Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(5,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.h (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(1064\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 107.31 | ||
Character | \(\chi\) | \(=\) | 177.107 |
Dual form | 177.3.h.a.134.31 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{27}{29}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.574021 | + | 2.60780i | 0.287010 | + | 1.30390i | 0.870656 | + | 0.491892i | \(0.163695\pi\) |
−0.583646 | + | 0.812008i | \(0.698374\pi\) | |||||||
\(3\) | −2.66997 | + | 1.36794i | −0.889990 | + | 0.455979i | ||||
\(4\) | −2.84083 | + | 1.31431i | −0.710207 | + | 0.328577i | ||||
\(5\) | 7.65813 | + | 2.12627i | 1.53163 | + | 0.425254i | 0.928175 | − | 0.372145i | \(-0.121378\pi\) |
0.603452 | + | 0.797399i | \(0.293791\pi\) | |||||||
\(6\) | −5.09993 | − | 6.17753i | −0.849988 | − | 1.02959i | ||||
\(7\) | −6.92978 | + | 6.56424i | −0.989969 | + | 0.937748i | −0.998063 | − | 0.0622191i | \(-0.980182\pi\) |
0.00809380 | + | 0.999967i | \(0.497424\pi\) | |||||||
\(8\) | 1.40567 | + | 1.84913i | 0.175709 | + | 0.231141i | ||||
\(9\) | 5.25749 | − | 7.30471i | 0.584166 | − | 0.811634i | ||||
\(10\) | −1.14897 | + | 21.1914i | −0.114897 | + | 2.11914i | ||||
\(11\) | −7.04832 | + | 5.98690i | −0.640756 | + | 0.544263i | −0.907791 | − | 0.419424i | \(-0.862232\pi\) |
0.267034 | + | 0.963687i | \(0.413956\pi\) | |||||||
\(12\) | 5.78704 | − | 7.39524i | 0.482253 | − | 0.616270i | ||||
\(13\) | −6.51292 | + | 2.19446i | −0.500994 | + | 0.168804i | −0.558441 | − | 0.829544i | \(-0.688600\pi\) |
0.0574476 | + | 0.998349i | \(0.481704\pi\) | |||||||
\(14\) | −21.0961 | − | 14.3035i | −1.50686 | − | 1.02168i | ||||
\(15\) | −23.3556 | + | 4.79877i | −1.55704 | + | 0.319918i | ||||
\(16\) | −12.1209 | + | 14.2698i | −0.757555 | + | 0.891863i | ||||
\(17\) | 21.5904 | − | 22.7927i | 1.27002 | − | 1.34075i | 0.356322 | − | 0.934363i | \(-0.384031\pi\) |
0.913702 | − | 0.406385i | \(-0.133211\pi\) | |||||||
\(18\) | 22.0671 | + | 9.51744i | 1.22595 | + | 0.528747i | ||||
\(19\) | −7.52901 | − | 18.8964i | −0.396264 | − | 0.994547i | −0.982808 | − | 0.184630i | \(-0.940891\pi\) |
0.586544 | − | 0.809917i | \(-0.300488\pi\) | |||||||
\(20\) | −24.5500 | + | 4.02477i | −1.22750 | + | 0.201239i | ||||
\(21\) | 9.52284 | − | 27.0058i | 0.453469 | − | 1.28599i | ||||
\(22\) | −19.6585 | − | 14.9440i | −0.893569 | − | 0.679273i | ||||
\(23\) | 0.0328185 | + | 0.301761i | 0.00142689 | + | 0.0131201i | 0.994830 | − | 0.101557i | \(-0.0323823\pi\) |
−0.993403 | + | 0.114677i | \(0.963417\pi\) | |||||||
\(24\) | −6.28259 | − | 3.01425i | −0.261775 | − | 0.125594i | ||||
\(25\) | 32.7045 | + | 19.6777i | 1.30818 | + | 0.787107i | ||||
\(26\) | −9.46126 | − | 15.7247i | −0.363894 | − | 0.604797i | ||||
\(27\) | −4.04496 | + | 26.6953i | −0.149813 | + | 0.988714i | ||||
\(28\) | 11.0589 | − | 27.7557i | 0.394961 | − | 0.991277i | ||||
\(29\) | −8.26086 | + | 37.5295i | −0.284857 | + | 1.29412i | 0.589077 | + | 0.808077i | \(0.299491\pi\) |
−0.873935 | + | 0.486043i | \(0.838440\pi\) | |||||||
\(30\) | −25.9208 | − | 58.1522i | −0.864028 | − | 1.93841i | ||||
\(31\) | −0.793400 | + | 1.99128i | −0.0255935 | + | 0.0642349i | −0.941218 | − | 0.337799i | \(-0.890317\pi\) |
0.915625 | + | 0.402034i | \(0.131697\pi\) | |||||||
\(32\) | −35.9618 | − | 19.0657i | −1.12381 | − | 0.595804i | ||||
\(33\) | 10.6291 | − | 25.6265i | 0.322094 | − | 0.776561i | ||||
\(34\) | 71.8322 | + | 43.2200i | 2.11271 | + | 1.27118i | ||||
\(35\) | −67.0265 | + | 35.5352i | −1.91504 | + | 1.01529i | ||||
\(36\) | −5.33500 | + | 27.6614i | −0.148194 | + | 0.768372i | ||||
\(37\) | 20.2950 | + | 15.4279i | 0.548514 | + | 0.416970i | 0.842386 | − | 0.538875i | \(-0.181151\pi\) |
−0.293871 | + | 0.955845i | \(0.594944\pi\) | |||||||
\(38\) | 44.9562 | − | 30.4811i | 1.18306 | − | 0.802134i | ||||
\(39\) | 14.3874 | − | 14.7684i | 0.368908 | − | 0.378677i | ||||
\(40\) | 6.83306 | + | 17.1497i | 0.170827 | + | 0.428742i | ||||
\(41\) | −3.54327 | + | 32.5798i | −0.0864211 | + | 0.794629i | 0.868081 | + | 0.496423i | \(0.165354\pi\) |
−0.954502 | + | 0.298206i | \(0.903612\pi\) | |||||||
\(42\) | 75.8922 | + | 9.33178i | 1.80696 | + | 0.222185i | ||||
\(43\) | 11.4507 | − | 13.4808i | 0.266294 | − | 0.313506i | −0.612721 | − | 0.790299i | \(-0.709925\pi\) |
0.879015 | + | 0.476793i | \(0.158201\pi\) | |||||||
\(44\) | 12.1544 | − | 26.2714i | 0.276237 | − | 0.597077i | ||||
\(45\) | 55.7943 | − | 44.7616i | 1.23987 | − | 0.994702i | ||||
\(46\) | −0.768096 | + | 0.258802i | −0.0166977 | + | 0.00562612i | ||||
\(47\) | 82.6580 | − | 22.9499i | 1.75868 | − | 0.488296i | 0.769964 | − | 0.638087i | \(-0.220274\pi\) |
0.988718 | + | 0.149792i | \(0.0478603\pi\) | |||||||
\(48\) | 12.8422 | − | 54.6806i | 0.267546 | − | 1.13918i | ||||
\(49\) | 2.27985 | − | 42.0493i | 0.0465275 | − | 0.858149i | ||||
\(50\) | −32.5424 | + | 96.5824i | −0.650848 | + | 1.93165i | ||||
\(51\) | −26.4667 | + | 90.3902i | −0.518956 | + | 1.77236i | ||||
\(52\) | 15.6179 | − | 14.7941i | 0.300344 | − | 0.284501i | ||||
\(53\) | 20.5229 | − | 1.11272i | 0.387224 | − | 0.0209947i | 0.140500 | − | 0.990081i | \(-0.455129\pi\) |
0.246723 | + | 0.969086i | \(0.420646\pi\) | |||||||
\(54\) | −71.9379 | + | 4.77520i | −1.33218 | + | 0.0884297i | ||||
\(55\) | −66.7067 | + | 30.8618i | −1.21285 | + | 0.561124i | ||||
\(56\) | −21.8791 | − | 3.58690i | −0.390698 | − | 0.0640517i | ||||
\(57\) | 45.9513 | + | 40.1536i | 0.806164 | + | 0.704449i | ||||
\(58\) | −102.611 | −1.76916 | ||||||||
\(59\) | −37.5011 | + | 45.5485i | −0.635611 | + | 0.772009i | ||||
\(60\) | 60.0422 | − | 44.3289i | 1.00070 | − | 0.738816i | ||||
\(61\) | 5.51453 | − | 1.21384i | 0.0904021 | − | 0.0198990i | −0.169539 | − | 0.985523i | \(-0.554228\pi\) |
0.259941 | + | 0.965624i | \(0.416297\pi\) | |||||||
\(62\) | −5.64830 | − | 0.925992i | −0.0911016 | − | 0.0149353i | ||||
\(63\) | 11.5166 | + | 85.1315i | 0.182803 | + | 1.35129i | ||||
\(64\) | 9.04130 | − | 32.5638i | 0.141270 | − | 0.508810i | ||||
\(65\) | −54.5428 | + | 2.95722i | −0.839120 | + | 0.0454958i | ||||
\(66\) | 72.9302 | + | 13.0085i | 1.10500 | + | 0.197098i | ||||
\(67\) | 71.1384 | − | 54.0780i | 1.06177 | − | 0.807135i | 0.0799190 | − | 0.996801i | \(-0.474534\pi\) |
0.981849 | + | 0.189667i | \(0.0607407\pi\) | |||||||
\(68\) | −31.3780 | + | 93.1267i | −0.461442 | + | 1.36951i | ||||
\(69\) | −0.500416 | − | 0.760801i | −0.00725240 | − | 0.0110261i | ||||
\(70\) | −131.143 | − | 154.394i | −1.87348 | − | 2.20563i | ||||
\(71\) | 120.229 | − | 33.3815i | 1.69337 | − | 0.470163i | 0.718983 | − | 0.695028i | \(-0.244608\pi\) |
0.974390 | + | 0.224865i | \(0.0721942\pi\) | |||||||
\(72\) | 20.8976 | − | 0.546243i | 0.290245 | − | 0.00758671i | ||||
\(73\) | −16.2646 | + | 23.9885i | −0.222803 | + | 0.328610i | −0.922618 | − | 0.385714i | \(-0.873955\pi\) |
0.699815 | + | 0.714324i | \(0.253266\pi\) | |||||||
\(74\) | −28.5831 | + | 61.7813i | −0.386258 | + | 0.834883i | ||||
\(75\) | −114.238 | − | 7.80102i | −1.52317 | − | 0.104014i | ||||
\(76\) | 46.2243 | + | 43.7860i | 0.608215 | + | 0.576131i | ||||
\(77\) | 9.54390 | − | 87.7547i | 0.123947 | − | 1.13967i | ||||
\(78\) | 46.7717 | + | 29.0422i | 0.599638 | + | 0.372335i | ||||
\(79\) | 11.7355 | + | 71.5833i | 0.148550 | + | 0.906118i | 0.950953 | + | 0.309335i | \(0.100106\pi\) |
−0.802403 | + | 0.596783i | \(0.796445\pi\) | |||||||
\(80\) | −123.165 | + | 83.5078i | −1.53956 | + | 1.04385i | ||||
\(81\) | −25.7176 | − | 76.8089i | −0.317501 | − | 0.948258i | ||||
\(82\) | −86.9955 | + | 9.46134i | −1.06092 | + | 0.115382i | ||||
\(83\) | 18.6439 | − | 9.88435i | 0.224625 | − | 0.119089i | −0.352296 | − | 0.935889i | \(-0.614599\pi\) |
0.576921 | + | 0.816800i | \(0.304254\pi\) | |||||||
\(84\) | 8.44120 | + | 89.2349i | 0.100490 | + | 1.06232i | ||||
\(85\) | 213.806 | − | 128.643i | 2.51536 | − | 1.51344i | ||||
\(86\) | 41.7280 | + | 22.1228i | 0.485210 | + | 0.257242i | ||||
\(87\) | −29.2817 | − | 111.503i | −0.336572 | − | 1.28164i | ||||
\(88\) | −20.9781 | − | 4.61764i | −0.238388 | − | 0.0524732i | ||||
\(89\) | 0.251811 | − | 1.14399i | 0.00282934 | − | 0.0128538i | −0.975185 | − | 0.221393i | \(-0.928940\pi\) |
0.978014 | + | 0.208539i | \(0.0668708\pi\) | |||||||
\(90\) | 148.756 | + | 119.807i | 1.65285 | + | 1.33118i | ||||
\(91\) | 30.7281 | − | 57.9594i | 0.337672 | − | 0.636917i | ||||
\(92\) | −0.489839 | − | 0.814119i | −0.00532434 | − | 0.00884912i | ||||
\(93\) | −0.605598 | − | 6.40199i | −0.00651181 | − | 0.0688386i | ||||
\(94\) | 107.296 | + | 202.382i | 1.14145 | + | 2.15300i | ||||
\(95\) | −17.4793 | − | 160.720i | −0.183993 | − | 1.69179i | ||||
\(96\) | 122.098 | + | 1.71145i | 1.27185 | + | 0.0178276i | ||||
\(97\) | 41.3253 | + | 60.9503i | 0.426034 | + | 0.628353i | 0.978760 | − | 0.205010i | \(-0.0657227\pi\) |
−0.552726 | + | 0.833363i | \(0.686412\pi\) | |||||||
\(98\) | 110.965 | − | 18.1918i | 1.13230 | − | 0.185630i | ||||
\(99\) | 6.67607 | + | 82.9620i | 0.0674351 | + | 0.838000i | ||||
\(100\) | −118.771 | − | 12.9171i | −1.18771 | − | 0.129171i | ||||
\(101\) | 105.971 | − | 111.872i | 1.04921 | − | 1.10764i | 0.0551899 | − | 0.998476i | \(-0.482424\pi\) |
0.994024 | − | 0.109165i | \(-0.0348178\pi\) | |||||||
\(102\) | −250.912 | − | 17.1342i | −2.45992 | − | 0.167982i | ||||
\(103\) | −21.6500 | − | 10.0163i | −0.210194 | − | 0.0972460i | 0.311967 | − | 0.950093i | \(-0.399012\pi\) |
−0.522161 | + | 0.852847i | \(0.674874\pi\) | |||||||
\(104\) | −13.2128 | − | 8.95853i | −0.127047 | − | 0.0861397i | ||||
\(105\) | 130.349 | − | 186.566i | 1.24142 | − | 1.77682i | ||||
\(106\) | 14.6823 | + | 52.8808i | 0.138512 | + | 0.498876i | ||||
\(107\) | 18.2595 | − | 15.5098i | 0.170650 | − | 0.144951i | −0.557992 | − | 0.829847i | \(-0.688428\pi\) |
0.728642 | + | 0.684895i | \(0.240152\pi\) | |||||||
\(108\) | −23.5948 | − | 81.1531i | −0.218470 | − | 0.751417i | ||||
\(109\) | −189.432 | − | 63.8270i | −1.73791 | − | 0.585569i | −0.741553 | − | 0.670894i | \(-0.765911\pi\) |
−0.996353 | + | 0.0853251i | \(0.972807\pi\) | |||||||
\(110\) | −118.773 | − | 156.243i | −1.07975 | − | 1.42039i | ||||
\(111\) | −75.2915 | − | 13.4296i | −0.678302 | − | 0.120988i | ||||
\(112\) | −9.67533 | − | 178.451i | −0.0863869 | − | 1.59331i | ||||
\(113\) | −162.400 | − | 45.0902i | −1.43717 | − | 0.399029i | −0.540357 | − | 0.841436i | \(-0.681711\pi\) |
−0.896814 | + | 0.442407i | \(0.854125\pi\) | |||||||
\(114\) | −78.3356 | + | 142.881i | −0.687154 | + | 1.25334i | ||||
\(115\) | −0.390298 | + | 2.38071i | −0.00339389 | + | 0.0207018i | ||||
\(116\) | −25.8576 | − | 117.472i | −0.222910 | − | 1.01269i | ||||
\(117\) | −18.2117 | + | 59.1123i | −0.155656 | + | 0.505233i | ||||
\(118\) | −140.308 | − | 71.6496i | −1.18905 | − | 0.607200i | ||||
\(119\) | 299.673i | 2.51826i | ||||||||
\(120\) | −41.7038 | − | 36.4420i | −0.347532 | − | 0.303683i | ||||
\(121\) | −5.73975 | + | 35.0109i | −0.0474359 | + | 0.289346i | ||||
\(122\) | 6.33090 | + | 13.6840i | 0.0518926 | + | 0.112164i | ||||
\(123\) | −35.1067 | − | 91.8341i | −0.285420 | − | 0.746618i | ||||
\(124\) | −0.363245 | − | 6.69967i | −0.00292940 | − | 0.0540296i | ||||
\(125\) | 71.9727 | + | 75.9807i | 0.575782 | + | 0.607846i | ||||
\(126\) | −215.395 | + | 78.9002i | −1.70949 | + | 0.626192i | ||||
\(127\) | 98.9532 | + | 33.3412i | 0.779159 | + | 0.262529i | 0.680652 | − | 0.732607i | \(-0.261697\pi\) |
0.0985070 | + | 0.995136i | \(0.468593\pi\) | |||||||
\(128\) | −72.4641 | − | 3.92889i | −0.566126 | − | 0.0306944i | ||||
\(129\) | −12.1321 | + | 51.6570i | −0.0940471 | + | 0.400442i | ||||
\(130\) | −39.0205 | − | 140.539i | −0.300158 | − | 1.08107i | ||||
\(131\) | −33.4632 | − | 99.3154i | −0.255445 | − | 0.758132i | −0.996259 | − | 0.0864223i | \(-0.972457\pi\) |
0.740814 | − | 0.671710i | \(-0.234440\pi\) | |||||||
\(132\) | 3.48564 | + | 86.7704i | 0.0264063 | + | 0.657352i | ||||
\(133\) | 176.215 | + | 81.5256i | 1.32492 | + | 0.612975i | ||||
\(134\) | 181.860 | + | 154.473i | 1.35716 | + | 1.15278i | ||||
\(135\) | −87.7382 | + | 195.835i | −0.649913 | + | 1.45063i | ||||
\(136\) | 72.4956 | + | 7.88437i | 0.533056 | + | 0.0579733i | ||||
\(137\) | 60.3288 | − | 24.0372i | 0.440356 | − | 0.175454i | −0.139414 | − | 0.990234i | \(-0.544522\pi\) |
0.579770 | + | 0.814780i | \(0.303142\pi\) | |||||||
\(138\) | 1.69677 | − | 1.74170i | 0.0122954 | − | 0.0126210i | ||||
\(139\) | −67.2308 | − | 99.1579i | −0.483674 | − | 0.713367i | 0.505054 | − | 0.863088i | \(-0.331473\pi\) |
−0.988728 | + | 0.149721i | \(0.952162\pi\) | |||||||
\(140\) | 143.707 | − | 189.043i | 1.02648 | − | 1.35031i | ||||
\(141\) | −189.301 | + | 174.347i | −1.34256 | + | 1.23650i | ||||
\(142\) | 156.067 | + | 294.373i | 1.09906 | + | 2.07305i | ||||
\(143\) | 32.7671 | − | 54.4594i | 0.229141 | − | 0.380835i | ||||
\(144\) | 40.5114 | + | 163.563i | 0.281329 | + | 1.13585i | ||||
\(145\) | −143.061 | + | 269.841i | −0.986625 | + | 1.86097i | ||||
\(146\) | −71.8935 | − | 28.6450i | −0.492422 | − | 0.196199i | ||||
\(147\) | 51.4337 | + | 115.389i | 0.349889 | + | 0.784960i | ||||
\(148\) | −77.9317 | − | 17.1541i | −0.526566 | − | 0.115906i | ||||
\(149\) | −86.1008 | − | 34.3057i | −0.577858 | − | 0.230240i | 0.0628518 | − | 0.998023i | \(-0.479980\pi\) |
−0.640710 | + | 0.767783i | \(0.721360\pi\) | |||||||
\(150\) | −45.2315 | − | 302.388i | −0.301543 | − | 2.01592i | ||||
\(151\) | 36.4106 | − | 21.9075i | 0.241130 | − | 0.145083i | −0.389860 | − | 0.920874i | \(-0.627477\pi\) |
0.630990 | + | 0.775791i | \(0.282649\pi\) | |||||||
\(152\) | 24.3585 | − | 40.4842i | 0.160253 | − | 0.266343i | ||||
\(153\) | −52.9828 | − | 277.544i | −0.346293 | − | 1.81401i | ||||
\(154\) | 234.325 | − | 25.4844i | 1.52159 | − | 0.165483i | ||||
\(155\) | −10.3100 | + | 13.5625i | −0.0665159 | + | 0.0875002i | ||||
\(156\) | −21.4620 | + | 60.8640i | −0.137577 | + | 0.390154i | ||||
\(157\) | −15.5601 | − | 94.9123i | −0.0991088 | − | 0.604537i | −0.988948 | − | 0.148263i | \(-0.952632\pi\) |
0.889839 | − | 0.456274i | \(-0.150816\pi\) | |||||||
\(158\) | −179.939 | + | 71.6941i | −1.13885 | + | 0.453760i | ||||
\(159\) | −53.2733 | + | 31.0449i | −0.335052 | + | 0.195251i | ||||
\(160\) | −234.861 | − | 222.472i | −1.46788 | − | 1.39045i | ||||
\(161\) | −2.20826 | − | 1.87571i | −0.0137159 | − | 0.0116504i | ||||
\(162\) | 185.540 | − | 111.156i | 1.14531 | − | 0.686150i | ||||
\(163\) | −66.4968 | + | 98.0754i | −0.407956 | + | 0.601690i | −0.975056 | − | 0.221959i | \(-0.928755\pi\) |
0.567100 | + | 0.823649i | \(0.308065\pi\) | |||||||
\(164\) | −32.7541 | − | 97.2106i | −0.199720 | − | 0.592747i | ||||
\(165\) | 135.888 | − | 173.651i | 0.823563 | − | 1.05243i | ||||
\(166\) | 36.4784 | + | 42.9457i | 0.219749 | + | 0.258709i | ||||
\(167\) | 173.320 | + | 9.39714i | 1.03784 | + | 0.0562703i | 0.565176 | − | 0.824970i | \(-0.308808\pi\) |
0.472668 | + | 0.881240i | \(0.343291\pi\) | |||||||
\(168\) | 63.3232 | − | 20.3523i | 0.376924 | − | 0.121145i | ||||
\(169\) | −96.9373 | + | 73.6898i | −0.573593 | + | 0.436034i | ||||
\(170\) | 458.203 | + | 483.719i | 2.69531 | + | 2.84541i | ||||
\(171\) | −177.616 | − | 44.3504i | −1.03869 | − | 0.259359i | ||||
\(172\) | −14.8115 | + | 53.3462i | −0.0861134 | + | 0.310152i | ||||
\(173\) | 90.7418 | + | 196.135i | 0.524519 | + | 1.13373i | 0.971031 | + | 0.238952i | \(0.0768039\pi\) |
−0.446512 | + | 0.894778i | \(0.647334\pi\) | |||||||
\(174\) | 273.969 | − | 140.366i | 1.57454 | − | 0.806701i | ||||
\(175\) | −355.804 | + | 78.3184i | −2.03317 | + | 0.447534i | ||||
\(176\) | − | 173.145i | − | 0.983776i | ||||||
\(177\) | 37.8192 | − | 172.912i | 0.213668 | − | 0.976906i | ||||
\(178\) | 3.12785 | 0.0175722 | ||||||||
\(179\) | −72.9996 | − | 331.641i | −0.407819 | − | 1.85274i | −0.513144 | − | 0.858303i | \(-0.671519\pi\) |
0.105325 | − | 0.994438i | \(-0.466412\pi\) | |||||||
\(180\) | −99.6717 | + | 200.491i | −0.553732 | + | 1.11384i | ||||
\(181\) | −187.859 | + | 86.9130i | −1.03790 | + | 0.480182i | −0.863424 | − | 0.504479i | \(-0.831684\pi\) |
−0.174474 | + | 0.984662i | \(0.555822\pi\) | |||||||
\(182\) | 168.785 | + | 46.8630i | 0.927392 | + | 0.257489i | ||||
\(183\) | −13.0632 | + | 10.7844i | −0.0713834 | + | 0.0589314i | ||||
\(184\) | −0.511863 | + | 0.484863i | −0.00278187 | + | 0.00263512i | ||||
\(185\) | 122.618 | + | 161.301i | 0.662801 | + | 0.871900i | ||||
\(186\) | 16.3475 | − | 5.25415i | 0.0878898 | − | 0.0282481i | ||||
\(187\) | −15.7185 | + | 289.910i | −0.0840559 | + | 1.55032i | ||||
\(188\) | −204.654 | + | 173.835i | −1.08859 | + | 0.924653i | ||||
\(189\) | −147.204 | − | 211.545i | −0.778855 | − | 1.11928i | ||||
\(190\) | 409.092 | − | 137.839i | 2.15312 | − | 0.725469i | ||||
\(191\) | −64.2905 | − | 43.5901i | −0.336600 | − | 0.228220i | 0.381163 | − | 0.924508i | \(-0.375524\pi\) |
−0.717763 | + | 0.696287i | \(0.754834\pi\) | |||||||
\(192\) | 20.4053 | + | 99.3124i | 0.106278 | + | 0.517252i | ||||
\(193\) | 184.098 | − | 216.737i | 0.953875 | − | 1.12299i | −0.0384407 | − | 0.999261i | \(-0.512239\pi\) |
0.992316 | − | 0.123728i | \(-0.0394851\pi\) | |||||||
\(194\) | −135.225 | + | 142.755i | −0.697034 | + | 0.735850i | ||||
\(195\) | 141.582 | − | 82.5069i | 0.726063 | − | 0.423112i | ||||
\(196\) | 48.7891 | + | 122.451i | 0.248924 | + | 0.624752i | ||||
\(197\) | −160.754 | + | 26.3543i | −0.816010 | + | 0.133778i | −0.555312 | − | 0.831642i | \(-0.687401\pi\) |
−0.260698 | + | 0.965420i | \(0.583953\pi\) | |||||||
\(198\) | −212.516 | + | 65.0318i | −1.07331 | + | 0.328443i | ||||
\(199\) | 92.2683 | + | 70.1406i | 0.463660 | + | 0.352465i | 0.810775 | − | 0.585357i | \(-0.199046\pi\) |
−0.347116 | + | 0.937822i | \(0.612839\pi\) | |||||||
\(200\) | 9.58528 | + | 88.1352i | 0.0479264 | + | 0.440676i | ||||
\(201\) | −115.962 | + | 241.700i | −0.576926 | + | 1.20249i | ||||
\(202\) | 352.569 | + | 212.134i | 1.74539 | + | 1.05017i | ||||
\(203\) | −189.106 | − | 314.297i | −0.931559 | − | 1.54826i | ||||
\(204\) | −43.6131 | − | 291.569i | −0.213790 | − | 1.42926i | ||||
\(205\) | −96.4082 | + | 241.966i | −0.470284 | + | 1.18032i | ||||
\(206\) | 13.6931 | − | 62.2084i | 0.0664714 | − | 0.301983i | ||||
\(207\) | 2.37682 | + | 1.34678i | 0.0114822 | + | 0.00650617i | ||||
\(208\) | 47.6278 | − | 119.537i | 0.228980 | − | 0.574696i | ||||
\(209\) | 166.198 | + | 88.1124i | 0.795204 | + | 0.421590i | ||||
\(210\) | 561.350 | + | 232.831i | 2.67310 | + | 1.10872i | ||||
\(211\) | −75.4581 | − | 45.4016i | −0.357621 | − | 0.215173i | 0.325393 | − | 0.945579i | \(-0.394504\pi\) |
−0.683014 | + | 0.730405i | \(0.739331\pi\) | |||||||
\(212\) | −56.8395 | + | 30.1344i | −0.268111 | + | 0.142143i | ||||
\(213\) | −275.345 | + | 253.594i | −1.29270 | + | 1.19058i | ||||
\(214\) | 50.9278 | + | 38.7143i | 0.237980 | + | 0.180908i | ||||
\(215\) | 116.354 | − | 78.8902i | 0.541183 | − | 0.366931i | ||||
\(216\) | −55.0488 | + | 30.0451i | −0.254856 | + | 0.139098i | ||||
\(217\) | −7.57317 | − | 19.0072i | −0.0348994 | − | 0.0875909i | ||||
\(218\) | 57.7104 | − | 530.639i | 0.264727 | − | 2.43412i | ||||
\(219\) | 10.6113 | − | 86.2977i | 0.0484532 | − | 0.394053i | ||||
\(220\) | 148.940 | − | 175.346i | 0.677002 | − | 0.797029i | ||||
\(221\) | −90.5989 | + | 195.826i | −0.409950 | + | 0.886092i | ||||
\(222\) | −8.19703 | − | 204.054i | −0.0369235 | − | 0.919164i | ||||
\(223\) | 67.3288 | − | 22.6857i | 0.301923 | − | 0.101730i | −0.164263 | − | 0.986417i | \(-0.552524\pi\) |
0.466185 | + | 0.884687i | \(0.345628\pi\) | |||||||
\(224\) | 374.359 | − | 103.940i | 1.67125 | − | 0.464019i | ||||
\(225\) | 315.684 | − | 135.442i | 1.40304 | − | 0.601965i | ||||
\(226\) | 24.3653 | − | 449.391i | 0.107811 | − | 1.98845i | ||||
\(227\) | 30.3016 | − | 89.9320i | 0.133487 | − | 0.396176i | −0.859975 | − | 0.510336i | \(-0.829521\pi\) |
0.993462 | + | 0.114160i | \(0.0364176\pi\) | |||||||
\(228\) | −183.314 | − | 53.6753i | −0.804009 | − | 0.235418i | ||||
\(229\) | 231.649 | − | 219.430i | 1.01157 | − | 0.958210i | 0.0124400 | − | 0.999923i | \(-0.496040\pi\) |
0.999130 | + | 0.0417130i | \(0.0132815\pi\) | |||||||
\(230\) | −6.43246 | + | 0.348758i | −0.0279672 | + | 0.00151634i | ||||
\(231\) | 94.5611 | + | 247.358i | 0.409355 | + | 1.07081i | ||||
\(232\) | −81.0088 | + | 37.4787i | −0.349176 | + | 0.161546i | ||||
\(233\) | 60.9032 | + | 9.98457i | 0.261387 | + | 0.0428522i | 0.291050 | − | 0.956708i | \(-0.405995\pi\) |
−0.0296633 | + | 0.999560i | \(0.509444\pi\) | |||||||
\(234\) | −164.607 | − | 13.5609i | −0.703449 | − | 0.0579525i | ||||
\(235\) | 681.804 | 2.90129 | ||||||||
\(236\) | 46.6693 | − | 178.684i | 0.197751 | − | 0.757134i | ||||
\(237\) | −129.255 | − | 175.072i | −0.545380 | − | 0.738700i | ||||
\(238\) | −781.488 | + | 172.019i | −3.28356 | + | 0.722767i | ||||
\(239\) | 35.9724 | + | 5.89738i | 0.150512 | + | 0.0246752i | 0.236567 | − | 0.971615i | \(-0.423978\pi\) |
−0.0860548 | + | 0.996290i | \(0.527426\pi\) | |||||||
\(240\) | 214.613 | − | 391.445i | 0.894221 | − | 1.63102i | ||||
\(241\) | 18.0106 | − | 64.8685i | 0.0747330 | − | 0.269164i | −0.916738 | − | 0.399488i | \(-0.869188\pi\) |
0.991471 | + | 0.130324i | \(0.0416018\pi\) | |||||||
\(242\) | −94.5963 | + | 5.12886i | −0.390894 | + | 0.0211936i | ||||
\(243\) | 173.735 | + | 169.897i | 0.714959 | + | 0.699166i | ||||
\(244\) | −14.0705 | + | 10.6961i | −0.0576659 | + | 0.0438364i | ||||
\(245\) | 106.868 | − | 317.172i | 0.436194 | − | 1.29458i | ||||
\(246\) | 219.333 | − | 144.266i | 0.891598 | − | 0.586447i | ||||
\(247\) | 90.5031 | + | 106.549i | 0.366409 | + | 0.431370i | ||||
\(248\) | −4.79739 | + | 1.33199i | −0.0193443 | + | 0.00537093i | ||||
\(249\) | −36.2574 | + | 51.8946i | −0.145612 | + | 0.208412i | ||||
\(250\) | −156.829 | + | 231.305i | −0.627315 | + | 0.925221i | ||||
\(251\) | −58.4016 | + | 126.233i | −0.232676 | + | 0.502920i | −0.988382 | − | 0.151991i | \(-0.951432\pi\) |
0.755706 | + | 0.654911i | \(0.227294\pi\) | |||||||
\(252\) | −144.606 | − | 226.708i | −0.573832 | − | 0.899633i | ||||
\(253\) | −2.03793 | − | 1.93043i | −0.00805506 | − | 0.00763016i | ||||
\(254\) | −30.1461 | + | 277.189i | −0.118685 | + | 1.09129i | ||||
\(255\) | −394.880 | + | 635.945i | −1.54855 | + | 2.49390i | ||||
\(256\) | −53.2202 | − | 324.629i | −0.207892 | − | 1.26808i | ||||
\(257\) | 341.941 | − | 231.842i | 1.33051 | − | 0.902108i | 0.331366 | − | 0.943502i | \(-0.392490\pi\) |
0.999143 | + | 0.0413945i | \(0.0131801\pi\) | |||||||
\(258\) | −141.675 | − | 1.98588i | −0.549129 | − | 0.00769719i | ||||
\(259\) | −241.912 | + | 26.3096i | −0.934025 | + | 0.101581i | ||||
\(260\) | 151.060 | − | 80.0870i | 0.581000 | − | 0.308027i | ||||
\(261\) | 230.711 | + | 257.654i | 0.883949 | + | 0.987180i | ||||
\(262\) | 239.786 | − | 144.275i | 0.915214 | − | 0.550666i | ||||
\(263\) | −58.1042 | − | 30.8049i | −0.220928 | − | 0.117129i | 0.354269 | − | 0.935144i | \(-0.384730\pi\) |
−0.575197 | + | 0.818015i | \(0.695075\pi\) | |||||||
\(264\) | 62.3277 | − | 16.3678i | 0.236090 | − | 0.0619994i | ||||
\(265\) | 159.533 | + | 35.1158i | 0.602010 | + | 0.132512i | ||||
\(266\) | −111.452 | + | 506.331i | −0.418992 | + | 1.90350i | ||||
\(267\) | 0.892579 | + | 3.39888i | 0.00334299 | + | 0.0127299i | ||||
\(268\) | −131.017 | + | 247.124i | −0.488869 | + | 0.922105i | ||||
\(269\) | 208.607 | + | 346.708i | 0.775492 | + | 1.28888i | 0.952461 | + | 0.304662i | \(0.0985434\pi\) |
−0.176968 | + | 0.984217i | \(0.556629\pi\) | |||||||
\(270\) | −561.063 | − | 116.390i | −2.07801 | − | 0.431075i | ||||
\(271\) | −156.410 | − | 295.021i | −0.577159 | − | 1.08864i | −0.984504 | − | 0.175363i | \(-0.943890\pi\) |
0.407344 | − | 0.913275i | \(-0.366455\pi\) | |||||||
\(272\) | 63.5529 | + | 584.359i | 0.233650 | + | 2.14838i | ||||
\(273\) | −2.75834 | + | 196.784i | −0.0101038 | + | 0.720821i | ||||
\(274\) | 97.3143 | + | 143.528i | 0.355162 | + | 0.523824i | ||||
\(275\) | −348.320 | + | 57.1042i | −1.26662 | + | 0.207652i | ||||
\(276\) | 2.42152 | + | 1.50360i | 0.00877363 | + | 0.00544784i | ||||
\(277\) | −158.282 | − | 17.2142i | −0.571414 | − | 0.0621451i | −0.182149 | − | 0.983271i | \(-0.558305\pi\) |
−0.389265 | + | 0.921126i | \(0.627271\pi\) | |||||||
\(278\) | 219.992 | − | 232.243i | 0.791340 | − | 0.835407i | ||||
\(279\) | 10.3745 | + | 16.2647i | 0.0371844 | + | 0.0582964i | ||||
\(280\) | −159.926 | − | 73.9898i | −0.571165 | − | 0.264249i | ||||
\(281\) | −45.8095 | − | 31.0596i | −0.163023 | − | 0.110533i | 0.476947 | − | 0.878932i | \(-0.341743\pi\) |
−0.639971 | + | 0.768399i | \(0.721054\pi\) | |||||||
\(282\) | −563.324 | − | 393.580i | −1.99760 | − | 1.39567i | ||||
\(283\) | −48.6661 | − | 175.279i | −0.171965 | − | 0.619362i | −0.998411 | − | 0.0563463i | \(-0.982055\pi\) |
0.826446 | − | 0.563016i | \(-0.190359\pi\) | |||||||
\(284\) | −297.678 | + | 252.850i | −1.04816 | + | 0.890316i | ||||
\(285\) | 266.524 | + | 405.207i | 0.935172 | + | 1.42178i | ||||
\(286\) | 160.828 | + | 54.1894i | 0.562337 | + | 0.189473i | ||||
\(287\) | −189.307 | − | 249.030i | −0.659608 | − | 0.867699i | ||||
\(288\) | −328.338 | + | 162.452i | −1.14006 | + | 0.564071i | ||||
\(289\) | −37.7161 | − | 695.632i | −0.130505 | − | 2.40703i | ||||
\(290\) | −785.811 | − | 218.179i | −2.70969 | − | 0.752343i | ||||
\(291\) | −193.714 | − | 106.205i | −0.665682 | − | 0.364966i | ||||
\(292\) | 14.6767 | − | 89.5240i | 0.0502627 | − | 0.306589i | ||||
\(293\) | 17.2431 | + | 78.3360i | 0.0588500 | + | 0.267358i | 0.996853 | − | 0.0792680i | \(-0.0252583\pi\) |
−0.938003 | + | 0.346626i | \(0.887327\pi\) | |||||||
\(294\) | −271.388 | + | 200.365i | −0.923088 | + | 0.681513i | ||||
\(295\) | −384.037 | + | 269.079i | −1.30182 | + | 0.912134i | ||||
\(296\) | 59.2146i | 0.200049i | ||||||||
\(297\) | −131.312 | − | 212.374i | −0.442127 | − | 0.715063i | ||||
\(298\) | 40.0388 | − | 244.226i | 0.134359 | − | 0.819551i | ||||
\(299\) | −0.875947 | − | 1.89333i | −0.00292959 | − | 0.00633220i | ||||
\(300\) | 334.784 | − | 127.983i | 1.11595 | − | 0.426609i | ||||
\(301\) | 9.14033 | + | 168.583i | 0.0303665 | + | 0.560078i | ||||
\(302\) | 78.0309 | + | 82.3762i | 0.258380 | + | 0.272769i | ||||
\(303\) | −129.905 | + | 443.656i | −0.428728 | + | 1.46421i | ||||
\(304\) | 360.906 | + | 121.603i | 1.18719 | + | 0.400011i | ||||
\(305\) | 44.8119 | + | 2.42963i | 0.146924 | + | 0.00796601i | ||||
\(306\) | 693.367 | − | 297.485i | 2.26591 | − | 0.972173i | ||||
\(307\) | 153.204 | + | 551.789i | 0.499034 | + | 1.79736i | 0.597085 | + | 0.802178i | \(0.296325\pi\) |
−0.0980507 | + | 0.995181i | \(0.531261\pi\) | |||||||
\(308\) | 88.2241 | + | 261.840i | 0.286442 | + | 0.850129i | ||||
\(309\) | 71.5065 | − | 2.87247i | 0.231413 | − | 0.00929604i | ||||
\(310\) | −41.2865 | − | 19.1012i | −0.133182 | − | 0.0616167i | ||||
\(311\) | 42.1309 | + | 35.7863i | 0.135469 | + | 0.115069i | 0.712559 | − | 0.701612i | \(-0.247536\pi\) |
−0.577090 | + | 0.816681i | \(0.695812\pi\) | |||||||
\(312\) | 47.5326 | + | 5.84466i | 0.152348 | + | 0.0187329i | ||||
\(313\) | −131.301 | − | 14.2798i | −0.419491 | − | 0.0456224i | −0.104060 | − | 0.994571i | \(-0.533183\pi\) |
−0.315431 | + | 0.948949i | \(0.602149\pi\) | |||||||
\(314\) | 238.581 | − | 95.0592i | 0.759811 | − | 0.302736i | ||||
\(315\) | −92.8169 | + | 676.435i | −0.294657 | + | 2.14741i | ||||
\(316\) | −127.421 | − | 187.932i | −0.403231 | − | 0.594721i | ||||
\(317\) | 165.215 | − | 217.337i | 0.521184 | − | 0.685606i | −0.457914 | − | 0.888997i | \(-0.651403\pi\) |
0.979098 | + | 0.203391i | \(0.0651962\pi\) | |||||||
\(318\) | −111.539 | − | 121.106i | −0.350752 | − | 0.380836i | ||||
\(319\) | −166.460 | − | 313.977i | −0.521818 | − | 0.984253i | ||||
\(320\) | 138.479 | − | 230.154i | 0.432747 | − | 0.719231i | ||||
\(321\) | −27.5360 | + | 66.3886i | −0.0857819 | + | 0.206818i | ||||
\(322\) | 3.62390 | − | 6.83540i | 0.0112543 | − | 0.0212279i | ||||
\(323\) | −593.255 | − | 236.374i | −1.83670 | − | 0.731809i | ||||
\(324\) | 174.010 | + | 184.400i | 0.537067 | + | 0.569136i | ||||
\(325\) | −256.184 | − | 56.3903i | −0.788258 | − | 0.173509i | ||||
\(326\) | −293.932 | − | 117.113i | −0.901631 | − | 0.359243i | ||||
\(327\) | 593.089 | − | 88.7147i | 1.81373 | − | 0.271299i | ||||
\(328\) | −65.2248 | + | 39.2445i | −0.198856 | + | 0.119648i | ||||
\(329\) | −422.154 | + | 701.625i | −1.28314 | + | 2.13260i | ||||
\(330\) | 530.849 | + | 254.690i | 1.60863 | + | 0.771787i | ||||
\(331\) | −543.502 | + | 59.1094i | −1.64200 | + | 0.178578i | −0.881968 | − | 0.471309i | \(-0.843782\pi\) |
−0.760031 | + | 0.649887i | \(0.774816\pi\) | |||||||
\(332\) | −39.9729 | + | 52.5835i | −0.120400 | + | 0.158384i | ||||
\(333\) | 219.397 | − | 67.1374i | 0.658850 | − | 0.201614i | ||||
\(334\) | 74.9834 | + | 457.378i | 0.224501 | + | 1.36940i | ||||
\(335\) | 659.772 | − | 262.877i | 1.96947 | − | 0.784708i | ||||
\(336\) | 269.943 | + | 463.224i | 0.803401 | + | 1.37864i | ||||
\(337\) | −394.194 | − | 373.401i | −1.16972 | − | 1.10801i | −0.992297 | − | 0.123879i | \(-0.960467\pi\) |
−0.177419 | − | 0.984135i | \(-0.556775\pi\) | |||||||
\(338\) | −247.812 | − | 210.494i | −0.733173 | − | 0.622763i | ||||
\(339\) | 495.285 | − | 101.764i | 1.46102 | − | 0.300189i | ||||
\(340\) | −438.310 | + | 646.458i | −1.28915 | + | 1.90135i | ||||
\(341\) | −6.32947 | − | 18.7852i | −0.0185615 | − | 0.0550886i | ||||
\(342\) | 13.7015 | − | 488.646i | 0.0400628 | − | 1.42879i | ||||
\(343\) | −42.5697 | − | 50.1169i | −0.124110 | − | 0.146113i | ||||
\(344\) | 41.0235 | + | 2.22423i | 0.119254 | + | 0.00646578i | ||||
\(345\) | −2.21458 | − | 6.89033i | −0.00641908 | − | 0.0199720i | ||||
\(346\) | −459.394 | + | 349.222i | −1.32773 | + | 1.00931i | ||||
\(347\) | 137.752 | + | 145.423i | 0.396980 | + | 0.419086i | 0.893588 | − | 0.448889i | \(-0.148180\pi\) |
−0.496608 | + | 0.867975i | \(0.665421\pi\) | |||||||
\(348\) | 229.734 | + | 278.276i | 0.660154 | + | 0.799643i | ||||
\(349\) | 6.14129 | − | 22.1189i | 0.0175968 | − | 0.0633780i | −0.954230 | − | 0.299073i | \(-0.903323\pi\) |
0.971827 | + | 0.235695i | \(0.0757365\pi\) | |||||||
\(350\) | −408.478 | − | 882.911i | −1.16708 | − | 2.52260i | ||||
\(351\) | −32.2372 | − | 182.741i | −0.0918439 | − | 0.520629i | ||||
\(352\) | 367.614 | − | 80.9181i | 1.04436 | − | 0.229881i | ||||
\(353\) | − | 136.972i | − | 0.388023i | −0.980999 | − | 0.194012i | \(-0.937850\pi\) | ||
0.980999 | − | 0.194012i | \(-0.0621499\pi\) | |||||||
\(354\) | 472.630 | − | 0.630395i | 1.33511 | − | 0.00178078i | ||||
\(355\) | 991.711 | 2.79355 | ||||||||
\(356\) | 0.788202 | + | 3.58084i | 0.00221405 | + | 0.0100585i | ||||
\(357\) | −409.934 | − | 800.119i | −1.14828 | − | 2.24123i | ||||
\(358\) | 822.950 | − | 380.737i | 2.29874 | − | 1.06351i | ||||
\(359\) | −231.925 | − | 64.3936i | −0.646030 | − | 0.179369i | −0.0709671 | − | 0.997479i | \(-0.522609\pi\) |
−0.575063 | + | 0.818109i | \(0.695022\pi\) | |||||||
\(360\) | 161.198 | + | 40.2508i | 0.447773 | + | 0.111808i | ||||
\(361\) | −38.3032 | + | 36.2827i | −0.106103 | + | 0.100506i | ||||
\(362\) | −334.487 | − | 440.010i | −0.923998 | − | 1.21550i | ||||
\(363\) | −32.5678 | − | 101.330i | −0.0897185 | − | 0.279145i | ||||
\(364\) | −11.1169 | + | 205.039i | −0.0305409 | + | 0.563294i | ||||
\(365\) | −175.563 | + | 149.124i | −0.480994 | + | 0.408560i | ||||
\(366\) | −35.6222 | − | 27.8757i | −0.0973285 | − | 0.0761630i | ||||
\(367\) | −224.010 | + | 75.4779i | −0.610382 | + | 0.205662i | −0.607481 | − | 0.794334i | \(-0.707820\pi\) |
−0.00290114 | + | 0.999996i | \(0.500923\pi\) | |||||||
\(368\) | −4.70387 | − | 3.18930i | −0.0127823 | − | 0.00866658i | ||||
\(369\) | 219.357 | + | 197.170i | 0.594464 | + | 0.534337i | ||||
\(370\) | −350.257 | + | 412.354i | −0.946640 | + | 1.11447i | ||||
\(371\) | −134.915 | + | 142.428i | −0.363652 | + | 0.383902i | ||||
\(372\) | 10.1346 | + | 17.3910i | 0.0272435 | + | 0.0467500i | ||||
\(373\) | −112.262 | − | 281.756i | −0.300970 | − | 0.755379i | −0.999219 | − | 0.0395230i | \(-0.987416\pi\) |
0.698248 | − | 0.715856i | \(-0.253963\pi\) | |||||||
\(374\) | −765.050 | + | 125.424i | −2.04559 | + | 0.335357i | ||||
\(375\) | −296.102 | − | 104.412i | −0.789605 | − | 0.278432i | ||||
\(376\) | 158.627 | + | 120.585i | 0.421881 | + | 0.320705i | ||||
\(377\) | −28.5545 | − | 262.554i | −0.0757414 | − | 0.696431i | ||||
\(378\) | 467.168 | − | 505.309i | 1.23590 | − | 1.33680i | ||||
\(379\) | 181.751 | + | 109.356i | 0.479555 | + | 0.288539i | 0.734734 | − | 0.678355i | \(-0.237307\pi\) |
−0.255179 | + | 0.966894i | \(0.582135\pi\) | |||||||
\(380\) | 260.891 | + | 433.604i | 0.686555 | + | 1.14106i | ||||
\(381\) | −309.811 | + | 46.3418i | −0.813152 | + | 0.121632i | ||||
\(382\) | 76.7702 | − | 192.679i | 0.200969 | − | 0.504394i | ||||
\(383\) | −43.6446 | + | 198.280i | −0.113955 | + | 0.517701i | 0.884715 | + | 0.466133i | \(0.154353\pi\) |
−0.998669 | + | 0.0515686i | \(0.983578\pi\) | |||||||
\(384\) | 198.851 | − | 88.6364i | 0.517842 | − | 0.230824i | ||||
\(385\) | 259.679 | − | 651.744i | 0.674490 | − | 1.69284i | ||||
\(386\) | 670.883 | + | 355.680i | 1.73804 | + | 0.921450i | ||||
\(387\) | −38.2713 | − | 154.519i | −0.0988922 | − | 0.399273i | ||||
\(388\) | −197.506 | − | 118.835i | −0.509035 | − | 0.306276i | ||||
\(389\) | 77.5468 | − | 41.1127i | 0.199349 | − | 0.105688i | −0.365743 | − | 0.930716i | \(-0.619185\pi\) |
0.565093 | + | 0.825027i | \(0.308840\pi\) | |||||||
\(390\) | 296.433 | + | 321.858i | 0.760084 | + | 0.825277i | ||||
\(391\) | 7.58653 | + | 5.76713i | 0.0194029 | + | 0.0147497i | ||||
\(392\) | 80.9592 | − | 54.8917i | 0.206529 | − | 0.140030i | ||||
\(393\) | 225.203 | + | 219.393i | 0.573036 | + | 0.558253i | ||||
\(394\) | −161.003 | − | 404.086i | −0.408636 | − | 1.02560i | ||||
\(395\) | −62.3335 | + | 573.147i | −0.157806 | + | 1.45101i | ||||
\(396\) | −128.003 | − | 226.906i | −0.323240 | − | 0.572996i | ||||
\(397\) | −326.467 | + | 384.346i | −0.822334 | + | 0.968126i | −0.999872 | − | 0.0159876i | \(-0.994911\pi\) |
0.177538 | + | 0.984114i | \(0.443187\pi\) | |||||||
\(398\) | −129.949 | + | 280.880i | −0.326504 | + | 0.705728i | ||||
\(399\) | −582.010 | + | 23.3798i | −1.45867 | + | 0.0585961i | ||||
\(400\) | −677.205 | + | 228.177i | −1.69301 | + | 0.570442i | ||||
\(401\) | −312.119 | + | 86.6595i | −0.778353 | + | 0.216109i | −0.633912 | − | 0.773405i | \(-0.718552\pi\) |
−0.144440 | + | 0.989514i | \(0.546138\pi\) | |||||||
\(402\) | −696.870 | − | 163.666i | −1.73351 | − | 0.407129i | ||||
\(403\) | 0.797561 | − | 14.7101i | 0.00197906 | − | 0.0365016i | ||||
\(404\) | −154.010 | + | 457.087i | −0.381214 | + | 1.13140i | ||||
\(405\) | −33.6323 | − | 642.895i | −0.0830426 | − | 1.58740i | ||||
\(406\) | 711.074 | − | 673.565i | 1.75141 | − | 1.65903i | ||||
\(407\) | −235.411 | + | 12.7636i | −0.578405 | + | 0.0313602i | ||||
\(408\) | −204.347 | + | 78.1185i | −0.500849 | + | 0.191467i | ||||
\(409\) | 288.161 | − | 133.318i | 0.704551 | − | 0.325960i | −0.0346927 | − | 0.999398i | \(-0.511045\pi\) |
0.739244 | + | 0.673438i | \(0.235183\pi\) | |||||||
\(410\) | −686.341 | − | 112.520i | −1.67400 | − | 0.274439i | ||||
\(411\) | −128.195 | + | 146.705i | −0.311910 | + | 0.356946i | ||||
\(412\) | 74.6684 | 0.181234 | ||||||||
\(413\) | −39.1173 | − | 561.807i | −0.0947149 | − | 1.36031i | ||||
\(414\) | −2.14779 | + | 6.97136i | −0.00518789 | + | 0.0168390i | ||||
\(415\) | 163.794 | − | 36.0538i | 0.394684 | − | 0.0868766i | ||||
\(416\) | 276.055 | + | 45.2569i | 0.663593 | + | 0.108791i | ||||
\(417\) | 315.146 | + | 172.781i | 0.755746 | + | 0.414344i | ||||
\(418\) | −134.379 | + | 483.989i | −0.321480 | + | 1.15787i | ||||
\(419\) | 496.188 | − | 26.9025i | 1.18422 | − | 0.0642065i | 0.548516 | − | 0.836140i | \(-0.315193\pi\) |
0.635703 | + | 0.771933i | \(0.280710\pi\) | |||||||
\(420\) | −125.094 | + | 701.321i | −0.297842 | + | 1.66981i | ||||
\(421\) | 403.048 | − | 306.389i | 0.957358 | − | 0.727765i | −0.00487597 | − | 0.999988i | \(-0.501552\pi\) |
0.962234 | + | 0.272223i | \(0.0877590\pi\) | |||||||
\(422\) | 75.0839 | − | 222.841i | 0.177924 | − | 0.528060i | ||||
\(423\) | 266.932 | − | 724.452i | 0.631044 | − | 1.71265i | ||||
\(424\) | 30.9059 | + | 36.3853i | 0.0728913 | + | 0.0858143i | ||||
\(425\) | 1154.61 | − | 320.577i | 2.71673 | − | 0.754298i | ||||
\(426\) | −819.377 | − | 572.478i | −1.92342 | − | 1.34384i | ||||
\(427\) | −30.2465 | + | 44.6103i | −0.0708350 | + | 0.104474i | ||||
\(428\) | −31.4876 | + | 68.0593i | −0.0735691 | + | 0.159017i | ||||
\(429\) | −12.9902 | + | 190.228i | −0.0302802 | + | 0.443423i | ||||
\(430\) | 272.520 | + | 258.145i | 0.633767 | + | 0.600336i | ||||
\(431\) | −32.9435 | + | 302.910i | −0.0764349 | + | 0.702808i | 0.891743 | + | 0.452543i | \(0.149483\pi\) |
−0.968177 | + | 0.250265i | \(0.919482\pi\) | |||||||
\(432\) | −331.908 | − | 381.291i | −0.768306 | − | 0.882619i | ||||
\(433\) | 38.2686 | + | 233.428i | 0.0883801 | + | 0.539095i | 0.993490 | + | 0.113918i | \(0.0363400\pi\) |
−0.905110 | + | 0.425177i | \(0.860212\pi\) | |||||||
\(434\) | 45.2199 | − | 30.6599i | 0.104193 | − | 0.0706448i | ||||
\(435\) | 12.8420 | − | 916.166i | 0.0295218 | − | 2.10613i | ||||
\(436\) | 622.032 | − | 67.6500i | 1.42668 | − | 0.155161i | ||||
\(437\) | 5.45511 | − | 2.89212i | 0.0124831 | − | 0.00661812i | ||||
\(438\) | 231.138 | − | 21.8646i | 0.527713 | − | 0.0499191i | ||||
\(439\) | 190.207 | − | 114.444i | 0.433274 | − | 0.260692i | −0.282167 | − | 0.959365i | \(-0.591053\pi\) |
0.715441 | + | 0.698673i | \(0.246226\pi\) | |||||||
\(440\) | −150.835 | − | 79.9677i | −0.342807 | − | 0.181745i | ||||
\(441\) | −295.172 | − | 237.728i | −0.669324 | − | 0.539065i | ||||
\(442\) | −562.682 | − | 123.856i | −1.27304 | − | 0.280216i | ||||
\(443\) | −88.8461 | + | 403.632i | −0.200556 | + | 0.911133i | 0.763578 | + | 0.645715i | \(0.223441\pi\) |
−0.964134 | + | 0.265417i | \(0.914490\pi\) | |||||||
\(444\) | 231.541 | − | 60.8049i | 0.521489 | − | 0.136948i | ||||
\(445\) | 4.36084 | − | 8.22541i | 0.00979963 | − | 0.0184841i | ||||
\(446\) | 97.8079 | + | 162.558i | 0.219300 | + | 0.364480i | ||||
\(447\) | 276.815 | − | 26.1854i | 0.619273 | − | 0.0585802i | ||||
\(448\) | 151.102 | + | 285.010i | 0.337282 | + | 0.636182i | ||||
\(449\) | −33.4925 | − | 307.959i | −0.0745936 | − | 0.685877i | −0.970412 | − | 0.241456i | \(-0.922375\pi\) |
0.895818 | − | 0.444421i | \(-0.146590\pi\) | |||||||
\(450\) | 534.415 | + | 745.494i | 1.18759 | + | 1.65665i | ||||
\(451\) | −170.078 | − | 250.846i | −0.377112 | − | 0.556199i | ||||
\(452\) | 520.614 | − | 85.3504i | 1.15180 | − | 0.188828i | ||||
\(453\) | −67.2470 | + | 108.300i | −0.148448 | + | 0.239072i | ||||
\(454\) | 251.918 | + | 27.3978i | 0.554887 | + | 0.0603475i | ||||
\(455\) | 358.558 | − | 378.525i | 0.788039 | − | 0.831922i | ||||
\(456\) | −9.65670 | + | 141.413i | −0.0211770 | + | 0.310115i | ||||
\(457\) | −570.439 | − | 263.913i | −1.24823 | − | 0.577491i | −0.319264 | − | 0.947666i | \(-0.603436\pi\) |
−0.928962 | + | 0.370175i | \(0.879298\pi\) | |||||||
\(458\) | 705.202 | + | 478.139i | 1.53974 | + | 1.04397i | ||||
\(459\) | 521.126 | + | 668.558i | 1.13535 | + | 1.45655i | ||||
\(460\) | −2.02022 | − | 7.27616i | −0.00439178 | − | 0.0158177i | ||||
\(461\) | 204.431 | − | 173.645i | 0.443451 | − | 0.376671i | −0.397660 | − | 0.917533i | \(-0.630178\pi\) |
0.841111 | + | 0.540862i | \(0.181902\pi\) | |||||||
\(462\) | −590.781 | + | 388.585i | −1.27875 | + | 0.841093i | ||||
\(463\) | 429.573 | + | 144.740i | 0.927802 | + | 0.312613i | 0.742328 | − | 0.670036i | \(-0.233721\pi\) |
0.185474 | + | 0.982649i | \(0.440618\pi\) | |||||||
\(464\) | −435.410 | − | 572.772i | −0.938383 | − | 1.23442i | ||||
\(465\) | 8.97461 | − | 50.3150i | 0.0193002 | − | 0.108204i | ||||
\(466\) | 8.92190 | + | 164.555i | 0.0191457 | + | 0.353122i | ||||
\(467\) | 510.318 | + | 141.689i | 1.09276 | + | 0.303403i | 0.766738 | − | 0.641960i | \(-0.221878\pi\) |
0.326020 | + | 0.945363i | \(0.394292\pi\) | |||||||
\(468\) | −25.9554 | − | 191.864i | −0.0554602 | − | 0.409965i | ||||
\(469\) | −137.993 | + | 841.718i | −0.294228 | + | 1.79471i | ||||
\(470\) | 391.370 | + | 1778.01i | 0.832701 | + | 3.78300i | ||||
\(471\) | 171.379 | + | 232.128i | 0.363862 | + | 0.492840i | ||||
\(472\) | −136.939 | − | 5.31802i | −0.290125 | − | 0.0112670i | ||||
\(473\) | 163.571i | 0.345815i | ||||||||
\(474\) | 382.358 | − | 437.566i | 0.806662 | − | 0.923135i | ||||
\(475\) | 125.604 | − | 766.151i | 0.264430 | − | 1.61295i | ||||
\(476\) | −393.863 | − | 851.320i | −0.827443 | − | 1.78849i | ||||
\(477\) | 99.7707 | − | 155.764i | 0.209163 | − | 0.326548i | ||||
\(478\) | 5.26971 | + | 97.1941i | 0.0110245 | + | 0.203335i | ||||
\(479\) | −105.744 | − | 111.633i | −0.220760 | − | 0.233054i | 0.606203 | − | 0.795310i | \(-0.292692\pi\) |
−0.826963 | + | 0.562257i | \(0.809933\pi\) | |||||||
\(480\) | 931.401 | + | 272.719i | 1.94042 | + | 0.568165i | ||||
\(481\) | −166.036 | − | 55.9439i | −0.345188 | − | 0.116308i | ||||
\(482\) | 179.503 | + | 9.73235i | 0.372412 | + | 0.0201916i | ||||
\(483\) | 8.46185 | + | 1.98734i | 0.0175194 | + | 0.00411457i | ||||
\(484\) | −29.7095 | − | 107.004i | −0.0613832 | − | 0.221082i | ||||
\(485\) | 186.878 | + | 554.634i | 0.385315 | + | 1.14358i | ||||
\(486\) | −343.331 | + | 550.591i | −0.706443 | + | 1.13290i | ||||
\(487\) | −8.08201 | − | 3.73914i | −0.0165955 | − | 0.00767790i | 0.411574 | − | 0.911376i | \(-0.364979\pi\) |
−0.428169 | + | 0.903699i | \(0.640841\pi\) | |||||||
\(488\) | 9.99614 | + | 8.49080i | 0.0204839 | + | 0.0173992i | ||||
\(489\) | 43.3834 | − | 352.822i | 0.0887186 | − | 0.721517i | ||||
\(490\) | 888.465 | + | 96.6264i | 1.81319 | + | 0.197197i | ||||
\(491\) | −61.8947 | + | 24.6611i | −0.126058 | + | 0.0502263i | −0.432314 | − | 0.901723i | \(-0.642303\pi\) |
0.306256 | + | 0.951949i | \(0.400924\pi\) | |||||||
\(492\) | 220.430 | + | 214.744i | 0.448029 | + | 0.436471i | ||||
\(493\) | 677.043 | + | 998.564i | 1.37331 | + | 2.02549i | ||||
\(494\) | −225.907 | + | 297.175i | −0.457301 | + | 0.601569i | ||||
\(495\) | −125.273 | + | 649.529i | −0.253077 | + | 1.31218i | ||||
\(496\) | −18.7985 | − | 35.4578i | −0.0379003 | − | 0.0714875i | ||||
\(497\) | −614.039 | + | 1020.54i | −1.23549 | + | 2.05340i | ||||
\(498\) | −156.143 | − | 64.7635i | −0.313541 | − | 0.130047i | ||||
\(499\) | −234.419 | + | 442.161i | −0.469777 | + | 0.886094i | 0.529508 | + | 0.848305i | \(0.322376\pi\) |
−0.999286 | + | 0.0377893i | \(0.987968\pi\) | |||||||
\(500\) | −304.324 | − | 121.254i | −0.608649 | − | 0.242508i | ||||
\(501\) | −475.614 | + | 212.001i | −0.949330 | + | 0.423156i | ||||
\(502\) | −362.714 | − | 79.8394i | −0.722538 | − | 0.159043i | ||||
\(503\) | −843.055 | − | 335.904i | −1.67605 | − | 0.667801i | −0.678299 | − | 0.734786i | \(-0.737283\pi\) |
−0.997754 | + | 0.0669855i | \(0.978662\pi\) | |||||||
\(504\) | −141.230 | + | 140.962i | −0.280219 | + | 0.279687i | ||||
\(505\) | 1049.41 | − | 631.407i | 2.07803 | − | 1.25031i | ||||
\(506\) | 3.86436 | − | 6.42262i | 0.00763708 | − | 0.0126929i | ||||
\(507\) | 158.017 | − | 329.354i | 0.311670 | − | 0.649613i | ||||
\(508\) | −324.930 | + | 35.3382i | −0.639625 | + | 0.0695634i | ||||
\(509\) | −1.25888 | + | 1.65603i | −0.00247325 | + | 0.00325350i | −0.797328 | − | 0.603546i | \(-0.793754\pi\) |
0.794855 | + | 0.606800i | \(0.207547\pi\) | |||||||
\(510\) | −1885.09 | − | 664.723i | −3.69625 | − | 1.30338i | ||||
\(511\) | −44.7561 | − | 273.000i | −0.0875853 | − | 0.534247i | ||||
\(512\) | 546.354 | − | 217.687i | 1.06710 | − | 0.425170i | ||||
\(513\) | 534.899 | − | 124.554i | 1.04269 | − | 0.242795i | ||||
\(514\) | 800.878 | + | 758.632i | 1.55813 | + | 1.47594i | ||||
\(515\) | −144.501 | − | 122.740i | −0.280584 | − | 0.238330i | ||||
\(516\) | −33.4280 | − | 162.694i | −0.0647830 | − | 0.315299i | ||||
\(517\) | −445.202 | + | 656.623i | −0.861125 | + | 1.27006i | ||||
\(518\) | −207.473 | − | 615.757i | −0.400527 | − | 1.18872i | ||||
\(519\) | −510.579 | − | 399.546i | −0.983774 | − | 0.769839i | ||||
\(520\) | −82.1374 | − | 96.6997i | −0.157957 | − | 0.185961i | ||||
\(521\) | −603.086 | − | 32.6983i | −1.15755 | − | 0.0627607i | −0.534660 | − | 0.845067i | \(-0.679560\pi\) |
−0.622894 | + | 0.782306i | \(0.714043\pi\) | |||||||
\(522\) | −539.478 | + | 749.546i | −1.03348 | + | 1.43591i | ||||
\(523\) | −417.320 | + | 317.238i | −0.797934 | + | 0.606574i | −0.922659 | − | 0.385617i | \(-0.873988\pi\) |
0.124724 | + | 0.992191i | \(0.460195\pi\) | |||||||
\(524\) | 225.594 | + | 238.157i | 0.430523 | + | 0.454498i | ||||
\(525\) | 842.852 | − | 695.826i | 1.60543 | − | 1.32538i | ||||
\(526\) | 46.9800 | − | 169.207i | 0.0893157 | − | 0.321686i | ||||
\(527\) | 28.2569 | + | 61.0764i | 0.0536185 | + | 0.115894i | ||||
\(528\) | 236.851 | + | 462.291i | 0.448582 | + | 0.875552i | ||||
\(529\) | 516.542 | − | 113.700i | 0.976450 | − | 0.214933i | ||||
\(530\) | 436.187i | 0.822994i | ||||||||
\(531\) | 135.557 | + | 513.405i | 0.255287 | + | 0.966865i | ||||
\(532\) | −607.746 | −1.14238 | ||||||||
\(533\) | −48.4179 | − | 219.965i | −0.0908404 | − | 0.412692i | ||||
\(534\) | −8.35126 | + | 4.27870i | −0.0156391 | + | 0.00801254i | ||||
\(535\) | 172.812 | − | 79.9513i | 0.323013 | − | 0.149442i | ||||
\(536\) | 199.994 | + | 55.5281i | 0.373124 | + | 0.103597i | ||||
\(537\) | 648.571 | + | 785.612i | 1.20777 | + | 1.46296i | ||||
\(538\) | −784.401 | + | 743.025i | −1.45800 | + | 1.38109i | ||||
\(539\) | 235.676 | + | 310.026i | 0.437246 | + | 0.575188i | ||||
\(540\) | −8.13870 | − | 671.650i | −0.0150717 | − | 1.24380i | ||||
\(541\) | 10.4697 | − | 193.103i | 0.0193526 | − | 0.356937i | −0.972779 | − | 0.231736i | \(-0.925560\pi\) |
0.992131 | − | 0.125201i | \(-0.0399577\pi\) | |||||||
\(542\) | 679.573 | − | 577.235i | 1.25383 | − | 1.06501i | ||||
\(543\) | 382.688 | − | 489.035i | 0.704765 | − | 0.900617i | ||||
\(544\) | −1210.99 | + | 408.030i | −2.22608 | + | 0.750054i | ||||
\(545\) | −1314.98 | − | 891.579i | −2.41281 | − | 1.63592i | ||||
\(546\) | −514.758 | + | 105.765i | −0.942779 | + | 0.193709i | ||||
\(547\) | 15.3897 | − | 18.1181i | 0.0281347 | − | 0.0331228i | −0.747915 | − | 0.663795i | \(-0.768945\pi\) |
0.776049 | + | 0.630672i | \(0.217221\pi\) | |||||||
\(548\) | −139.792 | + | 147.576i | −0.255094 | + | 0.269300i | ||||
\(549\) | 20.1258 | − | 46.6638i | 0.0366591 | − | 0.0849977i | ||||
\(550\) | −348.859 | − | 875.571i | −0.634290 | − | 1.59195i | ||||
\(551\) | 771.368 | − | 126.459i | 1.39994 | − | 0.229509i | ||||
\(552\) | 0.703398 | − | 1.99477i | 0.00127427 | − | 0.00361371i | ||||
\(553\) | −551.214 | − | 419.022i | −0.996771 | − | 0.757725i | ||||
\(554\) | −45.9658 | − | 422.649i | −0.0829708 | − | 0.762904i | ||||
\(555\) | −548.038 | − | 262.936i | −0.987455 | − | 0.473759i | ||||
\(556\) | 321.315 | + | 193.329i | 0.577905 | + | 0.347714i | ||||
\(557\) | 188.784 | + | 313.761i | 0.338929 | + | 0.563305i | 0.978709 | − | 0.205254i | \(-0.0658020\pi\) |
−0.639780 | + | 0.768558i | \(0.720974\pi\) | |||||||
\(558\) | −36.4600 | + | 36.3908i | −0.0653405 | + | 0.0652165i | ||||
\(559\) | −44.9942 | + | 112.927i | −0.0804906 | + | 0.202016i | ||||
\(560\) | 305.340 | − | 1387.17i | 0.545250 | − | 2.47710i | ||||
\(561\) | −354.611 | − | 795.553i | −0.632105 | − | 1.41810i | ||||
\(562\) | 54.7018 | − | 137.291i | 0.0973341 | − | 0.244290i | ||||
\(563\) | −920.840 | − | 488.198i | −1.63559 | − | 0.867137i | −0.995067 | − | 0.0992017i | \(-0.968371\pi\) |
−0.640527 | − | 0.767936i | \(-0.721284\pi\) | |||||||
\(564\) | 308.625 | − | 744.088i | 0.547208 | − | 1.31931i | ||||
\(565\) | −1147.81 | − | 690.614i | −2.03152 | − | 1.22233i | ||||
\(566\) | 429.159 | − | 227.525i | 0.758231 | − | 0.401988i | ||||
\(567\) | 682.409 | + | 363.452i | 1.20354 | + | 0.641010i | ||||
\(568\) | 230.730 | + | 175.396i | 0.406214 | + | 0.308796i | ||||
\(569\) | −478.264 | + | 324.271i | −0.840534 | + | 0.569896i | −0.903729 | − | 0.428105i | \(-0.859181\pi\) |
0.0631950 | + | 0.998001i | \(0.479871\pi\) | |||||||
\(570\) | −903.708 | + | 927.639i | −1.58545 | + | 1.62744i | ||||
\(571\) | −154.998 | − | 389.015i | −0.271449 | − | 0.681286i | 0.728544 | − | 0.684999i | \(-0.240197\pi\) |
−0.999993 | + | 0.00371279i | \(0.998818\pi\) | |||||||
\(572\) | −21.5094 | + | 197.776i | −0.0376039 | + | 0.345762i | ||||
\(573\) | 231.282 | + | 28.4387i | 0.403634 | + | 0.0496313i | ||||
\(574\) | 540.754 | − | 636.624i | 0.942079 | − | 1.10910i | ||||
\(575\) | −4.86465 | + | 10.5148i | −0.00846026 | + | 0.0182865i | ||||
\(576\) | −190.335 | − | 237.248i | −0.330442 | − | 0.411889i | ||||
\(577\) | 976.330 | − | 328.964i | 1.69208 | − | 0.570128i | 0.702193 | − | 0.711987i | \(-0.252204\pi\) |
0.989887 | + | 0.141859i | \(0.0453078\pi\) | |||||||
\(578\) | 1792.42 | − | 497.663i | 3.10107 | − | 0.861009i | ||||
\(579\) | −195.054 | + | 830.516i | −0.336880 | + | 1.43440i | ||||
\(580\) | 51.7568 | − | 954.598i | 0.0892358 | − | 1.64586i | ||||
\(581\) | −64.3146 | + | 190.879i | −0.110696 | + | 0.328535i | ||||
\(582\) | 165.766 | − | 566.130i | 0.284821 | − | 0.972733i | ||||
\(583\) | −137.990 | + | 130.711i | −0.236689 | + | 0.224204i | ||||
\(584\) | −67.2205 | + | 3.64459i | −0.115104 | + | 0.00624074i | ||||
\(585\) | −265.157 | + | 413.967i | −0.453259 | + | 0.707636i | ||||
\(586\) | −194.387 | + | 89.9329i | −0.331718 | + | 0.153469i | ||||
\(587\) | 234.252 | + | 38.4037i | 0.399067 | + | 0.0654236i | 0.357974 | − | 0.933732i | \(-0.383468\pi\) |
0.0410929 | + | 0.999155i | \(0.486916\pi\) | |||||||
\(588\) | −297.771 | − | 260.201i | −0.506414 | − | 0.442519i | ||||
\(589\) | 43.6016 | 0.0740264 | ||||||||
\(590\) | −922.151 | − | 847.034i | −1.56297 | − | 1.43565i | ||||
\(591\) | 393.157 | − | 290.266i | 0.665241 | − | 0.491145i | ||||
\(592\) | −466.147 | + | 102.607i | −0.787410 | + | 0.173322i | ||||
\(593\) | 768.482 | + | 125.986i | 1.29592 | + | 0.212456i | 0.769982 | − | 0.638066i | \(-0.220265\pi\) |
0.525940 | + | 0.850522i | \(0.323714\pi\) | |||||||
\(594\) | 478.453 | − | 464.342i | 0.805476 | − | 0.781720i | ||||
\(595\) | −637.186 | + | 2294.94i | −1.07090 | + | 3.85704i | ||||
\(596\) | 289.686 | − | 15.7063i | 0.486050 | − | 0.0263529i | ||||
\(597\) | −342.302 | − | 61.0559i | −0.573370 | − | 0.102271i | ||||
\(598\) | 4.43461 | − | 3.37111i | 0.00741574 | − | 0.00563730i | ||||
\(599\) | 280.008 | − | 831.035i | 0.467460 | − | 1.38737i | −0.411907 | − | 0.911226i | \(-0.635137\pi\) |
0.879367 | − | 0.476145i | \(-0.157966\pi\) | |||||||
\(600\) | −146.156 | − | 222.206i | −0.243593 | − | 0.370344i | ||||
\(601\) | 295.249 | + | 347.594i | 0.491263 | + | 0.578359i | 0.950802 | − | 0.309798i | \(-0.100261\pi\) |
−0.459540 | + | 0.888157i | \(0.651986\pi\) | |||||||
\(602\) | −434.386 | + | 120.607i | −0.721571 | + | 0.200343i | ||||
\(603\) | −21.0147 | − | 803.960i | −0.0348503 | − | 1.33327i | ||||
\(604\) | −74.6430 | + | 110.090i | −0.123581 | + | 0.182269i | ||||
\(605\) | −118.398 | + | 255.914i | −0.195700 | + | 0.422998i | ||||
\(606\) | −1231.53 | − | 84.0982i | −2.03223 | − | 0.138776i | ||||
\(607\) | 358.334 | + | 339.432i | 0.590335 | + | 0.559195i | 0.923464 | − | 0.383686i | \(-0.125346\pi\) |
−0.333128 | + | 0.942882i | \(0.608104\pi\) | |||||||
\(608\) | −89.5168 | + | 823.094i | −0.147232 | + | 1.35377i | ||||
\(609\) | 934.848 | + | 580.479i | 1.53505 | + | 0.953167i | ||||
\(610\) | 19.3870 | + | 118.255i | 0.0317819 | + | 0.193861i | ||||
\(611\) | −487.982 | + | 330.860i | −0.798662 | + | 0.541506i | ||||
\(612\) | 515.294 | + | 718.820i | 0.841983 | + | 1.17454i | ||||
\(613\) | −230.025 | + | 25.0167i | −0.375244 | + | 0.0408102i | −0.293798 | − | 0.955868i | \(-0.594919\pi\) |
−0.0814459 | + | 0.996678i | \(0.525954\pi\) | |||||||
\(614\) | −1351.02 | + | 716.263i | −2.20035 | + | 1.16655i | ||||
\(615\) | −73.5879 | − | 777.924i | −0.119655 | − | 1.26492i | ||||
\(616\) | 175.685 | − | 105.706i | 0.285203 | − | 0.171601i | ||||
\(617\) | 636.956 | + | 337.693i | 1.03234 | + | 0.547314i | 0.896328 | − | 0.443393i | \(-0.146225\pi\) |
0.136016 | + | 0.990707i | \(0.456570\pi\) | |||||||
\(618\) | 48.5371 | + | 184.826i | 0.0785389 | + | 0.299071i | ||||
\(619\) | 40.2554 | + | 8.86088i | 0.0650329 | + | 0.0143148i | 0.247368 | − | 0.968922i | \(-0.420434\pi\) |
−0.182335 | + | 0.983237i | \(0.558365\pi\) | |||||||
\(620\) | 11.4635 | − | 52.0793i | 0.0184895 | − | 0.0839989i | ||||
\(621\) | −8.18836 | − | 0.344511i | −0.0131858 | − | 0.000554769i | ||||
\(622\) | −69.1396 | + | 130.411i | −0.111157 | + | 0.209664i | ||||
\(623\) | 5.76443 | + | 9.58055i | 0.00925269 | + | 0.0153781i | ||||
\(624\) | 36.3541 | + | 384.312i | 0.0582597 | + | 0.615884i | ||||
\(625\) | −57.3343 | − | 108.144i | −0.0917349 | − | 0.173030i | ||||
\(626\) | −38.1304 | − | 350.603i | −0.0609111 | − | 0.560069i | ||||
\(627\) | −564.275 | − | 7.90949i | −0.899960 | − | 0.0126148i | ||||
\(628\) | 168.947 | + | 249.179i | 0.269025 | + | 0.396782i | ||||
\(629\) | 789.821 | − | 129.485i | 1.25568 | − | 0.205858i | ||||
\(630\) | −1817.29 | + | 146.240i | −2.88458 | + | 0.232127i | ||||
\(631\) | 30.3350 | + | 3.29913i | 0.0480745 | + | 0.00522842i | 0.132125 | − | 0.991233i | \(-0.457820\pi\) |
−0.0840502 | + | 0.996462i | \(0.526786\pi\) | |||||||
\(632\) | −115.870 | + | 122.323i | −0.183339 | + | 0.193549i | ||||
\(633\) | 263.577 | + | 17.9990i | 0.416394 | + | 0.0284345i | ||||
\(634\) | 661.609 | + | 306.093i | 1.04355 | + | 0.482796i | ||||
\(635\) | 686.904 | + | 465.732i | 1.08174 | + | 0.733437i | ||||
\(636\) | 110.538 | − | 158.211i | 0.173802 | − | 0.248759i | ||||
\(637\) | 77.4270 | + | 278.867i | 0.121549 | + | 0.437781i | ||||
\(638\) | 723.237 | − | 614.323i | 1.13360 | − | 0.962889i | ||||
\(639\) | 388.263 | − | 1053.74i | 0.607610 | − | 1.64905i | ||||
\(640\) | −546.586 | − | 184.166i | −0.854040 | − | 0.287760i | ||||
\(641\) | 487.930 | + | 641.861i | 0.761201 | + | 1.00134i | 0.999545 | + | 0.0301622i | \(0.00960239\pi\) |
−0.238344 | + | 0.971181i | \(0.576605\pi\) | |||||||
\(642\) | −188.935 | − | 33.7000i | −0.294291 | − | 0.0524922i | ||||
\(643\) | 34.9387 | + | 644.406i | 0.0543370 | + | 1.00219i | 0.890867 | + | 0.454265i | \(0.150098\pi\) |
−0.836530 | + | 0.547922i | \(0.815419\pi\) | |||||||
\(644\) | 8.73855 | + | 2.42625i | 0.0135692 | + | 0.00376746i | ||||
\(645\) | −202.746 | + | 369.800i | −0.314335 | + | 0.573334i | ||||
\(646\) | 275.877 | − | 1682.77i | 0.427054 | − | 2.60491i | ||||
\(647\) | −2.24026 | − | 10.1776i | −0.00346253 | − | 0.0157304i | 0.974858 | − | 0.222829i | \(-0.0715291\pi\) |
−0.978320 | + | 0.207098i | \(0.933598\pi\) | |||||||
\(648\) | 105.879 | − | 155.523i | 0.163393 | − | 0.240005i | ||||
\(649\) | −8.37492 | − | 545.556i | −0.0129043 | − | 0.840610i | ||||
\(650\) | − | 700.446i | − | 1.07761i | ||||||
\(651\) | 46.2208 | + | 40.3891i | 0.0709998 | + | 0.0620416i | ||||
\(652\) | 60.0047 | − | 366.013i | 0.0920318 | − | 0.561369i | ||||
\(653\) | 61.3449 | + | 132.595i | 0.0939432 | + | 0.203055i | 0.948850 | − | 0.315726i | \(-0.102248\pi\) |
−0.854907 | + | 0.518781i | \(0.826386\pi\) | |||||||
\(654\) | 571.796 | + | 1495.73i | 0.874305 | + | 2.28706i | ||||
\(655\) | −45.0947 | − | 831.722i | −0.0688468 | − | 1.26980i | ||||
\(656\) | −421.960 | − | 445.458i | −0.643232 | − | 0.679051i | ||||
\(657\) | 89.7181 | + | 244.928i | 0.136557 | + | 0.372797i | ||||
\(658\) | −2072.02 | − | 698.146i | −3.14897 | − | 1.06101i | ||||
\(659\) | −775.337 | − | 42.0376i | −1.17654 | − | 0.0637900i | −0.544522 | − | 0.838747i | \(-0.683289\pi\) |
−0.632014 | + | 0.774957i | \(0.717772\pi\) | |||||||
\(660\) | −157.804 | + | 671.911i | −0.239097 | + | 1.01805i | ||||
\(661\) | 25.0205 | + | 90.1158i | 0.0378525 | + | 0.136332i | 0.980062 | − | 0.198692i | \(-0.0636693\pi\) |
−0.942210 | + | 0.335024i | \(0.891255\pi\) | |||||||
\(662\) | −466.127 | − | 1383.41i | −0.704119 | − | 2.08975i | ||||
\(663\) | −25.9818 | − | 646.784i | −0.0391883 | − | 0.975542i | ||||
\(664\) | 44.4845 | + | 20.5807i | 0.0669948 | + | 0.0309951i | ||||
\(665\) | 1176.13 | + | 999.014i | 1.76862 | + | 1.50228i | ||||
\(666\) | 301.019 | + | 533.606i | 0.451981 | + | 0.801210i | ||||
\(667\) | −11.5961 | − | 1.26115i | −0.0173854 | − | 0.00189078i | ||||
\(668\) | −504.723 | + | 201.100i | −0.755574 | + | 0.301048i | ||||
\(669\) | −148.733 | + | 152.672i | −0.222322 | + | 0.228209i | ||||
\(670\) | 1064.25 | + | 1569.66i | 1.58844 | + | 2.34277i | ||||
\(671\) | −31.6010 | + | 41.5704i | −0.0470954 | + | 0.0619529i | ||||
\(672\) | −857.344 | + | 789.618i | −1.27581 | + | 1.17503i | ||||
\(673\) | −265.993 | − | 501.716i | −0.395235 | − | 0.745492i | 0.603415 | − | 0.797427i | \(-0.293806\pi\) |
−0.998650 | + | 0.0519345i | \(0.983461\pi\) | |||||||
\(674\) | 747.479 | − | 1242.32i | 1.10902 | − | 1.84321i | ||||
\(675\) | −657.590 | + | 793.462i | −0.974207 | + | 1.17550i | ||||
\(676\) | 178.531 | − | 336.746i | 0.264099 | − | 0.498144i | ||||
\(677\) | −1127.65 | − | 449.297i | −1.66566 | − | 0.663659i | −0.668843 | − | 0.743404i | \(-0.733210\pi\) |
−0.996815 | + | 0.0797451i | \(0.974589\pi\) | |||||||
\(678\) | 549.684 | + | 1233.19i | 0.810744 | + | 1.81886i | ||||
\(679\) | −686.467 | − | 151.103i | −1.01100 | − | 0.222537i | ||||
\(680\) | 538.417 | + | 214.525i | 0.791789 | + | 0.315478i | ||||
\(681\) | 42.1170 | + | 281.566i | 0.0618457 | + | 0.413460i | ||||
\(682\) | 45.3548 | − | 27.2891i | 0.0665027 | − | 0.0400133i | ||||
\(683\) | 559.401 | − | 929.731i | 0.819035 | − | 1.36125i | −0.111018 | − | 0.993818i | \(-0.535411\pi\) |
0.930052 | − | 0.367428i | \(-0.119761\pi\) | |||||||
\(684\) | 562.868 | − | 107.451i | 0.822906 | − | 0.157092i | ||||
\(685\) | 513.116 | − | 55.8047i | 0.749074 | − | 0.0814667i | ||||
\(686\) | 106.259 | − | 139.781i | 0.154897 | − | 0.203763i | ||||
\(687\) | −318.331 | + | 902.754i | −0.463363 | + | 1.31405i | ||||
\(688\) | 53.5757 | + | 326.797i | 0.0778717 | + | 0.474996i | ||||
\(689\) | −131.222 | + | 52.2836i | −0.190453 | + | 0.0758832i | ||||
\(690\) | 16.6974 | − | 9.73038i | 0.0241991 | − | 0.0141020i | ||||
\(691\) | −804.228 | − | 761.806i | −1.16386 | − | 1.10247i | −0.993114 | − | 0.117154i | \(-0.962623\pi\) |
−0.170748 | − | 0.985315i | \(-0.554618\pi\) | |||||||
\(692\) | −515.564 | − | 437.924i | −0.745035 | − | 0.632838i | ||||
\(693\) | −590.846 | − | 531.085i | −0.852591 | − | 0.766356i | ||||
\(694\) | −300.162 | + | 442.705i | −0.432510 | + | 0.637904i | ||||
\(695\) | −304.025 | − | 902.315i | −0.437447 | − | 1.29830i | ||||
\(696\) | 165.023 | − | 210.882i | 0.237102 | − | 0.302991i | ||||
\(697\) | 666.081 | + | 784.172i | 0.955640 | + | 1.12507i | ||||
\(698\) | 61.2070 | + | 3.31855i | 0.0876892 | + | 0.00475437i | ||||
\(699\) | −176.268 | + | 56.6533i | −0.252172 | + | 0.0810491i | ||||
\(700\) | 907.845 | − | 690.126i | 1.29692 | − | 0.985894i | ||||
\(701\) | 219.908 | + | 232.154i | 0.313706 | + | 0.331175i | 0.863712 | − | 0.503985i | \(-0.168133\pi\) |
−0.550006 | + | 0.835160i | \(0.685375\pi\) | |||||||
\(702\) | 458.047 | − | 188.965i | 0.652488 | − | 0.269181i | ||||
\(703\) | 138.730 | − | 499.660i | 0.197340 | − | 0.710753i | ||||
\(704\) | 131.230 | + | 283.650i | 0.186407 | + | 0.402911i | ||||
\(705\) | −1820.40 | + | 932.666i | −2.58212 | + | 1.32293i | ||||
\(706\) | 357.196 | − | 78.6248i | 0.505944 | − | 0.111367i | ||||
\(707\) | 1470.86i | 2.08043i | ||||||||
\(708\) | 119.822 | + | 540.921i | 0.169241 | + | 0.764012i | ||||
\(709\) | 856.218 | 1.20764 | 0.603821 | − | 0.797120i | \(-0.293644\pi\) | ||||
0.603821 | + | 0.797120i | \(0.293644\pi\) | |||||||
\(710\) | 569.263 | + | 2586.19i | 0.801779 | + | 3.64252i | ||||
\(711\) | 584.595 | + | 290.624i | 0.822215 | + | 0.408754i | ||||
\(712\) | 2.46935 | − | 1.14244i | 0.00346818 | − | 0.00160455i | ||||
\(713\) | −0.626931 | − | 0.174066i | −0.000879286 | − | 0.000244132i | ||||
\(714\) | 1851.24 | − | 1528.31i | 2.59277 | − | 2.14049i | ||||
\(715\) | 366.730 | − | 347.385i | 0.512910 | − | 0.485854i | ||||
\(716\) | 643.257 | + | 846.190i | 0.898404 | + | 1.18183i | ||||
\(717\) | −104.113 | + | 33.4622i | −0.145206 | + | 0.0466697i | ||||
\(718\) | 34.7961 | − | 641.777i | 0.0484626 | − | 0.893840i | ||||
\(719\) | 627.407 | − | 532.924i | 0.872611 | − | 0.741202i | −0.0945091 | − | 0.995524i | \(-0.530128\pi\) |
0.967120 | + | 0.254322i | \(0.0818523\pi\) | |||||||
\(720\) | −37.5374 | + | 1338.73i | −0.0521353 | + | 1.85934i | ||||
\(721\) | 215.779 | − | 72.7045i | 0.299278 | − | 0.100838i | ||||
\(722\) | −116.605 | − | 79.0602i | −0.161503 | − | 0.109502i | ||||
\(723\) | 40.6482 | + | 197.834i | 0.0562215 | + | 0.273630i | ||||
\(724\) | 419.446 | − | 493.810i | 0.579345 | − | 0.682058i | ||||
\(725\) | −1008.66 | + | 1064.83i | −1.39126 | + | 1.46873i | ||||
\(726\) | 245.553 | − | 143.096i | 0.338228 | − | 0.197102i | ||||
\(727\) | 40.2144 | + | 100.930i | 0.0553155 | + | 0.138831i | 0.954037 | − | 0.299688i | \(-0.0968825\pi\) |
−0.898722 | + | 0.438519i | \(0.855503\pi\) | |||||||
\(728\) | 150.368 | − | 24.6516i | 0.206549 | − | 0.0338621i | ||||
\(729\) | −696.277 | − | 215.962i | −0.955112 | − | 0.296245i | ||||
\(730\) | −489.663 | − | 372.232i | −0.670772 | − | 0.509907i | ||||
\(731\) | −60.0387 | − | 552.047i | −0.0821323 | − | 0.755194i | ||||
\(732\) | 22.9362 | − | 47.8058i | 0.0313335 | − | 0.0653085i | ||||
\(733\) | −158.965 | − | 95.6463i | −0.216869 | − | 0.130486i | 0.402974 | − | 0.915211i | \(-0.367976\pi\) |
−0.619844 | + | 0.784725i | \(0.712804\pi\) | |||||||
\(734\) | −325.418 | − | 540.849i | −0.443349 | − | 0.736851i | ||||
\(735\) | 148.538 | + | 993.027i | 0.202092 | + | 1.35106i | ||||
\(736\) | 4.57309 | − | 11.4776i | 0.00621343 | − | 0.0155945i | ||||
\(737\) | −177.647 | + | 807.057i | −0.241040 | + | 1.09506i | ||||
\(738\) | −388.266 | + | 685.220i | −0.526106 | + | 0.928483i | ||||
\(739\) | −469.819 | + | 1179.16i | −0.635750 | + | 1.59561i | 0.158049 | + | 0.987431i | \(0.449480\pi\) |
−0.793799 | + | 0.608181i | \(0.791900\pi\) | |||||||
\(740\) | −560.337 | − | 297.072i | −0.757212 | − | 0.401449i | ||||
\(741\) | −387.392 | − | 160.679i | −0.522797 | − | 0.216840i | ||||
\(742\) | −448.867 | − | 270.075i | −0.604942 | − | 0.363982i | ||||
\(743\) | 963.404 | − | 510.765i | 1.29664 | − | 0.687435i | 0.330099 | − | 0.943946i | \(-0.392918\pi\) |
0.966541 | + | 0.256511i | \(0.0825729\pi\) | |||||||
\(744\) | 10.9868 | − | 10.1189i | 0.0147672 | − | 0.0136007i | ||||
\(745\) | −586.428 | − | 445.791i | −0.787152 | − | 0.598378i | ||||
\(746\) | 670.324 | − | 454.491i | 0.898557 | − | 0.609237i | ||||
\(747\) | 25.8176 | − | 188.155i | 0.0345617 | − | 0.251881i | ||||
\(748\) | −336.377 | − | 844.243i | −0.449702 | − | 1.12867i | ||||
\(749\) | −24.7246 | + | 227.339i | −0.0330102 | + | 0.303524i | ||||
\(750\) | 102.317 | − | 832.110i | 0.136423 | − | 1.10948i | ||||
\(751\) | −412.003 | + | 485.048i | −0.548606 | + | 0.645869i | −0.964668 | − | 0.263467i | \(-0.915134\pi\) |
0.416062 | + | 0.909336i | \(0.363410\pi\) | |||||||
\(752\) | −674.398 | + | 1457.69i | −0.896806 | + | 1.93841i | ||||
\(753\) | −16.7483 | − | 416.928i | −0.0222421 | − | 0.553689i | ||||
\(754\) | 668.299 | − | 225.176i | 0.886338 | − | 0.298642i | ||||
\(755\) | 325.418 | − | 90.3519i | 0.431018 | − | 0.119671i | ||||
\(756\) | 696.215 | + | 407.491i | 0.920919 | + | 0.539010i | ||||
\(757\) | −34.8181 | + | 642.182i | −0.0459948 | + | 0.848324i | 0.880969 | + | 0.473174i | \(0.156892\pi\) |
−0.926964 | + | 0.375151i | \(0.877591\pi\) | |||||||
\(758\) | −180.850 | + | 536.744i | −0.238588 | + | 0.708105i | ||||
\(759\) | 8.08192 | + | 2.36643i | 0.0106481 | + | 0.00311783i | ||||
\(760\) | 272.621 | − | 258.240i | 0.358712 | − | 0.339790i | ||||
\(761\) | −49.8486 | + | 2.70271i | −0.0655041 | + | 0.00355153i | −0.0868618 | − | 0.996220i | \(-0.527684\pi\) |
0.0213577 | + | 0.999772i | \(0.493201\pi\) | |||||||
\(762\) | −298.688 | − | 781.324i | −0.391979 | − | 1.02536i | ||||
\(763\) | 1731.70 | − | 801.168i | 2.26959 | − | 1.05002i | ||||
\(764\) | 239.929 | + | 39.3344i | 0.314043 | + | 0.0514848i | ||||
\(765\) | 184.384 | − | 2238.13i | 0.241025 | − | 2.92566i | ||||
\(766\) | −542.127 | −0.707738 | ||||||||
\(767\) | 144.287 | − | 378.948i | 0.188119 | − | 0.494066i | ||||
\(768\) | 586.169 | + | 793.948i | 0.763241 | + | 1.03379i | ||||
\(769\) | 10.0841 | − | 2.21969i | 0.0131133 | − | 0.00288646i | −0.208409 | − | 0.978042i | \(-0.566828\pi\) |
0.221522 | + | 0.975155i | \(0.428897\pi\) | |||||||
\(770\) | 1848.68 | + | 303.076i | 2.40088 | + | 0.393605i | ||||
\(771\) | −595.827 | + | 1086.76i | −0.772798 | + | 1.40955i | ||||
\(772\) | −238.132 | + | 857.674i | −0.308461 | + | 1.11098i | ||||
\(773\) | −1162.93 | + | 63.0524i | −1.50444 | + | 0.0815685i | −0.787825 | − | 0.615899i | \(-0.788793\pi\) |
−0.716617 | + | 0.697467i | \(0.754310\pi\) | |||||||
\(774\) | 380.986 | − | 188.501i | 0.492229 | − | 0.243541i | ||||
\(775\) | −65.1316 | + | 49.5118i | −0.0840408 | + | 0.0638861i | ||||
\(776\) | −54.6150 | + | 162.092i | −0.0703802 | + | 0.208881i | ||||
\(777\) | 609.909 | − | 401.167i | 0.784954 | − | 0.516302i | ||||
\(778\) | 151.727 | + | 178.627i | 0.195022 | + | 0.229598i | ||||
\(779\) | 642.318 | − | 178.339i | 0.824541 | − | 0.228933i | ||||
\(780\) | −293.772 | + | 420.471i | −0.376631 | + | 0.539065i | ||||
\(781\) | −647.564 | + | 955.085i | −0.829147 | + | 1.22290i | ||||
\(782\) | −10.6847 | + | 23.0946i | −0.0136633 | + | 0.0295328i | ||||
\(783\) | −968.445 | − | 372.331i | −1.23684 | − | 0.475519i | ||||
\(784\) | 572.402 | + | 542.208i | 0.730105 | + | 0.691592i | ||||
\(785\) | 82.6480 | − | 759.936i | 0.105284 | − | 0.968071i | ||||
\(786\) | −442.863 | + | 713.222i | −0.563440 | + | 0.907407i | ||||
\(787\) | −0.436373 | − | 2.66176i | −0.000554477 | − | 0.00338216i | 0.986548 | − | 0.163473i | \(-0.0522696\pi\) |
−0.987102 | + | 0.160091i | \(0.948821\pi\) | |||||||
\(788\) | 422.037 | − | 286.148i | 0.535580 | − | 0.363132i | ||||
\(789\) | 197.276 | + | 2.76523i | 0.250032 | + | 0.00350473i | ||||
\(790\) | −1530.44 | + | 166.445i | −1.93726 | + | 0.210690i | ||||
\(791\) | 1421.38 | − | 753.569i | 1.79694 | − | 0.952679i | ||||
\(792\) | −144.023 | + | 128.962i | −0.181847 | + | 0.162831i | ||||
\(793\) | −33.2519 | + | 20.0070i | −0.0419318 | + | 0.0252295i | ||||
\(794\) | −1189.70 | − | 630.737i | −1.49836 | − | 0.794380i | ||||
\(795\) | −473.984 | + | 124.473i | −0.596206 | + | 0.156569i | ||||
\(796\) | −354.305 | − | 77.9884i | −0.445107 | − | 0.0979754i | ||||
\(797\) | −324.335 | + | 1473.47i | −0.406944 | + | 1.84877i | 0.111653 | + | 0.993747i | \(0.464386\pi\) |
−0.518597 | + | 0.855019i | \(0.673545\pi\) | |||||||
\(798\) | −395.056 | − | 1504.35i | −0.495058 | − | 1.88515i | ||||
\(799\) | 1261.53 | − | 2379.50i | 1.57889 | − | 2.97810i | ||||
\(800\) | −800.944 | − | 1331.18i | −1.00118 | − | 1.66397i | ||||
\(801\) | −7.03262 | − | 7.85393i | −0.00877980 | − | 0.00980515i | ||||
\(802\) | −405.154 | − | 764.201i | −0.505179 | − | 0.952869i | ||||
\(803\) | −28.9785 | − | 266.453i | −0.0360879 | − | 0.331822i | ||||
\(804\) | 11.7609 | − | 839.038i | 0.0146279 | − | 1.04358i | ||||
\(805\) | −12.9229 | − | 19.0598i | −0.0160533 | − | 0.0236768i | ||||
\(806\) | 38.8189 | − | 6.36404i | 0.0481625 | − | 0.00789584i | ||||
\(807\) | −1031.25 | − | 640.339i | −1.27788 | − | 0.793481i | ||||
\(808\) | 355.825 | + | 38.6983i | 0.440377 | + | 0.0478939i | ||||
\(809\) | −484.977 | + | 511.984i | −0.599477 | + | 0.632860i | −0.953146 | − | 0.302511i | \(-0.902175\pi\) |
0.353669 | + | 0.935371i | \(0.384934\pi\) | |||||||
\(810\) | 1657.24 | − | 456.741i | 2.04597 | − | 0.563878i | ||||
\(811\) | 218.094 | + | 100.901i | 0.268920 | + | 0.124416i | 0.549716 | − | 0.835352i | \(-0.314736\pi\) |
−0.280795 | + | 0.959768i | \(0.590598\pi\) | |||||||
\(812\) | 950.303 | + | 644.321i | 1.17032 | + | 0.793499i | ||||
\(813\) | 821.181 | + | 573.738i | 1.01006 | + | 0.705705i | ||||
\(814\) | −168.416 | − | 606.579i | −0.206899 | − | 0.745183i | ||||
\(815\) | −717.776 | + | 609.684i | −0.880707 | + | 0.748079i | ||||
\(816\) | −969.051 | − | 1473.29i | −1.18756 | − | 1.80550i | ||||
\(817\) | −340.950 | − | 114.879i | −0.417319 | − | 0.140611i | ||||
\(818\) | 513.077 | + | 674.941i | 0.627233 | + | 0.825111i | ||||
\(819\) | −261.824 | − | 529.181i | −0.319687 | − | 0.646131i | ||||
\(820\) | −44.1390 | − | 814.095i | −0.0538280 | − | 0.992799i | ||||
\(821\) | −786.761 | − | 218.443i | −0.958296 | − | 0.266070i | −0.247042 | − | 0.969005i | \(-0.579459\pi\) |
−0.711254 | + | 0.702935i | \(0.751872\pi\) | |||||||
\(822\) | −456.163 | − | 250.095i | −0.554943 | − | 0.304252i | ||||
\(823\) | −130.161 | + | 793.948i | −0.158155 | + | 0.964700i | 0.781832 | + | 0.623489i | \(0.214285\pi\) |
−0.939987 | + | 0.341211i | \(0.889163\pi\) | |||||||
\(824\) | −11.9112 | − | 54.1132i | −0.0144554 | − | 0.0656714i | ||||
\(825\) | 851.890 | − | 628.947i | 1.03259 | − | 0.762360i | ||||
\(826\) | 1442.63 | − | 424.499i | 1.74652 | − | 0.513921i | ||||
\(827\) | 65.1681i | 0.0788006i | 0.999224 | + | 0.0394003i | \(0.0125448\pi\) | ||||
−0.999224 | + | 0.0394003i | \(0.987455\pi\) | |||||||
\(828\) | −8.52223 | − | 0.702090i | −0.0102925 | − | 0.000847935i | ||||
\(829\) | −186.780 | + | 1139.31i | −0.225307 | + | 1.37431i | 0.595613 | + | 0.803272i | \(0.296909\pi\) |
−0.820920 | + | 0.571043i | \(0.806539\pi\) | |||||||
\(830\) | 188.042 | + | 406.447i | 0.226557 | + | 0.489695i | ||||
\(831\) | 446.156 | − | 170.558i | 0.536890 | − | 0.205245i | ||||
\(832\) | 12.5747 | + | 231.926i | 0.0151138 | + | 0.278758i | ||||
\(833\) | −909.195 | − | 959.826i | −1.09147 | − | 1.15225i | ||||
\(834\) | −269.679 | + | 921.019i | −0.323356 | + | 1.10434i | ||||
\(835\) | 1307.33 | + | 440.490i | 1.56566 | + | 0.527533i | ||||
\(836\) | −587.946 | − | 31.8775i | −0.703284 | − | 0.0381310i | ||||
\(837\) | −49.9486 | − | 29.2347i | −0.0596758 | − | 0.0349279i | ||||
\(838\) | 354.979 | + | 1278.52i | 0.423602 | + | 1.52568i | ||||
\(839\) | 167.284 | + | 496.480i | 0.199384 | + | 0.591752i | 0.999972 | − | 0.00746359i | \(-0.00237576\pi\) |
−0.800588 | + | 0.599216i | \(0.795479\pi\) | |||||||
\(840\) | 528.212 | − | 21.2187i | 0.628824 | − | 0.0252604i | ||||
\(841\) | −576.949 | − | 266.925i | −0.686027 | − | 0.317390i | ||||
\(842\) | 1030.36 | + | 875.195i | 1.22370 | + | 1.03942i | ||||
\(843\) | 164.798 | + | 20.2637i | 0.195490 | + | 0.0240376i | ||||
\(844\) | 274.035 | + | 29.8031i | 0.324686 | + | 0.0353118i | ||||
\(845\) | −899.043 | + | 358.212i | −1.06396 | + | 0.423919i | ||||
\(846\) | 2042.45 | + | 280.254i | 2.41424 | + | 0.331270i | ||||
\(847\) | −190.045 | − | 280.295i | −0.224374 | − | 0.330927i | ||||
\(848\) | −232.877 | + | 306.344i | −0.274619 | + | 0.361255i | ||||
\(849\) | 369.708 | + | 401.419i | 0.435463 | + | 0.472814i | ||||
\(850\) | 1498.77 | + | 2826.98i | 1.76326 | + | 3.32586i | ||||
\(851\) | −3.98949 | + | 6.63058i | −0.00468800 | + | 0.00779151i | ||||
\(852\) | 448.908 | − | 1082.31i | 0.526888 | − | 1.27031i | ||||
\(853\) | 202.476 | − | 381.909i | 0.237369 | − | 0.447725i | −0.735996 | − | 0.676985i | \(-0.763286\pi\) |
0.973365 | + | 0.229261i | \(0.0736308\pi\) | |||||||
\(854\) | −133.697 | − | 53.2697i | −0.156554 | − | 0.0623767i | ||||
\(855\) | −1265.91 | − | 717.301i | −1.48060 | − | 0.838949i | ||||
\(856\) | 54.3464 | + | 11.9626i | 0.0634888 | + | 0.0139749i | ||||
\(857\) | 1206.76 | + | 480.817i | 1.40812 | + | 0.561047i | 0.945533 | − | 0.325527i | \(-0.105542\pi\) |
0.462588 | + | 0.886573i | \(0.346921\pi\) | |||||||
\(858\) | −503.534 | + | 75.3191i | −0.586870 | + | 0.0877845i | ||||
\(859\) | −409.242 | + | 246.233i | −0.476417 | + | 0.286651i | −0.733440 | − | 0.679755i | \(-0.762086\pi\) |
0.257022 | + | 0.966405i | \(0.417259\pi\) | |||||||
\(860\) | −226.857 | + | 377.039i | −0.263787 | + | 0.438418i | ||||
\(861\) | 846.102 | + | 405.941i | 0.982697 | + | 0.471476i | ||||
\(862\) | −808.840 | + | 87.9666i | −0.938329 | + | 0.102049i | ||||
\(863\) | 443.575 | − | 583.513i | 0.513992 | − | 0.676145i | −0.463747 | − | 0.885968i | \(-0.653495\pi\) |
0.977740 | + | 0.209822i | \(0.0672885\pi\) | |||||||
\(864\) | 654.429 | − | 882.890i | 0.757440 | − | 1.02186i | ||||
\(865\) | 277.876 | + | 1694.97i | 0.321244 | + | 1.95950i | ||||
\(866\) | −586.767 | + | 233.789i | −0.677560 | + | 0.269965i | ||||
\(867\) | 1052.28 | + | 1805.72i | 1.21371 | + | 2.08273i | ||||
\(868\) | 46.4954 | + | 44.0428i | 0.0535661 | + | 0.0507405i | ||||
\(869\) | −511.277 | − | 434.283i | −0.588351 | − | 0.499750i | ||||
\(870\) | 2396.55 | − | 492.409i | 2.75465 | − | 0.565987i | ||||
\(871\) | −344.647 | + | 508.316i | −0.395691 | + | 0.583600i | ||||
\(872\) | −148.254 | − | 440.003i | −0.170016 | − | 0.504591i | ||||
\(873\) | 662.491 | + | 18.5761i | 0.758868 | + | 0.0212784i | ||||
\(874\) | 10.6734 | + | 12.5657i | 0.0122121 | + | 0.0143772i | ||||
\(875\) | −997.511 | − | 54.0835i | −1.14001 | − | 0.0618097i | ||||
\(876\) | 83.2769 | + | 259.103i | 0.0950650 | + | 0.295780i | ||||
\(877\) | 280.493 | − | 213.225i | 0.319832 | − | 0.243130i | −0.432923 | − | 0.901431i | \(-0.642518\pi\) |
0.752755 | + | 0.658301i | \(0.228725\pi\) | |||||||
\(878\) | 407.630 | + | 430.330i | 0.464271 | + | 0.490125i | ||||
\(879\) | −153.197 | − | 185.567i | −0.174286 | − | 0.211112i | ||||
\(880\) | 368.152 | − | 1325.96i | 0.418355 | − | 1.50678i | ||||
\(881\) | −425.234 | − | 919.127i | −0.482672 | − | 1.04328i | −0.984024 | − | 0.178034i | \(-0.943026\pi\) |
0.501353 | − | 0.865243i | \(-0.332836\pi\) | |||||||
\(882\) | 450.512 | − | 906.210i | 0.510784 | − | 1.02745i | ||||
\(883\) | −1002.02 | + | 220.560i | −1.13479 | + | 0.249785i | −0.742362 | − | 0.669999i | \(-0.766294\pi\) |
−0.392424 | + | 0.919784i | \(0.628363\pi\) | |||||||
\(884\) | − | 675.384i | − | 0.764009i | ||||||
\(885\) | 657.283 | − | 1243.77i | 0.742692 | − | 1.40539i | ||||
\(886\) | −1103.59 | −1.24559 | ||||||||
\(887\) | −159.997 | − | 726.871i | −0.180379 | − | 0.819472i | −0.976702 | − | 0.214600i | \(-0.931155\pi\) |
0.796323 | − | 0.604872i | \(-0.206776\pi\) | |||||||
\(888\) | −81.0019 | − | 158.101i | −0.0912184 | − | 0.178042i | ||||
\(889\) | −904.583 | + | 418.505i | −1.01753 | + | 0.470759i | ||||
\(890\) | 23.9535 | + | 6.65064i | 0.0269140 | + | 0.00747263i | ||||
\(891\) | 641.113 | + | 387.405i | 0.719543 | + | 0.434798i | ||||
\(892\) | −161.454 | + | 152.937i | −0.181002 | + | 0.171454i | ||||
\(893\) | −1056.00 | − | 1389.15i | −1.18253 | − | 1.55560i | ||||
\(894\) | 227.184 | + | 706.847i | 0.254120 | + | 0.790657i | ||||
\(895\) | 146.117 | − | 2694.96i | 0.163259 | − | 3.01113i | ||||
\(896\) | 527.950 | − | 448.445i | 0.589230 | − | 0.500497i | ||||
\(897\) | 4.92871 | + | 3.85689i | 0.00549466 | + | 0.00429977i | ||||
\(898\) | 783.870 | − | 264.117i | 0.872906 | − | 0.294116i | ||||
\(899\) | −68.1776 | − | 46.2256i | −0.0758372 | − | 0.0514189i | ||||
\(900\) | −718.791 | + | 799.673i | −0.798656 | + | 0.888526i | ||||
\(901\) | 417.735 | − | 491.796i | 0.463635 | − | 0.545833i | ||||
\(902\) | 556.528 | − | 587.520i | 0.616994 | − | 0.651352i | ||||
\(903\) | −255.016 | − | 437.610i | −0.282410 | − | 0.484617i | ||||
\(904\) | −144.904 | − | 363.681i | −0.160292 | − | 0.402302i | ||||
\(905\) | −1623.45 | + | 266.152i | −1.79387 | + | 0.294090i | ||||
\(906\) | −321.026 | − | 113.201i | −0.354333 | − | 0.124946i | ||||
\(907\) | 931.966 | + | 708.462i | 1.02753 | + | 0.781105i | 0.976045 | − | 0.217569i | \(-0.0698127\pi\) |
0.0514810 | + | 0.998674i | \(0.483606\pi\) | |||||||
\(908\) | 32.1166 | + | 295.307i | 0.0353707 | + | 0.325228i | ||||
\(909\) | −260.052 | − | 1362.25i | −0.286085 | − | 1.49862i | ||||
\(910\) | 1192.94 | + | 717.766i | 1.31092 | + | 0.788754i | ||||
\(911\) | −682.960 | − | 1135.09i | −0.749681 | − | 1.24598i | −0.963133 | − | 0.269026i | \(-0.913298\pi\) |
0.213452 | − | 0.976954i | \(-0.431529\pi\) | |||||||
\(912\) | −1129.96 | + | 169.020i | −1.23899 | + | 0.185329i | ||||
\(913\) | −72.2313 | + | 181.287i | −0.0791142 | + | 0.198562i | ||||
\(914\) | 360.790 | − | 1639.08i | 0.394737 | − | 1.79331i | ||||
\(915\) | −122.970 | + | 54.8129i | −0.134394 | + | 0.0599048i | ||||
\(916\) | −369.678 | + | 927.822i | −0.403579 | + | 1.01291i | ||||
\(917\) | 883.822 | + | 468.573i | 0.963820 | + | 0.510985i | ||||
\(918\) | −1444.33 | + | 1742.76i | −1.57334 | + | 1.89843i | ||||
\(919\) | −346.932 | − | 208.742i | −0.377511 | − | 0.227141i | 0.314134 | − | 0.949379i | \(-0.398286\pi\) |
−0.691645 | + | 0.722238i | \(0.743114\pi\) | |||||||
\(920\) | −4.95087 | + | 2.62478i | −0.00538138 | + | 0.00285302i | ||||
\(921\) | −1163.86 | − | 1263.69i | −1.26369 | − | 1.37208i | ||||
\(922\) | 570.180 | + | 433.440i | 0.618417 | + | 0.470108i | ||||
\(923\) | −709.790 | + | 481.250i | −0.769003 | + | 0.521397i | ||||
\(924\) | −593.736 | − | 578.420i | −0.642572 | − | 0.625995i | ||||
\(925\) | 360.155 | + | 903.921i | 0.389357 | + | 0.977212i | ||||
\(926\) | −130.869 | + | 1203.32i | −0.141328 | + | 1.29949i | ||||
\(927\) | −186.991 | + | 105.486i | −0.201716 | + | 0.113793i | ||||
\(928\) | 1012.60 | − | 1192.13i | 1.09117 | − | 1.28462i | ||||
\(929\) | 60.6294 | − | 131.048i | 0.0652631 | − | 0.141064i | −0.872199 | − | 0.489151i | \(-0.837307\pi\) |
0.937462 | + | 0.348087i | \(0.113169\pi\) | |||||||
\(930\) | 136.363 | − | 5.47781i | 0.146627 | − | 0.00589012i | ||||
\(931\) | −811.745 | + | 273.509i | −0.871907 | + | 0.293780i | ||||
\(932\) | −186.138 | + | 51.6811i | −0.199719 | + | 0.0554518i | ||||
\(933\) | −161.442 | − | 37.9160i | −0.173035 | − | 0.0406388i | ||||
\(934\) | −76.5641 | + | 1412.14i | −0.0819744 | + | 1.51193i | ||||
\(935\) | −736.801 | + | 2186.75i | −0.788022 | + | 2.33877i | ||||
\(936\) | −134.906 | + | 49.4166i | −0.144130 | + | 0.0527955i | ||||
\(937\) | −732.485 | + | 693.846i | −0.781734 | + | 0.740498i | −0.970389 | − | 0.241546i | \(-0.922346\pi\) |
0.188656 | + | 0.982043i | \(0.439587\pi\) | |||||||
\(938\) | −2274.25 | + | 123.306i | −2.42457 | + | 0.131456i | ||||
\(939\) | 370.103 | − | 141.484i | 0.394146 | − | 0.150676i | ||||
\(940\) | −1936.89 | + | 896.100i | −2.06052 | + | 0.953298i | ||||
\(941\) | −21.8821 | − | 3.58739i | −0.0232541 | − | 0.00381231i | 0.150144 | − | 0.988664i | \(-0.452026\pi\) |
−0.173398 | + | 0.984852i | \(0.555475\pi\) | |||||||
\(942\) | −506.968 | + | 580.169i | −0.538183 | + | 0.615891i | ||||
\(943\) | −9.94761 | −0.0105489 | ||||||||
\(944\) | −195.423 | − | 1087.22i | −0.207016 | − | 1.15172i | ||||
\(945\) | −677.503 | − | 1933.03i | −0.716935 | − | 2.04554i | ||||
\(946\) | −426.559 | + | 93.8928i | −0.450909 | + | 0.0992525i | ||||
\(947\) | −54.8189 | − | 8.98711i | −0.0578869 | − | 0.00949008i | 0.132769 | − | 0.991147i | \(-0.457613\pi\) |
−0.190656 | + | 0.981657i | \(0.561061\pi\) | |||||||
\(948\) | 597.290 | + | 327.469i | 0.630052 | + | 0.345431i | ||||
\(949\) | 53.2883 | − | 191.927i | 0.0561521 | − | 0.202242i | ||||
\(950\) | 2070.07 | − | 112.236i | 2.17902 | − | 0.118143i | ||||
\(951\) | −143.817 | + | 806.288i | −0.151227 | + | 0.847832i | ||||
\(952\) | −554.134 | + | 421.241i | −0.582073 | + | 0.442481i | ||||
\(953\) | −267.435 | + | 793.718i | −0.280624 | + | 0.832862i | 0.710941 | + | 0.703252i | \(0.248269\pi\) |
−0.991565 | + | 0.129611i | \(0.958627\pi\) | |||||||
\(954\) | 463.471 | + | 170.771i | 0.485819 | + | 0.179005i | ||||
\(955\) | −399.661 | − | 470.518i | −0.418493 | − | 0.492689i | ||||
\(956\) | −109.942 | + | 30.5254i | −0.115003 | + | 0.0319303i | ||||
\(957\) | 873.944 | + | 610.602i | 0.913212 | + | 0.638037i | ||||
\(958\) | 230.417 | − | 339.839i | 0.240518 | − | 0.354738i | ||||
\(959\) | −260.280 | + | 562.585i | −0.271407 | + | 0.586638i | ||||
\(960\) | −54.8986 | + | 803.935i | −0.0571861 | + | 0.837432i | ||||
\(961\) | 694.346 | + | 657.719i | 0.722524 | + | 0.684411i | ||||
\(962\) | 50.5828 | − | 465.101i | 0.0525809 | − | 0.483473i | ||||
\(963\) | −17.2952 | − | 214.923i | −0.0179597 | − | 0.223181i | ||||
\(964\) | 34.0920 | + | 207.952i | 0.0353651 | + | 0.215718i | ||||
\(965\) | 1870.69 | − | 1268.36i | 1.93854 | − | 1.31436i | ||||
\(966\) | −0.325303 | + | 23.2076i | −0.000336752 | + | 0.0240244i | ||||
\(967\) | −420.025 | + | 45.6805i | −0.434359 | + | 0.0472394i | −0.322687 | − | 0.946506i | \(-0.604586\pi\) |
−0.111672 | + | 0.993745i | \(0.535621\pi\) | |||||||
\(968\) | −72.8078 | + | 38.6003i | −0.0752147 | + | 0.0398763i | ||||
\(969\) | 1907.32 | − | 180.423i | 1.96834 | − | 0.186195i | ||||
\(970\) | −1339.10 | + | 805.712i | −1.38052 | + | 0.830631i | ||||
\(971\) | −580.818 | − | 307.930i | −0.598164 | − | 0.317127i | 0.141672 | − | 0.989914i | \(-0.454752\pi\) |
−0.739836 | + | 0.672787i | \(0.765097\pi\) | |||||||
\(972\) | −716.849 | − | 254.308i | −0.737499 | − | 0.261634i | ||||
\(973\) | 1116.79 | + | 245.824i | 1.14778 | + | 0.252646i | ||||
\(974\) | 5.11169 | − | 23.2226i | 0.00524814 | − | 0.0238425i | ||||
\(975\) | 761.142 | − | 199.883i | 0.780658 | − | 0.205008i | ||||
\(976\) | −49.5197 | + | 93.4041i | −0.0507374 | + | 0.0957009i | ||||
\(977\) | −699.717 | − | 1162.94i | −0.716189 | − | 1.19032i | −0.974529 | − | 0.224261i | \(-0.928003\pi\) |
0.258340 | − | 0.966054i | \(-0.416824\pi\) | |||||||
\(978\) | 944.993 | − | 89.3918i | 0.966250 | − | 0.0914027i | ||||
\(979\) | 5.07410 | + | 9.57078i | 0.00518295 | + | 0.00977607i | ||||
\(980\) | 113.269 | + | 1041.49i | 0.115580 | + | 1.06274i | ||||
\(981\) | −1462.17 | + | 1048.17i | −1.49049 | + | 1.06848i | ||||
\(982\) | −99.8401 | − | 147.253i | −0.101670 | − | 0.149952i | ||||
\(983\) | 295.982 | − | 48.5238i | 0.301101 | − | 0.0493630i | −0.00933766 | − | 0.999956i | \(-0.502972\pi\) |
0.310439 | + | 0.950593i | \(0.399524\pi\) | |||||||
\(984\) | 120.464 | − | 194.005i | 0.122423 | − | 0.197160i | ||||
\(985\) | −1287.11 | − | 139.982i | −1.30671 | − | 0.142113i | ||||
\(986\) | −2215.42 | + | 2338.79i | −2.24688 | + | 2.37200i | ||||
\(987\) | 167.359 | − | 2450.80i | 0.169563 | − | 2.48308i | ||||
\(988\) | −397.141 | − | 183.737i | −0.401965 | − | 0.185969i | ||||
\(989\) | 4.44377 | + | 3.01295i | 0.00449319 | + | 0.00304646i | ||||
\(990\) | −1765.75 | + | 46.1550i | −1.78359 | + | 0.0466212i | ||||
\(991\) | 442.572 | + | 1594.00i | 0.446591 | + | 1.60847i | 0.753984 | + | 0.656892i | \(0.228129\pi\) |
−0.307393 | + | 0.951583i | \(0.599457\pi\) | |||||||
\(992\) | 66.4973 | − | 56.4833i | 0.0670336 | − | 0.0569388i | ||||
\(993\) | 1370.28 | − | 901.297i | 1.37993 | − | 0.907650i | ||||
\(994\) | −3013.84 | − | 1015.48i | −3.03203 | − | 1.02161i | ||||
\(995\) | 557.465 | + | 733.333i | 0.560267 | + | 0.737018i | ||||
\(996\) | 34.7956 | − | 195.077i | 0.0349354 | − | 0.195860i | ||||
\(997\) | 4.65993 | + | 85.9474i | 0.00467395 | + | 0.0862060i | 0.999940 | − | 0.0109854i | \(-0.00349684\pi\) |
−0.995266 | + | 0.0971915i | \(0.969014\pi\) | |||||||
\(998\) | −1287.63 | − | 357.508i | −1.29021 | − | 0.358225i | ||||
\(999\) | −493.944 | + | 479.377i | −0.494439 | + | 0.479856i |
(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 | 177.3.h.a.107.31 | yes | 1064 | |
3.2 | odd | 2 | inner | 177.3.h.a.107.8 | ✓ | 1064 | |
59.16 | even | 29 | inner | 177.3.h.a.134.8 | yes | 1064 | |
177.134 | odd | 58 | inner | 177.3.h.a.134.31 | yes | 1064 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.h.a.107.8 | ✓ | 1064 | 3.2 | odd | 2 | inner | |
177.3.h.a.107.31 | yes | 1064 | 1.1 | even | 1 | trivial | |
177.3.h.a.134.8 | yes | 1064 | 59.16 | even | 29 | inner | |
177.3.h.a.134.31 | yes | 1064 | 177.134 | odd | 58 | inner |