585913\pi\) | |||||||
\(84\) | −2.40999 | + | 1.00870i | −0.262951 | + | 0.110058i | ||||
\(85\) | 9.77339 | + | 14.6269i | 1.06007 | + | 1.58651i | ||||
\(86\) | 3.58365 | − | 11.8928i | 0.386435 | − | 1.28243i | ||||
\(87\) | −5.39783 | + | 2.23585i | −0.578708 | + | 0.239709i | ||||
\(88\) | 0.261959 | − | 0.496693i | 0.0279249 | − | 0.0529476i | ||||
\(89\) | −9.80970 | − | 4.06331i | −1.03983 | − | 0.430710i | −0.203576 | − | 0.979059i | \(-0.565257\pi\) |
−0.836250 | + | 0.548349i | \(0.815257\pi\) | |||||||
\(90\) | 4.00483 | + | 3.27432i | 0.422147 | + | 0.345143i | ||||
\(91\) | 5.01077 | + | 0.996705i | 0.525272 | + | 0.104483i | ||||
\(92\) | 2.34518 | + | 11.5665i | 0.244502 | + | 1.20589i | ||||
\(93\) | 6.05281 | + | 4.04436i | 0.627647 | + | 0.419380i | ||||
\(94\) | −14.8479 | − | 1.43470i | −1.53145 | − | 0.147978i | ||||
\(95\) | − | 5.98663i | − | 0.614215i | ||||||
\(96\) | 5.42821 | + | 1.59202i | 0.554014 | + | 0.162485i | ||||
\(97\) | − | 6.53575i | − | 0.663605i | −0.943349 | − | 0.331802i | \(-0.892343\pi\) | ||
0.943349 | − | 0.331802i | \(-0.107657\pi\) | |||||||
\(98\) | 0.720021 | − | 7.45161i | 0.0727331 | − | 0.752726i | ||||
\(99\) | −0.165075 | − | 0.110300i | −0.0165907 | − | 0.0110855i | ||||
\(100\) | 9.25972 | − | 13.9696i | 0.925972 | − | 1.39696i | ||||
\(101\) | −12.0391 | − | 2.39472i | −1.19793 | − | 0.238284i | −0.444483 | − | 0.895787i | \(-0.646613\pi\) |
−0.753452 | + | 0.657503i | \(0.771613\pi\) | |||||||
\(102\) | 4.30500 | − | 5.26547i | 0.426259 | − | 0.521359i | ||||
\(103\) | −3.02423 | − | 1.25268i | −0.297986 | − | 0.123430i | 0.228681 | − | 0.973501i | \(-0.426559\pi\) |
−0.526667 | + | 0.850072i | \(0.676559\pi\) | |||||||
\(104\) | −7.06503 | − | 8.51211i | −0.692783 | − | 0.834681i | ||||
\(105\) | 4.41448 | − | 1.82854i | 0.430809 | − | 0.178447i | ||||
\(106\) | −10.1281 | − | 3.05191i | −0.983730 | − | 0.296428i | ||||
\(107\) | 5.92917 | + | 8.87362i | 0.573194 | + | 0.857846i | 0.998894 | − | 0.0470188i | \(-0.0149721\pi\) |
−0.425700 | + | 0.904864i | \(0.639972\pi\) | |||||||
\(108\) | 0.758534 | − | 1.85057i | 0.0729900 | − | 0.178072i | ||||
\(109\) | 9.42819 | − | 1.87538i | 0.903056 | − | 0.179629i | 0.278342 | − | 0.960482i | \(-0.410215\pi\) |
0.624715 | + | 0.780853i | \(0.285215\pi\) | |||||||
\(110\) | −0.482457 | + | 0.906639i | −0.0460005 | + | 0.0864446i | ||||
\(111\) | 7.91645 | − | 7.91645i | 0.751396 | − | 0.751396i | ||||
\(112\) | 3.66732 | − | 3.72193i | 0.346529 | − | 0.351689i | ||||
\(113\) | 3.00161 | + | 3.00161i | 0.282368 | + | 0.282368i | 0.834053 | − | 0.551685i | \(-0.186015\pi\) |
−0.551685 | + | 0.834053i | \(0.686015\pi\) | |||||||
\(114\) | −2.21366 | + | 0.675976i | −0.207328 | + | 0.0633109i | ||||
\(115\) | −4.21098 | − | 21.1700i | −0.392676 | − | 1.97411i | ||||
\(116\) | 8.23205 | − | 8.29311i | 0.764326 | − | 0.769996i | ||||
\(117\) | −3.25192 | + | 2.17286i | −0.300640 | + | 0.200881i | ||||
\(118\) | 9.76790 | − | 5.24427i | 0.899208 | − | 0.482775i | ||||
\(119\) | −2.40412 | − | 5.80407i | −0.220386 | − | 0.532058i | ||||
\(120\) | −9.91699 | − | 2.94836i | −0.905293 | − | 0.269147i | ||||
\(121\) | −4.19443 | + | 10.1263i | −0.381312 | + | 0.920569i | ||||
\(122\) | 1.96538 | − | 0.197240i | 0.177937 | − | 0.0178573i | ||||
\(123\) | 0.855915 | − | 4.30298i | 0.0771753 | − | 0.387986i | ||||
\(124\) | −14.2899 | − | 2.78759i | −1.28328 | − | 0.250333i | ||||
\(125\) | −6.86868 | + | 10.2797i | −0.614353 | + | 0.919445i | ||||
\(126\) | −1.17459 | − | 1.42586i | −0.104641 | − | 0.127026i | ||||
\(127\) | 8.30918 | 0.737321 | 0.368660 | − | 0.929564i | \(-0.379817\pi\) | ||||
0.368660 | + | 0.929564i | \(0.379817\pi\) | |||||||
\(128\) | −11.2439 | + | 1.25446i | −0.993834 | + | 0.110879i | ||||
\(129\) | 8.78296 | 0.773296 | ||||||||
\(130\) | 12.8638 | + | 15.6157i | 1.12823 | + | 1.36959i | ||||
\(131\) | −0.0841669 | + | 0.125965i | −0.00735370 | + | 0.0110056i | −0.835128 | − | 0.550055i | \(-0.814607\pi\) |
0.827775 | + | 0.561061i | \(0.189607\pi\) | |||||||
\(132\) | 0.389722 | + | 0.0760245i | 0.0339209 | + | 0.00661709i | ||||
\(133\) | −0.417089 | + | 2.09685i | −0.0361662 | + | 0.181820i | ||||
\(134\) | 6.62039 | − | 0.664405i | 0.571915 | − | 0.0573958i | ||||
\(135\) | −1.39980 | + | 3.37942i | −0.120476 | + | 0.290854i | ||||
\(136\) | −3.87644 | + | 13.0386i | −0.332402 | + | 1.11805i | ||||
\(137\) | 7.53903 | + | 18.2008i | 0.644103 | + | 1.55500i | 0.821096 | + | 0.570790i | \(0.193363\pi\) |
−0.176993 | + | 0.984212i | \(0.556637\pi\) | |||||||
\(138\) | −7.35250 | + | 3.94748i | −0.625887 | + | 0.336032i | ||||
\(139\) | 5.12863 | − | 3.42684i | 0.435005 | − | 0.290661i | −0.318723 | − | 0.947848i | \(-0.603254\pi\) |
0.753728 | + | 0.657187i | \(0.228254\pi\) | |||||||
\(140\) | −6.73238 | + | 6.78232i | −0.568990 | + | 0.573210i | ||||
\(141\) | −2.05781 | − | 10.3453i | −0.173299 | − | 0.871231i | ||||
\(142\) | 13.1040 | − | 4.00152i | 1.09967 | − | 0.335800i | ||||
\(143\) | −0.549052 | − | 0.549052i | −0.0459140 | − | 0.0459140i | ||||
\(144\) | 0.0295612 | + | 3.99989i | 0.00246344 | + | 0.333324i | ||||
\(145\) | −15.1118 | + | 15.1118i | −1.25496 | + | 1.25496i | ||||
\(146\) | −1.24530 | + | 2.34018i | −0.103062 | + | 0.193675i | ||||
\(147\) | 5.19191 | − | 1.03273i | 0.428221 | − | 0.0851785i | ||||
\(148\) | −8.49221 | + | 20.7182i | −0.698055 | + | 1.70303i | ||||
\(149\) | −3.31602 | − | 4.96278i | −0.271659 | − | 0.406567i | 0.670407 | − | 0.741993i | \(-0.266119\pi\) |
−0.942066 | + | 0.335427i | \(0.891119\pi\) | |||||||
\(150\) | 11.3470 | + | 3.41921i | 0.926482 | + | 0.279177i | ||||
\(151\) | −15.2579 | + | 6.32003i | −1.24167 | + | 0.514317i | −0.904236 | − | 0.427033i | \(-0.859559\pi\) |
−0.337434 | + | 0.941349i | \(0.609559\pi\) | |||||||
\(152\) | 3.56204 | − | 2.95649i | 0.288920 | − | 0.239803i | ||||
\(153\) | 4.44319 | + | 1.84043i | 0.359211 | + | 0.148790i | ||||
\(154\) | 0.232149 | − | 0.283942i | 0.0187071 | − | 0.0228807i | ||||
\(155\) | 26.1163 | + | 5.19485i | 2.09771 | + | 0.417261i | ||||
\(156\) | 4.32166 | − | 6.51985i | 0.346010 | − | 0.522006i | ||||
\(157\) | 2.68759 | + | 1.79579i | 0.214493 | + | 0.143320i | 0.658176 | − | 0.752864i | \(-0.271328\pi\) |
−0.443683 | + | 0.896184i | \(0.646328\pi\) | |||||||
\(158\) | −1.50829 | + | 15.6096i | −0.119993 | + | 1.24183i | ||||
\(159\) | − | 7.47974i | − | 0.593182i | ||||||
\(160\) | 20.5727 | − | 2.21831i | 1.62642 | − | 0.175373i | ||||
\(161\) | 7.70828i | 0.607498i | ||||||||
\(162\) | 1.40766 | + | 0.136017i | 0.110596 | + | 0.0106865i | ||||
\(163\) | −9.67619 | − | 6.46543i | −0.757898 | − | 0.506411i | 0.115566 | − | 0.993300i | \(-0.463132\pi\) |
−0.873464 | + | 0.486888i | \(0.838132\pi\) | |||||||
\(164\) | 1.74362 | + | 8.59957i | 0.136154 | + | 0.671513i | ||||
\(165\) | −0.712255 | − | 0.141676i | −0.0554490 | − | 0.0110295i | ||||
\(166\) | 8.96804 | + | 7.33219i | 0.696055 | + | 0.569088i | ||||
\(167\) | −18.0933 | − | 7.49447i | −1.40010 | − | 0.579940i | −0.450321 | − | 0.892867i | \(-0.648690\pi\) |
−0.949777 | + | 0.312927i | \(0.898690\pi\) | |||||||
\(168\) | 3.26806 | + | 1.72359i | 0.252136 | + | 0.132978i | ||||
\(169\) | −2.12152 | + | 0.878764i | −0.163194 | + | 0.0675972i | ||||
\(170\) | 7.17780 | − | 23.8204i | 0.550512 | − | 1.82694i | ||||
\(171\) | −0.909274 | − | 1.36082i | −0.0695339 | − | 0.104065i | ||||
\(172\) | −16.2038 | + | 6.78211i | −1.23553 | + | 0.517131i | ||||
\(173\) | −13.6336 | + | 2.71189i | −1.03654 | + | 0.206181i | −0.683900 | − | 0.729576i | \(-0.739718\pi\) |
−0.352645 | + | 0.935757i | \(0.614718\pi\) | |||||||
\(174\) | 7.29418 | + | 3.88151i | 0.552970 | + | 0.294256i | ||||
\(175\) | 7.74038 | − | 7.74038i | 0.585118 | − | 0.585118i | ||||
\(176\) | −0.777710 | + | 0.160680i | −0.0586221 | + | 0.0121117i | ||||
\(177\) | 5.54333 | + | 5.54333i | 0.416662 | + | 0.416662i | ||||
\(178\) | 4.38547 | + | 14.3614i | 0.328705 | + | 1.07643i | ||||
\(179\) | −4.72336 | − | 23.7459i | −0.353040 | − | 1.77485i | −0.594148 | − | 0.804356i | \(-0.702511\pi\) |
0.241107 | − | 0.970498i | \(-0.422489\pi\) | |||||||
\(180\) | −0.0270329 | − | 7.31567i | −0.00201491 | − | 0.545278i | ||||
\(181\) | 17.1020 | − | 11.4272i | 1.27118 | − | 0.849374i | 0.277401 | − | 0.960754i | \(-0.410527\pi\) |
0.993778 | + | 0.111380i | \(0.0355271\pi\) | |||||||
\(182\) | −3.41767 | − | 6.36569i | −0.253335 | − | 0.471857i | ||||
\(183\) | 0.534499 | + | 1.29040i | 0.0395113 | + | 0.0953888i | ||||
\(184\) | 10.5166 | − | 12.9603i | 0.775292 | − | 0.955446i | ||||
\(185\) | 15.6716 | − | 37.8345i | 1.15220 | − | 2.78165i | ||||
\(186\) | −1.02801 | − | 10.2435i | −0.0753775 | − | 0.751092i | ||||
\(187\) | −0.186273 | + | 0.936458i | −0.0136216 | + | 0.0684806i | ||||
\(188\) | 11.7850 | + | 17.4972i | 0.859510 | + | 1.27611i | ||||
\(189\) | 0.725732 | − | 1.08613i | 0.0527892 | − | 0.0790047i | ||||
\(190\) | −6.53466 | + | 5.38309i | −0.474074 | + | 0.390531i | ||||
\(191\) | 2.23266 | 0.161550 | 0.0807749 | − | 0.996732i | \(-0.474261\pi\) | ||||
0.0807749 | + | 0.996732i | \(0.474261\pi\) | |||||||
\(192\) | −3.14321 | − | 7.35664i | −0.226842 | − | 0.530920i | ||||
\(193\) | 19.2570 | 1.38615 | 0.693074 | − | 0.720867i | \(-0.256256\pi\) | ||||
0.693074 | + | 0.720867i | \(0.256256\pi\) | |||||||
\(194\) | −7.13405 | + | 5.87685i | −0.512195 | + | 0.421933i | ||||
\(195\) | −7.94803 | + | 11.8951i | −0.569170 | + | 0.851823i | ||||
\(196\) | −8.78118 | + | 5.91445i | −0.627227 | + | 0.422461i | ||||
\(197\) | −2.96931 | + | 14.9277i | −0.211554 | + | 1.06356i | 0.718329 | + | 0.695703i | \(0.244907\pi\) |
−0.929884 | + | 0.367853i | \(0.880093\pi\) | |||||||
\(198\) | 0.0280364 | + | 0.279366i | 0.00199246 | + | 0.0198537i | ||||
\(199\) | −7.09511 | + | 17.1291i | −0.502959 | + | 1.21425i | 0.444906 | + | 0.895577i | \(0.353237\pi\) |
−0.947865 | + | 0.318673i | \(0.896763\pi\) | |||||||
\(200\) | −23.5746 | + | 2.45391i | −1.66698 | + | 0.173518i | ||||
\(201\) | 1.80046 | + | 4.34671i | 0.126995 | + | 0.306593i | ||||
\(202\) | 8.21144 | + | 15.2945i | 0.577755 | + | 1.07612i | ||||
\(203\) | 6.34581 | − | 4.24014i | 0.445389 | − | 0.297599i | ||||
\(204\) | −9.61848 | + | 0.0355423i | −0.673429 | + | 0.00248846i | ||||
\(205\) | −3.13082 | − | 15.7397i | −0.218666 | − | 1.09931i | ||||
\(206\) | 1.35199 | + | 4.42746i | 0.0941978 | + | 0.308476i | ||||
\(207\) | −4.17259 | − | 4.17259i | −0.290015 | − | 0.290015i | ||||
\(208\) | −2.93856 | + | 15.3657i | −0.203752 | + | 1.06542i | ||||
\(209\) | 0.229761 | − | 0.229761i | 0.0158929 | − | 0.0158929i | ||||
\(210\) | −5.96536 | − | 3.17440i | −0.411649 | − | 0.219054i | ||||
\(211\) | 4.58044 | − | 0.911106i | 0.315330 | − | 0.0627231i | −0.0348879 | − | 0.999391i | \(-0.511107\pi\) |
0.350218 | + | 0.936668i | \(0.386107\pi\) | |||||||
\(212\) | 5.77577 | + | 13.7995i | 0.396682 | + | 0.947754i | ||||
\(213\) | 5.38256 | + | 8.05557i | 0.368807 | + | 0.551958i | ||||
\(214\) | 4.35452 | − | 14.4510i | 0.297669 | − | 0.987848i | ||||
\(215\) | 29.6813 | − | 12.2944i | 2.02425 | − | 0.838471i | ||||
\(216\) | −2.70204 | + | 0.836039i | −0.183851 | + | 0.0568852i | ||||
\(217\) | −8.78544 | − | 3.63905i | −0.596394 | − | 0.247035i | ||||
\(218\) | −10.5248 | − | 8.60495i | −0.712826 | − | 0.582801i | ||||
\(219\) | −1.83844 | − | 0.365689i | −0.124231 | − | 0.0247110i | ||||
\(220\) | 1.42345 | − | 0.288615i | 0.0959692 | − | 0.0194584i | ||||
\(221\) | 15.6394 | + | 10.4499i | 1.05202 | + | 0.702936i | ||||
\(222\) | −15.7595 | − | 1.52278i | −1.05771 | − | 0.102202i | ||||
\(223\) | 10.0197i | 0.670969i | 0.942046 | + | 0.335485i | \(0.108900\pi\) | ||||
−0.942046 | + | 0.335485i | \(0.891100\pi\) | |||||||
\(224\) | −7.36025 | − | 0.656328i | −0.491777 | − | 0.0438528i | ||||
\(225\) | 8.37993i | 0.558662i | ||||||||
\(226\) | 0.577380 | − | 5.97540i | 0.0384067 | − | 0.397477i | ||||
\(227\) | −4.13349 | − | 2.76191i | −0.274349 | − | 0.183314i | 0.410783 | − | 0.911733i | \(-0.365255\pi\) |
−0.685132 | + | 0.728419i | \(0.740255\pi\) | |||||||
\(228\) | 2.72835 | + | 1.80848i | 0.180689 | + | 0.119769i | ||||
\(229\) | −6.49438 | − | 1.29181i | −0.429161 | − | 0.0853654i | −0.0242164 | − | 0.999707i | \(-0.507709\pi\) |
−0.404944 | + | 0.914341i | \(0.632709\pi\) | |||||||
\(230\) | −19.3215 | + | 23.6322i | −1.27402 | + | 1.55826i | ||||
\(231\) | 0.239600 | + | 0.0992457i | 0.0157645 | + | 0.00652989i | ||||
\(232\) | −16.4544 | − | 1.52858i | −1.08029 | − | 0.100356i | ||||
\(233\) | 10.0645 | − | 4.16886i | 0.659349 | − | 0.273111i | −0.0278157 | − | 0.999613i | \(-0.508855\pi\) |
0.687165 | + | 0.726502i | \(0.258855\pi\) | |||||||
\(234\) | 5.29585 | + | 1.59580i | 0.346201 | + | 0.104321i | ||||
\(235\) | −21.4356 | − | 32.0806i | −1.39830 | − | 2.09271i | ||||
\(236\) | −14.5075 | − | 5.94649i | −0.944358 | − | 0.387084i | ||||
\(237\) | −10.8760 | + | 2.16336i | −0.706470 | + | 0.140526i | ||||
\(238\) | −4.17363 | + | 7.84314i | −0.270536 | + | 0.508395i | ||||
\(239\) | −18.9787 | + | 18.9787i | −1.22763 | + | 1.22763i | −0.262772 | + | 0.964858i | \(0.584637\pi\) |
−0.964858 | + | 0.262772i | \(0.915363\pi\) | |||||||
\(240\) | 5.69895 | + | 13.4759i | 0.367866 | + | 0.869868i | ||||
\(241\) | −7.41861 | − | 7.41861i | −0.477875 | − | 0.477875i | 0.426577 | − | 0.904451i | \(-0.359719\pi\) |
−0.904451 | + | 0.426577i | \(0.859719\pi\) | |||||||
\(242\) | 14.8248 | − | 4.52699i | 0.952975 | − | 0.291006i | ||||
\(243\) | 0.195090 | + | 0.980785i | 0.0125150 | + | 0.0629174i | ||||
\(244\) | −1.98254 | − | 1.96794i | −0.126919 | − | 0.125984i | ||||
\(245\) | 16.1000 | − | 10.7577i | 1.02859 | − | 0.687283i | ||||
\(246\) | −5.46651 | + | 2.93491i | −0.348532 | + | 0.187123i | ||||
\(247\) | −2.44956 | − | 5.91377i | −0.155862 | − | 0.376284i | ||||
\(248\) | 9.80654 | + | 18.1047i | 0.622716 | + | 1.14965i | ||||
\(249\) | −3.13458 | + | 7.56755i | −0.198646 | + | 0.479574i | ||||
\(250\) | 17.3969 | − | 1.74591i | 1.10028 | − | 0.110421i | ||||
\(251\) | −3.96207 | + | 19.9187i | −0.250084 | + | 1.25725i | 0.627798 | + | 0.778377i | \(0.283956\pi\) |
−0.877881 | + | 0.478878i | \(0.841044\pi\) | |||||||
\(252\) | −0.500215 | + | 2.56423i | −0.0315106 | + | 0.161531i | ||||
\(253\) | 0.650870 | − | 0.974095i | 0.0409198 | − | 0.0612408i | ||||
\(254\) | −7.47150 | − | 9.06983i | −0.468804 | − | 0.569091i | ||||
\(255\) | 17.5916 | 1.10163 | ||||||||
\(256\) | 11.4797 | + | 11.1453i | 0.717481 | + | 0.696578i | ||||
\(257\) | −1.37931 | −0.0860393 | −0.0430196 | − | 0.999074i | \(-0.513698\pi\) | ||||
−0.0430196 | + | 0.999074i | \(0.513698\pi\) | |||||||
\(258\) | −7.89751 | − | 9.58697i | −0.491678 | − | 0.596859i | ||||
\(259\) | −8.12497 | + | 12.1599i | −0.504861 | + | 0.755578i | ||||
\(260\) | 5.47822 | − | 28.0828i | 0.339745 | − | 1.74162i | ||||
\(261\) | −1.13983 | + | 5.73030i | −0.0705536 | + | 0.354697i | ||||
\(262\) | 0.213178 | − | 0.0213939i | 0.0131702 | − | 0.00132172i | ||||
\(263\) | 1.86485 | − | 4.50216i | 0.114992 | − | 0.277615i | −0.855897 | − | 0.517147i | \(-0.826994\pi\) |
0.970888 | + | 0.239532i | \(0.0769940\pi\) | |||||||
\(264\) | −0.267448 | − | 0.493758i | −0.0164603 | − | 0.0303887i | ||||
\(265\) | −10.4701 | − | 25.2772i | −0.643176 | − | 1.55276i | ||||
\(266\) | 2.66384 | − | 1.43019i | 0.163330 | − | 0.0876903i | ||||
\(267\) | −8.82849 | + | 5.89901i | −0.540295 | + | 0.361014i | ||||
\(268\) | −6.67819 | − | 6.62902i | −0.407935 | − | 0.404932i | ||||
\(269\) | 0.807880 | + | 4.06149i | 0.0492573 | + | 0.247633i | 0.997567 | − | 0.0697128i | \(-0.0222083\pi\) |
−0.948310 | + | 0.317346i | \(0.897208\pi\) | |||||||
\(270\) | 4.94746 | − | 1.51078i | 0.301093 | − | 0.0919434i | ||||
\(271\) | 4.86041 | + | 4.86041i | 0.295249 | + | 0.295249i | 0.839150 | − | 0.543901i | \(-0.183053\pi\) |
−0.543901 | + | 0.839150i | \(0.683053\pi\) | |||||||
\(272\) | 17.7179 | − | 7.49286i | 1.07430 | − | 0.454322i | ||||
\(273\) | 3.61257 | − | 3.61257i | 0.218642 | − | 0.218642i | ||||
\(274\) | 13.0880 | − | 24.5951i | 0.790675 | − | 1.48584i | ||||
\(275\) | −1.63173 | + | 0.324572i | −0.0983972 | + | 0.0195724i | ||||
\(276\) | 10.9201 | + | 4.47605i | 0.657313 | + | 0.269427i | ||||
\(277\) | −9.49029 | − | 14.2032i | −0.570216 | − | 0.853389i | 0.428526 | − | 0.903529i | \(-0.359033\pi\) |
−0.998742 | + | 0.0501407i | \(0.984033\pi\) | |||||||
\(278\) | −8.35214 | − | 2.51675i | −0.500928 | − | 0.150945i | ||||
\(279\) | 6.72552 | − | 2.78580i | 0.402646 | − | 0.166782i | ||||
\(280\) | 13.4568 | + | 1.25011i | 0.804200 | + | 0.0747085i | ||||
\(281\) | 4.37830 | + | 1.81355i | 0.261187 | + | 0.108187i | 0.509435 | − | 0.860509i | \(-0.329855\pi\) |
−0.248247 | + | 0.968697i | \(0.579855\pi\) | |||||||
\(282\) | −9.44198 | + | 11.5485i | −0.562261 | + | 0.687705i | ||||
\(283\) | −4.66157 | − | 0.927244i | −0.277102 | − | 0.0551189i | 0.0545831 | − | 0.998509i | \(-0.482617\pi\) |
−0.331685 | + | 0.943390i | \(0.607617\pi\) | |||||||
\(284\) | −16.1508 | − | 10.7055i | −0.958374 | − | 0.635255i | ||||
\(285\) | −4.97770 | − | 3.32599i | −0.294854 | − | 0.197015i | ||||
\(286\) | −0.105614 | + | 1.09301i | −0.00624507 | + | 0.0646312i | ||||
\(287\) | 5.73102i | 0.338292i | ||||||||
\(288\) | 4.33947 | − | 3.62891i | 0.255706 | − | 0.213836i | ||||
\(289\) | − | 6.12913i | − | 0.360537i | ||||||
\(290\) | 30.0834 | + | 2.90685i | 1.76656 | + | 0.170696i | ||||
\(291\) | −5.43428 | − | 3.63107i | −0.318563 | − | 0.212857i | ||||
\(292\) | 3.67416 | − | 0.744961i | 0.215014 | − | 0.0435955i | ||||
\(293\) | −6.99926 | − | 1.39224i | −0.408901 | − | 0.0813355i | −0.0136460 | − | 0.999907i | \(-0.504344\pi\) |
−0.395255 | + | 0.918571i | \(0.629344\pi\) | |||||||
\(294\) | −5.79576 | − | 4.73857i | −0.338016 | − | 0.276359i | ||||
\(295\) | 26.4928 | + | 10.9737i | 1.54247 | + | 0.638913i | ||||
\(296\) | 30.2509 | − | 9.35992i | 1.75830 | − | 0.544034i | ||||
\(297\) | −0.183421 | + | 0.0759756i | −0.0106432 | + | 0.00440855i | ||||
\(298\) | −2.43536 | + | 8.08204i | −0.141077 | + | 0.468180i | ||||
\(299\) | −12.8219 | − | 19.1893i | −0.741510 | − | 1.10975i | ||||
\(300\) | −6.47089 | − | 15.4603i | −0.373597 | − | 0.892600i | ||||
\(301\) | −11.2526 | + | 2.23828i | −0.648588 | + | 0.129012i | ||||
\(302\) | 20.6183 | + | 10.9718i | 1.18645 | + | 0.631354i | ||||
\(303\) | −8.67970 | + | 8.67970i | −0.498636 | + | 0.498636i | ||||
\(304\) | −6.43007 | − | 1.22969i | −0.368790 | − | 0.0705276i | ||||
\(305\) | 3.61259 | + | 3.61259i | 0.206857 | + | 0.206857i | ||||
\(306\) | −1.98635 | − | 6.50482i | −0.113552 | − | 0.371856i | ||||
\(307\) | −3.43935 | − | 17.2908i | −0.196294 | − | 0.986838i | −0.945778 | − | 0.324815i | \(-0.894698\pi\) |
0.749484 | − | 0.662023i | \(-0.230302\pi\) | |||||||
\(308\) | −0.518680 | + | 0.00191663i | −0.0295545 | + | 0.000109210i | ||||
\(309\) | −2.72173 | + | 1.81860i | −0.154834 | + | 0.103457i | ||||
\(310\) | −17.8130 | − | 33.1782i | −1.01171 | − | 1.88439i | ||||
\(311\) | 0.364148 | + | 0.879131i | 0.0206489 | + | 0.0498509i | 0.933868 | − | 0.357619i | \(-0.116411\pi\) |
−0.913219 | + | 0.407470i | \(0.866411\pi\) | |||||||
\(312\) | −11.0027 | + | 1.14528i | −0.622904 | + | 0.0648387i | ||||
\(313\) | 11.4921 | − | 27.7444i | 0.649571 | − | 1.56820i | −0.163822 | − | 0.986490i | \(-0.552382\pi\) |
0.813394 | − | 0.581714i | \(-0.197618\pi\) | |||||||
\(314\) | −0.456462 | − | 4.54837i | −0.0257597 | − | 0.256680i | ||||
\(315\) | 0.932180 | − | 4.68639i | 0.0525224 | − | 0.264048i | ||||
\(316\) | 18.3947 | − | 12.3895i | 1.03478 | − | 0.696966i | ||||
\(317\) | −12.2103 | + | 18.2741i | −0.685801 | + | 1.02637i | 0.311302 | + | 0.950311i | \(0.399235\pi\) |
−0.997103 | + | 0.0760631i | \(0.975765\pi\) | |||||||
\(318\) | −8.16445 | + | 6.72567i | −0.457840 | + | 0.377157i | ||||
\(319\) | −1.15995 | −0.0649446 | ||||||||
\(320\) | −20.9201 | − | 20.4613i | −1.16947 | − | 1.14382i | ||||
\(321\) | 10.6722 | 0.595665 | ||||||||
\(322\) | 8.41392 | − | 6.93118i | 0.468889 | − | 0.386259i | ||||
\(323\) | −4.37295 | + | 6.54458i | −0.243317 | + | 0.364150i | ||||
\(324\) | −1.11728 | − | 1.65882i | −0.0620710 | − | 0.0921568i | ||||
\(325\) | −6.39395 | + | 32.1446i | −0.354673 | + | 1.78306i | ||||
\(326\) | 1.64341 | + | 16.3756i | 0.0910201 | + | 0.906960i | ||||
\(327\) | 3.67870 | − | 8.88116i | 0.203432 | − | 0.491129i | ||||
\(328\) | 7.81895 | − | 9.63584i | 0.431729 | − | 0.532050i | ||||
\(329\) | 5.27286 | + | 12.7298i | 0.290702 | + | 0.701817i | ||||
\(330\) | 0.485804 | + | 0.904850i | 0.0267426 | + | 0.0498104i | ||||
\(331\) | −9.80351 | + | 6.55049i | −0.538849 | + | 0.360048i | −0.795019 | − | 0.606584i | \(-0.792539\pi\) |
0.256170 | + | 0.966632i | \(0.417539\pi\) | |||||||
\(332\) | −0.0605348 | − | 16.3820i | −0.00332228 | − | 0.899079i | ||||
\(333\) | −2.18414 | − | 10.9804i | −0.119690 | − | 0.601724i | ||||
\(334\) | 8.08867 | + | 26.4885i | 0.442592 | + | 1.44939i | ||||
\(335\) | 12.1691 | + | 12.1691i | 0.664866 | + | 0.664866i | ||||
\(336\) | −1.05722 | − | 5.11706i | −0.0576760 | − | 0.279159i | ||||
\(337\) | −20.0178 | + | 20.0178i | −1.09044 | + | 1.09044i | −0.0949600 | + | 0.995481i | \(0.530272\pi\) |
−0.995481 | + | 0.0949600i | \(0.969728\pi\) | |||||||
\(338\) | 2.86685 | + | 1.52556i | 0.155936 | + | 0.0829795i | ||||
\(339\) | 4.16336 | − | 0.828143i | 0.226123 | − | 0.0449786i | ||||
\(340\) | −32.4551 | + | 13.5841i | −1.76013 | + | 0.736700i | ||||
\(341\) | 0.802942 | + | 1.20169i | 0.0434818 | + | 0.0650751i | ||||
\(342\) | −0.667791 | + | 2.21614i | −0.0361100 | + | 0.119835i | ||||
\(343\) | −14.8365 | + | 6.14550i | −0.801098 | + | 0.331826i | ||||
\(344\) | 21.9732 | + | 11.5888i | 1.18472 | + | 0.624826i | ||||
\(345\) | −19.9417 | − | 8.26013i | −1.07363 | − | 0.444710i | ||||
\(346\) | 15.2193 | + | 12.4432i | 0.818195 | + | 0.668949i | ||||
\(347\) | 20.6727 | + | 4.11207i | 1.10977 | + | 0.220747i | 0.715752 | − | 0.698355i | \(-0.246084\pi\) |
0.394020 | + | 0.919102i | \(0.371084\pi\) | |||||||
\(348\) | −2.32199 | − | 11.4521i | −0.124472 | − | 0.613897i | ||||
\(349\) | 2.15070 | + | 1.43705i | 0.115125 | + | 0.0769238i | 0.611800 | − | 0.791013i | \(-0.290446\pi\) |
−0.496675 | + | 0.867937i | \(0.665446\pi\) | |||||||
\(350\) | −15.4090 | − | 1.48891i | −0.823646 | − | 0.0795858i | ||||
\(351\) | 3.91105i | 0.208756i | ||||||||
\(352\) | 0.874695 | + | 0.704423i | 0.0466214 | + | 0.0375459i | ||||
\(353\) | 2.31496i | 0.123213i | 0.998101 | + | 0.0616065i | \(0.0196224\pi\) | ||||
−0.998101 | + | 0.0616065i | \(0.980378\pi\) | |||||||
\(354\) | 1.06630 | − | 11.0353i | 0.0566730 | − | 0.586518i | ||||
\(355\) | 29.4661 | + | 19.6886i | 1.56390 | + | 1.04496i | ||||
\(356\) | 11.7327 | − | 17.7005i | 0.621832 | − | 0.938123i | ||||
\(357\) | −6.16156 | − | 1.22561i | −0.326104 | − | 0.0648662i | ||||
\(358\) | −21.6725 | + | 26.5078i | −1.14543 | + | 1.40098i | ||||
\(359\) | 7.38180 | + | 3.05764i | 0.389596 | + | 0.161376i | 0.568878 | − | 0.822422i | \(-0.307378\pi\) |
−0.179282 | + | 0.983798i | \(0.557378\pi\) | |||||||
\(360\) | −7.96105 | + | 6.60765i | −0.419584 | + | 0.348254i | ||||
\(361\) | −15.0790 | + | 6.24592i | −0.793631 | + | 0.328733i | ||||
\(362\) | −27.8511 | − | 8.39237i | −1.46382 | − | 0.441093i | ||||
\(363\) | 6.08937 | + | 9.11339i | 0.319609 | + | 0.478329i | ||||
\(364\) | −3.87530 | + | 9.45447i | −0.203121 | + | 0.495549i | ||||
\(365\) | −6.72477 | + | 1.33764i | −0.351991 | + | 0.0700153i | ||||
\(366\) | 0.927907 | − | 1.74373i | 0.0485025 | − | 0.0911464i | ||||
\(367\) | 9.81262 | − | 9.81262i | 0.512214 | − | 0.512214i | −0.402990 | − | 0.915204i | \(-0.632029\pi\) |
0.915204 | + | 0.402990i | \(0.132029\pi\) | |||||||
\(368\) | −23.6031 | + | 0.174439i | −1.23039 | + | 0.00909325i | ||||
\(369\) | −3.10227 | − | 3.10227i | −0.161498 | − | 0.161498i | ||||
\(370\) | −55.3896 | + | 16.9141i | −2.87957 | + | 0.879320i | ||||
\(371\) | 1.90616 | + | 9.58291i | 0.0989629 | + | 0.497520i | ||||
\(372\) | −10.2569 | + | 10.3330i | −0.531794 | + | 0.535739i | ||||
\(373\) | −0.177392 | + | 0.118530i | −0.00918504 | + | 0.00613724i | −0.560154 | − | 0.828388i | \(-0.689258\pi\) |
0.550969 | + | 0.834526i | \(0.314258\pi\) | |||||||
\(374\) | 1.18968 | − | 0.638725i | 0.0615168 | − | 0.0330277i | ||||
\(375\) | 4.73123 | + | 11.4222i | 0.244320 | + | 0.589840i | ||||
\(376\) | 8.50203 | − | 28.5971i | 0.438458 | − | 1.47478i | ||||
\(377\) | −8.74454 | + | 21.1112i | −0.450366 | + | 1.08728i | ||||
\(378\) | −1.83813 | + | 0.184470i | −0.0945432 | + | 0.00948810i | ||||
\(379\) | 5.76906 | − | 29.0030i | 0.296337 | − | 1.48979i | −0.489855 | − | 0.871804i | \(-0.662950\pi\) |
0.786192 | − | 0.617982i | \(-0.212050\pi\) | |||||||
\(380\) | 11.7518 | + | 2.29246i | 0.602852 | + | 0.117601i | ||||
\(381\) | 4.61633 | − | 6.90883i | 0.236502 | − | 0.353950i | ||||
\(382\) | −2.00758 | − | 2.43705i | −0.102717 | − | 0.124690i | ||||
\(383\) | 12.8505 | 0.656630 | 0.328315 | − | 0.944568i | \(-0.393519\pi\) | ||||
0.328315 | + | 0.944568i | \(0.393519\pi\) | |||||||
\(384\) | −5.20376 | + | 10.0459i | −0.265553 | + | 0.512655i | ||||
\(385\) | 0.948635 | 0.0483469 | ||||||||
\(386\) | −17.3156 | − | 21.0198i | −0.881341 | − | 1.06988i | ||||
\(387\) | 4.87955 | − | 7.30276i | 0.248041 | − | 0.371220i | ||||
\(388\) | 12.8297 | + | 2.50273i | 0.651328 | + | 0.127057i | ||||
\(389\) | 5.91554 | − | 29.7394i | 0.299930 | − | 1.50785i | −0.477362 | − | 0.878707i | \(-0.658407\pi\) |
0.777291 | − | 0.629141i | \(-0.216593\pi\) | |||||||
\(390\) | 20.1307 | − | 2.02026i | 1.01936 | − | 0.102300i | ||||
\(391\) | −10.8602 | + | 26.2189i | −0.549226 | + | 1.32595i | ||||
\(392\) | 14.3518 | + | 4.26684i | 0.724875 | + | 0.215508i | ||||
\(393\) | 0.0579752 | + | 0.139964i | 0.00292446 | + | 0.00706027i | ||||
\(394\) | 18.9642 | − | 10.1817i | 0.955403 | − | 0.512945i | ||||
\(395\) | −33.7262 | + | 22.5351i | −1.69695 | + | 1.13386i | ||||
\(396\) | 0.279730 | − | 0.281805i | 0.0140570 | − | 0.0141612i | ||||
\(397\) | 0.547363 | + | 2.75178i | 0.0274713 | + | 0.138108i | 0.992087 | − | 0.125552i | \(-0.0400703\pi\) |
−0.964616 | + | 0.263660i | \(0.915070\pi\) | |||||||
\(398\) | 25.0770 | − | 7.65764i | 1.25700 | − | 0.383843i | ||||
\(399\) | 1.51174 | + | 1.51174i | 0.0756818 | + | 0.0756818i | ||||
\(400\) | 23.8765 | + | 23.5262i | 1.19383 | + | 1.17631i | ||||
\(401\) | 5.30890 | − | 5.30890i | 0.265114 | − | 0.265114i | −0.562014 | − | 0.827128i | \(-0.689973\pi\) |
0.827128 | + | 0.562014i | \(0.189973\pi\) | |||||||
\(402\) | 3.12566 | − | 5.87378i | 0.155894 | − | 0.292958i | ||||
\(403\) | 27.9240 | − | 5.55443i | 1.39099 | − | 0.276686i | ||||
\(404\) | 9.31097 | − | 22.7157i | 0.463238 | − | 1.13015i | ||||
\(405\) | 2.03220 | + | 3.04140i | 0.100981 | + | 0.151128i | ||||
\(406\) | −10.3344 | − | 3.11405i | −0.512885 | − | 0.154548i | ||||
\(407\) | 2.05350 | − | 0.850589i | 0.101788 | − | 0.0421622i | ||||
\(408\) | 8.68760 | + | 10.4670i | 0.430100 | + | 0.518195i | ||||
\(409\) | 31.4593 | + | 13.0309i | 1.55556 | + | 0.644336i | 0.984312 | − | 0.176438i | \(-0.0564576\pi\) |
0.571253 | + | 0.820774i | \(0.306458\pi\) | |||||||
\(410\) | −14.3653 | + | 17.5703i | −0.709453 | + | 0.867736i | ||||
\(411\) | 19.3219 | + | 3.84337i | 0.953079 | + | 0.189579i | ||||
\(412\) | 3.61707 | − | 5.45687i | 0.178200 | − | 0.268840i | ||||
\(413\) | −8.51471 | − | 5.68935i | −0.418981 | − | 0.279954i | ||||
\(414\) | −0.802624 | + | 8.30648i | −0.0394468 | + | 0.408241i | ||||
\(415\) | 29.9617i | 1.47076i | ||||||||
\(416\) | 19.4147 | − | 10.6091i | 0.951882 | − | 0.520154i | ||||
\(417\) | − | 6.16816i | − | 0.302056i | ||||||
\(418\) | −0.457391 | − | 0.0441959i | −0.0223717 | − | 0.00216169i | ||||
\(419\) | −20.2970 | − | 13.5620i | −0.991575 | − | 0.662549i | −0.0497881 | − | 0.998760i | \(-0.515855\pi\) |
−0.941787 | + | 0.336211i | \(0.890855\pi\) | |||||||
\(420\) | 1.89898 | + | 9.36582i | 0.0926608 | + | 0.457005i | ||||
\(421\) | −13.5127 | − | 2.68784i | −0.658567 | − | 0.130997i | −0.145517 | − | 0.989356i | \(-0.546484\pi\) |
−0.513050 | + | 0.858359i | \(0.671484\pi\) | |||||||
\(422\) | −5.11318 | − | 4.18049i | −0.248906 | − | 0.203503i | ||||
\(423\) | −9.74505 | − | 4.03653i | −0.473821 | − | 0.196263i | ||||
\(424\) | 9.86925 | − | 18.7128i | 0.479293 | − | 0.908775i | ||||
\(425\) | 37.2336 | − | 15.4227i | 1.80610 | − | 0.748109i | ||||
\(426\) | 3.95307 | − | 13.1187i | 0.191527 | − | 0.635605i | ||||
\(427\) | −1.01364 | − | 1.51702i | −0.0490535 | − | 0.0734137i | ||||
\(428\) | −19.6894 | + | 8.24097i | −0.951722 | + | 0.398343i | ||||
\(429\) | −0.761557 | + | 0.151483i | −0.0367683 | + | 0.00731367i | ||||
\(430\) | −40.1089 | − | 21.3435i | −1.93422 | − | 1.02927i | ||||
\(431\) | −20.9078 | + | 20.9078i | −1.00709 | + | 1.00709i | −0.00711650 | + | 0.999975i | \(0.502265\pi\) |
−0.999975 | + | 0.00711650i | \(0.997735\pi\) | |||||||
\(432\) | 3.34221 | + | 2.19764i | 0.160802 | + | 0.105734i | ||||
\(433\) | −0.457834 | − | 0.457834i | −0.0220021 | − | 0.0220021i | 0.696020 | − | 0.718022i | \(-0.254952\pi\) |
−0.718022 | + | 0.696020i | \(0.754952\pi\) | |||||||
\(434\) | 3.92757 | + | 12.8619i | 0.188529 | + | 0.617389i | ||||
\(435\) | 4.16933 | + | 20.9606i | 0.199904 | + | 1.00499i | ||||
\(436\) | 0.0710428 | + | 19.2257i | 0.00340233 | + | 0.920742i | ||||
\(437\) | 8.03012 | − | 5.36556i | 0.384133 | − | 0.256669i | ||||
\(438\) | 1.25394 | + | 2.33556i | 0.0599155 | + | 0.111598i | ||||
\(439\) | 6.59677 | + | 15.9260i | 0.314847 | + | 0.760107i | 0.999512 | + | 0.0312490i | \(0.00994849\pi\) |
−0.684665 | + | 0.728858i | \(0.740052\pi\) | |||||||
\(440\) | −1.59498 | − | 1.29424i | −0.0760379 | − | 0.0617005i | ||||
\(441\) | 2.02578 | − | 4.89067i | 0.0964658 | − | 0.232889i | ||||
\(442\) | −2.65620 | − | 26.4674i | −0.126343 | − | 1.25893i | ||||
\(443\) | 2.90152 | − | 14.5869i | 0.137856 | − | 0.693047i | −0.848602 | − | 0.529031i | \(-0.822555\pi\) |
0.986458 | − | 0.164015i | \(-0.0524446\pi\) | |||||||
\(444\) | 12.5085 | + | 18.5714i | 0.593629 | + | 0.881361i | ||||
\(445\) | −21.5777 | + | 32.2934i | −1.02288 | + | 1.53085i | ||||
\(446\) | 10.9369 | − | 9.00958i | 0.517879 | − | 0.426616i | ||||
\(447\) | −5.96868 | −0.282309 | ||||||||
\(448\) | 5.90182 | + | 8.62418i | 0.278835 | + | 0.407454i | ||||
\(449\) | 15.4273 | 0.728058 | 0.364029 | − | 0.931388i | \(-0.381401\pi\) | ||||
0.364029 | + | 0.931388i | \(0.381401\pi\) | |||||||
\(450\) | 9.14705 | − | 7.53511i | 0.431196 | − | 0.355209i | ||||
\(451\) | 0.483915 | − | 0.724229i | 0.0227866 | − | 0.0341026i | ||||
\(452\) | −7.04157 | + | 4.74276i | −0.331208 | + | 0.223081i | ||||
\(453\) | −3.22192 | + | 16.1977i | −0.151379 | + | 0.761034i | ||||
\(454\) | 0.702034 | + | 6.99535i | 0.0329481 | + | 0.328308i | ||||
\(455\) | 7.15150 | − | 17.2653i | 0.335268 | − | 0.809408i | ||||
\(456\) | −0.479263 | − | 4.60427i | −0.0224435 | − | 0.215615i | ||||
\(457\) | 4.44301 | + | 10.7264i | 0.207835 | + | 0.501758i | 0.993082 | − | 0.117425i | \(-0.0374639\pi\) |
−0.785247 | + | 0.619183i | \(0.787464\pi\) | |||||||
\(458\) | 4.42959 | + | 8.25047i | 0.206981 | + | 0.385519i | ||||
\(459\) | 3.99877 | − | 2.67189i | 0.186646 | − | 0.124713i | ||||
\(460\) | 43.1692 | − | 0.159519i | 2.01277 | − | 0.00743762i | ||||
\(461\) | −1.96662 | − | 9.88687i | −0.0915946 | − | 0.460477i | −0.999175 | − | 0.0405999i | \(-0.987073\pi\) |
0.907581 | − | 0.419877i | \(-0.137927\pi\) | |||||||
\(462\) | −0.107114 | − | 0.350774i | −0.00498341 | − | 0.0163195i | ||||
\(463\) | −20.2792 | − | 20.2792i | −0.942453 | − | 0.942453i | 0.0559787 | − | 0.998432i | \(-0.482172\pi\) |
−0.998432 | + | 0.0559787i | \(0.982172\pi\) | |||||||
\(464\) | 13.1271 | + | 19.3352i | 0.609409 | + | 0.897613i | ||||
\(465\) | 18.8288 | − | 18.8288i | 0.873164 | − | 0.873164i | ||||
\(466\) | −13.6004 | − | 7.23727i | −0.630025 | − | 0.335260i | ||||
\(467\) | −6.72549 | + | 1.33778i | −0.311219 | + | 0.0619053i | −0.348229 | − | 0.937410i | \(-0.613217\pi\) |
0.0370098 | + | 0.999315i | \(0.488217\pi\) | |||||||
\(468\) | −3.02007 | − | 7.21557i | −0.139603 | − | 0.333540i | ||||
\(469\) | −3.41445 | − | 5.11009i | −0.157665 | − | 0.235962i | ||||
\(470\) | −15.7428 | + | 52.2442i | −0.726159 | + | 2.40985i | ||||
\(471\) | 2.98629 | − | 1.23696i | 0.137601 | − | 0.0569963i | ||||
\(472\) | 6.55409 | + | 21.1826i | 0.301676 | + | 0.975006i | ||||
\(473\) | 1.61098 | + | 0.667291i | 0.0740731 | + | 0.0306821i | ||||
\(474\) | 12.1409 | + | 9.92631i | 0.557651 | + | 0.455931i | ||||
\(475\) | −13.4515 | − | 2.67566i | −0.617196 | − | 0.122768i | ||||
\(476\) | 12.3140 | − | 2.49674i | 0.564411 | − | 0.114438i | ||||
\(477\) | −6.21917 | − | 4.15552i | −0.284756 | − | 0.190268i | ||||
\(478\) | 37.7814 | + | 3.65068i | 1.72808 | + | 0.166978i | ||||
\(479\) | 23.5713i | 1.07700i | 0.842626 | + | 0.538500i | \(0.181009\pi\) | ||||
−0.842626 | + | 0.538500i | \(0.818991\pi\) | |||||||
\(480\) | 9.58513 | − | 18.3380i | 0.437499 | − | 0.837012i | ||||
\(481\) | − | 43.7864i | − | 1.99649i | ||||||
\(482\) | −1.42702 | + | 14.7684i | −0.0649989 | + | 0.672684i | ||||
\(483\) | 6.40920 | + | 4.28249i | 0.291629 | + | 0.194860i | ||||
\(484\) | −18.2717 | − | 12.1113i | −0.830530 | − | 0.550514i | ||||
\(485\) | −23.4475 | − | 4.66399i | −1.06470 | − | 0.211781i | ||||
\(486\) | 0.895146 | − | 1.09486i | 0.0406047 | − | 0.0496637i | ||||
\(487\) | −16.3288 | − | 6.76359i | −0.739927 | − | 0.306488i | −0.0193027 | − | 0.999814i | \(-0.506145\pi\) |
−0.720624 | + | 0.693326i | \(0.756145\pi\) | |||||||
\(488\) | −0.365420 | + | 3.93357i | −0.0165418 | + | 0.178064i | ||||
\(489\) | −10.7516 | + | 4.45346i | −0.486205 | + | 0.201393i | ||||
\(490\) | −26.2194 | − | 7.90069i | −1.18447 | − | 0.356917i | ||||
\(491\) | 4.13695 | + | 6.19138i | 0.186698 | + | 0.279413i | 0.912997 | − | 0.407965i | \(-0.133762\pi\) |
−0.726300 | + | 0.687378i | \(0.758762\pi\) | |||||||
\(492\) | 8.11898 | + | 3.32790i | 0.366032 | + | 0.150033i | ||||
\(493\) | 27.5586 | − | 5.48175i | 1.24118 | − | 0.246885i | ||||
\(494\) | −4.25252 | + | 7.99138i | −0.191330 | + | 0.359549i | ||||
\(495\) | −0.513507 | + | 0.513507i | −0.0230804 | + | 0.0230804i | ||||
\(496\) | 10.9441 | − | 26.9837i | 0.491404 | − | 1.21160i | ||||
\(497\) | −8.94895 | − | 8.94895i | −0.401415 | − | 0.401415i | ||||
\(498\) | 11.0789 | − | 3.38310i | 0.496456 | − | 0.151600i | ||||
\(499\) | 2.64752 | + | 13.3100i | 0.118519 | + | 0.595836i | 0.993703 | + | 0.112045i | \(0.0357402\pi\) |
−0.875184 | + | 0.483790i | \(0.839260\pi\) | |||||||
\(500\) | −17.5488 | − | 17.4196i | −0.784807 | − | 0.779029i | ||||
\(501\) | −16.2835 | + | 10.8803i | −0.727493 | + | 0.486095i | ||||
\(502\) | 25.3047 | − | 13.5858i | 1.12940 | − | 0.606365i | ||||
\(503\) | 2.32837 | + | 5.62119i | 0.103817 | + | 0.250636i | 0.967249 | − | 0.253828i | \(-0.0816898\pi\) |
−0.863432 | + | 0.504465i | \(0.831690\pi\) | |||||||
\(504\) | 3.24875 | − | 1.75972i | 0.144711 | − | 0.0783840i | ||||
\(505\) | −17.1825 | + | 41.4822i | −0.764611 | + | 1.84593i | ||||
\(506\) | −1.64852 | + | 0.165441i | −0.0732856 | + | 0.00735474i | ||||
\(507\) | −0.447990 | + | 2.25220i | −0.0198959 | + | 0.100024i | ||||
\(508\) | −3.18183 | + | 16.3109i | −0.141171 | + | 0.723680i | ||||
\(509\) | 11.8294 | − | 17.7040i | 0.524330 | − | 0.784716i | −0.470908 | − | 0.882182i | \(-0.656074\pi\) |
0.995239 | + | 0.0974662i | \(0.0310738\pi\) | |||||||
\(510\) | −15.8182 | − | 19.2020i | −0.700440 | − | 0.850280i | ||||
\(511\) | 2.44858 | 0.108319 | ||||||||
\(512\) | 1.84314 | − | 22.5522i | 0.0814561 | − | 0.996677i | ||||
\(513\) | −1.63665 | −0.0722598 | ||||||||
\(514\) | 1.24026 | + | 1.50558i | 0.0547055 | + | 0.0664083i | ||||
\(515\) | −6.65219 | + | 9.95571i | −0.293131 | + | 0.438701i | ||||
\(516\) | −3.36326 | + | 17.2409i | −0.148059 | + | 0.758990i | ||||
\(517\) | 0.408545 | − | 2.05389i | 0.0179678 | − | 0.0903301i | ||||
\(518\) | 20.5789 | − | 2.06524i | 0.904184 | − | 0.0907415i | ||||
\(519\) | −5.31957 | + | 12.8426i | −0.233503 | + | 0.563727i | ||||
\(520\) | −35.5795 | + | 19.2719i | −1.56026 | + | 0.845131i | ||||
\(521\) | −1.46823 | − | 3.54461i | −0.0643242 | − | 0.155292i | 0.888449 | − | 0.458976i | \(-0.151783\pi\) |
−0.952773 | + | 0.303683i | \(0.901783\pi\) | |||||||
\(522\) | 7.27979 | − | 3.90844i | 0.318628 | − | 0.171068i | ||||
\(523\) | 23.2525 | − | 15.5368i | 1.01676 | − | 0.679378i | 0.0687557 | − | 0.997634i | \(-0.478097\pi\) |
0.948005 | + | 0.318256i | \(0.103097\pi\) | |||||||
\(524\) | −0.215039 | − | 0.213455i | −0.00939400 | − | 0.00932483i | ||||
\(525\) | −2.13557 | − | 10.7362i | −0.0932038 | − | 0.468567i | ||||
\(526\) | −6.59115 | + | 2.01271i | −0.287388 | + | 0.0877583i | ||||
\(527\) | −24.7557 | − | 24.7557i | −1.07838 | − | 1.07838i | ||||
\(528\) | −0.298472 | + | 0.735912i | −0.0129893 | + | 0.0320264i | ||||
\(529\) | 8.35867 | − | 8.35867i | 0.363420 | − | 0.363420i | ||||
\(530\) | −18.1765 | + | 34.1575i | −0.789537 | + | 1.48371i | ||||
\(531\) | 7.68882 | − | 1.52940i | 0.333667 | − | 0.0663704i | ||||
\(532\) | −3.95639 | − | 1.62169i | −0.171531 | − | 0.0703092i | ||||
\(533\) | −9.53295 | − | 14.2671i | −0.412918 | − | 0.617975i | ||||
\(534\) | 14.3775 | + | 4.33237i | 0.622174 | + | 0.187480i | ||||
\(535\) | 36.0659 | − | 14.9390i | 1.55927 | − | 0.645869i | ||||
\(536\) | −1.23092 | + | 13.2502i | −0.0531676 | + | 0.572324i | ||||
\(537\) | −22.3682 | − | 9.26520i | −0.965258 | − | 0.399823i | ||||
\(538\) | 3.70685 | − | 4.53387i | 0.159814 | − | 0.195469i | ||||
\(539\) | 1.03077 | + | 0.205033i | 0.0443984 | + | 0.00883139i | ||||
\(540\) | −6.09777 | − | 4.04189i | −0.262406 | − | 0.173935i | ||||
\(541\) | −10.5737 | − | 7.06514i | −0.454600 | − | 0.303754i | 0.307108 | − | 0.951675i | \(-0.400639\pi\) |
−0.761708 | + | 0.647921i | \(0.775639\pi\) | |||||||
\(542\) | 0.934932 | − | 9.67576i | 0.0401588 | − | 0.415610i | ||||
\(543\) | − | 20.5683i | − | 0.882672i | ||||||
\(544\) | −24.1104 | − | 12.6023i | −1.03373 | − | 0.540320i | ||||
\(545\) | − | 35.1626i | − | 1.50620i | ||||||
\(546\) | −7.19164 | − | 0.694901i | −0.307774 | − | 0.0297390i | ||||
\(547\) | 33.6594 | + | 22.4905i | 1.43917 | + | 0.961623i | 0.997935 | + | 0.0642313i | \(0.0204595\pi\) |
0.441235 | + | 0.897391i | \(0.354540\pi\) | |||||||
\(548\) | −38.6151 | + | 7.82947i | −1.64956 | + | 0.334459i | ||||
\(549\) | 1.36988 | + | 0.272485i | 0.0584649 | + | 0.0116294i | ||||
\(550\) | 1.82151 | + | 1.48925i | 0.0776696 | + | 0.0635020i | ||||
\(551\) | −8.83435 | − | 3.65931i | −0.376356 | − | 0.155892i | ||||
\(552\) | −4.93340 | − | 15.9446i | −0.209980 | − | 0.678646i | ||||
\(553\) | 13.3828 | − | 5.54333i | 0.569094 | − | 0.235726i | ||||
\(554\) | −6.96988 | + | 23.1304i | −0.296122 | + | 0.982716i | ||||
\(555\) | −22.7516 | − | 34.0501i | −0.965750 | − | 1.44535i | ||||
\(556\) | 4.76299 | + | 11.3797i | 0.201996 | + | 0.482609i | ||||
\(557\) | 32.9955 | − | 6.56322i | 1.39807 | − | 0.278092i | 0.562188 | − | 0.827009i | \(-0.309960\pi\) |
0.835877 | + | 0.548917i | \(0.184960\pi\) | |||||||
\(558\) | −9.08832 | − | 4.83624i | −0.384739 | − | 0.204734i | ||||
\(559\) | 24.2895 | − | 24.2895i | 1.02734 | − | 1.02734i | ||||
\(560\) | −10.7357 | − | 15.8128i | −0.453664 | − | 0.668213i | ||||
\(561\) | 0.675149 | + | 0.675149i | 0.0285048 | + | 0.0285048i | ||||
\(562\) | −1.95734 | − | 6.40981i | −0.0825652 | − | 0.270382i | ||||
\(563\) | −4.55918 | − | 22.9206i | −0.192147 | − | 0.965986i | −0.949688 | − | 0.313199i | \(-0.898599\pi\) |
0.757541 | − | 0.652788i | \(-0.226401\pi\) | |||||||
\(564\) | 21.0958 | − | 0.0779533i | 0.888293 | − | 0.00328243i | ||||
\(565\) | 12.9105 | − | 8.62652i | 0.543149 | − | 0.362920i | ||||
\(566\) | 3.17949 | + | 5.92207i | 0.133644 | + | 0.248923i | ||||
\(567\) | −0.499893 | − | 1.20685i | −0.0209935 | − | 0.0506829i | ||||
\(568\) | 2.83706 | + | 27.2555i | 0.119040 | + | 1.14362i | ||||
\(569\) | −8.28246 | + | 19.9956i | −0.347219 | + | 0.838261i | 0.649727 | + | 0.760168i | \(0.274883\pi\) |
−0.996946 | + | 0.0780932i | \(0.975117\pi\) | |||||||
\(570\) | 0.845416 | + | 8.42406i | 0.0354106 | + | 0.352845i | ||||
\(571\) | −8.18055 | + | 41.1264i | −0.342345 | + | 1.72109i | 0.299364 | + | 0.954139i | \(0.403225\pi\) |
−0.641710 | + | 0.766948i | \(0.721775\pi\) | |||||||
\(572\) | 1.28804 | − | 0.867540i | 0.0538555 | − | 0.0362737i | ||||
\(573\) | 1.24040 | − | 1.85639i | 0.0518185 | − | 0.0775518i | ||||
\(574\) | 6.25566 | − | 5.15326i | 0.261106 | − | 0.215093i | ||||
\(575\) | −49.4493 | −2.06218 | ||||||||
\(576\) | −7.86310 | − | 1.47365i | −0.327629 | − | 0.0614020i | ||||
\(577\) | 12.5421 | 0.522135 | 0.261068 | − | 0.965321i | \(-0.415925\pi\) | ||||
0.261068 | + | 0.965321i | \(0.415925\pi\) | |||||||
\(578\) | −6.69020 | + | 5.51122i | −0.278276 | + | 0.229237i | ||||
\(579\) | 10.6986 | − | 16.0116i | 0.444619 | − | 0.665419i | ||||
\(580\) | −23.8777 | − | 35.4511i | −0.991466 | − | 1.47203i | ||||
\(581\) | 2.08743 | − | 10.4942i | 0.0866014 | − | 0.435374i | ||||
\(582\) | 0.922960 | + | 9.19675i | 0.0382579 | + | 0.381217i | ||||
\(583\) | 0.568278 | − | 1.37194i | 0.0235357 | − | 0.0568201i | ||||
\(584\) | −4.11691 | − | 3.34065i | −0.170359 | − | 0.138237i | ||||
\(585\) | 5.47470 | + | 13.2171i | 0.226351 | + | 0.546459i | ||||
\(586\) | 4.77395 | + | 8.89187i | 0.197210 | + | 0.367320i | ||||
\(587\) | −2.09167 | + | 1.39761i | −0.0863325 | + | 0.0576855i | −0.597987 | − | 0.801506i | \(-0.704033\pi\) |
0.511655 | + | 0.859191i | \(0.329033\pi\) | |||||||
\(588\) | 0.0391218 | + | 10.5872i | 0.00161336 | + | 0.436608i | ||||
\(589\) | 2.32435 | + | 11.6853i | 0.0957733 | + | 0.481485i | ||||
\(590\) | −11.8437 | − | 38.7854i | −0.487599 | − | 1.59677i | ||||
\(591\) | 10.7623 | + | 10.7623i | 0.442701 | + | 0.442701i | ||||
\(592\) | −37.4179 | − | 24.6038i | −1.53787 | − | 1.01121i | ||||
\(593\) | −23.0604 | + | 23.0604i | −0.946976 | + | 0.946976i | −0.998663 | − | 0.0516877i | \(-0.983540\pi\) |
0.0516877 | + | 0.998663i | \(0.483540\pi\) | |||||||
\(594\) | 0.247861 | + | 0.131896i | 0.0101698 | + | 0.00541176i | ||||
\(595\) | −22.5381 | + | 4.48311i | −0.923973 | + | 0.183790i | ||||
\(596\) | 11.0117 | − | 4.60895i | 0.451058 | − | 0.188790i | ||||
\(597\) | 10.3005 | + | 15.4158i | 0.421572 | + | 0.630926i | ||||
\(598\) | −9.41670 | + | 31.2504i | −0.385078 | + | 1.27793i | ||||
\(599\) | 19.8116 | − | 8.20624i | 0.809480 | − | 0.335298i | 0.0607337 | − | 0.998154i | \(-0.480656\pi\) |
0.748747 | + | 0.662856i | \(0.230656\pi\) | |||||||
\(600\) | −11.0570 | + | 20.9649i | −0.451401 | + | 0.855889i | ||||
\(601\) | −16.8700 | − | 6.98779i | −0.688142 | − | 0.285038i | 0.0110839 | − | 0.999939i | \(-0.496472\pi\) |
−0.699226 | + | 0.714901i | \(0.746472\pi\) | |||||||
\(602\) | 12.5613 | + | 10.2700i | 0.511962 | + | 0.418576i | ||||
\(603\) | 4.61444 | + | 0.917869i | 0.187914 | + | 0.0373785i | ||||
\(604\) | −6.56351 | − | 32.3714i | −0.267065 | − | 1.31717i | ||||
\(605\) | 33.3355 | + | 22.2741i | 1.35528 | + | 0.905570i | ||||
\(606\) | 17.2789 | + | 1.66960i | 0.701908 | + | 0.0678228i | ||||
\(607\) | − | 26.2051i | − | 1.06363i | −0.846860 | − | 0.531815i | \(-0.821510\pi\) | ||
0.846860 | − | 0.531815i | \(-0.178490\pi\) | |||||||
\(608\) | 4.43957 | + | 8.12441i | 0.180048 | + | 0.329489i | ||||
\(609\) | − | 7.63205i | − | 0.309266i | ||||||
\(610\) | 0.694906 | − | 7.19169i | 0.0281359 | − | 0.291183i | ||||
\(611\) | −34.3012 | − | 22.9193i | −1.38768 | − | 0.927216i | ||||
\(612\) | −5.31419 | + | 8.01722i | −0.214813 | + | 0.324077i | ||||
\(613\) | −15.9508 | − | 3.17282i | −0.644248 | − | 0.128149i | −0.137856 | − | 0.990452i | \(-0.544021\pi\) |
−0.506392 | + | 0.862303i | \(0.669021\pi\) | |||||||
\(614\) | −15.7810 | + | 19.3018i | −0.636870 | + | 0.778959i | ||||
\(615\) | −14.8264 | − | 6.14132i | −0.597860 | − | 0.247642i | ||||
\(616\) | 0.468481 | + | 0.564437i | 0.0188757 | + | 0.0227418i | ||||
\(617\) | −12.3333 | + | 5.10860i | −0.496518 | + | 0.205665i | −0.616868 | − | 0.787067i | \(-0.711599\pi\) |
0.120349 | + | 0.992732i | \(0.461599\pi\) | |||||||
\(618\) | 4.43242 | + | 1.33562i | 0.178298 | + | 0.0537267i | ||||
\(619\) | 8.00890 | + | 11.9862i | 0.321905 | + | 0.481765i | 0.956765 | − | 0.290862i | \(-0.0939422\pi\) |
−0.634860 | + | 0.772627i | \(0.718942\pi\) | |||||||
\(620\) | −20.1982 | + | 49.2770i | −0.811179 | + | 1.97901i | ||||
\(621\) | −5.78754 | + | 1.15121i | −0.232246 | + | 0.0461966i | ||||
\(622\) | 0.632172 | − | 1.18799i | 0.0253478 | − | 0.0476339i | ||||
\(623\) | 9.80760 | − | 9.80760i | 0.392933 | − | 0.392933i | ||||
\(624\) | 11.1436 | + | 10.9801i | 0.446100 | + | 0.439555i | ||||
\(625\) | 2.35010 | + | 2.35010i | 0.0940039 | + | 0.0940039i | ||||
\(626\) | −40.6177 | + | 12.4032i | −1.62341 | + | 0.495733i | ||||
\(627\) | −0.0633908 | − | 0.318687i | −0.00253158 | − | 0.0127271i | ||||
\(628\) | −4.55430 | + | 4.58808i | −0.181736 | + | 0.183084i | ||||
\(629\) | −44.7684 | + | 29.9133i | −1.78503 | + | 1.19272i | ||||
\(630\) | −5.95359 | + | 3.19642i | −0.237197 | + | 0.127348i | ||||
\(631\) | −1.25822 | − | 3.03762i | −0.0500891 | − | 0.120926i | 0.896854 | − | 0.442326i | \(-0.145847\pi\) |
−0.946943 | + | 0.321400i | \(0.895847\pi\) | |||||||
\(632\) | −30.0640 | − | 8.93814i | −1.19588 | − | 0.355540i | ||||
\(633\) | 1.78720 | − | 4.31468i | 0.0710348 | − | 0.171493i | ||||
\(634\) | 30.9263 | − | 3.10368i | 1.22824 | − | 0.123263i | ||||
\(635\) | 5.92954 | − | 29.8098i | 0.235307 | − | 1.18297i | ||||
\(636\) | 14.6827 | + | 2.86421i | 0.582208 | + | 0.113573i | ||||
\(637\) | 11.5023 | − | 17.2144i | 0.455739 | − | 0.682061i | ||||
\(638\) | 1.04301 | + | 1.26613i | 0.0412931 | + | 0.0501266i | ||||
\(639\) | 9.68835 | 0.383265 | ||||||||
\(640\) | −3.52336 | + | 41.2337i | −0.139273 | + | 1.62990i | ||||
\(641\) | −4.48078 | −0.176980 | −0.0884902 | − | 0.996077i | \(-0.528204\pi\) | ||||
−0.0884902 | + | 0.996077i | \(0.528204\pi\) | |||||||
\(642\) | −9.59631 | − | 11.6492i | −0.378736 | − | 0.459756i | ||||
\(643\) | 16.9882 | − | 25.4247i | 0.669950 | − | 1.00265i | −0.328361 | − | 0.944552i | \(-0.606496\pi\) |
0.998311 | − | 0.0580984i | \(-0.0185037\pi\) | |||||||
\(644\) | −15.1313 | − | 2.95173i | −0.596259 | − | 0.116314i | ||||
\(645\) | 6.26763 | − | 31.5095i | 0.246788 | − | 1.24069i | ||||
\(646\) | 11.0758 | − | 1.11153i | 0.435771 | − | 0.0437327i | ||||
\(647\) | 4.54775 | − | 10.9792i | 0.178791 | − | 0.431639i | −0.808923 | − | 0.587915i | \(-0.799949\pi\) |
0.987713 | + | 0.156276i | \(0.0499490\pi\) | |||||||
\(648\) | −0.806034 | + | 2.71115i | −0.0316640 | + | 0.106504i | ||||
\(649\) | 0.595608 | + | 1.43792i | 0.0233797 | + | 0.0564435i | ||||
\(650\) | 40.8365 | − | 21.9247i | 1.60174 | − | 0.859956i | ||||
\(651\) | −7.90668 | + | 5.28308i | −0.309887 | + | 0.207060i | ||||
\(652\) | 16.3969 | − | 16.5186i | 0.642153 | − | 0.646917i | ||||
\(653\) | 3.94799 | + | 19.8479i | 0.154497 | + | 0.776707i | 0.977871 | + | 0.209208i | \(0.0670887\pi\) |
−0.823374 | + | 0.567498i | \(0.807911\pi\) | |||||||
\(654\) | −13.0020 | + | 3.97036i | −0.508418 | + | 0.155253i | ||||
\(655\) | 0.391845 | + | 0.391845i | 0.0153107 | + | 0.0153107i | ||||
\(656\) | −17.5486 | + | 0.129693i | −0.685159 | + | 0.00506367i | ||||
\(657\) | −1.32544 | + | 1.32544i | −0.0517105 | + | 0.0517105i | ||||
\(658\) | 9.15384 | − | 17.2020i | 0.356854 | − | 0.670604i | ||||
\(659\) | −12.1097 | + | 2.40876i | −0.471725 | + | 0.0938320i | −0.425228 | − | 0.905086i | \(-0.639806\pi\) |
−0.0464977 | + | 0.998918i | \(0.514806\pi\) | |||||||
\(660\) | 0.550854 | − | 1.34390i | 0.0214420 | − | 0.0523114i | ||||
\(661\) | −7.87981 | − | 11.7930i | −0.306489 | − | 0.458693i | 0.645969 | − | 0.763364i | \(-0.276454\pi\) |
−0.952458 | + | 0.304671i | \(0.901454\pi\) | |||||||
\(662\) | 15.9653 | + | 4.81083i | 0.620510 | + | 0.186978i | ||||
\(663\) | 17.3775 | − | 7.19801i | 0.674888 | − | 0.279548i | ||||
\(664\) | −17.8272 | + | 14.7965i | −0.691830 | + | 0.574217i | ||||
\(665\) | 7.22496 | + | 2.99267i | 0.280172 | + | 0.116051i | ||||
\(666\) | −10.0217 | + | 12.2575i | −0.388331 | + | 0.474970i | ||||
\(667\) | −33.8141 | − | 6.72604i | −1.30929 | − | 0.260433i | ||||
\(668\) | 21.6401 | − | 32.6472i | 0.837280 | − | 1.26316i | ||||
\(669\) | 8.33108 | + | 5.56665i | 0.322098 | + | 0.215219i | ||||
\(670\) | 2.34080 | − | 24.2253i | 0.0904329 | − | 0.935904i | ||||
\(671\) | 0.277295i | 0.0107049i | ||||||||
\(672\) | −4.63485 | + | 5.75519i | −0.178793 | + | 0.222011i | ||||
\(673\) | − | 4.98171i | − | 0.192031i | −0.995380 | − | 0.0960155i | \(-0.969390\pi\) | ||
0.995380 | − | 0.0960155i | \(-0.0306098\pi\) | |||||||
\(674\) | 39.8501 | + | 3.85056i | 1.53497 | + | 0.148318i | ||||
\(675\) | 6.96765 | + | 4.65564i | 0.268185 | + | 0.179196i | ||||
\(676\) | −0.912618 | − | 4.50105i | −0.0351007 | − | 0.173117i | ||||
\(677\) | 34.8922 | + | 6.94050i | 1.34102 | + | 0.266745i | 0.812889 | − | 0.582419i | \(-0.197894\pi\) |
0.528129 | + | 0.849164i | \(0.322894\pi\) | |||||||
\(678\) | −4.64758 | − | 3.79983i | −0.178489 | − | 0.145931i | ||||
\(679\) | 7.88766 | + | 3.26717i | 0.302700 | + | 0.125383i | ||||
\(680\) | 44.0108 | + | 23.2116i | 1.68774 | + | 0.890123i | ||||
\(681\) | −4.59289 | + | 1.90244i | −0.176000 | + | 0.0729015i | ||||
\(682\) | 0.589699 | − | 1.95699i | 0.0225807 | − | 0.0749369i | ||||
\(683\) | 20.6276 | + | 30.8714i | 0.789294 | + | 1.18126i | 0.979879 | + | 0.199592i | \(0.0639616\pi\) |
−0.190585 | + | 0.981671i | \(0.561038\pi\) | |||||||
\(684\) | 3.01948 | − | 1.26380i | 0.115453 | − | 0.0483227i | ||||
\(685\) | 70.6768 | − | 14.0585i | 2.70042 | − | 0.537147i | ||||
\(686\) | 20.0489 | + | 10.6688i | 0.765470 | + | 0.407335i | ||||
\(687\) | −4.68219 | + | 4.68219i | −0.178637 | + | 0.178637i | ||||
\(688\) | −7.10834 | − | 34.4052i | −0.271003 | − | 1.31169i | ||||
\(689\) | −20.6854 | − | 20.6854i | −0.788053 | − | 0.788053i | ||||
\(690\) | 8.91503 | + | 29.1946i | 0.339389 | + | 1.11142i | ||||
\(691\) | 3.38609 | + | 17.0230i | 0.128813 | + | 0.647587i | 0.990202 | + | 0.139641i | \(0.0445949\pi\) |
−0.861389 | + | 0.507946i | \(0.830405\pi\) | |||||||
\(692\) | −0.102731 | − | 27.8012i | −0.00390526 | − | 1.05684i | ||||
\(693\) | 0.215635 | − | 0.144082i | 0.00819128 | − | 0.00547324i | ||||
\(694\) | −14.1001 | − | 26.2627i | −0.535234 | − | 0.996918i | ||||
\(695\) | −8.63420 | − | 20.8448i | −0.327514 | − | 0.790688i | ||||
\(696\) | −10.4126 | + | 12.8321i | −0.394687 | + | 0.486400i | ||||
\(697\) | −8.07447 | + | 19.4935i | −0.305842 | + | 0.738369i | ||||
\(698\) | −0.365277 | − | 3.63976i | −0.0138259 | − | 0.137767i | ||||
\(699\) | 2.12527 | − | 10.6844i | 0.0803850 | − | 0.404123i | ||||
\(700\) | 12.2303 | + | 18.1584i | 0.462264 | + | 0.686323i | ||||
\(701\) | 7.68353 | − | 11.4992i | 0.290203 | − | 0.434319i | −0.657509 | − | 0.753447i | \(-0.728390\pi\) |
0.947712 | + | 0.319127i | \(0.103390\pi\) | |||||||
\(702\) | 4.26908 | − | 3.51676i | 0.161126 | − | 0.132732i | ||||
\(703\) | 18.3232 | 0.691072 | ||||||||
\(704\) | −0.0176065 | − | 1.58817i | −0.000663571 | − | 0.0598566i | ||||
\(705\) | −38.5830 | −1.45312 | ||||||||
\(706\) | 2.52688 | − | 2.08158i | 0.0951003 | − | 0.0783413i | ||||
\(707\) | 8.90833 | − | 13.3323i | 0.335032 | − | 0.501411i | ||||
\(708\) | −13.0043 | + | 8.75885i | −0.488730 | + | 0.329178i | ||||
\(709\) | −7.70005 | + | 38.7108i | −0.289182 | + | 1.45381i | 0.513851 | + | 0.857879i | \(0.328218\pi\) |
−0.803033 | + | 0.595935i | \(0.796782\pi\) | |||||||
\(710\) | −5.00454 | − | 49.8673i | −0.187817 | − | 1.87149i | ||||
\(711\) | −4.24359 | + | 10.2449i | −0.159147 | + | 0.384215i | ||||
\(712\) | −29.8707 | + | 3.10927i | −1.11945 | + | 0.116525i | ||||
\(713\) | 16.4388 | + | 39.6868i | 0.615638 | + | 1.48628i | ||||
\(714\) | 4.20258 | + | 7.82766i | 0.157278 | + | 0.292943i | ||||
\(715\) | −2.36157 | + | 1.57795i | −0.0883178 | + | 0.0590121i | ||||
\(716\) | 48.4220 | − | 0.178929i | 1.80961 | − | 0.00668689i | ||||
\(717\) | 5.23621 | + | 26.3242i | 0.195550 | + | 0.983096i | ||||
\(718\) | −3.30006 | − | 10.8069i | −0.123157 | − | 0.403311i | ||||
\(719\) | −18.6339 | − | 18.6339i | −0.694926 | − | 0.694926i | 0.268385 | − | 0.963312i | \(-0.413510\pi\) |
−0.963312 | + | 0.268385i | \(0.913510\pi\) | |||||||
\(720\) | 14.3710 | + | 2.74832i | 0.535575 | + | 0.102424i | ||||
\(721\) | 3.02358 | − | 3.02358i | 0.112604 | − | 0.112604i | ||||
\(722\) | 20.3765 | + | 10.8431i | 0.758335 | + | 0.403539i | ||||
\(723\) | −10.2899 | + | 2.04679i | −0.382686 | + | 0.0761210i | ||||
\(724\) | 15.8827 | + | 37.9469i | 0.590274 | + | 1.41029i | ||||
\(725\) | 27.2009 | + | 40.7090i | 1.01021 | + | 1.51189i | ||||
\(726\) | 4.47218 | − | 14.8414i | 0.165978 | − | 0.550818i | ||||
\(727\) | −13.3918 | + | 5.54705i | −0.496673 | + | 0.205729i | −0.616936 | − | 0.787013i | \(-0.711626\pi\) |
0.120263 | + | 0.992742i | \(0.461626\pi\) | |||||||
\(728\) | 13.8046 | − | 4.27127i | 0.511632 | − | 0.158304i | ||||
\(729\) | 0.923880 | + | 0.382683i | 0.0342178 | + | 0.0141735i | ||||
\(730\) | 7.50691 | + | 6.13758i | 0.277843 | + | 0.227162i | ||||
\(731\) | −41.4280 | − | 8.24055i | −1.53227 | − | 0.304788i | ||||
\(732\) | −2.73772 | + | 0.555091i | −0.101189 | + | 0.0205167i | ||||
\(733\) | −14.4510 | − | 9.65582i | −0.533758 | − | 0.356646i | 0.259295 | − | 0.965798i | \(-0.416510\pi\) |
−0.793053 | + | 0.609152i | \(0.791510\pi\) | |||||||
\(734\) | −19.5343 | − | 1.88752i | −0.721022 | − | 0.0696697i | ||||
\(735\) | − | 19.3633i | − | 0.714227i | ||||||
\(736\) | 21.4139 | + | 25.6069i | 0.789329 | + | 0.943883i | ||||
\(737\) | 0.934071i | 0.0344069i | ||||||||
\(738\) | −0.596742 | + | 6.17578i | −0.0219664 | + | 0.227334i | ||||
\(739\) | 27.1683 | + | 18.1533i | 0.999401 | + | 0.667779i | 0.943746 | − | 0.330671i | \(-0.107275\pi\) |
0.0556553 | + | 0.998450i | \(0.482275\pi\) | |||||||
\(740\) | 68.2679 | + | 45.2512i | 2.50958 | + | 1.66347i | ||||
\(741\) | −6.27802 | − | 1.24878i | −0.230629 | − | 0.0458750i | ||||
\(742\) | 8.74616 | − | 10.6975i | 0.321082 | − | 0.392717i | ||||
\(743\) | −1.39715 | − | 0.578718i | −0.0512564 | − | 0.0212311i | 0.356908 | − | 0.934140i | \(-0.383831\pi\) |
−0.408164 | + | 0.912908i | \(0.633831\pi\) | |||||||
\(744\) | 20.5017 | + | 1.90456i | 0.751628 | + | 0.0698247i | ||||
\(745\) | −20.1707 | + | 8.35497i | −0.738997 | + | 0.306102i | ||||
\(746\) | 0.288889 | + | 0.0870510i | 0.0105770 | + | 0.00318717i | ||||
\(747\) | 4.55070 | + | 6.81061i | 0.166502 | + | 0.249187i | ||||
\(748\) | −1.76694 | − | 0.724251i | −0.0646056 | − | 0.0264813i | ||||
\(749\) | −13.6731 | + | 2.71974i | −0.499603 | + | 0.0993772i | ||||
\(750\) | 8.21356 | − | 15.4350i | 0.299917 | − | 0.563607i | ||||
\(751\) | −14.2852 | + | 14.2852i | −0.521274 | + | 0.521274i | −0.917956 | − | 0.396682i | \(-0.870162\pi\) |
0.396682 | + | 0.917956i | \(0.370162\pi\) | |||||||
\(752\) | −38.8598 | + | 16.4338i | −1.41707 | + | 0.599278i | ||||
\(753\) | 14.3606 | + | 14.3606i | 0.523328 | + | 0.523328i | ||||
\(754\) | 30.9067 | − | 9.43784i | 1.12556 | − | 0.343706i | ||||
\(755\) | 11.7853 | + | 59.2489i | 0.428912 | + | 2.15629i | ||||
\(756\) | 1.85418 | + | 1.84052i | 0.0674358 | + | 0.0669392i | ||||
\(757\) | −7.91280 | + | 5.28717i | −0.287596 | + | 0.192165i | −0.690997 | − | 0.722858i | \(-0.742828\pi\) |
0.403401 | + | 0.915023i | \(0.367828\pi\) | |||||||
\(758\) | −36.8455 | + | 19.7820i | −1.33829 | + | 0.718513i | ||||
\(759\) | −0.448327 | − | 1.08236i | −0.0162732 | − | 0.0392871i | ||||
\(760\) | −8.06469 | − | 14.8889i | −0.292537 | − | 0.540076i | ||||
\(761\) | −8.41830 | + | 20.3236i | −0.305163 | + | 0.736729i | 0.694685 | + | 0.719314i | \(0.255544\pi\) |
−0.999848 | + | 0.0174150i | \(0.994456\pi\) | |||||||
\(762\) | −11.6922 | + | 1.17340i | −0.423565 | + | 0.0425078i | ||||
\(763\) | −2.44978 | + | 12.3159i | −0.0886880 | + | 0.445865i | ||||
\(764\) | −0.854952 | + | 4.38271i | −0.0309311 | + | 0.158561i | ||||
\(765\) | 9.77339 | − | 14.6269i | 0.353358 | − | 0.528837i | ||||
\(766\) | −11.5550 | − | 14.0269i | −0.417498 | − | 0.506811i | ||||
\(767\) | 30.6605 | 1.10709 | ||||||||
\(768\) | 15.6447 | − | 3.35304i | 0.564530 | − | 0.120993i | ||||
\(769\) | 23.8552 | 0.860241 | 0.430120 | − | 0.902772i | \(-0.358471\pi\) | ||||
0.430120 | + | 0.902772i | \(0.358471\pi\) | |||||||
\(770\) | −0.852999 | − | 1.03547i | −0.0307399 | − | 0.0373159i | ||||
\(771\) | −0.766306 | + | 1.14686i | −0.0275978 | + | 0.0413031i | ||||
\(772\) | −7.37407 | + | 37.8014i | −0.265398 | + | 1.36050i | ||||
\(773\) | 5.32227 | − | 26.7568i | 0.191429 | − | 0.962377i | −0.758919 | − | 0.651186i | \(-0.774272\pi\) |
0.950347 | − | 0.311191i | \(-0.100728\pi\) | |||||||
\(774\) | −12.3589 | + | 1.24031i | −0.444231 | + | 0.0445819i | ||||
\(775\) | 23.3448 | − | 56.3594i | 0.838571 | − | 2.02449i | ||||
\(776\) | −8.80442 | − | 16.2545i | −0.316060 | − | 0.583504i | ||||
\(777\) | 5.59658 | + | 13.5113i | 0.200776 | + | 0.484716i | ||||
\(778\) | −37.7810 | + | 20.2842i | −1.35451 | + | 0.727224i | ||||
\(779\) | 5.97031 | − | 3.98923i | 0.213909 | − | 0.142929i | ||||
\(780\) | −20.3065 | − | 20.1569i | −0.727088 | − | 0.721734i | ||||
\(781\) | 0.375250 | + | 1.88651i | 0.0134275 | + | 0.0675045i | ||||
\(782\) | 38.3845 | − | 11.7213i | 1.37263 | − | 0.419152i | ||||
\(783\) | 4.13132 | + | 4.13132i | 0.147641 | + | 0.147641i | ||||
\(784\) | −8.24748 | − | 19.5023i | −0.294553 | − | 0.696509i | ||||
\(785\) | 8.36044 | − | 8.36044i | 0.298397 | − | 0.298397i | ||||
\(786\) | 0.100647 | − | 0.189136i | 0.00358995 | − | 0.00674627i | ||||
\(787\) | −34.0492 | + | 6.77280i | −1.21372 | + | 0.241424i | −0.760122 | − | 0.649781i | \(-0.774861\pi\) |
−0.453601 | + | 0.891205i | \(0.649861\pi\) | |||||||
\(788\) | −28.1661 | − | 11.5450i | −1.00337 | − | 0.411274i | ||||
\(789\) | −2.70735 | − | 4.05184i | −0.0963842 | − | 0.144249i | ||||
\(790\) | 54.9241 | + | 16.5503i | 1.95411 | + | 0.588833i | ||||
\(791\) | −5.12298 | + | 2.12201i | −0.182152 | + | 0.0754499i | ||||
\(792\) | −0.559131 | − | 0.0519421i | −0.0198679 | − | 0.00184568i | ||||
\(793\) | 5.04680 | + | 2.09045i | 0.179217 | + | 0.0742342i | ||||
\(794\) | 2.51150 | − | 3.07183i | 0.0891298 | − | 0.109015i | ||||
\(795\) | −26.8341 | − | 5.33764i | −0.951708 | − | 0.189306i | ||||
\(796\) | −30.9075 | − | 20.4869i | −1.09549 | − | 0.726140i | ||||
\(797\) | 31.6098 | + | 21.1210i | 1.11968 | + | 0.748143i | 0.970604 | − | 0.240683i | \(-0.0773714\pi\) |
0.149072 | + | 0.988826i | \(0.452371\pi\) | |||||||
\(798\) | 0.290794 | − | 3.00947i | 0.0102940 | − | 0.106534i | ||||
\(799\) | 50.7281i | 1.79463i | ||||||||
\(800\) | 4.21041 | − | 47.2167i | 0.148860 | − | 1.66936i | ||||
\(801\) | 10.6179i | 0.375166i | ||||||||
\(802\) | −10.5686 | − | 1.02120i | −0.373190 | − | 0.0360599i | ||||
\(803\) | −0.309427 | − | 0.206752i | −0.0109194 | − | 0.00729613i | ||||
\(804\) | −9.22203 | + | 1.86983i | −0.325236 | + | 0.0659437i | ||||
\(805\) | 27.6540 | + | 5.50073i | 0.974676 | + | 0.193875i | ||||
\(806\) | −31.1718 | − | 25.4858i | −1.09798 | − | 0.897699i | ||||
\(807\) | 3.82584 | + | 1.58471i | 0.134676 | + | 0.0557846i | ||||
\(808\) | −33.1675 | + | 10.2623i | −1.16683 | + | 0.361028i | ||||
\(809\) | −9.19116 | + | 3.80710i | −0.323144 | + | 0.133851i | −0.538358 | − | 0.842716i | \(-0.680955\pi\) |
0.215214 | + | 0.976567i | \(0.430955\pi\) | |||||||
\(810\) | 1.49249 | − | 4.95301i | 0.0524408 | − | 0.174031i | ||||
\(811\) | 14.2202 | + | 21.2820i | 0.499339 | + | 0.747314i | 0.992450 | − | 0.122653i | \(-0.0391402\pi\) |
−0.493110 | + | 0.869967i | \(0.664140\pi\) | |||||||
\(812\) | 5.89338 | + | 14.0805i | 0.206817 | + | 0.494129i | ||||
\(813\) | 6.74159 | − | 1.34099i | 0.236438 | − | 0.0470304i | ||||
\(814\) | −2.77494 | − | 1.47665i | −0.0972615 | − | 0.0517565i | ||||
\(815\) | −30.1002 | + | 30.1002i | −1.05437 | + | 1.05437i | ||||
\(816\) | 3.61343 | − | 18.8947i | 0.126495 | − | 0.661446i | ||||
\(817\) | 10.1644 | + | 10.1644i | 0.355607 | + | 0.355607i | ||||
\(818\) | −14.0640 | − | 46.0564i | −0.491737 | − | 1.61032i | ||||
\(819\) | −0.996705 | − | 5.01077i | −0.0348277 | − | 0.175091i | ||||
\(820\) | 32.0958 | − | 0.118601i | 1.12084 | − | 0.00414172i | ||||
\(821\) | 7.65208 | − | 5.11296i | 0.267059 | − | 0.178443i | −0.414829 | − | 0.909899i | \(-0.636159\pi\) |
0.681889 | + | 0.731456i | \(0.261159\pi\) | |||||||
\(822\) | −13.1788 | − | 24.5466i | −0.459663 | − | 0.856160i | ||||
\(823\) | −21.4961 | − | 51.8962i | −0.749307 | − | 1.80899i | −0.562922 | − | 0.826510i | \(-0.690323\pi\) |
−0.186385 | − | 0.982477i | \(-0.559677\pi\) | |||||||
\(824\) | −9.20882 | + | 0.958555i | −0.320804 | + | 0.0333929i | ||||
\(825\) | −0.636670 | + | 1.53706i | −0.0221660 | + | 0.0535135i | ||||
\(826\) | 1.44614 | + | 14.4099i | 0.0503177 | + | 0.501386i | ||||
\(827\) | 5.27266 | − | 26.5075i | 0.183348 | − | 0.921755i | −0.774081 | − | 0.633087i | \(-0.781788\pi\) |
0.957429 | − | 0.288668i | \(-0.0932123\pi\) | |||||||
\(828\) | 9.78859 | − | 6.59297i | 0.340177 | − | 0.229122i | ||||
\(829\) | −5.97593 | + | 8.94362i | −0.207553 | + | 0.310625i | −0.920612 | − | 0.390480i | \(-0.872309\pi\) |
0.713059 | + | 0.701104i | \(0.247309\pi\) | |||||||
\(830\) | 32.7045 | − | 26.9411i | 1.13519 | − | 0.935141i | ||||
\(831\) | −17.0821 | −0.592570 | ||||||||
\(832\) | −29.0377 | − | 11.6524i | −1.00670 | − | 0.403974i | ||||
\(833\) | −25.4585 | −0.882085 | ||||||||
\(834\) | −6.73280 | + | 5.54632i | −0.233138 | + | 0.192053i | ||||
\(835\) | −39.7986 | + | 59.5627i | −1.37729 | + | 2.06125i | ||||
\(836\) | 0.363038 | + | 0.539002i | 0.0125559 | + | 0.0186418i | ||||
\(837\) | 1.42019 | − | 7.13978i | 0.0490889 | − | 0.246787i | ||||
\(838\) | 3.44726 | + | 34.3499i | 0.119084 | + | 1.18660i | ||||
\(839\) | 5.86620 | − | 14.1623i | 0.202524 | − | 0.488936i | −0.789686 | − | 0.613511i | \(-0.789757\pi\) |
0.992210 | + | 0.124575i | \(0.0397567\pi\) | |||||||
\(840\) | 8.51565 | − | 10.4944i | 0.293818 | − | 0.362092i | ||||
\(841\) | 1.96530 | + | 4.74465i | 0.0677689 | + | 0.163609i | ||||
\(842\) | 9.21651 | + | 17.1665i | 0.317622 | + | 0.591597i | ||||
\(843\) | 3.94036 | − | 2.63287i | 0.135713 | − | 0.0906807i | ||||
\(844\) | 0.0345143 | + | 9.34029i | 0.00118803 | + | 0.321506i | ||||
\(845\) | 1.63868 | + | 8.23822i | 0.0563724 | + | 0.283403i | ||||
\(846\) | 4.35657 | + | 14.2667i | 0.149782 | + | 0.490500i | ||||
\(847\) | −10.1241 | − | 10.1241i | −0.347868 | − | 0.347868i | ||||
\(848\) | −29.3001 | + | 6.05360i | −1.00617 | + | 0.207881i | ||||
\(849\) | −3.36081 | + | 3.36081i | −0.115343 | + | 0.115343i | ||||
\(850\) | −50.3144 | − | 26.7742i | −1.72577 | − | 0.918348i | ||||
\(851\) | 64.7947 | − | 12.8885i | 2.22114 | − | 0.441811i | ||||
\(852\) | −17.8742 | + | 7.48124i | −0.612360 | + | 0.256303i | ||||
\(853\) | −22.9937 | − | 34.4126i | −0.787290 | − | 1.17826i | −0.980387 | − | 0.197084i | \(-0.936853\pi\) |
0.193096 | − | 0.981180i | \(-0.438147\pi\) | |||||||
\(854\) | −0.744440 | + | 2.47051i | −0.0254742 | + | 0.0845392i | ||||
\(855\) | −5.53093 | + | 2.29098i | −0.189154 | + | 0.0783500i | ||||
\(856\) | 26.6998 | + | 14.0816i | 0.912580 | + | 0.481300i | ||||
\(857\) | 11.8164 | + | 4.89452i | 0.403641 | + | 0.167193i | 0.575261 | − | 0.817970i | \(-0.304900\pi\) |
−0.171621 | + | 0.985163i | \(0.554900\pi\) | |||||||
\(858\) | 0.850131 | + | 0.695060i | 0.0290230 | + | 0.0237290i | ||||
\(859\) | −15.5583 | − | 3.09474i | −0.530843 | − | 0.105591i | −0.0776110 | − | 0.996984i | \(-0.524729\pi\) |
−0.453232 | + | 0.891392i | \(0.649729\pi\) | |||||||
\(860\) | 12.7680 | + | 62.9723i | 0.435387 | + | 2.14734i | ||||
\(861\) | 4.76517 | + | 3.18399i | 0.162397 | + | 0.108510i | ||||
\(862\) | 41.6217 | + | 4.02174i | 1.41764 | + | 0.136981i | ||||
\(863\) | 11.5978i | 0.394793i | 0.980324 | + | 0.197396i | \(0.0632486\pi\) | ||||
−0.980324 | + | 0.197396i | \(0.936751\pi\) | |||||||
\(864\) | −0.606451 | − | 5.62425i | −0.0206319 | − | 0.191341i | ||||
\(865\) | 50.8468i | 1.72884i | ||||||||
\(866\) | −0.0880674 | + | 0.911424i | −0.00299265 | + | 0.0309714i | ||||
\(867\) | −5.09618 | − | 3.40516i | −0.173075 | − | 0.115645i | ||||
\(868\) | 10.5076 | − | 15.8523i | 0.356653 | − | 0.538062i | ||||
\(869\) | −2.15925 | − | 0.429501i | −0.0732475 | − | 0.0145698i | ||||
\(870\) | 19.1304 | − | 23.3985i | 0.648582 | − | 0.793284i | ||||
\(871\) | 17.0002 | + | 7.04171i | 0.576029 | + | 0.238599i | ||||
\(872\) | 20.9217 | − | 17.3650i | 0.708500 | − | 0.588053i | ||||
\(873\) | −6.03824 | + | 2.50112i | −0.204364 | + | 0.0846502i | ||||
\(874\) | −13.0773 | − | 3.94059i | −0.442346 | − | 0.133292i | ||||
\(875\) | −8.97244 | − | 13.4282i | −0.303324 | − | 0.453956i | ||||
\(876\) | 1.42184 | − | 3.46883i | 0.0480396 | − | 0.117201i | ||||
\(877\) | −29.2277 | + | 5.81375i | −0.986949 | + | 0.196316i | −0.662072 | − | 0.749440i | \(-0.730323\pi\) |
−0.324876 | + | 0.945756i | \(0.605323\pi\) | |||||||
\(878\) | 11.4522 | − | 21.5211i | 0.386493 | − | 0.726302i | ||||
\(879\) | −5.04618 | + | 5.04618i | −0.170204 | + | 0.170204i | ||||
\(880\) | 0.0214676 | + | 2.90476i | 0.000723674 | + | 0.0979193i | ||||
\(881\) | 14.4448 | + | 14.4448i | 0.486658 | + | 0.486658i | 0.907250 | − | 0.420592i | \(-0.138177\pi\) |
−0.420592 | + | 0.907250i | \(0.638177\pi\) | |||||||
\(882\) | −7.15993 | + | 2.18639i | −0.241087 | + | 0.0736197i | ||||
\(883\) | −1.31696 | − | 6.62080i | −0.0443192 | − | 0.222808i | 0.952278 | − | 0.305232i | \(-0.0987339\pi\) |
−0.996597 | + | 0.0824239i | \(0.973734\pi\) | |||||||
\(884\) | −26.5019 | + | 26.6985i | −0.891356 | + | 0.897968i | ||||
\(885\) | 23.8429 | − | 15.9313i | 0.801471 | − | 0.535526i | ||||
\(886\) | −18.5313 | + | 9.94924i | −0.622570 | + | 0.334251i | ||||
\(887\) | 6.51843 | + | 15.7369i | 0.218867 | + | 0.528392i | 0.994732 | − | 0.102506i | \(-0.0326862\pi\) |
−0.775865 | + | 0.630899i | \(0.782686\pi\) | |||||||
\(888\) | 9.02400 | − | 30.3528i | 0.302826 | − | 1.01857i | ||||
\(889\) | −4.15370 | + | 10.0279i | −0.139311 | + | 0.336326i | ||||
\(890\) | 54.6520 | − | 5.48473i | 1.83194 | − | 0.183848i | ||||
\(891\) | −0.0387321 | + | 0.194719i | −0.00129757 | + | 0.00652334i | ||||
\(892\) | −19.6687 | − | 3.83684i | −0.658556 | − | 0.128467i | ||||
\(893\) | 9.59099 | − | 14.3539i | 0.320950 | − | 0.480336i | ||||
\(894\) | 5.36695 | + | 6.51507i | 0.179498 | + | 0.217896i | ||||
\(895\) | −88.5609 | −2.96027 | ||||||||
\(896\) | 4.10683 | − | 14.1968i | 0.137200 | − | 0.474283i | ||||
\(897\) | −23.0788 | −0.770580 | ||||||||
\(898\) | −13.8720 | − | 16.8395i | −0.462914 | − | 0.561942i | ||||
\(899\) | 23.6294 | − | 35.3639i | 0.788086 | − | 1.17945i | ||||
\(900\) | −16.4498 | − | 3.20892i | −0.548326 | − | 0.106964i | ||||
\(901\) | −7.01781 | + | 35.2809i | −0.233797 | + | 1.17538i | ||||
\(902\) | −1.22566 | + | 0.123003i | −0.0408099 | + | 0.00409557i | ||||
\(903\) | −4.39054 | + | 10.5997i | −0.146108 | + | 0.352736i | ||||
\(904\) | 11.5086 | + | 3.42155i | 0.382770 | + | 0.113799i | ||||
\(905\) | −28.7916 | − | 69.5091i | −0.957065 | − | 2.31056i | ||||
\(906\) | 20.5776 | − | 11.0479i | 0.683644 | − | 0.367041i | ||||
\(907\) | 40.1409 | − | 26.8213i | 1.33286 | − | 0.890586i | 0.334204 | − | 0.942501i | \(-0.391532\pi\) |
0.998652 | + | 0.0519149i | \(0.0165325\pi\) | |||||||
\(908\) | 7.00446 | − | 7.05642i | 0.232451 | − | 0.234175i | ||||
\(909\) | 2.39472 | + | 12.0391i | 0.0794280 | + | 0.399311i | ||||
\(910\) | −25.2763 | + | 7.71850i | −0.837901 | + | 0.255866i | ||||
\(911\) | 5.78484 | + | 5.78484i | 0.191660 | + | 0.191660i | 0.796413 | − | 0.604753i | \(-0.206728\pi\) |
−0.604753 | + | 0.796413i | \(0.706728\pi\) | |||||||
\(912\) | −4.59481 | + | 4.66323i | −0.152149 | + | 0.154415i | ||||
\(913\) | −1.14990 | + | 1.14990i | −0.0380561 | + | 0.0380561i | ||||
\(914\) | 7.71320 | − | 14.4947i | 0.255130 | − | 0.479443i | ||||
\(915\) | 5.01081 | − | 0.996713i | 0.165652 | − | 0.0329503i | ||||
\(916\) | 5.02272 | − | 12.2538i | 0.165955 | − | 0.404877i | ||||
\(917\) | −0.109946 | − | 0.164546i | −0.00363073 | − | 0.00543377i | ||||
\(918\) | −6.51211 | − | 1.96230i | −0.214932 | − | 0.0647654i | ||||
\(919\) | 0.487110 | − | 0.201768i | 0.0160683 | − | 0.00665570i | −0.374635 | − | 0.927172i | \(-0.622232\pi\) |
0.390703 | + | 0.920517i | \(0.372232\pi\) | |||||||
\(920\) | −38.9913 | − | 46.9776i | −1.28550 | − | 1.54881i | ||||
\(921\) | −16.2876 | − | 6.74653i | −0.536694 | − | 0.222306i | ||||
\(922\) | −9.02358 | + | 11.0368i | −0.297176 | + | 0.363477i | ||||
\(923\) | 37.1635 | + | 7.39229i | 1.22325 | + | 0.243320i | ||||
\(924\) | −0.286569 | + | 0.432331i | −0.00942744 | + | 0.0142226i | ||||
\(925\) | −78.0067 | − | 52.1224i | −2.56485 | − | 1.71378i | ||||
\(926\) | −3.90083 | + | 40.3703i | −0.128189 | + | 1.32665i | ||||
\(927\) | 3.27340i | 0.107513i | ||||||||
\(928\) | 9.30149 | − | 31.7147i | 0.305336 | − | 1.04109i | ||||
\(929\) | 33.3160i | 1.09306i | 0.837439 | + | 0.546531i | \(0.184052\pi\) | ||||
−0.837439 | + | 0.546531i | \(0.815948\pi\) | |||||||
\(930\) | −37.4830 | − | 3.62184i | −1.22912 | − | 0.118765i | ||||
\(931\) | 7.20369 | + | 4.81335i | 0.236091 | + | 0.157751i | ||||
\(932\) | 4.32947 | + | 21.3530i | 0.141816 | + | 0.699442i | ||||
\(933\) | 0.933281 | + | 0.185641i | 0.0305542 | + | 0.00607761i | ||||
\(934\) | 7.50772 | + | 6.13825i | 0.245660 | + | 0.200850i | ||||
\(935\) | 3.22669 | + | 1.33654i | 0.105524 | + | 0.0437094i | ||||
\(936\) | −5.16049 | + | 9.78467i | −0.168676 | + | 0.319822i | ||||
\(937\) | −21.7371 | + | 9.00381i | −0.710121 | + | 0.294142i | −0.708355 | − | 0.705857i | \(-0.750562\pi\) |
−0.00176640 | + | 0.999998i | \(0.500562\pi\) | |||||||
\(938\) | −2.50765 | + | 8.32194i | −0.0818778 | + | 0.271721i | ||||
\(939\) | −16.6839 | − | 24.9693i | −0.544459 | − | 0.814841i | ||||
\(940\) | 71.1824 | − | 29.7934i | 2.32172 | − | 0.971753i | ||||
\(941\) | −38.3485 | + | 7.62799i | −1.25013 | + | 0.248665i | −0.775401 | − | 0.631469i | \(-0.782452\pi\) |
−0.474724 | + | 0.880134i | \(0.657452\pi\) | |||||||
\(942\) | −4.03543 | − | 2.14741i | −0.131481 | − | 0.0699663i | ||||
\(943\) | 18.3063 | − | 18.3063i | 0.596135 | − | 0.596135i | ||||
\(944\) | 17.2283 | − | 26.2011i | 0.560734 | − | 0.852774i | ||||
\(945\) | −3.37870 | − | 3.37870i | −0.109909 | − | 0.109909i | ||||
\(946\) | −0.720197 | − | 2.35847i | −0.0234156 | − | 0.0766806i | ||||
\(947\) | 8.47316 | + | 42.5975i | 0.275341 | + | 1.38423i | 0.832592 | + | 0.553887i | \(0.186856\pi\) |
−0.557251 | + | 0.830344i | \(0.688144\pi\) | |||||||
\(948\) | −0.0819520 | − | 22.1779i | −0.00266168 | − | 0.720305i | ||||
\(949\) | −6.09560 | + | 4.07295i | −0.197872 | + | 0.132214i | ||||
\(950\) | 9.17477 | + | 17.0888i | 0.297669 | + | 0.554433i | ||||
\(951\) | 8.41063 | + | 20.3051i | 0.272733 | + | 0.658437i | ||||
\(952\) | −13.7979 | − | 11.1962i | −0.447191 | − | 0.362871i | ||||
\(953\) | 19.4752 | − | 47.0173i | 0.630863 | − | 1.52304i | −0.207676 | − | 0.978198i | \(-0.566590\pi\) |
0.838539 | − | 0.544841i | \(-0.183410\pi\) | |||||||
\(954\) | 1.05627 | + | 10.5251i | 0.0341979 | + | 0.340762i | ||||
\(955\) | 1.59326 | − | 8.00984i | 0.0515566 | − | 0.259192i | ||||
\(956\) | −29.9877 | − | 44.5227i | −0.969870 | − | 1.43997i | ||||
\(957\) | −0.644432 | + | 0.964461i | −0.0208315 | + | 0.0311766i | ||||
\(958\) | 25.7290 | − | 21.1950i | 0.831268 | − | 0.684778i | ||||
\(959\) | −25.7344 | −0.831006 | ||||||||
\(960\) | −28.6355 | + | 6.02671i | −0.924208 | + | 0.194511i | ||||
\(961\) | −21.9933 | −0.709462 | ||||||||
\(962\) | −47.7947 | + | 39.3721i | −1.54096 | + | 1.26941i | ||||
\(963\) | 5.92917 | − | 8.87362i | 0.191065 | − | 0.285949i | ||||
\(964\) | 17.4035 | − | 11.7219i | 0.560530 | − | 0.377538i | ||||
\(965\) | 13.7420 | − | 69.0858i | 0.442371 | − | 2.22395i | ||||
\(966\) | −1.08854 | − | 10.8467i | −0.0350233 | − | 0.348986i | ||||
\(967\) | 12.0763 | − | 29.1548i | 0.388348 | − | 0.937556i | −0.601942 | − | 0.798540i | \(-0.705606\pi\) |
0.990290 | − | 0.139016i | \(-0.0443939\pi\) | |||||||
\(968\) | 3.20961 | + | 30.8346i | 0.103161 | + | 0.991062i | ||||
\(969\) | 3.01214 | + | 7.27194i | 0.0967638 | + | 0.233609i | ||||
\(970\) | 15.9927 | + | 29.7877i | 0.513494 | + | 0.956426i | ||||
\(971\) | 4.79328 | − | 3.20277i | 0.153824 | − | 0.102782i | −0.476276 | − | 0.879296i | \(-0.658014\pi\) |
0.630100 | + | 0.776514i | \(0.283014\pi\) | |||||||
\(972\) | −1.99999 | + | 0.00739036i | −0.0641496 | + | 0.000237046i | ||||
\(973\) | 1.57191 | + | 7.90254i | 0.0503932 | + | 0.253344i | ||||
\(974\) | 7.29984 | + | 23.9053i | 0.233902 | + | 0.765974i | ||||
\(975\) | 23.1749 | + | 23.1749i | 0.742192 | + | 0.742192i | ||||
\(976\) | 4.62223 | − | 3.13814i | 0.147954 | − | 0.100449i | ||||
\(977\) | −1.57017 | + | 1.57017i | −0.0502341 | + | 0.0502341i | −0.731778 | − | 0.681543i | \(-0.761309\pi\) |
0.681543 | + | 0.731778i | \(0.261309\pi\) | |||||||
\(978\) | 14.5288 | + | 7.73135i | 0.464581 | + | 0.247221i | ||||
\(979\) | −2.06752 | + | 0.411255i | −0.0660781 | + | 0.0131438i | ||||
\(980\) | 14.9522 | + | 35.7238i | 0.477629 | + | 1.14115i | ||||
\(981\) | −5.34064 | − | 7.99283i | −0.170513 | − | 0.255191i | ||||
\(982\) | 3.03827 | − | 10.0829i | 0.0969550 | − | 0.321757i | ||||
\(983\) | −26.6882 | + | 11.0546i | −0.851221 | + | 0.352587i | −0.765268 | − | 0.643712i | \(-0.777393\pi\) |
−0.0859528 | + | 0.996299i | \(0.527393\pi\) | |||||||
\(984\) | −3.66793 | − | 11.8546i | −0.116929 | − | 0.377911i | ||||
\(985\) | 51.4354 | + | 21.3052i | 1.63887 | + | 0.678841i | ||||
\(986\) | −30.7639 | − | 25.1523i | −0.979721 | − | 0.801011i | ||||
\(987\) | 13.5139 | + | 2.68808i | 0.430152 | + | 0.0855625i | ||||
\(988\) | 12.5467 | − | 2.54393i | 0.399165 | − | 0.0809333i | ||||
\(989\) | 43.0931 | + | 28.7939i | 1.37028 | + | 0.915592i | ||||
\(990\) | 1.02225 | + | 0.0987765i | 0.0324893 | + | 0.00313932i | ||||
\(991\) | − | 52.5768i | − | 1.67016i | −0.550132 | − | 0.835078i | \(-0.685423\pi\) | ||
0.550132 | − | 0.835078i | \(-0.314577\pi\) | |||||||
\(992\) | −39.2946 | + | 12.3174i | −1.24761 | + | 0.391079i | ||||
\(993\) | 11.7906i | 0.374163i | ||||||||
\(994\) | −1.72139 | + | 17.8149i | −0.0545992 | + | 0.565055i | ||||
\(995\) | 56.3888 | + | 37.6778i | 1.78764 | + | 1.19447i | ||||
\(996\) | −13.6548 | − | 9.05101i | −0.432668 | − | 0.286792i | ||||
\(997\) | 2.31625 | + | 0.460731i | 0.0733564 | + | 0.0145915i | 0.231632 | − | 0.972803i | \(-0.425593\pi\) |
−0.158276 | + | 0.987395i | \(0.550593\pi\) | |||||||
\(998\) | 12.1478 | − | 14.8580i | 0.384531 | − | 0.470322i | ||||
\(999\) | −10.3433 | − | 4.28435i | −0.327249 | − | 0.135551i |
(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 | 192.2.r.a.37.5 | ✓ | 128 | |
3.2 | odd | 2 | 576.2.bd.b.37.12 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.241.8 | 128 | |||
64.19 | odd | 16 | 768.2.r.a.529.8 | 128 | |||
64.45 | even | 16 | inner | 192.2.r.a.109.5 | yes | 128 | |
192.173 | odd | 16 | 576.2.bd.b.109.12 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.37.5 | ✓ | 128 | 1.1 | even | 1 | trivial | |
192.2.r.a.109.5 | yes | 128 | 64.45 | even | 16 | inner | |
576.2.bd.b.37.12 | 128 | 3.2 | odd | 2 | |||
576.2.bd.b.109.12 | 128 | 192.173 | odd | 16 | |||
768.2.r.a.241.8 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.529.8 | 128 | 64.19 | odd | 16 |