Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.10 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.10 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29990 | + | 1.63003i | −0.919171 | + | 1.15260i | 0.0687479 | + | 0.997634i | \(0.478100\pi\) |
−0.987919 | + | 0.154970i | \(0.950472\pi\) | |||||||
\(3\) | 0.470647 | + | 3.12254i | 0.271728 | + | 1.80280i | 0.542391 | + | 0.840126i | \(0.317519\pi\) |
−0.270663 | + | 0.962674i | \(0.587243\pi\) | |||||||
\(4\) | −0.522200 | − | 2.28791i | −0.261100 | − | 1.14395i | ||||
\(5\) | 1.19265 | + | 1.74929i | 0.533369 | + | 0.782308i | 0.994468 | − | 0.105040i | \(-0.0334972\pi\) |
−0.461099 | + | 0.887349i | \(0.652545\pi\) | |||||||
\(6\) | −5.70163 | − | 3.29184i | −2.32768 | − | 1.34389i | ||||
\(7\) | −0.150209 | + | 0.0867232i | −0.0567737 | + | 0.0327783i | −0.528118 | − | 0.849171i | \(-0.677102\pi\) |
0.471344 | + | 0.881949i | \(0.343769\pi\) | |||||||
\(8\) | 0.651331 | + | 0.313664i | 0.230280 | + | 0.110897i | ||||
\(9\) | −6.66204 | + | 2.05497i | −2.22068 | + | 0.684989i | ||||
\(10\) | −4.40173 | − | 0.329864i | −1.39195 | − | 0.104312i | ||||
\(11\) | 2.27020 | + | 0.518158i | 0.684491 | + | 0.156231i | 0.550605 | − | 0.834766i | \(-0.314397\pi\) |
0.133886 | + | 0.990997i | \(0.457254\pi\) | |||||||
\(12\) | 6.89831 | − | 2.70739i | 1.99137 | − | 0.781555i | ||||
\(13\) | −0.0203619 | − | 0.271710i | −0.00564737 | − | 0.0753589i | 0.993668 | − | 0.112356i | \(-0.0358398\pi\) |
−0.999315 | + | 0.0369973i | \(0.988221\pi\) | |||||||
\(14\) | 0.0538960 | − | 0.357577i | 0.0144043 | − | 0.0955664i | ||||
\(15\) | −4.90093 | + | 4.54740i | −1.26541 | + | 1.17413i | ||||
\(16\) | 2.87074 | − | 1.38247i | 0.717685 | − | 0.345619i | ||||
\(17\) | −3.32847 | + | 2.43337i | −0.807272 | + | 0.590179i | ||||
\(18\) | 5.31036 | − | 13.5306i | 1.25166 | − | 3.18919i | ||||
\(19\) | −4.33460 | − | 1.33705i | −0.994426 | − | 0.306740i | −0.245502 | − | 0.969396i | \(-0.578953\pi\) |
−0.748924 | + | 0.662656i | \(0.769429\pi\) | |||||||
\(20\) | 3.37942 | − | 3.64215i | 0.755662 | − | 0.814410i | ||||
\(21\) | −0.341492 | − | 0.428218i | −0.0745197 | − | 0.0934448i | ||||
\(22\) | −3.79565 | + | 3.02693i | −0.809236 | + | 0.645344i | ||||
\(23\) | 0.898769 | − | 0.968643i | 0.187406 | − | 0.201976i | −0.632359 | − | 0.774675i | \(-0.717913\pi\) |
0.819765 | + | 0.572699i | \(0.194104\pi\) | |||||||
\(24\) | −0.672883 | + | 2.18143i | −0.137352 | + | 0.445283i | ||||
\(25\) | 0.189085 | − | 0.481781i | 0.0378170 | − | 0.0963561i | ||||
\(26\) | 0.469364 | + | 0.320007i | 0.0920499 | + | 0.0627586i | ||||
\(27\) | −5.44182 | − | 11.3000i | −1.04728 | − | 2.17470i | ||||
\(28\) | 0.276854 | + | 0.298377i | 0.0523204 | + | 0.0563880i | ||||
\(29\) | 0.898998 | − | 5.96446i | 0.166940 | − | 1.10757i | −0.735741 | − | 0.677263i | \(-0.763166\pi\) |
0.902681 | − | 0.430310i | \(-0.141596\pi\) | |||||||
\(30\) | −1.04165 | − | 13.8998i | −0.190178 | − | 2.53775i | ||||
\(31\) | −5.99294 | + | 2.35206i | −1.07636 | + | 0.422442i | −0.836275 | − | 0.548310i | \(-0.815272\pi\) |
−0.240088 | + | 0.970751i | \(0.577176\pi\) | |||||||
\(32\) | −1.79994 | + | 7.88606i | −0.318188 | + | 1.39407i | ||||
\(33\) | −0.549507 | + | 7.33266i | −0.0956569 | + | 1.27645i | ||||
\(34\) | 0.360230 | − | 8.58865i | 0.0617789 | − | 1.47294i | ||||
\(35\) | −0.330851 | − | 0.159329i | −0.0559240 | − | 0.0269316i | ||||
\(36\) | 8.18048 | + | 14.1690i | 1.36341 | + | 2.36150i | ||||
\(37\) | −2.20430 | − | 1.27265i | −0.362385 | − | 0.209223i | 0.307742 | − | 0.951470i | \(-0.400427\pi\) |
−0.670126 | + | 0.742247i | \(0.733760\pi\) | |||||||
\(38\) | 7.81400 | − | 5.32749i | 1.26760 | − | 0.864234i | ||||
\(39\) | 0.838844 | − | 0.191461i | 0.134323 | − | 0.0306582i | ||||
\(40\) | 0.228117 | + | 1.51346i | 0.0360685 | + | 0.239299i | ||||
\(41\) | 5.66110 | + | 4.51457i | 0.884115 | + | 0.705058i | 0.956317 | − | 0.292332i | \(-0.0944313\pi\) |
−0.0722022 | + | 0.997390i | \(0.523003\pi\) | |||||||
\(42\) | 1.14191 | 0.176201 | ||||||||
\(43\) | −0.844441 | + | 6.50284i | −0.128776 | + | 0.991674i | ||||
\(44\) | − | 5.46459i | − | 0.823817i | ||||||
\(45\) | −11.5402 | − | 9.20301i | −1.72031 | − | 1.37190i | ||||
\(46\) | 0.410601 | + | 2.72416i | 0.0605399 | + | 0.401656i | ||||
\(47\) | 1.10569 | + | 4.84433i | 0.161281 | + | 0.706618i | 0.989297 | + | 0.145914i | \(0.0466123\pi\) |
−0.828016 | + | 0.560704i | \(0.810531\pi\) | |||||||
\(48\) | 5.66794 | + | 8.31334i | 0.818097 | + | 1.19993i | ||||
\(49\) | −3.48496 | + | 6.03612i | −0.497851 | + | 0.862304i | ||||
\(50\) | 0.539524 | + | 0.934483i | 0.0763002 | + | 0.132156i | ||||
\(51\) | −9.16483 | − | 9.24802i | −1.28333 | − | 1.29498i | ||||
\(52\) | −0.611015 | + | 0.188473i | −0.0847326 | + | 0.0261365i | ||||
\(53\) | −0.308270 | + | 4.11357i | −0.0423441 | + | 0.565043i | 0.935174 | + | 0.354190i | \(0.115243\pi\) |
−0.977518 | + | 0.210853i | \(0.932376\pi\) | |||||||
\(54\) | 25.4932 | + | 5.81867i | 3.46919 | + | 0.791820i | ||||
\(55\) | 1.80114 | + | 4.58923i | 0.242866 | + | 0.618811i | ||||
\(56\) | −0.125038 | + | 0.00937028i | −0.0167089 | + | 0.00125216i | ||||
\(57\) | 2.13492 | − | 14.1643i | 0.282777 | − | 1.87610i | ||||
\(58\) | 8.55363 | + | 9.21862i | 1.12315 | + | 1.21046i | ||||
\(59\) | −0.413358 | + | 0.199063i | −0.0538147 | + | 0.0259158i | −0.460598 | − | 0.887609i | \(-0.652365\pi\) |
0.406783 | + | 0.913525i | \(0.366651\pi\) | |||||||
\(60\) | 12.9633 | + | 8.83822i | 1.67355 | + | 1.14101i | ||||
\(61\) | −5.98253 | − | 2.34797i | −0.765984 | − | 0.300627i | −0.0500057 | − | 0.998749i | \(-0.515924\pi\) |
−0.715979 | + | 0.698122i | \(0.754019\pi\) | |||||||
\(62\) | 3.95633 | − | 12.8261i | 0.502454 | − | 1.62892i | ||||
\(63\) | 0.822484 | − | 0.886427i | 0.103623 | − | 0.111679i | ||||
\(64\) | −6.54153 | − | 8.20282i | −0.817692 | − | 1.02535i | ||||
\(65\) | 0.451017 | − | 0.359674i | 0.0559418 | − | 0.0446121i | ||||
\(66\) | −11.2381 | − | 10.4275i | −1.38332 | − | 1.28353i | ||||
\(67\) | 8.20173 | + | 2.52990i | 1.00200 | + | 0.309076i | 0.751996 | − | 0.659168i | \(-0.229091\pi\) |
0.250005 | + | 0.968244i | \(0.419568\pi\) | |||||||
\(68\) | 7.30545 | + | 6.34452i | 0.885916 | + | 0.769386i | ||||
\(69\) | 3.44763 | + | 2.35055i | 0.415046 | + | 0.282973i | ||||
\(70\) | 0.689786 | − | 0.332183i | 0.0824452 | − | 0.0397035i | ||||
\(71\) | 6.52157 | + | 7.02858i | 0.773968 | + | 0.834139i | 0.989826 | − | 0.142286i | \(-0.0454453\pi\) |
−0.215858 | + | 0.976425i | \(0.569255\pi\) | |||||||
\(72\) | −4.98376 | − | 0.751181i | −0.587341 | − | 0.0885275i | ||||
\(73\) | 3.72772 | − | 0.279354i | 0.436296 | − | 0.0326959i | 0.145228 | − | 0.989398i | \(-0.453608\pi\) |
0.291068 | + | 0.956702i | \(0.405989\pi\) | |||||||
\(74\) | 4.93984 | − | 1.93874i | 0.574245 | − | 0.225374i | ||||
\(75\) | 1.59337 | + | 0.363677i | 0.183987 | + | 0.0419938i | ||||
\(76\) | −0.795512 | + | 10.6154i | −0.0912515 | + | 1.21767i | ||||
\(77\) | −0.385941 | + | 0.119047i | −0.0439820 | + | 0.0135667i | ||||
\(78\) | −0.778330 | + | 1.61622i | −0.0881286 | + | 0.183001i | ||||
\(79\) | 0.471028 | − | 0.271948i | 0.0529948 | − | 0.0305966i | −0.473269 | − | 0.880918i | \(-0.656926\pi\) |
0.526263 | + | 0.850322i | \(0.323593\pi\) | |||||||
\(80\) | 5.84214 | + | 3.37296i | 0.653171 | + | 0.377108i | ||||
\(81\) | 15.4426 | − | 10.5286i | 1.71585 | − | 1.16985i | ||||
\(82\) | −14.7178 | + | 3.35923i | −1.62531 | + | 0.370965i | ||||
\(83\) | 15.2785 | − | 2.30286i | 1.67703 | − | 0.252771i | 0.759519 | − | 0.650485i | \(-0.225434\pi\) |
0.917509 | + | 0.397714i | \(0.130196\pi\) | |||||||
\(84\) | −0.801395 | + | 1.00492i | −0.0874394 | + | 0.109645i | ||||
\(85\) | −8.22638 | − | 2.92032i | −0.892276 | − | 0.316753i | ||||
\(86\) | −9.50212 | − | 9.82953i | −1.02464 | − | 1.05995i | ||||
\(87\) | 19.0474 | 2.04209 | ||||||||
\(88\) | 1.31612 | + | 1.04957i | 0.140299 | + | 0.111885i | ||||
\(89\) | −10.8397 | + | 1.63382i | −1.14901 | + | 0.173185i | −0.695810 | − | 0.718226i | \(-0.744954\pi\) |
−0.453196 | + | 0.891411i | \(0.649716\pi\) | |||||||
\(90\) | 30.0023 | − | 6.84784i | 3.16252 | − | 0.721826i | ||||
\(91\) | 0.0266221 | + | 0.0390475i | 0.00279076 | + | 0.00409329i | ||||
\(92\) | −2.68550 | − | 1.55047i | −0.279983 | − | 0.161648i | ||||
\(93\) | −10.1649 | − | 17.6062i | −1.05406 | − | 1.82568i | ||||
\(94\) | −9.33368 | − | 4.49486i | −0.962696 | − | 0.463610i | ||||
\(95\) | −2.83077 | − | 9.17713i | −0.290431 | − | 0.941553i | ||||
\(96\) | −25.4717 | − | 1.90884i | −2.59969 | − | 0.194820i | ||||
\(97\) | 9.48464 | + | 2.16481i | 0.963019 | + | 0.219803i | 0.674997 | − | 0.737821i | \(-0.264145\pi\) |
0.288022 | + | 0.957624i | \(0.407002\pi\) | |||||||
\(98\) | −5.30894 | − | 13.5270i | −0.536284 | − | 1.36643i | ||||
\(99\) | −16.1889 | + | 1.21319i | −1.62705 | + | 0.121931i | ||||
\(100\) | −1.20101 | − | 0.181023i | −0.120101 | − | 0.0181023i | ||||
\(101\) | −1.79102 | + | 1.66182i | −0.178213 | + | 0.165358i | −0.764236 | − | 0.644937i | \(-0.776883\pi\) |
0.586022 | + | 0.810295i | \(0.300693\pi\) | |||||||
\(102\) | 26.9880 | − | 2.91739i | 2.67221 | − | 0.288865i | ||||
\(103\) | 3.21367 | + | 2.19104i | 0.316652 | + | 0.215890i | 0.711207 | − | 0.702983i | \(-0.248149\pi\) |
−0.394555 | + | 0.918872i | \(0.629101\pi\) | |||||||
\(104\) | 0.0719635 | − | 0.183360i | 0.00705661 | − | 0.0179799i | ||||
\(105\) | 0.341799 | − | 1.10808i | 0.0333561 | − | 0.108138i | ||||
\(106\) | −6.30452 | − | 5.84974i | −0.612349 | − | 0.568177i | ||||
\(107\) | 11.3716 | − | 9.06852i | 1.09933 | − | 0.876687i | 0.106276 | − | 0.994337i | \(-0.466107\pi\) |
0.993055 | + | 0.117650i | \(0.0375360\pi\) | |||||||
\(108\) | −23.0117 | + | 18.3513i | −2.21431 | + | 1.76585i | ||||
\(109\) | −12.0106 | + | 12.9444i | −1.15041 | + | 1.23985i | −0.183975 | + | 0.982931i | \(0.558896\pi\) |
−0.966434 | + | 0.256915i | \(0.917294\pi\) | |||||||
\(110\) | −9.82188 | − | 3.02965i | −0.936479 | − | 0.288866i | ||||
\(111\) | 2.93646 | − | 7.48199i | 0.278717 | − | 0.710159i | ||||
\(112\) | −0.311318 | + | 0.456620i | −0.0294168 | + | 0.0431465i | ||||
\(113\) | 8.64922 | + | 17.9603i | 0.813650 | + | 1.68956i | 0.720018 | + | 0.693955i | \(0.244133\pi\) |
0.0936319 | + | 0.995607i | \(0.470152\pi\) | |||||||
\(114\) | 20.3130 | + | 21.8922i | 1.90248 | + | 2.05039i | ||||
\(115\) | 2.76636 | + | 0.416961i | 0.257964 | + | 0.0388818i | ||||
\(116\) | −14.1156 | + | 1.05782i | −1.31060 | + | 0.0982158i | ||||
\(117\) | 0.694007 | + | 1.76830i | 0.0641610 | + | 0.163480i | ||||
\(118\) | 0.212848 | − | 0.932548i | 0.0195943 | − | 0.0858480i | ||||
\(119\) | 0.288936 | − | 0.654170i | 0.0264868 | − | 0.0599676i | ||||
\(120\) | −4.61848 | + | 1.42461i | −0.421608 | + | 0.130049i | ||||
\(121\) | −5.02534 | − | 2.42008i | −0.456849 | − | 0.220007i | ||||
\(122\) | 11.6040 | − | 6.69956i | 1.05057 | − | 0.606549i | ||||
\(123\) | −11.4326 | + | 19.8018i | −1.03084 | + | 1.78547i | ||||
\(124\) | 8.51079 | + | 12.4830i | 0.764292 | + | 1.12101i | ||||
\(125\) | 11.3888 | − | 2.59941i | 1.01864 | − | 0.232498i | ||||
\(126\) | 0.375751 | + | 2.49294i | 0.0334745 | + | 0.222089i | ||||
\(127\) | −4.77008 | + | 5.98149i | −0.423276 | + | 0.530771i | −0.947050 | − | 0.321086i | \(-0.895952\pi\) |
0.523774 | + | 0.851857i | \(0.324524\pi\) | |||||||
\(128\) | 5.69646 | 0.503501 | ||||||||
\(129\) | −20.7028 | + | 0.423742i | −1.82278 | + | 0.0373084i | ||||
\(130\) | 1.20271i | 0.105485i | ||||||||
\(131\) | 3.34456 | + | 2.66719i | 0.292215 | + | 0.233034i | 0.758613 | − | 0.651541i | \(-0.225877\pi\) |
−0.466398 | + | 0.884575i | \(0.654449\pi\) | |||||||
\(132\) | 17.0634 | − | 2.57189i | 1.48518 | − | 0.223855i | ||||
\(133\) | 0.767049 | − | 0.175074i | 0.0665116 | − | 0.0151808i | ||||
\(134\) | −14.7853 | + | 10.0804i | −1.27725 | + | 0.870816i | ||||
\(135\) | 13.2769 | − | 22.9963i | 1.14270 | − | 1.97921i | ||||
\(136\) | −2.93120 | + | 0.540906i | −0.251348 | + | 0.0463823i | ||||
\(137\) | −8.76625 | − | 4.22161i | −0.748952 | − | 0.360676i | 0.0201548 | − | 0.999797i | \(-0.493584\pi\) |
−0.769106 | + | 0.639121i | \(0.779298\pi\) | |||||||
\(138\) | −8.31306 | + | 2.56424i | −0.707655 | + | 0.218283i | ||||
\(139\) | −9.76902 | − | 0.732087i | −0.828598 | − | 0.0620948i | −0.346324 | − | 0.938115i | \(-0.612570\pi\) |
−0.482274 | + | 0.876020i | \(0.660189\pi\) | |||||||
\(140\) | −0.191761 | + | 0.840158i | −0.0162067 | + | 0.0710063i | ||||
\(141\) | −14.6062 | + | 5.73252i | −1.23007 | + | 0.482766i | ||||
\(142\) | −19.9342 | + | 1.49386i | −1.67284 | + | 0.125362i | ||||
\(143\) | 0.0945634 | − | 0.627387i | 0.00790779 | − | 0.0524648i | ||||
\(144\) | −16.2840 | + | 15.1094i | −1.35700 | + | 1.25911i | ||||
\(145\) | 11.5058 | − | 5.54090i | 0.955504 | − | 0.460146i | ||||
\(146\) | −4.39032 | + | 6.43942i | −0.363346 | + | 0.532930i | ||||
\(147\) | −20.4882 | − | 8.04104i | −1.68984 | − | 0.663214i | ||||
\(148\) | −1.76063 | + | 5.70781i | −0.144723 | + | 0.469179i | ||||
\(149\) | −4.13951 | − | 3.84090i | −0.339122 | − | 0.314659i | 0.492166 | − | 0.870501i | \(-0.336205\pi\) |
−0.831288 | + | 0.555842i | \(0.812396\pi\) | |||||||
\(150\) | −2.66404 | + | 2.12450i | −0.217518 | + | 0.173464i | ||||
\(151\) | 6.05440 | + | 7.59198i | 0.492700 | + | 0.617827i | 0.964565 | − | 0.263844i | \(-0.0849904\pi\) |
−0.471865 | + | 0.881671i | \(0.656419\pi\) | |||||||
\(152\) | −2.40388 | − | 2.23047i | −0.194980 | − | 0.180915i | ||||
\(153\) | 17.1739 | − | 23.0511i | 1.38843 | − | 1.86357i | ||||
\(154\) | 0.307636 | − | 0.783844i | 0.0247900 | − | 0.0631639i | ||||
\(155\) | −11.2619 | − | 7.67824i | −0.904578 | − | 0.616731i | ||||
\(156\) | −0.876088 | − | 1.81922i | −0.0701432 | − | 0.145654i | ||||
\(157\) | −13.9038 | + | 12.9008i | −1.10964 | + | 1.02960i | −0.110278 | + | 0.993901i | \(0.535174\pi\) |
−0.999363 | + | 0.0356950i | \(0.988636\pi\) | |||||||
\(158\) | −0.169008 | + | 1.12130i | −0.0134456 | + | 0.0892055i | ||||
\(159\) | −12.9899 | + | 0.973458i | −1.03017 | + | 0.0772002i | ||||
\(160\) | −15.9417 | + | 6.25668i | −1.26031 | + | 0.494634i | ||||
\(161\) | −0.0509994 | + | 0.223443i | −0.00401931 | + | 0.0176098i | ||||
\(162\) | −2.91202 | + | 38.8582i | −0.228790 | + | 3.05298i | ||||
\(163\) | −0.872280 | − | 2.82786i | −0.0683222 | − | 0.221495i | 0.914972 | − | 0.403517i | \(-0.132212\pi\) |
−0.983295 | + | 0.182021i | \(0.941736\pi\) | |||||||
\(164\) | 7.37270 | − | 15.3096i | 0.575711 | − | 1.19548i | ||||
\(165\) | −13.4823 | + | 7.78404i | −1.04960 | + | 0.605987i | ||||
\(166\) | −16.1068 | + | 27.8978i | −1.25013 | + | 2.16529i | ||||
\(167\) | −11.5826 | − | 16.9886i | −0.896292 | − | 1.31462i | −0.948760 | − | 0.315997i | \(-0.897661\pi\) |
0.0524679 | − | 0.998623i | \(-0.483291\pi\) | |||||||
\(168\) | −0.0881077 | − | 0.386025i | −0.00679766 | − | 0.0297825i | ||||
\(169\) | 12.7814 | − | 1.92648i | 0.983184 | − | 0.148191i | ||||
\(170\) | 15.4537 | − | 9.61309i | 1.18525 | − | 0.737291i | ||||
\(171\) | 31.6249 | 2.41841 | ||||||||
\(172\) | 15.3189 | − | 1.46378i | 1.16805 | − | 0.111612i | ||||
\(173\) | − | 3.00284i | − | 0.228302i | −0.993463 | − | 0.114151i | \(-0.963585\pi\) | ||
0.993463 | − | 0.114151i | \(-0.0364147\pi\) | |||||||
\(174\) | −24.7598 | + | 31.0478i | −1.87703 | + | 2.35373i | ||||
\(175\) | 0.0133793 | + | 0.0887658i | 0.00101138 | + | 0.00671007i | ||||
\(176\) | 7.23349 | − | 1.65100i | 0.545245 | − | 0.124449i | ||||
\(177\) | −0.816128 | − | 1.19704i | −0.0613439 | − | 0.0899750i | ||||
\(178\) | 11.4274 | − | 19.7928i | 0.856520 | − | 1.48354i | ||||
\(179\) | −8.24360 | − | 14.2783i | −0.616155 | − | 1.06721i | −0.990181 | − | 0.139794i | \(-0.955356\pi\) |
0.374025 | − | 0.927419i | \(-0.377977\pi\) | |||||||
\(180\) | −15.0293 | + | 31.2087i | −1.12022 | + | 2.32616i | ||||
\(181\) | −0.215461 | − | 0.698508i | −0.0160151 | − | 0.0519197i | 0.947213 | − | 0.320606i | \(-0.103887\pi\) |
−0.963228 | + | 0.268687i | \(0.913410\pi\) | |||||||
\(182\) | −0.0982548 | − | 0.00736318i | −0.00728313 | − | 0.000545795i | ||||
\(183\) | 4.51597 | − | 19.7858i | 0.333830 | − | 1.46261i | ||||
\(184\) | 0.889224 | − | 0.348995i | 0.0655545 | − | 0.0257282i | ||||
\(185\) | −0.402710 | − | 5.37380i | −0.0296079 | − | 0.395089i | ||||
\(186\) | 41.9121 | + | 6.31723i | 3.07314 | + | 0.463202i | ||||
\(187\) | −8.81716 | + | 3.79956i | −0.644774 | + | 0.277851i | ||||
\(188\) | 10.5060 | − | 5.05942i | 0.766228 | − | 0.368996i | ||||
\(189\) | 1.79739 | + | 1.22544i | 0.130741 | + | 0.0891374i | ||||
\(190\) | 18.6387 | + | 7.31515i | 1.35219 | + | 0.530697i | ||||
\(191\) | −13.2032 | − | 4.07264i | −0.955347 | − | 0.294686i | −0.222388 | − | 0.974958i | \(-0.571385\pi\) |
−0.732959 | + | 0.680273i | \(0.761861\pi\) | |||||||
\(192\) | 22.5349 | − | 24.2868i | 1.62632 | − | 1.75275i | ||||
\(193\) | 1.93425 | − | 1.54251i | 0.139230 | − | 0.111032i | −0.551398 | − | 0.834242i | \(-0.685905\pi\) |
0.690628 | + | 0.723210i | \(0.257334\pi\) | |||||||
\(194\) | −15.8578 | + | 12.6462i | −1.13852 | + | 0.907943i | ||||
\(195\) | 1.33537 | + | 1.23904i | 0.0956276 | + | 0.0887295i | ||||
\(196\) | 15.6299 | + | 4.82120i | 1.11642 | + | 0.344371i | ||||
\(197\) | 16.0332 | + | 6.29255i | 1.14232 | + | 0.448326i | 0.859645 | − | 0.510891i | \(-0.170685\pi\) |
0.282670 | + | 0.959217i | \(0.408780\pi\) | |||||||
\(198\) | 19.0665 | − | 27.9655i | 1.35500 | − | 1.98742i | ||||
\(199\) | 3.66246 | + | 7.60517i | 0.259625 | + | 0.539117i | 0.989512 | − | 0.144451i | \(-0.0461417\pi\) |
−0.729887 | + | 0.683568i | \(0.760427\pi\) | |||||||
\(200\) | 0.274274 | − | 0.254489i | 0.0193941 | − | 0.0179951i | ||||
\(201\) | −4.03959 | + | 26.8009i | −0.284931 | + | 1.89039i | ||||
\(202\) | −0.380665 | − | 5.07962i | −0.0267835 | − | 0.357401i | ||||
\(203\) | 0.382220 | + | 0.973880i | 0.0268266 | + | 0.0683529i | ||||
\(204\) | −16.3727 | + | 25.7976i | −1.14632 | + | 1.80619i | ||||
\(205\) | −1.14562 | + | 15.2872i | −0.0800135 | + | 1.06771i | ||||
\(206\) | −7.74892 | + | 2.39023i | −0.539893 | + | 0.166535i | ||||
\(207\) | −3.99710 | + | 8.30007i | −0.277818 | + | 0.576895i | ||||
\(208\) | −0.434086 | − | 0.751860i | −0.0300985 | − | 0.0521321i | ||||
\(209\) | −9.14761 | − | 5.28138i | −0.632753 | − | 0.365320i | ||||
\(210\) | 1.36190 | + | 1.99754i | 0.0939802 | + | 0.137844i | ||||
\(211\) | 21.0160 | − | 4.79676i | 1.44680 | − | 0.330222i | 0.574222 | − | 0.818700i | \(-0.305305\pi\) |
0.872576 | + | 0.488477i | \(0.162448\pi\) | |||||||
\(212\) | 9.57245 | − | 1.44282i | 0.657439 | − | 0.0990930i | ||||
\(213\) | −18.8777 | + | 23.6718i | −1.29348 | + | 1.62197i | ||||
\(214\) | 30.3242i | 2.07292i | ||||||||
\(215\) | −12.3825 | + | 6.27843i | −0.844480 | + | 0.428185i | ||||
\(216\) | − | 9.06697i | − | 0.616929i | ||||||
\(217\) | 0.696215 | − | 0.873027i | 0.0472622 | − | 0.0592649i | ||||
\(218\) | −5.48703 | − | 36.4041i | −0.371629 | − | 2.46560i | ||||
\(219\) | 2.62673 | + | 11.5085i | 0.177498 | + | 0.777671i | ||||
\(220\) | 9.55917 | − | 6.51733i | 0.644479 | − | 0.439398i | ||||
\(221\) | 0.728946 | + | 0.854832i | 0.0490342 | + | 0.0575022i | ||||
\(222\) | 8.37873 | + | 14.5124i | 0.562344 | + | 0.974008i | ||||
\(223\) | −13.4980 | − | 6.50031i | −0.903895 | − | 0.435293i | −0.0766007 | − | 0.997062i | \(-0.524407\pi\) |
−0.827294 | + | 0.561769i | \(0.810121\pi\) | |||||||
\(224\) | −0.413537 | − | 1.34065i | −0.0276306 | − | 0.0895762i | ||||
\(225\) | −0.269648 | + | 3.59820i | −0.0179765 | + | 0.239880i | ||||
\(226\) | −40.5189 | − | 9.24818i | −2.69528 | − | 0.615180i | ||||
\(227\) | −8.59698 | + | 3.37407i | −0.570602 | + | 0.223945i | −0.633060 | − | 0.774103i | \(-0.718201\pi\) |
0.0624581 | + | 0.998048i | \(0.480106\pi\) | |||||||
\(228\) | −33.5214 | + | 2.51208i | −2.22001 | + | 0.166366i | ||||
\(229\) | −12.2577 | − | 1.84754i | −0.810008 | − | 0.122089i | −0.269037 | − | 0.963130i | \(-0.586705\pi\) |
−0.540972 | + | 0.841041i | \(0.681943\pi\) | |||||||
\(230\) | −4.27566 | + | 3.96723i | −0.281929 | + | 0.261591i | ||||
\(231\) | −0.553371 | − | 1.14909i | −0.0364091 | − | 0.0756043i | ||||
\(232\) | 2.45638 | − | 3.60285i | 0.161269 | − | 0.236539i | ||||
\(233\) | 6.69829 | + | 2.62888i | 0.438819 | + | 0.172224i | 0.574457 | − | 0.818535i | \(-0.305213\pi\) |
−0.135638 | + | 0.990758i | \(0.543308\pi\) | |||||||
\(234\) | −3.78453 | − | 1.16737i | −0.247402 | − | 0.0763135i | ||||
\(235\) | −7.15546 | + | 7.71176i | −0.466771 | + | 0.503059i | ||||
\(236\) | 0.671293 | + | 0.841775i | 0.0436974 | + | 0.0547949i | ||||
\(237\) | 1.07086 | + | 1.34281i | 0.0695597 | + | 0.0872251i | ||||
\(238\) | 0.690725 | + | 1.32133i | 0.0447731 | + | 0.0856493i | ||||
\(239\) | −1.65587 | − | 0.510767i | −0.107109 | − | 0.0330388i | 0.240737 | − | 0.970590i | \(-0.422611\pi\) |
−0.347846 | + | 0.937552i | \(0.613087\pi\) | |||||||
\(240\) | −7.78262 | + | 19.8298i | −0.502366 | + | 1.28001i | ||||
\(241\) | 2.17897 | − | 3.19596i | 0.140360 | − | 0.205870i | −0.749622 | − | 0.661866i | \(-0.769765\pi\) |
0.889982 | + | 0.455996i | \(0.150717\pi\) | |||||||
\(242\) | 10.4773 | − | 5.04558i | 0.673504 | − | 0.324342i | ||||
\(243\) | 14.5517 | + | 15.6830i | 0.933491 | + | 1.00606i | ||||
\(244\) | −2.24786 | + | 14.9136i | −0.143904 | + | 0.954744i | ||||
\(245\) | −14.7153 | + | 1.10276i | −0.940125 | + | 0.0704527i | ||||
\(246\) | −17.4162 | − | 44.3758i | −1.11042 | − | 2.82930i | ||||
\(247\) | −0.275029 | + | 1.20498i | −0.0174997 | + | 0.0766712i | ||||
\(248\) | −4.64114 | − | 0.347805i | −0.294713 | − | 0.0220857i | ||||
\(249\) | 14.3815 | + | 46.6238i | 0.911392 | + | 2.95466i | ||||
\(250\) | −10.5672 | + | 21.9430i | −0.668328 | + | 1.38780i | ||||
\(251\) | 8.75269 | + | 15.1601i | 0.552465 | + | 0.956897i | 0.998096 | + | 0.0616803i | \(0.0196459\pi\) |
−0.445631 | + | 0.895217i | \(0.647021\pi\) | |||||||
\(252\) | −2.45756 | − | 1.41888i | −0.154812 | − | 0.0893808i | ||||
\(253\) | 2.54229 | − | 1.73331i | 0.159833 | − | 0.108972i | ||||
\(254\) | −3.54935 | − | 15.5507i | −0.222706 | − | 0.975739i | ||||
\(255\) | 5.24709 | − | 27.0616i | 0.328586 | − | 1.69467i | ||||
\(256\) | 5.67821 | − | 7.12025i | 0.354888 | − | 0.445016i | ||||
\(257\) | 18.9993 | 1.18514 | 0.592572 | − | 0.805518i | \(-0.298113\pi\) | ||||
0.592572 | + | 0.805518i | \(0.298113\pi\) | |||||||
\(258\) | 26.2210 | − | 34.2970i | 1.63245 | − | 2.13524i | ||||
\(259\) | 0.441474 | 0.0274319 | ||||||||
\(260\) | −1.05842 | − | 0.844063i | −0.0656405 | − | 0.0523466i | ||||
\(261\) | 6.26761 | + | 41.5829i | 0.387955 | + | 2.57391i | ||||
\(262\) | −8.69521 | + | 1.98462i | −0.537192 | + | 0.122610i | ||||
\(263\) | 15.8985 | − | 10.8394i | 0.980341 | − | 0.668385i | 0.0366900 | − | 0.999327i | \(-0.488319\pi\) |
0.943651 | + | 0.330941i | \(0.107366\pi\) | |||||||
\(264\) | −2.65790 | + | 4.60362i | −0.163583 | + | 0.283333i | ||||
\(265\) | −7.56351 | + | 4.36680i | −0.464623 | + | 0.268250i | ||||
\(266\) | −0.711715 | + | 1.47789i | −0.0436381 | + | 0.0906154i | ||||
\(267\) | −10.2034 | − | 33.0785i | −0.624435 | − | 2.02437i | ||||
\(268\) | 1.50523 | − | 20.0859i | 0.0919466 | − | 1.22694i | ||||
\(269\) | −6.80453 | − | 1.55309i | −0.414879 | − | 0.0946935i | 0.00998578 | − | 0.999950i | \(-0.496821\pi\) |
−0.424865 | + | 0.905257i | \(0.639679\pi\) | |||||||
\(270\) | 20.2259 | + | 51.5348i | 1.23091 | + | 3.13631i | ||||
\(271\) | −1.84165 | − | 24.5751i | −0.111872 | − | 1.49283i | −0.717206 | − | 0.696862i | \(-0.754579\pi\) |
0.605333 | − | 0.795972i | \(-0.293040\pi\) | |||||||
\(272\) | −6.19109 | + | 11.5871i | −0.375390 | + | 0.702571i | ||||
\(273\) | −0.109398 | + | 0.101506i | −0.00662106 | + | 0.00614344i | ||||
\(274\) | 18.2766 | − | 8.80156i | 1.10413 | − | 0.531722i | ||||
\(275\) | 0.678899 | − | 0.995762i | 0.0409392 | − | 0.0600467i | ||||
\(276\) | 3.57750 | − | 9.11531i | 0.215340 | − | 0.548677i | ||||
\(277\) | −4.17978 | + | 13.5505i | −0.251138 | + | 0.814171i | 0.738954 | + | 0.673756i | \(0.235320\pi\) |
−0.990093 | + | 0.140415i | \(0.955156\pi\) | |||||||
\(278\) | 13.8921 | − | 14.9721i | 0.833194 | − | 0.897970i | ||||
\(279\) | 35.0918 | − | 27.9848i | 2.10089 | − | 1.67540i | ||||
\(280\) | −0.165517 | − | 0.207552i | −0.00989156 | − | 0.0124036i | ||||
\(281\) | −13.7326 | − | 12.7420i | −0.819219 | − | 0.760124i | 0.154472 | − | 0.987997i | \(-0.450632\pi\) |
−0.973691 | + | 0.227873i | \(0.926823\pi\) | |||||||
\(282\) | 9.64253 | − | 31.2603i | 0.574204 | − | 1.86152i | ||||
\(283\) | 17.2042 | + | 6.75216i | 1.02268 | + | 0.401374i | 0.816627 | − | 0.577166i | \(-0.195841\pi\) |
0.206058 | + | 0.978540i | \(0.433937\pi\) | |||||||
\(284\) | 12.6752 | − | 18.5911i | 0.752133 | − | 1.10318i | ||||
\(285\) | 27.3237 | − | 13.1584i | 1.61851 | − | 0.779435i | ||||
\(286\) | 0.899736 | + | 0.969685i | 0.0532025 | + | 0.0573387i | ||||
\(287\) | −1.24187 | − | 0.187181i | −0.0733050 | − | 0.0110490i | ||||
\(288\) | −4.21431 | − | 56.2361i | −0.248331 | − | 3.31374i | ||||
\(289\) | 5.15742 | − | 16.1988i | 0.303378 | − | 0.952870i | ||||
\(290\) | −5.92461 | + | 25.9574i | −0.347905 | + | 1.52427i | ||||
\(291\) | −2.29578 | + | 30.6350i | −0.134581 | + | 1.79586i | ||||
\(292\) | −2.58575 | − | 8.38279i | −0.151320 | − | 0.490566i | ||||
\(293\) | 18.0119 | + | 8.67409i | 1.05227 | + | 0.506746i | 0.878352 | − | 0.478015i | \(-0.158644\pi\) |
0.173916 | + | 0.984760i | \(0.444358\pi\) | |||||||
\(294\) | 39.7399 | − | 22.9438i | 2.31768 | − | 1.33811i | ||||
\(295\) | −0.841211 | − | 0.485673i | −0.0489772 | − | 0.0282770i | ||||
\(296\) | −1.03654 | − | 1.52033i | −0.0602478 | − | 0.0883673i | ||||
\(297\) | −6.49879 | − | 28.4731i | −0.377098 | − | 1.65218i | ||||
\(298\) | 11.6417 | − | 1.75471i | 0.674388 | − | 0.101648i | ||||
\(299\) | −0.281491 | − | 0.224482i | −0.0162790 | − | 0.0129821i | ||||
\(300\) | − | 3.83540i | − | 0.221437i | ||||||
\(301\) | −0.437104 | − | 1.05002i | −0.0251943 | − | 0.0605220i | ||||
\(302\) | −20.2453 | −1.16499 | ||||||||
\(303\) | −6.03205 | − | 4.81040i | −0.346532 | − | 0.276350i | ||||
\(304\) | −14.2919 | + | 2.15416i | −0.819699 | + | 0.123550i | ||||
\(305\) | −3.02777 | − | 13.2655i | −0.173369 | − | 0.759581i | ||||
\(306\) | 15.2495 | + | 57.9582i | 0.871757 | + | 3.31325i | ||||
\(307\) | −1.30165 | + | 2.25453i | −0.0742893 | + | 0.128673i | −0.900777 | − | 0.434282i | \(-0.857002\pi\) |
0.826488 | + | 0.562955i | \(0.190335\pi\) | |||||||
\(308\) | 0.473906 | + | 0.820830i | 0.0270033 | + | 0.0467711i | ||||
\(309\) | −5.32912 | + | 11.0660i | −0.303163 | + | 0.629524i | ||||
\(310\) | 27.1552 | − | 8.37626i | 1.54231 | − | 0.475739i | ||||
\(311\) | 12.8576 | + | 0.963543i | 0.729087 | + | 0.0546375i | 0.434101 | − | 0.900864i | \(-0.357066\pi\) |
0.294986 | + | 0.955502i | \(0.404685\pi\) | |||||||
\(312\) | 0.606419 | + | 0.138411i | 0.0343317 | + | 0.00783599i | ||||
\(313\) | −19.6662 | + | 7.71841i | −1.11160 | + | 0.436270i | −0.848871 | − | 0.528600i | \(-0.822717\pi\) |
−0.262727 | + | 0.964870i | \(0.584622\pi\) | |||||||
\(314\) | −2.95512 | − | 39.4333i | −0.166767 | − | 2.22535i | ||||
\(315\) | 2.53156 | + | 0.381571i | 0.142637 | + | 0.0214991i | ||||
\(316\) | −0.868163 | − | 0.935657i | −0.0488380 | − | 0.0526348i | ||||
\(317\) | 4.67080 | + | 9.69902i | 0.262338 | + | 0.544751i | 0.989980 | − | 0.141206i | \(-0.0450980\pi\) |
−0.727642 | + | 0.685957i | \(0.759384\pi\) | |||||||
\(318\) | 15.2989 | − | 22.4393i | 0.857917 | − | 1.25833i | ||||
\(319\) | 5.13144 | − | 13.0747i | 0.287305 | − | 0.732042i | ||||
\(320\) | 6.54740 | − | 21.2262i | 0.366011 | − | 1.18658i | ||||
\(321\) | 33.6688 | + | 31.2401i | 1.87921 | + | 1.74365i | ||||
\(322\) | −0.297924 | − | 0.373585i | −0.0166027 | − | 0.0208191i | ||||
\(323\) | 17.6811 | − | 6.09737i | 0.983804 | − | 0.339267i | ||||
\(324\) | −32.1526 | − | 29.8333i | −1.78626 | − | 1.65741i | ||||
\(325\) | −0.134755 | − | 0.0415664i | −0.00747486 | − | 0.00230569i | ||||
\(326\) | 5.74338 | + | 2.25411i | 0.318096 | + | 0.124844i | ||||
\(327\) | −46.0721 | − | 31.4114i | −2.54779 | − | 1.73706i | ||||
\(328\) | 2.27118 | + | 4.71616i | 0.125405 | + | 0.260407i | ||||
\(329\) | −0.586200 | − | 0.631773i | −0.0323182 | − | 0.0348308i | ||||
\(330\) | 4.83756 | − | 32.0951i | 0.266299 | − | 1.76678i | ||||
\(331\) | 0.208960 | + | 2.78838i | 0.0114855 | + | 0.153263i | 0.999998 | + | 0.00212252i | \(0.000675618\pi\) |
−0.988512 | + | 0.151141i | \(0.951705\pi\) | |||||||
\(332\) | −13.2471 | − | 33.7531i | −0.727031 | − | 1.85244i | ||||
\(333\) | 17.3004 | + | 3.94870i | 0.948055 | + | 0.216387i | ||||
\(334\) | 42.7483 | + | 3.20354i | 2.33908 | + | 0.175290i | ||||
\(335\) | 5.35625 | + | 17.3645i | 0.292643 | + | 0.948725i | ||||
\(336\) | −1.57233 | − | 0.757197i | −0.0857779 | − | 0.0413085i | ||||
\(337\) | 8.67674 | − | 5.00952i | 0.472652 | − | 0.272886i | −0.244697 | − | 0.969600i | \(-0.578688\pi\) |
0.717349 | + | 0.696714i | \(0.245355\pi\) | |||||||
\(338\) | −13.4744 | + | 23.3383i | −0.732909 | + | 1.26943i | ||||
\(339\) | −52.0110 | + | 35.4605i | −2.82485 | + | 1.92595i | ||||
\(340\) | −2.38560 | + | 20.3462i | −0.129377 | + | 1.10343i | ||||
\(341\) | −14.8239 | + | 2.23434i | −0.802759 | + | 0.120996i | ||||
\(342\) | −41.1093 | + | 51.5495i | −2.22294 | + | 2.78748i | ||||
\(343\) | − | 2.42303i | − | 0.130831i | ||||||
\(344\) | −2.58972 | + | 3.97063i | −0.139628 | + | 0.214082i | ||||
\(345\) | 8.83430i | 0.475623i | ||||||||
\(346\) | 4.89472 | + | 3.90341i | 0.263142 | + | 0.209848i | ||||
\(347\) | −5.19419 | − | 34.4612i | −0.278839 | − | 1.84998i | −0.488968 | − | 0.872302i | \(-0.662627\pi\) |
0.210129 | − | 0.977674i | \(-0.432612\pi\) | |||||||
\(348\) | −9.94654 | − | 43.5786i | −0.533191 | − | 2.33606i | ||||
\(349\) | 3.33572 | − | 2.27426i | 0.178557 | − | 0.121738i | −0.470743 | − | 0.882270i | \(-0.656014\pi\) |
0.649300 | + | 0.760532i | \(0.275062\pi\) | |||||||
\(350\) | −0.162083 | − | 0.0935785i | −0.00866368 | − | 0.00500198i | ||||
\(351\) | −2.95954 | + | 1.70869i | −0.157968 | + | 0.0912031i | ||||
\(352\) | −8.17246 | + | 16.9703i | −0.435593 | + | 0.904519i | ||||
\(353\) | −12.5121 | + | 3.85946i | −0.665951 | + | 0.205419i | −0.609257 | − | 0.792973i | \(-0.708532\pi\) |
−0.0566939 | + | 0.998392i | \(0.518056\pi\) | |||||||
\(354\) | 3.01210 | + | 0.225725i | 0.160091 | + | 0.0119972i | ||||
\(355\) | −4.51711 | + | 19.7908i | −0.239744 | + | 1.05038i | ||||
\(356\) | 9.39852 | + | 23.9470i | 0.498121 | + | 1.26919i | ||||
\(357\) | 2.17866 | + | 0.594333i | 0.115307 | + | 0.0314554i | ||||
\(358\) | 33.9900 | + | 5.12316i | 1.79643 | + | 0.270768i | ||||
\(359\) | 27.0932 | − | 25.1388i | 1.42992 | − | 1.32677i | 0.564786 | − | 0.825237i | \(-0.308959\pi\) |
0.865136 | − | 0.501537i | \(-0.167232\pi\) | |||||||
\(360\) | −4.62984 | − | 9.61395i | −0.244014 | − | 0.506700i | ||||
\(361\) | 1.30256 | + | 0.888067i | 0.0685556 | + | 0.0467404i | ||||
\(362\) | 1.41867 | + | 0.556785i | 0.0745634 | + | 0.0292640i | ||||
\(363\) | 5.19163 | − | 16.8308i | 0.272490 | − | 0.883390i | ||||
\(364\) | 0.0754350 | − | 0.0812996i | 0.00395387 | − | 0.00426125i | ||||
\(365\) | 4.93453 | + | 6.18771i | 0.258285 | + | 0.323879i | ||||
\(366\) | 26.3810 | + | 33.0808i | 1.37896 | + | 1.72916i | ||||
\(367\) | 17.5287 | − | 18.8914i | 0.914989 | − | 0.986124i | −0.0849582 | − | 0.996385i | \(-0.527076\pi\) |
0.999947 | + | 0.0102608i | \(0.00326616\pi\) | |||||||
\(368\) | 1.24101 | − | 4.02324i | 0.0646919 | − | 0.209726i | ||||
\(369\) | −46.9917 | − | 18.4429i | −2.44629 | − | 0.960099i | ||||
\(370\) | 9.28293 | + | 6.32899i | 0.482597 | + | 0.329029i | ||||
\(371\) | −0.310437 | − | 0.644630i | −0.0161171 | − | 0.0334675i | ||||
\(372\) | −34.9732 | + | 32.4504i | −1.81328 | + | 1.68248i | ||||
\(373\) | −33.9641 | − | 5.11926i | −1.75859 | − | 0.265065i | −0.811115 | − | 0.584887i | \(-0.801139\pi\) |
−0.947478 | + | 0.319822i | \(0.896377\pi\) | |||||||
\(374\) | 5.26807 | − | 19.3113i | 0.272405 | − | 0.998563i | ||||
\(375\) | 13.4769 | + | 34.3385i | 0.695942 | + | 1.77323i | ||||
\(376\) | −0.799326 | + | 3.50207i | −0.0412221 | + | 0.180606i | ||||
\(377\) | −1.63891 | − | 0.122819i | −0.0844082 | − | 0.00632552i | ||||
\(378\) | −4.33393 | + | 1.33684i | −0.222913 | + | 0.0687596i | ||||
\(379\) | 1.80831 | − | 3.75499i | 0.0928865 | − | 0.192881i | −0.849349 | − | 0.527831i | \(-0.823005\pi\) |
0.942236 | + | 0.334951i | \(0.108720\pi\) | |||||||
\(380\) | −19.5182 | + | 11.2688i | −1.00126 | + | 0.578079i | ||||
\(381\) | −20.9225 | − | 12.0796i | −1.07189 | − | 0.618856i | ||||
\(382\) | 23.8014 | − | 16.2275i | 1.21778 | − | 0.830271i | ||||
\(383\) | 7.95883 | + | 34.8699i | 0.406677 | + | 1.78177i | 0.599330 | + | 0.800502i | \(0.295434\pi\) |
−0.192653 | + | 0.981267i | \(0.561709\pi\) | |||||||
\(384\) | 2.68102 | + | 17.7874i | 0.136815 | + | 0.907711i | ||||
\(385\) | −0.668540 | − | 0.533143i | −0.0340719 | − | 0.0271715i | ||||
\(386\) | 5.15800i | 0.262535i | ||||||||
\(387\) | −7.73742 | − | 45.0574i | −0.393315 | − | 2.29040i | ||||
\(388\) | − | 22.8304i | − | 1.15904i | ||||||
\(389\) | −22.0473 | + | 27.6464i | −1.11784 | + | 1.40173i | −0.212438 | + | 0.977175i | \(0.568140\pi\) |
−0.905403 | + | 0.424553i | \(0.860431\pi\) | |||||||
\(390\) | −3.75552 | + | 0.566053i | −0.190168 | + | 0.0286632i | ||||
\(391\) | −0.634459 | + | 5.41113i | −0.0320860 | + | 0.273653i | ||||
\(392\) | −4.16318 | + | 2.83841i | −0.210272 | + | 0.143361i | ||||
\(393\) | −6.75432 | + | 11.6988i | −0.340710 | + | 0.590128i | ||||
\(394\) | −31.0986 | + | 17.9548i | −1.56673 | + | 0.904549i | ||||
\(395\) | 1.03749 | + | 0.499628i | 0.0522017 | + | 0.0251390i | ||||
\(396\) | 11.2295 | + | 36.4053i | 0.564305 | + | 1.82943i | ||||
\(397\) | 24.0083 | + | 1.79917i | 1.20494 | + | 0.0902979i | 0.662021 | − | 0.749486i | \(-0.269699\pi\) |
0.542921 | + | 0.839784i | \(0.317318\pi\) | |||||||
\(398\) | −17.1575 | − | 3.91609i | −0.860028 | − | 0.196296i | ||||
\(399\) | 0.907686 | + | 2.31275i | 0.0454411 | + | 0.115782i | ||||
\(400\) | −0.123236 | − | 1.64447i | −0.00616180 | − | 0.0822236i | ||||
\(401\) | −5.22222 | + | 34.6471i | −0.260785 | + | 1.73020i | 0.348556 | + | 0.937288i | \(0.386672\pi\) |
−0.609341 | + | 0.792908i | \(0.708566\pi\) | |||||||
\(402\) | −38.4352 | − | 41.4233i | −1.91697 | − | 2.06601i | ||||
\(403\) | 0.761105 | + | 1.58045i | 0.0379134 | + | 0.0787279i | ||||
\(404\) | 4.73737 | + | 3.22988i | 0.235693 | + | 0.160693i | ||||
\(405\) | 36.8353 | + | 14.4568i | 1.83036 | + | 0.718364i | ||||
\(406\) | −2.08430 | − | 0.642922i | −0.103442 | − | 0.0319077i | ||||
\(407\) | −4.34476 | − | 4.03135i | −0.215362 | − | 0.199827i | ||||
\(408\) | −3.06856 | − | 8.89820i | −0.151916 | − | 0.440527i | ||||
\(409\) | −18.6834 | − | 23.4283i | −0.923836 | − | 1.15845i | −0.987043 | − | 0.160453i | \(-0.948704\pi\) |
0.0632076 | − | 0.998000i | \(-0.479867\pi\) | |||||||
\(410\) | −23.4294 | − | 21.7393i | −1.15710 | − | 1.07363i | ||||
\(411\) | 9.05632 | − | 29.3599i | 0.446715 | − | 1.44822i | ||||
\(412\) | 3.33472 | − | 8.49674i | 0.164290 | − | 0.418604i | ||||
\(413\) | 0.0448268 | − | 0.0657488i | 0.00220578 | − | 0.00323529i | ||||
\(414\) | −8.33350 | − | 17.3047i | −0.409569 | − | 0.850479i | ||||
\(415\) | 22.2502 | + | 23.9800i | 1.09222 | + | 1.17713i | ||||
\(416\) | 2.17938 | + | 0.328488i | 0.106853 | + | 0.0161055i | ||||
\(417\) | −2.31179 | − | 30.8487i | −0.113209 | − | 1.51067i | ||||
\(418\) | 20.4998 | − | 8.04558i | 1.00268 | − | 0.393522i | ||||
\(419\) | 30.7998 | + | 7.02986i | 1.50467 | + | 0.343431i | 0.893860 | − | 0.448346i | \(-0.147987\pi\) |
0.610810 | + | 0.791777i | \(0.290844\pi\) | |||||||
\(420\) | −2.71368 | − | 0.203362i | −0.132414 | − | 0.00992306i | ||||
\(421\) | 35.3246 | − | 10.8962i | 1.72161 | − | 0.531048i | 0.732831 | − | 0.680410i | \(-0.238198\pi\) |
0.988782 | + | 0.149363i | \(0.0477222\pi\) | |||||||
\(422\) | −19.4999 | + | 40.4919i | −0.949240 | + | 1.97112i | ||||
\(423\) | −17.3211 | − | 30.0010i | −0.842179 | − | 1.45870i | ||||
\(424\) | −1.49107 | + | 2.58260i | −0.0724126 | + | 0.125422i | ||||
\(425\) | 0.542987 | + | 2.06371i | 0.0263387 | + | 0.100104i | ||||
\(426\) | −14.0466 | − | 61.5423i | −0.680561 | − | 2.98173i | ||||
\(427\) | 1.10225 | − | 0.166138i | 0.0533418 | − | 0.00803998i | ||||
\(428\) | −26.6862 | − | 21.2815i | −1.28992 | − | 1.02868i | ||||
\(429\) | 2.00355 | 0.0967323 | ||||||||
\(430\) | 5.86205 | − | 28.3452i | 0.282693 | − | 1.36693i | ||||
\(431\) | − | 18.8999i | − | 0.910378i | −0.890395 | − | 0.455189i | \(-0.849572\pi\) | ||
0.890395 | − | 0.455189i | \(-0.150428\pi\) | |||||||
\(432\) | −31.2441 | − | 24.9163i | −1.50323 | − | 1.19879i | ||||
\(433\) | −2.35378 | + | 0.354775i | −0.113115 | + | 0.0170494i | −0.205356 | − | 0.978687i | \(-0.565835\pi\) |
0.0922406 | + | 0.995737i | \(0.470597\pi\) | |||||||
\(434\) | 0.518045 | + | 2.26970i | 0.0248669 | + | 0.108949i | ||||
\(435\) | 22.7168 | + | 33.3195i | 1.08919 | + | 1.59755i | ||||
\(436\) | 35.8875 | + | 20.7196i | 1.71870 | + | 0.992290i | ||||
\(437\) | −5.19093 | + | 2.99698i | −0.248316 | + | 0.143365i | ||||
\(438\) | −22.1736 | − | 10.6783i | −1.05950 | − | 0.510227i | ||||
\(439\) | 5.23674 | + | 16.9771i | 0.249936 | + | 0.810272i | 0.990407 | + | 0.138184i | \(0.0441264\pi\) |
−0.740471 | + | 0.672089i | \(0.765397\pi\) | |||||||
\(440\) | −0.266340 | + | 3.55406i | −0.0126972 | + | 0.169433i | ||||
\(441\) | 10.8129 | − | 47.3744i | 0.514899 | − | 2.25592i | ||||
\(442\) | −2.34096 | + | 0.0770029i | −0.111348 | + | 0.00366265i | ||||
\(443\) | 1.88887 | + | 25.2053i | 0.0897431 | + | 1.19754i | 0.842299 | + | 0.539010i | \(0.181202\pi\) |
−0.752556 | + | 0.658528i | \(0.771179\pi\) | |||||||
\(444\) | −18.6515 | − | 2.81126i | −0.885162 | − | 0.133417i | ||||
\(445\) | −15.7860 | − | 17.0132i | −0.748328 | − | 0.806505i | ||||
\(446\) | 28.1418 | − | 13.5524i | 1.33255 | − | 0.641724i | ||||
\(447\) | 10.0451 | − | 14.7335i | 0.475118 | − | 0.696871i | ||||
\(448\) | 1.69397 | + | 0.664835i | 0.0800326 | + | 0.0314105i | ||||
\(449\) | −6.00629 | + | 19.4719i | −0.283455 | + | 0.918937i | 0.696132 | + | 0.717914i | \(0.254903\pi\) |
−0.979586 | + | 0.201023i | \(0.935573\pi\) | |||||||
\(450\) | −5.51466 | − | 5.11685i | −0.259963 | − | 0.241211i | ||||
\(451\) | 10.5126 | + | 13.1823i | 0.495017 | + | 0.620731i | ||||
\(452\) | 36.5748 | − | 29.1675i | 1.72034 | − | 1.37192i | ||||
\(453\) | −20.8568 | + | 22.4783i | −0.979937 | + | 1.05612i | ||||
\(454\) | 5.67543 | − | 18.3993i | 0.266361 | − | 0.863521i | ||||
\(455\) | −0.0365547 | + | 0.0931399i | −0.00171371 | + | 0.00436647i | ||||
\(456\) | 5.83336 | − | 8.55597i | 0.273172 | − | 0.400670i | ||||
\(457\) | −1.61904 | + | 0.779691i | −0.0757357 | + | 0.0364724i | −0.471368 | − | 0.881937i | \(-0.656240\pi\) |
0.395632 | + | 0.918409i | \(0.370525\pi\) | |||||||
\(458\) | 18.9453 | − | 17.5787i | 0.885257 | − | 0.821398i | ||||
\(459\) | 45.6101 | + | 24.3699i | 2.12890 | + | 1.13749i | ||||
\(460\) | −0.490623 | − | 6.54690i | −0.0228754 | − | 0.305251i | ||||
\(461\) | 14.9260 | + | 38.0309i | 0.695174 | + | 1.77127i | 0.634246 | + | 0.773131i | \(0.281311\pi\) |
0.0609275 | + | 0.998142i | \(0.480594\pi\) | |||||||
\(462\) | 2.59237 | + | 0.591692i | 0.120608 | + | 0.0275280i | ||||
\(463\) | 1.27011 | − | 16.9484i | 0.0590269 | − | 0.787659i | −0.886627 | − | 0.462485i | \(-0.846958\pi\) |
0.945654 | − | 0.325174i | \(-0.105423\pi\) | |||||||
\(464\) | −5.66493 | − | 18.3652i | −0.262988 | − | 0.852585i | ||||
\(465\) | 18.6752 | − | 38.7795i | 0.866043 | − | 1.79836i | ||||
\(466\) | −12.9923 | + | 7.50110i | −0.601856 | + | 0.347482i | ||||
\(467\) | −13.2117 | + | 22.8833i | −0.611363 | + | 1.05891i | 0.379647 | + | 0.925131i | \(0.376045\pi\) |
−0.991011 | + | 0.133781i | \(0.957288\pi\) | |||||||
\(468\) | 3.68330 | − | 2.51123i | 0.170261 | − | 0.116082i | ||||
\(469\) | −1.45137 | + | 0.331267i | −0.0670182 | + | 0.0152965i | ||||
\(470\) | −3.26896 | − | 21.6882i | −0.150786 | − | 1.00040i | ||||
\(471\) | −46.8270 | − | 37.3433i | −2.15768 | − | 1.72069i | ||||
\(472\) | −0.331672 | −0.0152664 | ||||||||
\(473\) | −5.28655 | + | 14.3252i | −0.243076 | + | 0.658673i | ||||
\(474\) | −3.58084 | −0.164473 | ||||||||
\(475\) | −1.46377 | + | 1.83551i | −0.0671625 | + | 0.0842191i | ||||
\(476\) | −1.64756 | − | 0.319452i | −0.0755159 | − | 0.0146421i | ||||
\(477\) | −6.39955 | − | 28.0383i | −0.293015 | − | 1.28378i | ||||
\(478\) | 2.98503 | − | 2.03516i | 0.136532 | − | 0.0930860i | ||||
\(479\) | −23.8380 | − | 13.7629i | −1.08919 | − | 0.628842i | −0.155827 | − | 0.987784i | \(-0.549804\pi\) |
−0.933360 | + | 0.358942i | \(0.883138\pi\) | |||||||
\(480\) | −27.0397 | − | 46.8341i | −1.23419 | − | 2.13767i | ||||
\(481\) | −0.300909 | + | 0.624845i | −0.0137203 | + | 0.0284905i | ||||
\(482\) | 2.37706 | + | 7.70622i | 0.108272 | + | 0.351009i | ||||
\(483\) | −0.721712 | − | 0.0540849i | −0.0328391 | − | 0.00246095i | ||||
\(484\) | −2.91268 | + | 12.7613i | −0.132394 | + | 0.580058i | ||||
\(485\) | 7.52496 | + | 19.1733i | 0.341691 | + | 0.870614i | ||||
\(486\) | −44.4795 | + | 3.33328i | −2.01763 | + | 0.151201i | ||||
\(487\) | −0.654789 | + | 4.34424i | −0.0296713 | + | 0.196856i | −0.998756 | − | 0.0498739i | \(-0.984118\pi\) |
0.969084 | + | 0.246730i | \(0.0793562\pi\) | |||||||
\(488\) | −3.16013 | − | 3.40581i | −0.143052 | − | 0.154174i | ||||
\(489\) | 8.41958 | − | 4.05466i | 0.380747 | − | 0.183358i | ||||
\(490\) | 17.3309 | − | 25.4198i | 0.782932 | − | 1.14835i | ||||
\(491\) | 0.408388 | − | 1.04055i | 0.0184303 | − | 0.0469596i | −0.921362 | − | 0.388705i | \(-0.872923\pi\) |
0.939793 | + | 0.341745i | \(0.111018\pi\) | |||||||
\(492\) | 51.2747 | + | 15.8161i | 2.31164 | + | 0.713047i | ||||
\(493\) | 11.5215 | + | 22.0401i | 0.518900 | + | 0.992637i | ||||
\(494\) | −1.60664 | − | 2.01467i | −0.0722863 | − | 0.0906441i | ||||
\(495\) | −21.4300 | − | 26.8723i | −0.963205 | − | 1.20782i | ||||
\(496\) | −13.9525 | + | 15.0372i | −0.626486 | + | 0.675191i | ||||
\(497\) | −1.58914 | − | 0.490184i | −0.0712826 | − | 0.0219878i | ||||
\(498\) | −94.6927 | − | 37.1641i | −4.24328 | − | 1.66537i | ||||
\(499\) | 18.9550 | − | 27.8019i | 0.848542 | − | 1.24458i | −0.119259 | − | 0.992863i | \(-0.538052\pi\) |
0.967800 | − | 0.251719i | \(-0.0809958\pi\) | |||||||
\(500\) | −11.8944 | − | 24.6990i | −0.531935 | − | 1.10457i | ||||
\(501\) | 47.5963 | − | 44.1630i | 2.12645 | − | 1.97306i | ||||
\(502\) | −36.0890 | − | 5.43955i | −1.61073 | − | 0.242779i | ||||
\(503\) | 0.657650 | − | 0.0492841i | 0.0293232 | − | 0.00219747i | −0.0600604 | − | 0.998195i | \(-0.519129\pi\) |
0.0893836 | + | 0.995997i | \(0.471510\pi\) | |||||||
\(504\) | 0.813750 | − | 0.319373i | 0.0362473 | − | 0.0142260i | ||||
\(505\) | −5.04307 | − | 1.15105i | −0.224414 | − | 0.0512210i | ||||
\(506\) | −0.479400 | + | 6.39715i | −0.0213119 | + | 0.284388i | ||||
\(507\) | 12.0311 | + | 39.0037i | 0.534318 | + | 1.73222i | ||||
\(508\) | 16.1760 | + | 7.78996i | 0.717695 | + | 0.345624i | ||||
\(509\) | 7.11450 | + | 12.3227i | 0.315345 | + | 0.546193i | 0.979511 | − | 0.201392i | \(-0.0645466\pi\) |
−0.664166 | + | 0.747585i | \(0.731213\pi\) | |||||||
\(510\) | 37.2905 | + | 43.7305i | 1.65125 | + | 1.93642i | ||||
\(511\) | −0.535710 | + | 0.365241i | −0.0236984 | + | 0.0161573i | ||||
\(512\) | 6.76024 | + | 29.6186i | 0.298763 | + | 1.30897i | ||||
\(513\) | 8.47941 | + | 56.2572i | 0.374375 | + | 2.48382i | ||||
\(514\) | −24.6973 | + | 30.9694i | −1.08935 | + | 1.36600i | ||||
\(515\) | 8.23480i | 0.362869i | ||||||||
\(516\) | 11.7805 | + | 47.1448i | 0.518607 | + | 2.07544i | ||||
\(517\) | 11.5705i | 0.508871i | ||||||||
\(518\) | −0.573874 | + | 0.719615i | −0.0252146 | + | 0.0316181i | ||||
\(519\) | 9.37650 | − | 1.41328i | 0.411583 | − | 0.0620361i | ||||
\(520\) | 0.406578 | − | 0.0927988i | 0.0178296 | − | 0.00406950i | ||||
\(521\) | 19.2999 | + | 28.3078i | 0.845546 | + | 1.24019i | 0.968808 | + | 0.247814i | \(0.0797121\pi\) |
−0.123262 | + | 0.992374i | \(0.539335\pi\) | |||||||
\(522\) | −75.9286 | − | 43.8374i | −3.32330 | − | 1.91871i | ||||
\(523\) | 14.2320 | + | 24.6506i | 0.622322 | + | 1.07789i | 0.989052 | + | 0.147566i | \(0.0471440\pi\) |
−0.366730 | + | 0.930327i | \(0.619523\pi\) | |||||||
\(524\) | 4.35577 | − | 9.04484i | 0.190283 | − | 0.395126i | ||||
\(525\) | −0.270878 | + | 0.0835548i | −0.0118221 | + | 0.00364663i | ||||
\(526\) | −2.99797 | + | 40.0051i | −0.130718 | + | 1.74431i | ||||
\(527\) | 14.2239 | − | 22.4118i | 0.619603 | − | 0.976272i | ||||
\(528\) | 8.55973 | + | 21.8098i | 0.372514 | + | 0.949151i | ||||
\(529\) | 1.58831 | + | 21.1945i | 0.0690569 | + | 0.921501i | ||||
\(530\) | 2.71384 | − | 18.0052i | 0.117882 | − | 0.782094i | ||||
\(531\) | 2.34474 | − | 2.17560i | 0.101753 | − | 0.0944130i | ||||
\(532\) | −0.801106 | − | 1.66351i | −0.0347324 | − | 0.0721225i | ||||
\(533\) | 1.11139 | − | 1.63010i | 0.0481395 | − | 0.0706076i | ||||
\(534\) | 67.1822 | + | 26.3671i | 2.90726 | + | 1.14101i | ||||
\(535\) | 29.4258 | + | 9.07666i | 1.27219 | + | 0.392418i | ||||
\(536\) | 4.54850 | + | 4.22039i | 0.196465 | + | 0.182293i | ||||
\(537\) | 40.7048 | − | 32.4610i | 1.75654 | − | 1.40080i | ||||
\(538\) | 11.3768 | − | 9.07271i | 0.490489 | − | 0.391152i | ||||
\(539\) | −11.0392 | + | 11.8974i | −0.475493 | + | 0.512459i | ||||
\(540\) | −59.5467 | − | 18.3677i | −2.56248 | − | 0.790421i | ||||
\(541\) | 2.14152 | + | 0.840485i | 0.0920712 | + | 0.0361353i | 0.410930 | − | 0.911667i | \(-0.365204\pi\) |
−0.318858 | + | 0.947802i | \(0.603299\pi\) | |||||||
\(542\) | 42.4522 | + | 28.9434i | 1.82348 | + | 1.24323i | ||||
\(543\) | 2.07971 | − | 1.00154i | 0.0892490 | − | 0.0429801i | ||||
\(544\) | −13.1987 | − | 30.6285i | −0.565888 | − | 1.31318i | ||||
\(545\) | −36.9680 | − | 5.57202i | −1.58353 | − | 0.238679i | ||||
\(546\) | −0.0232515 | − | 0.310270i | −0.000995073 | − | 0.0132783i | ||||
\(547\) | 1.48662 | − | 0.583455i | 0.0635633 | − | 0.0249468i | −0.333346 | − | 0.942804i | \(-0.608178\pi\) |
0.396910 | + | 0.917858i | \(0.370083\pi\) | |||||||
\(548\) | −5.08090 | + | 22.2609i | −0.217045 | + | 0.950938i | ||||
\(549\) | 44.6808 | + | 3.34836i | 1.90693 | + | 0.142905i | ||||
\(550\) | 0.740617 | + | 2.40102i | 0.0315800 | + | 0.102380i | ||||
\(551\) | −11.8716 | + | 24.6516i | −0.505746 | + | 1.05019i | ||||
\(552\) | 1.50826 | + | 2.61239i | 0.0641959 | + | 0.111191i | ||||
\(553\) | −0.0471684 | + | 0.0816981i | −0.00200581 | + | 0.00347416i | ||||
\(554\) | −16.6544 | − | 24.4275i | −0.707577 | − | 1.03783i | ||||
\(555\) | 16.5904 | − | 3.78664i | 0.704222 | − | 0.160734i | ||||
\(556\) | 3.42643 | + | 22.7329i | 0.145313 | + | 0.964090i | ||||
\(557\) | 10.1619 | − | 12.7426i | 0.430573 | − | 0.539922i | −0.518458 | − | 0.855103i | \(-0.673494\pi\) |
0.949032 | + | 0.315181i | \(0.102065\pi\) | |||||||
\(558\) | 93.5781i | 3.96148i | ||||||||
\(559\) | 1.78408 | + | 0.0970334i | 0.0754587 | + | 0.00410407i | ||||
\(560\) | −1.17006 | −0.0494439 | ||||||||
\(561\) | −16.0141 | − | 25.7437i | −0.676114 | − | 1.08690i | ||||
\(562\) | 38.6209 | − | 5.82116i | 1.62912 | − | 0.245551i | ||||
\(563\) | 2.32214 | + | 10.1739i | 0.0978664 | + | 0.428781i | 0.999996 | − | 0.00268372i | \(-0.000854256\pi\) |
−0.902130 | + | 0.431464i | \(0.857997\pi\) | |||||||
\(564\) | 20.7428 | + | 30.4242i | 0.873431 | + | 1.28109i | ||||
\(565\) | −21.1024 | + | 36.5504i | −0.887783 | + | 1.53768i | ||||
\(566\) | −33.3701 | + | 19.2662i | −1.40265 | + | 0.809819i | ||||
\(567\) | −1.40655 | + | 2.92073i | −0.0590695 | + | 0.122659i | ||||
\(568\) | 2.04308 | + | 6.62351i | 0.0857258 | + | 0.277916i | ||||
\(569\) | −2.45951 | + | 32.8198i | −0.103108 | + | 1.37588i | 0.670357 | + | 0.742039i | \(0.266141\pi\) |
−0.773465 | + | 0.633840i | \(0.781478\pi\) | |||||||
\(570\) | −14.0696 | + | 61.6430i | −0.589311 | + | 2.58194i | ||||
\(571\) | 12.7883 | − | 5.01903i | 0.535173 | − | 0.210040i | −0.0823345 | − | 0.996605i | \(-0.526238\pi\) |
0.617508 | + | 0.786565i | \(0.288142\pi\) | |||||||
\(572\) | −1.48478 | + | 0.111269i | −0.0620820 | + | 0.00465240i | ||||
\(573\) | 6.50294 | − | 43.1442i | 0.271664 | − | 1.80237i | ||||
\(574\) | 1.91942 | − | 1.78096i | 0.0801149 | − | 0.0743358i | ||||
\(575\) | −0.296730 | − | 0.616165i | −0.0123745 | − | 0.0256959i | ||||
\(576\) | 60.4364 | + | 41.2049i | 2.51819 | + | 1.71687i | ||||
\(577\) | −11.5149 | + | 29.3395i | −0.479372 | + | 1.22142i | 0.462852 | + | 0.886436i | \(0.346826\pi\) |
−0.942224 | + | 0.334984i | \(0.891269\pi\) | |||||||
\(578\) | 19.7003 | + | 29.4636i | 0.819426 | + | 1.22553i | ||||
\(579\) | 5.72690 | + | 5.31379i | 0.238002 | + | 0.220834i | ||||
\(580\) | −18.6854 | − | 23.4307i | −0.775868 | − | 0.972908i | ||||
\(581\) | −2.09525 | + | 1.67091i | −0.0869256 | + | 0.0693209i | ||||
\(582\) | −46.9517 | − | 43.5648i | −1.94621 | − | 1.80582i | ||||
\(583\) | −2.83132 | + | 9.17890i | −0.117261 | + | 0.380151i | ||||
\(584\) | 2.51560 | + | 0.987300i | 0.104096 | + | 0.0408548i | ||||
\(585\) | −2.26557 | + | 3.32299i | −0.0936699 | + | 0.137389i | ||||
\(586\) | −37.5528 | + | 18.0845i | −1.55129 | + | 0.747063i | ||||
\(587\) | 7.66902 | − | 7.11581i | 0.316534 | − | 0.293701i | −0.505864 | − | 0.862613i | \(-0.668826\pi\) |
0.822398 | + | 0.568912i | \(0.192636\pi\) | |||||||
\(588\) | −7.69820 | + | 51.0742i | −0.317468 | + | 2.10626i | ||||
\(589\) | 29.1218 | − | 2.18238i | 1.19994 | − | 0.0899234i | ||||
\(590\) | 1.88515 | − | 0.739869i | 0.0776106 | − | 0.0304599i | ||||
\(591\) | −12.1028 | + | 53.0258i | −0.497842 | + | 2.18119i | ||||
\(592\) | −8.08738 | − | 0.606065i | −0.332389 | − | 0.0249091i | ||||
\(593\) | 42.9891 | − | 13.2604i | 1.76535 | − | 0.544539i | 0.769760 | − | 0.638333i | \(-0.220376\pi\) |
0.995592 | + | 0.0937946i | \(0.0298997\pi\) | |||||||
\(594\) | 54.8597 | + | 26.4191i | 2.25092 | + | 1.08399i | ||||
\(595\) | 1.48893 | − | 0.274760i | 0.0610404 | − | 0.0112640i | ||||
\(596\) | −6.62598 | + | 11.4765i | −0.271411 | + | 0.470097i | ||||
\(597\) | −22.0237 | + | 15.0155i | −0.901372 | + | 0.614545i | ||||
\(598\) | 0.731823 | − | 0.167034i | 0.0299264 | − | 0.00683052i | ||||
\(599\) | 32.2543 | − | 4.86156i | 1.31788 | − | 0.198638i | 0.547810 | − | 0.836603i | \(-0.315462\pi\) |
0.770066 | + | 0.637965i | \(0.220223\pi\) | |||||||
\(600\) | 0.923740 | + | 0.736658i | 0.0377115 | + | 0.0300739i | ||||
\(601\) | − | 6.31054i | − | 0.257412i | −0.991683 | − | 0.128706i | \(-0.958918\pi\) | ||
0.991683 | − | 0.128706i | \(-0.0410824\pi\) | |||||||
\(602\) | 2.27975 | + | 0.652430i | 0.0929158 | + | 0.0265910i | ||||
\(603\) | −59.8391 | −2.43684 | ||||||||
\(604\) | 14.2081 | − | 17.8164i | 0.578121 | − | 0.724941i | ||||
\(605\) | −1.76004 | − | 11.6771i | −0.0715558 | − | 0.474742i | ||||
\(606\) | 15.6822 | − | 3.57935i | 0.637045 | − | 0.145401i | ||||
\(607\) | 7.53166 | + | 11.0469i | 0.305701 | + | 0.448380i | 0.948092 | − | 0.317996i | \(-0.103010\pi\) |
−0.642391 | + | 0.766377i | \(0.722058\pi\) | |||||||
\(608\) | 18.3461 | − | 31.7764i | 0.744032 | − | 1.28870i | ||||
\(609\) | −2.86109 | + | 1.65185i | −0.115937 | + | 0.0669363i | ||||
\(610\) | 25.5590 | + | 12.3085i | 1.03485 | + | 0.498358i | ||||
\(611\) | 1.29374 | − | 0.399066i | 0.0523392 | − | 0.0161445i | ||||
\(612\) | −61.7070 | − | 27.2550i | −2.49436 | − | 1.10172i | ||||
\(613\) | 4.88457 | − | 21.4007i | 0.197286 | − | 0.864367i | −0.775257 | − | 0.631645i | \(-0.782380\pi\) |
0.972543 | − | 0.232721i | \(-0.0747630\pi\) | |||||||
\(614\) | −1.98292 | − | 5.05240i | −0.0800242 | − | 0.203898i | ||||
\(615\) | −48.2742 | + | 3.61765i | −1.94660 | + | 0.145878i | ||||
\(616\) | −0.288716 | − | 0.0435169i | −0.0116327 | − | 0.00175335i | ||||
\(617\) | −3.83826 | − | 4.13667i | −0.154523 | − | 0.166536i | 0.651046 | − | 0.759038i | \(-0.274331\pi\) |
−0.805569 | + | 0.592502i | \(0.798140\pi\) | |||||||
\(618\) | −11.1106 | − | 23.0714i | −0.446934 | − | 0.928067i | ||||
\(619\) | −5.16332 | + | 7.57321i | −0.207532 | + | 0.304393i | −0.915866 | − | 0.401484i | \(-0.868494\pi\) |
0.708334 | + | 0.705877i | \(0.249447\pi\) | |||||||
\(620\) | −11.6861 | + | 29.7758i | −0.469326 | + | 1.19582i | ||||
\(621\) | −15.8366 | − | 4.88496i | −0.635503 | − | 0.196027i | ||||
\(622\) | −18.2842 | + | 19.7057i | −0.733131 | + | 0.790127i | ||||
\(623\) | 1.48653 | − | 1.18547i | 0.0595566 | − | 0.0474948i | ||||
\(624\) | 2.14341 | − | 1.70931i | 0.0858051 | − | 0.0684273i | ||||
\(625\) | 16.2330 | + | 15.0620i | 0.649318 | + | 0.602479i | ||||
\(626\) | 12.9829 | − | 42.0896i | 0.518902 | − | 1.68224i | ||||
\(627\) | 12.1860 | − | 31.0495i | 0.486662 | − | 1.24000i | ||||
\(628\) | 36.7764 | + | 25.0737i | 1.46754 | + | 1.00055i | ||||
\(629\) | 10.4338 | − | 1.12789i | 0.416022 | − | 0.0449719i | ||||
\(630\) | −3.91275 | + | 3.63051i | −0.155888 | + | 0.144643i | ||||
\(631\) | −46.3660 | − | 6.98856i | −1.84580 | − | 0.278210i | −0.869391 | − | 0.494125i | \(-0.835489\pi\) |
−0.976412 | + | 0.215915i | \(0.930727\pi\) | |||||||
\(632\) | 0.392095 | − | 0.0293835i | 0.0155967 | − | 0.00116881i | ||||
\(633\) | 24.8692 | + | 63.3656i | 0.988461 | + | 2.51856i | ||||
\(634\) | −21.8813 | − | 4.99426i | −0.869016 | − | 0.198347i | ||||
\(635\) | −16.1524 | − | 1.21046i | −0.640989 | − | 0.0480355i | ||||
\(636\) | 9.01050 | + | 29.2113i | 0.357290 | + | 1.15830i | ||||
\(637\) | 1.71104 | + | 0.823993i | 0.0677938 | + | 0.0326478i | ||||
\(638\) | 14.6417 | + | 25.3602i | 0.579672 | + | 1.00402i | ||||
\(639\) | −57.8904 | − | 33.4230i | −2.29011 | − | 1.32220i | ||||
\(640\) | 6.79388 | + | 9.96479i | 0.268552 | + | 0.393893i | ||||
\(641\) | 22.2192 | − | 5.07140i | 0.877608 | − | 0.200308i | 0.240096 | − | 0.970749i | \(-0.422821\pi\) |
0.637511 | + | 0.770441i | \(0.279964\pi\) | |||||||
\(642\) | −94.6885 | + | 14.2720i | −3.73706 | + | 0.563271i | ||||
\(643\) | −10.1245 | − | 8.07406i | −0.399273 | − | 0.318410i | 0.403185 | − | 0.915119i | \(-0.367903\pi\) |
−0.802458 | + | 0.596709i | \(0.796475\pi\) | |||||||
\(644\) | 0.537848 | 0.0211942 | ||||||||
\(645\) | −25.4324 | − | 35.7099i | −1.00140 | − | 1.40608i | ||||
\(646\) | −13.0449 | + | 36.7467i | −0.513244 | + | 1.44578i | ||||
\(647\) | 0.908861 | − | 1.13968i | 0.0357310 | − | 0.0448053i | −0.763645 | − | 0.645636i | \(-0.776592\pi\) |
0.799376 | + | 0.600831i | \(0.205164\pi\) | |||||||
\(648\) | 13.3607 | − | 2.01380i | 0.524859 | − | 0.0791097i | ||||
\(649\) | −1.04155 | + | 0.237727i | −0.0408845 | + | 0.00933161i | ||||
\(650\) | 0.242923 | − | 0.165622i | 0.00952822 | − | 0.00649623i | ||||
\(651\) | 3.05373 | + | 1.76307i | 0.119685 | + | 0.0691003i | ||||
\(652\) | −6.01438 | + | 3.47240i | −0.235541 | + | 0.135990i | ||||
\(653\) | 3.62189 | − | 7.52092i | 0.141735 | − | 0.294316i | −0.818002 | − | 0.575215i | \(-0.804918\pi\) |
0.959737 | + | 0.280899i | \(0.0906325\pi\) | |||||||
\(654\) | 111.091 | − | 34.2670i | 4.34400 | − | 1.33995i | ||||
\(655\) | −0.676828 | + | 9.03164i | −0.0264459 | + | 0.352895i | ||||
\(656\) | 22.4928 | + | 5.13384i | 0.878197 | + | 0.200443i | ||||
\(657\) | −24.2601 | + | 9.52140i | −0.946478 | + | 0.371465i | ||||
\(658\) | 1.79181 | − | 0.134278i | 0.0698521 | − | 0.00523469i | ||||
\(659\) | 17.1145 | + | 2.57960i | 0.666687 | + | 0.100487i | 0.473662 | − | 0.880707i | \(-0.342932\pi\) |
0.193025 | + | 0.981194i | \(0.438170\pi\) | |||||||
\(660\) | 24.8496 | + | 26.7815i | 0.967271 | + | 1.04247i | ||||
\(661\) | −20.4782 | + | 9.86176i | −0.796508 | + | 0.383578i | −0.787448 | − | 0.616381i | \(-0.788598\pi\) |
−0.00905999 | + | 0.999959i | \(0.502884\pi\) | |||||||
\(662\) | −4.81677 | − | 3.28402i | −0.187209 | − | 0.127637i | ||||
\(663\) | −2.32617 | + | 2.67849i | −0.0903410 | + | 0.104024i | ||||
\(664\) | 10.6736 | + | 3.29238i | 0.414218 | + | 0.127769i | ||||
\(665\) | 1.22108 | + | 1.13299i | 0.0473513 | + | 0.0439356i | ||||
\(666\) | −28.9253 | + | 23.0672i | −1.12083 | + | 0.893835i | ||||
\(667\) | −4.96944 | − | 6.23148i | −0.192417 | − | 0.241284i | ||||
\(668\) | −32.8199 | + | 35.3715i | −1.26984 | + | 1.36856i | ||||
\(669\) | 13.9447 | − | 45.2075i | 0.539132 | − | 1.74782i | ||||
\(670\) | −35.2673 | − | 13.8414i | −1.36249 | − | 0.534739i | ||||
\(671\) | −12.3649 | − | 8.43025i | −0.477342 | − | 0.325446i | ||||
\(672\) | 3.99162 | − | 1.92226i | 0.153980 | − | 0.0741529i | ||||
\(673\) | −19.3407 | − | 20.8444i | −0.745530 | − | 0.803491i | 0.240395 | − | 0.970675i | \(-0.422723\pi\) |
−0.985926 | + | 0.167184i | \(0.946532\pi\) | |||||||
\(674\) | −3.11328 | + | 20.6552i | −0.119919 | + | 0.795610i | ||||
\(675\) | −6.47311 | + | 0.485093i | −0.249150 | + | 0.0186712i | ||||
\(676\) | −11.0821 | − | 28.2366i | −0.426233 | − | 1.08602i | ||||
\(677\) | −34.5264 | − | 7.88042i | −1.32696 | − | 0.302869i | −0.500435 | − | 0.865774i | \(-0.666827\pi\) |
−0.826522 | + | 0.562905i | \(0.809684\pi\) | |||||||
\(678\) | 9.80770 | − | 130.875i | 0.376663 | − | 5.02621i | ||||
\(679\) | −1.61242 | + | 0.497365i | −0.0618789 | + | 0.0190871i | ||||
\(680\) | −4.44209 | − | 4.48241i | −0.170346 | − | 0.171893i | ||||
\(681\) | −14.5818 | − | 25.2564i | −0.558776 | − | 0.967829i | ||||
\(682\) | 15.6276 | − | 27.0678i | 0.598412 | − | 1.03648i | ||||
\(683\) | 23.1653 | + | 33.9772i | 0.886394 | + | 1.30010i | 0.953202 | + | 0.302335i | \(0.0977661\pi\) |
−0.0668081 | + | 0.997766i | \(0.521282\pi\) | |||||||
\(684\) | −16.5145 | − | 72.3548i | −0.631448 | − | 2.76655i | ||||
\(685\) | −3.07023 | − | 20.3697i | −0.117307 | − | 0.778284i | ||||
\(686\) | 3.94961 | + | 3.14971i | 0.150797 | + | 0.120256i | ||||
\(687\) | − | 39.1446i | − | 1.49346i | ||||||
\(688\) | 6.56584 | + | 19.8354i | 0.250320 | + | 0.756216i | ||||
\(689\) | 1.12398 | 0.0428202 | ||||||||
\(690\) | −14.4002 | − | 11.4838i | −0.548205 | − | 0.437179i | ||||
\(691\) | 5.20716 | + | 34.5473i | 0.198090 | + | 1.31424i | 0.837949 | + | 0.545748i | \(0.183754\pi\) |
−0.639860 | + | 0.768492i | \(0.721008\pi\) | |||||||
\(692\) | −6.87022 | + | 1.56808i | −0.261167 | + | 0.0596096i | ||||
\(693\) | 2.32651 | − | 1.58619i | 0.0883769 | − | 0.0602544i | ||||
\(694\) | 62.9247 | + | 36.3296i | 2.38859 | + | 1.37905i | ||||
\(695\) | −10.3704 | − | 17.9620i | −0.393371 | − | 0.681338i | ||||
\(696\) | 12.4061 | + | 5.97448i | 0.470254 | + | 0.226462i | ||||
\(697\) | −29.8284 | − | 1.25108i | −1.12983 | − | 0.0473880i | ||||
\(698\) | −0.629016 | + | 8.39364i | −0.0238086 | + | 0.317704i | ||||
\(699\) | −5.05627 | + | 22.1530i | −0.191246 | + | 0.837902i | ||||
\(700\) | 0.196101 | − | 0.0769641i | 0.00741193 | − | 0.00290897i | ||||
\(701\) | −2.78012 | − | 37.0982i | −0.105004 | − | 1.40118i | −0.762143 | − | 0.647409i | \(-0.775853\pi\) |
0.657139 | − | 0.753770i | \(-0.271767\pi\) | |||||||
\(702\) | 1.06190 | − | 7.04526i | 0.0400789 | − | 0.265906i | ||||
\(703\) | 7.85317 | + | 8.46370i | 0.296188 | + | 0.319215i | ||||
\(704\) | −10.6002 | − | 22.0116i | −0.399511 | − | 0.829593i | ||||
\(705\) | −27.4480 | − | 18.7137i | −1.03375 | − | 0.704799i | ||||
\(706\) | 9.97347 | − | 25.4120i | 0.375356 | − | 0.956392i | ||||
\(707\) | 0.124909 | − | 0.404944i | 0.00469767 | − | 0.0152295i | ||||
\(708\) | −2.31253 | + | 2.49232i | −0.0869103 | + | 0.0936671i | ||||
\(709\) | 28.2106 | − | 22.4972i | 1.05947 | − | 0.844901i | 0.0711780 | − | 0.997464i | \(-0.477324\pi\) |
0.988294 | + | 0.152563i | \(0.0487527\pi\) | |||||||
\(710\) | −26.3877 | − | 33.0891i | −0.990313 | − | 1.24181i | ||||
\(711\) | −2.57916 | + | 2.77968i | −0.0967261 | + | 0.104246i | ||||
\(712\) | −7.57270 | − | 2.33587i | −0.283799 | − | 0.0875404i | ||||
\(713\) | −3.10797 | + | 7.91897i | −0.116394 | + | 0.296568i | ||||
\(714\) | −3.80083 | + | 2.77870i | −0.142242 | + | 0.103990i | ||||
\(715\) | 1.21027 | − | 0.582834i | 0.0452614 | − | 0.0217967i | ||||
\(716\) | −28.3627 | + | 26.3167i | −1.05996 | + | 0.983502i | ||||
\(717\) | 0.815562 | − | 5.41090i | 0.0304577 | − | 0.202074i | ||||
\(718\) | 5.75841 | + | 76.8406i | 0.214902 | + | 2.86767i | ||||
\(719\) | 7.46986 | − | 2.93171i | 0.278579 | − | 0.109334i | −0.221938 | − | 0.975061i | \(-0.571238\pi\) |
0.500517 | + | 0.865727i | \(0.333143\pi\) | |||||||
\(720\) | −45.8519 | − | 10.4654i | −1.70880 | − | 0.390022i | ||||
\(721\) | −0.672736 | − | 0.0504146i | −0.0250540 | − | 0.00187754i | ||||
\(722\) | −3.14077 | + | 0.968800i | −0.116887 | + | 0.0360550i | ||||
\(723\) | 11.0050 | + | 5.29975i | 0.409282 | + | 0.197100i | ||||
\(724\) | −1.48561 | + | 0.857715i | −0.0552121 | + | 0.0318767i | ||||
\(725\) | −2.70358 | − | 1.56091i | −0.100408 | − | 0.0579707i | ||||
\(726\) | 20.6861 | + | 30.3410i | 0.767734 | + | 1.12606i | ||||
\(727\) | 0.329640 | + | 1.44425i | 0.0122257 | + | 0.0535641i | 0.980673 | − | 0.195655i | \(-0.0626832\pi\) |
−0.968447 | + | 0.249219i | \(0.919826\pi\) | |||||||
\(728\) | 0.00509200 | + | 0.0337832i | 0.000188722 | + | 0.00125209i | ||||
\(729\) | −7.16243 | + | 8.98141i | −0.265275 | + | 0.332645i | ||||
\(730\) | −16.5006 | −0.610713 | ||||||||
\(731\) | −13.0131 | − | 23.6993i | −0.481308 | − | 0.876552i | ||||
\(732\) | −47.6262 | −1.76032 | ||||||||
\(733\) | 18.3157 | − | 22.9672i | 0.676508 | − | 0.848314i | −0.318520 | − | 0.947916i | \(-0.603186\pi\) |
0.995027 | + | 0.0996025i | \(0.0317571\pi\) | |||||||
\(734\) | 8.00795 | + | 53.1293i | 0.295579 | + | 1.96104i | ||||
\(735\) | −10.3691 | − | 45.4301i | −0.382471 | − | 1.67571i | ||||
\(736\) | 6.02105 | + | 8.83125i | 0.221939 | + | 0.325524i | ||||
\(737\) | 17.3087 | + | 9.99317i | 0.637573 | + | 0.368103i | ||||
\(738\) | 91.1472 | − | 52.6238i | 3.35517 | − | 1.93711i | ||||
\(739\) | −15.8285 | − | 7.62263i | −0.582263 | − | 0.280403i | 0.119476 | − | 0.992837i | \(-0.461878\pi\) |
−0.701739 | + | 0.712434i | \(0.747593\pi\) | |||||||
\(740\) | −12.0845 | + | 3.72756i | −0.444233 | + | 0.137028i | ||||
\(741\) | −3.89205 | − | 0.291669i | −0.142978 | − | 0.0107147i | ||||
\(742\) | 1.45430 | + | 0.331935i | 0.0533892 | + | 0.0121857i | ||||
\(743\) | 7.08657 | − | 2.78127i | 0.259981 | − | 0.102035i | −0.231771 | − | 0.972770i | \(-0.574452\pi\) |
0.491752 | + | 0.870735i | \(0.336357\pi\) | |||||||
\(744\) | −1.09830 | − | 14.6558i | −0.0402658 | − | 0.537309i | ||||
\(745\) | 1.78189 | − | 11.8221i | 0.0652834 | − | 0.433127i | ||||
\(746\) | 52.4946 | − | 48.7078i | 1.92196 | − | 1.78332i | ||||
\(747\) | −97.0533 | + | 46.7384i | −3.55100 | + | 1.71007i | ||||
\(748\) | 13.2974 | + | 18.1887i | 0.486200 | + | 0.665045i | ||||
\(749\) | −0.921660 | + | 2.34835i | −0.0336767 | + | 0.0858069i | ||||
\(750\) | −73.4914 | − | 22.6691i | −2.68352 | − | 0.827758i | ||||
\(751\) | 33.8883 | − | 36.5229i | 1.23660 | − | 1.33274i | 0.312821 | − | 0.949812i | \(-0.398726\pi\) |
0.923779 | − | 0.382926i | \(-0.125084\pi\) | |||||||
\(752\) | 9.87130 | + | 12.3782i | 0.359969 | + | 0.451387i | ||||
\(753\) | −43.2186 | + | 34.4657i | −1.57497 | + | 1.25600i | ||||
\(754\) | 2.33063 | − | 2.51182i | 0.0848765 | − | 0.0914751i | ||||
\(755\) | −6.05984 | + | 19.6455i | −0.220540 | + | 0.714973i | ||||
\(756\) | 1.86509 | − | 4.75217i | 0.0678327 | − | 0.172835i | ||||
\(757\) | −0.448063 | − | 0.305484i | −0.0162851 | − | 0.0111030i | 0.555150 | − | 0.831750i | \(-0.312661\pi\) |
−0.571435 | + | 0.820647i | \(0.693613\pi\) | |||||||
\(758\) | 3.77011 | + | 7.82871i | 0.136937 | + | 0.284352i | ||||
\(759\) | 6.60885 | + | 7.12264i | 0.239886 | + | 0.258536i | ||||
\(760\) | 1.03477 | − | 6.86525i | 0.0375351 | − | 0.249029i | ||||
\(761\) | 1.25969 | + | 16.8093i | 0.0456636 | + | 0.609338i | 0.972354 | + | 0.233512i | \(0.0750219\pi\) |
−0.926690 | + | 0.375826i | \(0.877359\pi\) | |||||||
\(762\) | 46.8873 | − | 18.4019i | 1.69855 | − | 0.666631i | ||||
\(763\) | 0.681526 | − | 2.98596i | 0.0246729 | − | 0.108099i | ||||
\(764\) | −2.42312 | + | 32.3343i | −0.0876655 | + | 1.16981i | ||||
\(765\) | 60.8056 | + | 2.55034i | 2.19843 | + | 0.0922077i | ||||
\(766\) | −67.1847 | − | 32.3544i | −2.42748 | − | 1.16901i | ||||
\(767\) | 0.0625042 | + | 0.108260i | 0.00225690 | + | 0.00390906i | ||||
\(768\) | 24.9057 | + | 14.3793i | 0.898707 | + | 0.518869i | ||||
\(769\) | 10.0180 | − | 6.83013i | 0.361257 | − | 0.246301i | −0.369066 | − | 0.929403i | \(-0.620322\pi\) |
0.730322 | + | 0.683103i | \(0.239370\pi\) | |||||||
\(770\) | 1.73808 | − | 0.396704i | 0.0626359 | − | 0.0142962i | ||||
\(771\) | 8.94197 | + | 59.3261i | 0.322037 | + | 2.13658i | ||||
\(772\) | −4.53919 | − | 3.61988i | −0.163369 | − | 0.130282i | ||||
\(773\) | −37.5277 | −1.34978 | −0.674889 | − | 0.737919i | \(-0.735809\pi\) | ||||
−0.674889 | + | 0.737919i | \(0.735809\pi\) | |||||||
\(774\) | 83.5028 | + | 45.9582i | 3.00145 | + | 1.65193i | ||||
\(775\) | 3.33202i | 0.119690i | ||||||||
\(776\) | 5.49861 | + | 4.38500i | 0.197389 | + | 0.157412i | ||||
\(777\) | 0.207779 | + | 1.37852i | 0.00745402 | + | 0.0494542i | ||||
\(778\) | −16.4051 | − | 71.8753i | −0.588151 | − | 2.57686i | ||||
\(779\) | −18.5024 | − | 27.1380i | −0.662917 | − | 0.972321i | ||||
\(780\) | 2.13748 | − | 3.70222i | 0.0765340 | − | 0.132561i | ||||
\(781\) | 11.1633 | + | 19.3355i | 0.399456 | + | 0.691878i | ||||
\(782\) | −7.99557 | − | 8.06814i | −0.285921 | − | 0.288516i | ||||
\(783\) | −72.2909 | + | 22.2988i | −2.58347 | + | 0.796894i | ||||
\(784\) | −1.65961 | + | 22.1460i | −0.0592719 | + | 0.790929i | ||||
\(785\) | −39.1496 | − | 8.93564i | −1.39731 | − | 0.318927i | ||||
\(786\) | −10.2894 | − | 26.2171i | −0.367012 | − | 0.935132i | ||||
\(787\) | −33.6209 | + | 2.51954i | −1.19846 | + | 0.0898118i | −0.658961 | − | 0.752177i | \(-0.729004\pi\) |
−0.539494 | + | 0.841989i | \(0.681385\pi\) | |||||||
\(788\) | 6.02426 | − | 39.9683i | 0.214605 | − | 1.42381i | ||||
\(789\) | 41.3290 | + | 44.5421i | 1.47135 | + | 1.58574i | ||||
\(790\) | −2.16304 | + | 1.04167i | −0.0769577 | + | 0.0370609i | ||||
\(791\) | −2.85676 | − | 1.94771i | −0.101575 | − | 0.0692526i | ||||
\(792\) | −10.9249 | − | 4.28770i | −0.388199 | − | 0.152357i | ||||
\(793\) | −0.516152 | + | 1.67332i | −0.0183291 | + | 0.0594215i | ||||
\(794\) | −34.1412 | + | 36.7955i | −1.21163 | + | 1.30582i | ||||
\(795\) | −17.1952 | − | 21.5622i | −0.609853 | − | 0.764731i | ||||
\(796\) | 15.4874 | − | 12.3508i | 0.548936 | − | 0.437762i | ||||
\(797\) | −28.2728 | − | 26.2333i | −1.00147 | − | 0.929232i | −0.00398050 | − | 0.999992i | \(-0.501267\pi\) |
−0.997493 | + | 0.0707601i | \(0.977458\pi\) | |||||||
\(798\) | −4.94975 | − | 1.52679i | −0.175219 | − | 0.0540479i | ||||
\(799\) | −15.4683 | − | 13.4337i | −0.547229 | − | 0.475249i | ||||
\(800\) | 3.45901 | + | 2.35831i | 0.122295 | + | 0.0833790i | ||||
\(801\) | 68.8570 | − | 33.1598i | 2.43294 | − | 1.17164i | ||||
\(802\) | −49.6875 | − | 53.5503i | −1.75453 | − | 1.89093i | ||||
\(803\) | 8.60741 | + | 1.29736i | 0.303749 | + | 0.0457828i | ||||
\(804\) | 63.4275 | − | 4.75323i | 2.23692 | − | 0.167634i | ||||
\(805\) | −0.451692 | + | 0.177276i | −0.0159200 | + | 0.00624816i | ||||
\(806\) | −3.56555 | − | 0.813812i | −0.125591 | − | 0.0286653i | ||||
\(807\) | 1.64705 | − | 21.9784i | 0.0579790 | − | 0.773676i | ||||
\(808\) | −1.68780 | + | 0.520617i | −0.0593766 | + | 0.0183153i | ||||
\(809\) | 9.39571 | − | 19.5104i | 0.330336 | − | 0.685949i | −0.667967 | − | 0.744191i | \(-0.732835\pi\) |
0.998302 | + | 0.0582420i | \(0.0185495\pi\) | |||||||
\(810\) | −71.4474 | + | 41.2502i | −2.51040 | + | 1.44938i | ||||
\(811\) | −28.7148 | − | 16.5785i | −1.00831 | − | 0.582151i | −0.0976168 | − | 0.995224i | \(-0.531122\pi\) |
−0.910698 | + | 0.413073i | \(0.864455\pi\) | |||||||
\(812\) | 2.02855 | − | 1.38304i | 0.0711882 | − | 0.0485353i | ||||
\(813\) | 75.8701 | − | 17.3169i | 2.66088 | − | 0.607329i | ||||
\(814\) | 12.2190 | − | 1.84172i | 0.428276 | − | 0.0645522i | ||||
\(815\) | 3.90644 | − | 4.89852i | 0.136837 | − | 0.171588i | ||||
\(816\) | −39.0950 | − | 13.8785i | −1.36860 | − | 0.485845i | ||||
\(817\) | 12.3549 | − | 27.0582i | 0.432244 | − | 0.946646i | ||||
\(818\) | 62.4754 | 2.18440 | ||||||||
\(819\) | −0.257599 | − | 0.205428i | −0.00900123 | − | 0.00717824i | ||||
\(820\) | 35.5740 | − | 5.36192i | 1.24230 | − | 0.187246i | ||||
\(821\) | 0.493291 | − | 0.112591i | 0.0172160 | − | 0.00392944i | −0.213904 | − | 0.976855i | \(-0.568618\pi\) |
0.231120 | + | 0.972925i | \(0.425761\pi\) | |||||||
\(822\) | 36.0851 | + | 52.9271i | 1.25861 | + | 1.84604i | ||||
\(823\) | 12.4875 | + | 7.20966i | 0.435287 | + | 0.251313i | 0.701596 | − | 0.712575i | \(-0.252471\pi\) |
−0.266310 | + | 0.963888i | \(0.585804\pi\) | |||||||
\(824\) | 1.40591 | + | 2.43511i | 0.0489772 | + | 0.0848309i | ||||
\(825\) | 3.42883 | + | 1.65124i | 0.119377 | + | 0.0574887i | ||||
\(826\) | 0.0489019 | + | 0.158536i | 0.00170151 | + | 0.00551617i | ||||
\(827\) | 18.2250 | + | 1.36577i | 0.633744 | + | 0.0474926i | 0.387729 | − | 0.921773i | \(-0.373260\pi\) |
0.246015 | + | 0.969266i | \(0.420879\pi\) | |||||||
\(828\) | 21.0771 | + | 4.81071i | 0.732479 | + | 0.167184i | ||||
\(829\) | −12.2646 | − | 31.2498i | −0.425968 | − | 1.08535i | −0.969311 | − | 0.245838i | \(-0.920937\pi\) |
0.543343 | − | 0.839511i | \(-0.317158\pi\) | |||||||
\(830\) | −68.0113 | + | 5.09674i | −2.36071 | + | 0.176910i | ||||
\(831\) | −44.2792 | − | 6.67402i | −1.53603 | − | 0.231519i | ||||
\(832\) | −2.09559 | + | 1.94443i | −0.0726517 | + | 0.0674109i | ||||
\(833\) | −3.08855 | − | 28.5713i | −0.107012 | − | 0.989935i | ||||
\(834\) | 53.2894 | + | 36.3321i | 1.84526 | + | 1.25808i | ||||
\(835\) | 15.9041 | − | 40.5229i | 0.550383 | − | 1.40235i | ||||
\(836\) | −7.30641 | + | 23.6868i | −0.252698 | + | 0.819226i | ||||
\(837\) | 59.1908 | + | 54.9210i | 2.04593 | + | 1.89835i | ||||
\(838\) | −51.4957 | + | 41.0665i | −1.77889 | + | 1.41862i | ||||
\(839\) | −27.9004 | + | 22.2499i | −0.963230 | + | 0.768150i | −0.972762 | − | 0.231804i | \(-0.925537\pi\) |
0.00953230 | + | 0.999955i | \(0.496966\pi\) | |||||||
\(840\) | 0.570190 | − | 0.614519i | 0.0196734 | − | 0.0212029i | ||||
\(841\) | −7.05499 | − | 2.17618i | −0.243276 | − | 0.0750406i | ||||
\(842\) | −28.1575 | + | 71.7440i | −0.970370 | + | 2.47246i | ||||
\(843\) | 33.3242 | − | 48.8776i | 1.14775 | − | 1.68343i | ||||
\(844\) | −21.9491 | − | 45.5777i | −0.755518 | − | 1.56885i | ||||
\(845\) | 18.6137 | + | 20.0608i | 0.640331 | + | 0.690112i | ||||
\(846\) | 71.4181 | + | 10.7646i | 2.45541 | + | 0.370093i | ||||
\(847\) | 0.964728 | − | 0.0722964i | 0.0331485 | − | 0.00248413i | ||||
\(848\) | 4.80195 | + | 12.2352i | 0.164900 | + | 0.420158i | ||||
\(849\) | −12.9868 | + | 56.8988i | −0.445705 | + | 1.95276i | ||||
\(850\) | −4.06973 | − | 1.79754i | −0.139591 | − | 0.0616550i | ||||
\(851\) | −3.21390 | + | 0.991358i | −0.110171 | + | 0.0339833i | ||||
\(852\) | 64.0169 | + | 30.8289i | 2.19318 | + | 1.05618i | ||||
\(853\) | 28.8863 | − | 16.6775i | 0.989048 | − | 0.571027i | 0.0840581 | − | 0.996461i | \(-0.473212\pi\) |
0.904989 | + | 0.425434i | \(0.139879\pi\) | |||||||
\(854\) | −1.16201 | + | 2.01267i | −0.0397633 | + | 0.0688720i | ||||
\(855\) | 37.7174 | + | 55.3212i | 1.28991 | + | 1.89195i | ||||
\(856\) | 10.2511 | − | 2.33975i | 0.350376 | − | 0.0799710i | ||||
\(857\) | 1.92664 | + | 12.7824i | 0.0658129 | + | 0.436640i | 0.997335 | + | 0.0729556i | \(0.0232432\pi\) |
−0.931522 | + | 0.363684i | \(0.881519\pi\) | |||||||
\(858\) | −2.60442 | + | 3.26584i | −0.0889135 | + | 0.111494i | ||||
\(859\) | 9.05069 | 0.308806 | 0.154403 | − | 0.988008i | \(-0.450655\pi\) | ||||
0.154403 | + | 0.988008i | \(0.450655\pi\) | |||||||
\(860\) | 20.8306 | + | 25.0514i | 0.710317 | + | 0.854246i | ||||
\(861\) | − | 3.96587i | − | 0.135157i | ||||||
\(862\) | 30.8074 | + | 24.5681i | 1.04931 | + | 0.836794i | ||||
\(863\) | 7.60669 | − | 1.14652i | 0.258935 | − | 0.0390281i | −0.0182920 | − | 0.999833i | \(-0.505823\pi\) |
0.277227 | + | 0.960805i | \(0.410585\pi\) | |||||||
\(864\) | 98.9079 | − | 22.5751i | 3.36491 | − | 0.768020i | ||||
\(865\) | 5.25285 | − | 3.58134i | 0.178602 | − | 0.121769i | ||||
\(866\) | 2.48139 | − | 4.29790i | 0.0843212 | − | 0.146049i | ||||
\(867\) | 53.0087 | + | 8.48034i | 1.80027 | + | 0.288007i | ||||
\(868\) | −2.36097 | − | 1.13698i | −0.0801364 | − | 0.0385917i | ||||
\(869\) | 1.21024 | − | 0.373309i | 0.0410546 | − | 0.0126637i | ||||
\(870\) | −83.8414 | − | 6.28305i | −2.84249 | − | 0.213015i | ||||
\(871\) | 0.520397 | − | 2.28001i | 0.0176330 | − | 0.0772552i | ||||
\(872\) | −11.8831 | + | 4.66376i | −0.402411 | + | 0.157935i | ||||
\(873\) | −67.6356 | + | 5.06859i | −2.28912 | + | 0.171546i | ||||
\(874\) | 1.86254 | − | 12.3572i | 0.0630014 | − | 0.417987i | ||||
\(875\) | −1.48527 | + | 1.37813i | −0.0502111 | + | 0.0465891i | ||||
\(876\) | 24.9586 | − | 12.0194i | 0.843274 | − | 0.406100i | ||||
\(877\) | 3.34721 | − | 4.90946i | 0.113027 | − | 0.165781i | −0.765557 | − | 0.643368i | \(-0.777536\pi\) |
0.878584 | + | 0.477588i | \(0.158489\pi\) | |||||||
\(878\) | −34.4804 | − | 13.5326i | −1.16366 | − | 0.456702i | ||||
\(879\) | −18.6079 | + | 60.3254i | −0.627630 | + | 2.03473i | ||||
\(880\) | 11.5151 | + | 10.6844i | 0.388174 | + | 0.360172i | ||||
\(881\) | −20.5538 | + | 16.3911i | −0.692474 | + | 0.552230i | −0.905254 | − | 0.424870i | \(-0.860320\pi\) |
0.212780 | + | 0.977100i | \(0.431748\pi\) | |||||||
\(882\) | 63.1658 | + | 79.2074i | 2.12690 | + | 2.66705i | ||||
\(883\) | 20.7580 | + | 19.2606i | 0.698562 | + | 0.648171i | 0.947281 | − | 0.320405i | \(-0.103819\pi\) |
−0.248719 | + | 0.968576i | \(0.580009\pi\) | |||||||
\(884\) | 1.57512 | − | 2.11415i | 0.0529770 | − | 0.0711067i | ||||
\(885\) | 1.12062 | − | 2.85530i | 0.0376693 | − | 0.0959797i | ||||
\(886\) | −43.5407 | − | 29.6855i | −1.46278 | − | 0.997304i | ||||
\(887\) | 6.65523 | + | 13.8197i | 0.223461 | + | 0.464021i | 0.982314 | − | 0.187241i | \(-0.0599544\pi\) |
−0.758853 | + | 0.651261i | \(0.774240\pi\) | |||||||
\(888\) | 4.25944 | − | 3.95218i | 0.142937 | − | 0.132627i | ||||
\(889\) | 0.197775 | − | 1.31215i | 0.00663315 | − | 0.0440081i | ||||
\(890\) | 48.2524 | − | 3.61601i | 1.61742 | − | 0.121209i | ||||
\(891\) | 40.5134 | − | 15.9003i | 1.35725 | − | 0.532681i | ||||
\(892\) | −7.82343 | + | 34.2767i | −0.261948 | + | 1.14767i | ||||
\(893\) | 1.68439 | − | 22.4766i | 0.0563659 | − | 0.752151i | ||||
\(894\) | 10.9583 | + | 35.5260i | 0.366501 | + | 1.18817i | ||||
\(895\) | 15.1453 | − | 31.4495i | 0.506251 | − | 1.05124i | ||||
\(896\) | −0.855660 | + | 0.494015i | −0.0285856 | + | 0.0165039i | ||||
\(897\) | 0.568470 | − | 0.984619i | 0.0189807 | − | 0.0328755i | ||||
\(898\) | −23.9322 | − | 35.1021i | −0.798627 | − | 1.17137i | ||||
\(899\) | 8.64110 | + | 37.8591i | 0.288197 | + | 1.26267i | ||||
\(900\) | 8.37316 | − | 1.26205i | 0.279105 | − | 0.0420684i | ||||
\(901\) | −8.98378 | − | 14.4420i | −0.299293 | − | 0.481134i | ||||
\(902\) | −35.1529 | −1.17046 | ||||||||
\(903\) | 3.07300 | − | 1.85906i | 0.102263 | − | 0.0618658i | ||||
\(904\) | 14.4110i | 0.479304i | ||||||||
\(905\) | 0.964926 | − | 1.20998i | 0.0320752 | − | 0.0402211i | ||||
\(906\) | −9.52839 | − | 63.2168i | −0.316560 | − | 2.10024i | ||||
\(907\) | −6.13662 | + | 1.40064i | −0.203763 | + | 0.0465076i | −0.323184 | − | 0.946336i | \(-0.604753\pi\) |
0.119421 | + | 0.992844i | \(0.461896\pi\) | |||||||
\(908\) | 12.2089 | + | 17.9072i | 0.405166 | + | 0.594270i | ||||
\(909\) | 8.51684 | − | 14.7516i | 0.282486 | − | 0.489280i | ||||
\(910\) | −0.104303 | − | 0.180658i | −0.00345761 | − | 0.00598876i | ||||
\(911\) | 14.0818 | − | 29.2412i | 0.466552 | − | 0.968805i | −0.526395 | − | 0.850240i | \(-0.676457\pi\) |
0.992946 | − | 0.118564i | \(-0.0378292\pi\) | |||||||
\(912\) | −13.4529 | − | 43.6133i | −0.445471 | − | 1.44418i | ||||
\(913\) | 35.8784 | + | 2.68871i | 1.18740 | + | 0.0889834i | ||||
\(914\) | 0.833685 | − | 3.65261i | 0.0275758 | − | 0.120818i | ||||
\(915\) | 39.9971 | − | 15.6977i | 1.32226 | − | 0.518950i | ||||
\(916\) | 2.17394 | + | 29.0091i | 0.0718288 | + | 0.958489i | ||||
\(917\) | −0.733690 | − | 0.110586i | −0.0242286 | − | 0.00365187i | ||||
\(918\) | −99.0125 | + | 42.6672i | −3.26790 | + | 1.40823i | ||||
\(919\) | 10.7038 | − | 5.15466i | 0.353085 | − | 0.170037i | −0.248930 | − | 0.968521i | \(-0.580079\pi\) |
0.602015 | + | 0.798485i | \(0.294365\pi\) | |||||||
\(920\) | 1.67103 | + | 1.13929i | 0.0550921 | + | 0.0375612i | ||||
\(921\) | −7.65248 | − | 3.00338i | −0.252158 | − | 0.0989646i | ||||
\(922\) | −81.3938 | − | 25.1067i | −2.68056 | − | 0.826844i | ||||
\(923\) | 1.77695 | − | 1.91509i | 0.0584889 | − | 0.0630361i | ||||
\(924\) | −2.34003 | + | 1.86611i | −0.0769814 | + | 0.0613906i | ||||
\(925\) | −1.02994 | + | 0.821349i | −0.0338642 | + | 0.0270058i | ||||
\(926\) | 25.9754 | + | 24.1016i | 0.853603 | + | 0.792028i | ||||
\(927\) | −25.9121 | − | 7.99282i | −0.851065 | − | 0.262519i | ||||
\(928\) | 45.4180 | + | 17.8252i | 1.49092 | + | 0.585142i | ||||
\(929\) | 8.83194 | − | 12.9541i | 0.289767 | − | 0.425010i | −0.653560 | − | 0.756874i | \(-0.726725\pi\) |
0.943327 | + | 0.331865i | \(0.107678\pi\) | |||||||
\(930\) | 38.9357 | + | 80.8508i | 1.27675 | + | 2.65120i | ||||
\(931\) | 23.1765 | − | 21.5047i | 0.759579 | − | 0.704786i | ||||
\(932\) | 2.51680 | − | 16.6979i | 0.0824404 | − | 0.546956i | ||||
\(933\) | 3.04269 | + | 40.6018i | 0.0996131 | + | 1.32924i | ||||
\(934\) | −20.1265 | − | 51.2815i | −0.658559 | − | 1.67798i | ||||
\(935\) | −17.1623 | − | 10.8923i | −0.561268 | − | 0.356215i | ||||
\(936\) | −0.102625 | + | 1.36943i | −0.00335440 | + | 0.0447614i | ||||
\(937\) | −15.4533 | + | 4.76670i | −0.504837 | + | 0.155721i | −0.536704 | − | 0.843771i | \(-0.680331\pi\) |
0.0318674 | + | 0.999492i | \(0.489855\pi\) | |||||||
\(938\) | 1.34667 | − | 2.79640i | 0.0439705 | − | 0.0913056i | ||||
\(939\) | −33.3569 | − | 57.7758i | −1.08856 | − | 1.88544i | ||||
\(940\) | 21.3804 | + | 12.3440i | 0.697350 | + | 0.402615i | ||||
\(941\) | 29.3592 | + | 43.0621i | 0.957083 | + | 1.40378i | 0.914453 | + | 0.404692i | \(0.132621\pi\) |
0.0426302 | + | 0.999091i | \(0.486426\pi\) | |||||||
\(942\) | 121.741 | − | 27.7867i | 3.96655 | − | 0.905339i | ||||
\(943\) | 9.46102 | − | 1.42602i | 0.308093 | − | 0.0464376i | ||||
\(944\) | −0.911444 | + | 1.14291i | −0.0296650 | + | 0.0371987i | ||||
\(945\) | 4.60567i | 0.149823i | ||||||||
\(946\) | −16.4785 | − | 27.2386i | −0.535761 | − | 0.885603i | ||||
\(947\) | 12.5387i | 0.407454i | 0.979028 | + | 0.203727i | \(0.0653055\pi\) | ||||
−0.979028 | + | 0.203727i | \(0.934694\pi\) | |||||||
\(948\) | 2.51303 | − | 3.15124i | 0.0816194 | − | 0.102347i | ||||
\(949\) | −0.151807 | − | 1.00717i | −0.00492785 | − | 0.0326942i | ||||
\(950\) | −1.08917 | − | 4.77198i | −0.0353375 | − | 0.154824i | ||||
\(951\) | −28.0873 | + | 19.1496i | −0.910792 | + | 0.620968i | ||||
\(952\) | 0.393383 | − | 0.335452i | 0.0127496 | − | 0.0108720i | ||||
\(953\) | 21.4923 | + | 37.2258i | 0.696205 | + | 1.20586i | 0.969773 | + | 0.244010i | \(0.0784630\pi\) |
−0.273567 | + | 0.961853i | \(0.588204\pi\) | |||||||
\(954\) | 54.0220 | + | 26.0156i | 1.74903 | + | 0.842287i | ||||
\(955\) | −8.62249 | − | 27.9534i | −0.279017 | − | 0.904552i | ||||
\(956\) | −0.303894 | + | 4.05519i | −0.00982864 | + | 0.131154i | ||||
\(957\) | 43.2414 | + | 9.86956i | 1.39779 | + | 0.319037i | ||||
\(958\) | 53.4210 | − | 20.9662i | 1.72596 | − | 0.677387i | ||||
\(959\) | 1.68288 | − | 0.126115i | 0.0543431 | − | 0.00407245i | ||||
\(960\) | 69.3611 | + | 10.4545i | 2.23862 | + | 0.337417i | ||||
\(961\) | 7.65854 | − | 7.10609i | 0.247050 | − | 0.229229i | ||||
\(962\) | −0.627362 | − | 1.30273i | −0.0202269 | − | 0.0420017i | ||||
\(963\) | −57.1223 | + | 83.7830i | −1.84074 | + | 2.69987i | ||||
\(964\) | −8.44991 | − | 3.31635i | −0.272153 | − | 0.106812i | ||||
\(965\) | 5.00519 | + | 1.54390i | 0.161123 | + | 0.0496997i | ||||
\(966\) | 1.02632 | − | 1.10611i | 0.0330212 | − | 0.0355884i | ||||
\(967\) | 1.96619 | + | 2.46553i | 0.0632285 | + | 0.0792861i | 0.812440 | − | 0.583045i | \(-0.198139\pi\) |
−0.749212 | + | 0.662331i | \(0.769567\pi\) | |||||||
\(968\) | −2.51407 | − | 3.15254i | −0.0808052 | − | 0.101326i | ||||
\(969\) | 27.3609 | + | 52.3403i | 0.878958 | + | 1.68141i | ||||
\(970\) | −41.0347 | − | 12.6575i | −1.31755 | − | 0.406409i | ||||
\(971\) | −0.606596 | + | 1.54558i | −0.0194666 | + | 0.0496000i | −0.940277 | − | 0.340411i | \(-0.889434\pi\) |
0.920810 | + | 0.390011i | \(0.127529\pi\) | |||||||
\(972\) | 28.2823 | − | 41.4826i | 0.907156 | − | 1.33055i | ||||
\(973\) | 1.53088 | − | 0.737235i | 0.0490779 | − | 0.0236347i | ||||
\(974\) | −6.23007 | − | 6.71442i | −0.199624 | − | 0.215144i | ||||
\(975\) | 0.0663707 | − | 0.440341i | 0.00212556 | − | 0.0141022i | ||||
\(976\) | −20.4203 | + | 1.53029i | −0.653637 | + | 0.0489833i | ||||
\(977\) | −20.3803 | − | 51.9282i | −0.652024 | − | 1.66133i | −0.746158 | − | 0.665769i | \(-0.768103\pi\) |
0.0941340 | − | 0.995560i | \(-0.469992\pi\) | |||||||
\(978\) | −4.33544 | + | 18.9948i | −0.138632 | + | 0.607387i | ||||
\(979\) | −25.4548 | − | 1.90758i | −0.813540 | − | 0.0609664i | ||||
\(980\) | 10.2073 | + | 33.0914i | 0.326061 | + | 1.05706i | ||||
\(981\) | 53.4149 | − | 110.917i | 1.70541 | − | 3.54132i | ||||
\(982\) | 1.16527 | + | 2.01831i | 0.0371852 | + | 0.0644067i | ||||
\(983\) | 35.5371 | + | 20.5173i | 1.13346 | + | 0.654402i | 0.944802 | − | 0.327642i | \(-0.106254\pi\) |
0.188655 | + | 0.982043i | \(0.439587\pi\) | |||||||
\(984\) | −13.6575 | + | 9.31152i | −0.435385 | + | 0.296840i | ||||
\(985\) | 8.11440 | + | 35.5515i | 0.258546 | + | 1.13277i | ||||
\(986\) | −50.9028 | − | 9.86975i | −1.62108 | − | 0.314317i | ||||
\(987\) | 1.69684 | − | 2.12778i | 0.0540111 | − | 0.0677278i | ||||
\(988\) | 2.90051 | 0.0922774 | ||||||||
\(989\) | 5.53997 | + | 6.66251i | 0.176161 | + | 0.211856i | ||||
\(990\) | 71.6595 | 2.27749 | ||||||||
\(991\) | −34.2682 | − | 27.3280i | −1.08857 | − | 0.868102i | −0.0966899 | − | 0.995315i | \(-0.530826\pi\) |
−0.991875 | + | 0.127213i | \(0.959397\pi\) | |||||||
\(992\) | −7.76151 | − | 51.4943i | −0.246428 | − | 1.63494i | ||||
\(993\) | −8.60849 | + | 1.96483i | −0.273182 | + | 0.0623520i | ||||
\(994\) | 2.86474 | − | 1.95315i | 0.0908641 | − | 0.0619501i | ||||
\(995\) | −8.93566 | + | 15.4770i | −0.283280 | + | 0.490655i | ||||
\(996\) | 99.1608 | − | 57.2505i | 3.14203 | − | 1.81405i | ||||
\(997\) | −20.8607 | + | 43.3176i | −0.660664 | + | 1.37188i | 0.253816 | + | 0.967252i | \(0.418314\pi\) |
−0.914480 | + | 0.404630i | \(0.867400\pi\) | |||||||
\(998\) | 20.6781 | + | 67.0369i | 0.654555 | + | 2.12202i | ||||
\(999\) | −2.38565 | + | 31.8342i | −0.0754785 | + | 1.00719i |
(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 | 731.2.z.a.67.10 | yes | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.9 | ✓ | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.9 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.10 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.9 | ✓ | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.67.10 | yes | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.611.9 | yes | 768 | 43.9 | even | 21 | inner | |
731.2.z.a.611.10 | yes | 768 | 731.611 | even | 42 | inner |