Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 86.14 | ||
Character | \(\chi\) | \(=\) | 105.86 |
Dual form | 105.3.t.b.11.14 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.31825 | + | 1.33844i | 1.15913 | + | 0.669222i | 0.951095 | − | 0.308900i | \(-0.0999607\pi\) |
0.208032 | + | 0.978122i | \(0.433294\pi\) | |||||||
\(3\) | 0.256676 | + | 2.98900i | 0.0855585 | + | 0.996333i | ||||
\(4\) | 1.58287 | + | 2.74161i | 0.395717 | + | 0.685402i | ||||
\(5\) | 1.93649 | + | 1.11803i | 0.387298 | + | 0.223607i | ||||
\(6\) | −3.40557 | + | 7.27281i | −0.567595 | + | 1.21213i | ||||
\(7\) | 4.89419 | − | 5.00469i | 0.699170 | − | 0.714956i | ||||
\(8\) | − | 2.23323i | − | 0.279154i | ||||||
\(9\) | −8.86824 | + | 1.53441i | −0.985359 | + | 0.170490i | ||||
\(10\) | 2.99285 | + | 5.18377i | 0.299285 | + | 0.518377i | ||||
\(11\) | −15.6726 | + | 9.04859i | −1.42478 | + | 0.822599i | −0.996703 | − | 0.0811419i | \(-0.974143\pi\) |
−0.428080 | + | 0.903741i | \(0.640810\pi\) | |||||||
\(12\) | −7.78838 | + | 5.43489i | −0.649032 | + | 0.452908i | ||||
\(13\) | 2.70603 | 0.208156 | 0.104078 | − | 0.994569i | \(-0.466811\pi\) | ||||
0.104078 | + | 0.994569i | \(0.466811\pi\) | |||||||
\(14\) | 18.0445 | − | 5.05154i | 1.28889 | − | 0.360824i | ||||
\(15\) | −2.84475 | + | 6.07514i | −0.189650 | + | 0.405010i | ||||
\(16\) | 9.32053 | − | 16.1436i | 0.582533 | − | 1.00898i | ||||
\(17\) | 3.39734 | − | 1.96145i | 0.199843 | − | 0.115380i | −0.396739 | − | 0.917931i | \(-0.629858\pi\) |
0.596582 | + | 0.802552i | \(0.296525\pi\) | |||||||
\(18\) | −22.6125 | − | 8.31250i | −1.25625 | − | 0.461805i | ||||
\(19\) | 14.7810 | − | 25.6015i | 0.777948 | − | 1.34745i | −0.155174 | − | 0.987887i | \(-0.549594\pi\) |
0.933122 | − | 0.359559i | \(-0.117073\pi\) | |||||||
\(20\) | 7.07880i | 0.353940i | ||||||||
\(21\) | 16.2152 | + | 13.3441i | 0.772154 | + | 0.635435i | ||||
\(22\) | −48.4441 | −2.20201 | ||||||||
\(23\) | 5.66814 | + | 3.27250i | 0.246441 | + | 0.142283i | 0.618133 | − | 0.786073i | \(-0.287889\pi\) |
−0.371693 | + | 0.928356i | \(0.621222\pi\) | |||||||
\(24\) | 6.67514 | − | 0.573217i | 0.278131 | − | 0.0238840i | ||||
\(25\) | 2.50000 | + | 4.33013i | 0.100000 | + | 0.173205i | ||||
\(26\) | 6.27326 | + | 3.62187i | 0.241279 | + | 0.139303i | ||||
\(27\) | −6.86260 | − | 26.1133i | −0.254170 | − | 0.967159i | ||||
\(28\) | 21.4677 | + | 5.49618i | 0.766705 | + | 0.196292i | ||||
\(29\) | − | 18.8690i | − | 0.650654i | −0.945602 | − | 0.325327i | \(-0.894526\pi\) | ||
0.945602 | − | 0.325327i | \(-0.105474\pi\) | |||||||
\(30\) | −14.7261 | + | 10.2762i | −0.490870 | + | 0.342539i | ||||
\(31\) | 12.6486 | + | 21.9079i | 0.408018 | + | 0.706708i | 0.994668 | − | 0.103133i | \(-0.0328867\pi\) |
−0.586650 | + | 0.809841i | \(0.699553\pi\) | |||||||
\(32\) | 35.4786 | − | 20.4836i | 1.10871 | − | 0.640111i | ||||
\(33\) | −31.0690 | − | 44.5229i | −0.941485 | − | 1.34918i | ||||
\(34\) | 10.5012 | 0.308859 | ||||||||
\(35\) | 15.0730 | − | 4.21967i | 0.430656 | − | 0.120562i | ||||
\(36\) | −18.2440 | − | 21.8845i | −0.506777 | − | 0.607901i | ||||
\(37\) | −33.5038 | + | 58.0303i | −0.905509 | + | 1.56839i | −0.0852768 | + | 0.996357i | \(0.527177\pi\) |
−0.820232 | + | 0.572031i | \(0.806156\pi\) | |||||||
\(38\) | 68.5323 | − | 39.5671i | 1.80348 | − | 1.04124i | ||||
\(39\) | 0.694571 | + | 8.08831i | 0.0178095 | + | 0.207393i | ||||
\(40\) | 2.49683 | − | 4.32464i | 0.0624208 | − | 0.108116i | ||||
\(41\) | 38.7488i | 0.945092i | 0.881306 | + | 0.472546i | \(0.156665\pi\) | ||||
−0.881306 | + | 0.472546i | \(0.843335\pi\) | |||||||
\(42\) | 19.7306 | + | 52.6383i | 0.469777 | + | 1.25329i | ||||
\(43\) | −63.9074 | −1.48622 | −0.743109 | − | 0.669171i | \(-0.766650\pi\) | ||||
−0.743109 | + | 0.669171i | \(0.766650\pi\) | |||||||
\(44\) | −49.6153 | − | 28.6454i | −1.12762 | − | 0.651032i | ||||
\(45\) | −18.8888 | − | 6.94362i | −0.419751 | − | 0.154303i | ||||
\(46\) | 8.76013 | + | 15.1730i | 0.190438 | + | 0.329847i | ||||
\(47\) | −33.6085 | − | 19.4039i | −0.715075 | − | 0.412849i | 0.0978620 | − | 0.995200i | \(-0.468800\pi\) |
−0.812937 | + | 0.582351i | \(0.802133\pi\) | |||||||
\(48\) | 50.6457 | + | 23.7154i | 1.05512 | + | 0.494071i | ||||
\(49\) | −1.09384 | − | 48.9878i | −0.0223233 | − | 0.999751i | ||||
\(50\) | 13.3844i | 0.267689i | ||||||||
\(51\) | 6.73480 | + | 9.65119i | 0.132055 | + | 0.189239i | ||||
\(52\) | 4.28328 | + | 7.41886i | 0.0823708 | + | 0.142670i | ||||
\(53\) | 0.787120 | − | 0.454444i | 0.0148513 | − | 0.00857442i | −0.492556 | − | 0.870281i | \(-0.663937\pi\) |
0.507407 | + | 0.861706i | \(0.330604\pi\) | |||||||
\(54\) | 19.0420 | − | 69.7225i | 0.352629 | − | 1.29116i | ||||
\(55\) | −40.4665 | −0.735755 | ||||||||
\(56\) | −11.1766 | − | 10.9299i | −0.199583 | − | 0.195176i | ||||
\(57\) | 80.3167 | + | 37.6092i | 1.40907 | + | 0.659810i | ||||
\(58\) | 25.2551 | − | 43.7430i | 0.435432 | − | 0.754190i | ||||
\(59\) | 20.6520 | − | 11.9234i | 0.350033 | − | 0.202092i | −0.314667 | − | 0.949202i | \(-0.601893\pi\) |
0.664700 | + | 0.747110i | \(0.268559\pi\) | |||||||
\(60\) | −21.1585 | + | 1.81696i | −0.352642 | + | 0.0302826i | ||||
\(61\) | −25.3438 | + | 43.8968i | −0.415472 | + | 0.719619i | −0.995478 | − | 0.0949935i | \(-0.969717\pi\) |
0.580006 | + | 0.814612i | \(0.303050\pi\) | |||||||
\(62\) | 67.7176i | 1.09222i | ||||||||
\(63\) | −35.7236 | + | 51.8924i | −0.567041 | + | 0.823690i | ||||
\(64\) | 35.1002 | 0.548440 | ||||||||
\(65\) | 5.24020 | + | 3.02543i | 0.0806184 | + | 0.0465451i | ||||
\(66\) | −12.4344 | − | 144.799i | −0.188400 | − | 2.19393i | ||||
\(67\) | −34.7257 | − | 60.1466i | −0.518294 | − | 0.897711i | −0.999774 | − | 0.0212540i | \(-0.993234\pi\) |
0.481481 | − | 0.876457i | \(-0.340099\pi\) | |||||||
\(68\) | 10.7551 | + | 6.20944i | 0.158163 | + | 0.0913154i | ||||
\(69\) | −8.32663 | + | 17.7820i | −0.120676 | + | 0.257711i | ||||
\(70\) | 40.5908 | + | 10.3921i | 0.579868 | + | 0.148458i | ||||
\(71\) | − | 55.2444i | − | 0.778090i | −0.921219 | − | 0.389045i | \(-0.872805\pi\) | ||
0.921219 | − | 0.389045i | \(-0.127195\pi\) | |||||||
\(72\) | 3.42669 | + | 19.8048i | 0.0475929 | + | 0.275067i | ||||
\(73\) | 14.8601 | + | 25.7384i | 0.203563 | + | 0.352581i | 0.949674 | − | 0.313241i | \(-0.101415\pi\) |
−0.746111 | + | 0.665821i | \(0.768081\pi\) | |||||||
\(74\) | −155.341 | + | 89.6861i | −2.09920 | + | 1.21197i | ||||
\(75\) | −12.3011 | + | 8.58394i | −0.164014 | + | 0.114452i | ||||
\(76\) | 93.5856 | 1.23139 | ||||||||
\(77\) | −31.4193 | + | 122.722i | −0.408043 | + | 1.59379i | ||||
\(78\) | −9.21556 | + | 19.6804i | −0.118148 | + | 0.252313i | ||||
\(79\) | −14.9827 | + | 25.9507i | −0.189654 | + | 0.328490i | −0.945135 | − | 0.326680i | \(-0.894070\pi\) |
0.755481 | + | 0.655171i | \(0.227403\pi\) | |||||||
\(80\) | 36.0983 | − | 20.8413i | 0.451228 | − | 0.260517i | ||||
\(81\) | 76.2912 | − | 27.2150i | 0.941867 | − | 0.335987i | ||||
\(82\) | −51.8631 | + | 89.8295i | −0.632476 | + | 1.09548i | ||||
\(83\) | 78.4979i | 0.945758i | 0.881127 | + | 0.472879i | \(0.156785\pi\) | ||||
−0.881127 | + | 0.472879i | \(0.843215\pi\) | |||||||
\(84\) | −10.9178 | + | 65.5778i | −0.129974 | + | 0.780688i | ||||
\(85\) | 8.77189 | 0.103199 | ||||||||
\(86\) | −148.153 | − | 85.5364i | −1.72271 | − | 0.994610i | ||||
\(87\) | 56.3993 | − | 4.84320i | 0.648268 | − | 0.0556690i | ||||
\(88\) | 20.2076 | + | 35.0006i | 0.229632 | + | 0.397734i | ||||
\(89\) | 133.421 | + | 77.0307i | 1.49911 | + | 0.865513i | 0.999999 | − | 0.00102332i | \(-0.000325734\pi\) |
0.499114 | + | 0.866537i | \(0.333659\pi\) | |||||||
\(90\) | −34.4953 | − | 41.3787i | −0.383282 | − | 0.459763i | ||||
\(91\) | 13.2438 | − | 13.5428i | 0.145536 | − | 0.148822i | ||||
\(92\) | 20.7198i | 0.225215i | ||||||||
\(93\) | −62.2363 | + | 43.4298i | −0.669207 | + | 0.466987i | ||||
\(94\) | −51.9421 | − | 89.9663i | −0.552575 | − | 0.957089i | ||||
\(95\) | 57.2466 | − | 33.0514i | 0.602596 | − | 0.347909i | ||||
\(96\) | 70.3318 | + | 100.788i | 0.732623 | + | 1.04987i | ||||
\(97\) | 32.8490 | 0.338650 | 0.169325 | − | 0.985560i | \(-0.445841\pi\) | ||||
0.169325 | + | 0.985560i | \(0.445841\pi\) | |||||||
\(98\) | 63.0316 | − | 115.030i | 0.643180 | − | 1.17378i | ||||
\(99\) | 125.104 | − | 104.293i | 1.26368 | − | 1.05347i | ||||
\(100\) | −7.91434 | + | 13.7080i | −0.0791434 | + | 0.137080i | ||||
\(101\) | −52.7241 | + | 30.4403i | −0.522021 | + | 0.301389i | −0.737761 | − | 0.675062i | \(-0.764117\pi\) |
0.215740 | + | 0.976451i | \(0.430784\pi\) | |||||||
\(102\) | 2.69540 | + | 31.3881i | 0.0264255 | + | 0.307726i | ||||
\(103\) | 22.1261 | − | 38.3235i | 0.214816 | − | 0.372073i | −0.738399 | − | 0.674364i | \(-0.764418\pi\) |
0.953216 | + | 0.302291i | \(0.0977513\pi\) | |||||||
\(104\) | − | 6.04319i | − | 0.0581076i | ||||||
\(105\) | 16.4815 | + | 43.9700i | 0.156966 | + | 0.418762i | ||||
\(106\) | 2.43299 | 0.0229528 | ||||||||
\(107\) | −129.731 | − | 74.9005i | −1.21244 | − | 0.700004i | −0.249152 | − | 0.968464i | \(-0.580152\pi\) |
−0.963291 | + | 0.268460i | \(0.913485\pi\) | |||||||
\(108\) | 60.7298 | − | 60.1485i | 0.562313 | − | 0.556930i | ||||
\(109\) | 41.1471 | + | 71.2689i | 0.377496 | + | 0.653843i | 0.990697 | − | 0.136084i | \(-0.0434517\pi\) |
−0.613201 | + | 0.789927i | \(0.710118\pi\) | |||||||
\(110\) | −93.8116 | − | 54.1622i | −0.852833 | − | 0.492383i | ||||
\(111\) | −182.052 | − | 85.2480i | −1.64011 | − | 0.768000i | ||||
\(112\) | −35.1774 | − | 125.656i | −0.314084 | − | 1.12193i | ||||
\(113\) | 56.1617i | 0.497006i | 0.968631 | + | 0.248503i | \(0.0799386\pi\) | ||||
−0.968631 | + | 0.248503i | \(0.920061\pi\) | |||||||
\(114\) | 135.857 | + | 194.687i | 1.19173 | + | 1.70778i | ||||
\(115\) | 7.31754 | + | 12.6743i | 0.0636308 | + | 0.110212i | ||||
\(116\) | 51.7313 | − | 29.8671i | 0.445959 | − | 0.257475i | ||||
\(117\) | −23.9977 | + | 4.15214i | −0.205108 | + | 0.0354884i | ||||
\(118\) | 63.8353 | 0.540977 | ||||||||
\(119\) | 6.81074 | − | 26.6024i | 0.0572331 | − | 0.223549i | ||||
\(120\) | 13.5672 | + | 6.35300i | 0.113060 | + | 0.0529417i | ||||
\(121\) | 103.254 | − | 178.841i | 0.853338 | − | 1.47802i | ||||
\(122\) | −117.507 | + | 67.8426i | −0.963170 | + | 0.556086i | ||||
\(123\) | −115.820 | + | 9.94586i | −0.941626 | + | 0.0808607i | ||||
\(124\) | −40.0420 | + | 69.3547i | −0.322919 | + | 0.559312i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −152.271 | + | 72.4858i | −1.20850 | + | 0.575284i | ||||
\(127\) | 31.3811 | 0.247095 | 0.123548 | − | 0.992339i | \(-0.460573\pi\) | ||||
0.123548 | + | 0.992339i | \(0.460573\pi\) | |||||||
\(128\) | −60.5431 | − | 34.9546i | −0.472993 | − | 0.273083i | ||||
\(129\) | −16.4035 | − | 191.019i | −0.127159 | − | 1.48077i | ||||
\(130\) | 8.09874 | + | 14.0274i | 0.0622980 | + | 0.107903i | ||||
\(131\) | −0.204424 | − | 0.118024i | −0.00156049 | − | 0.000900947i | 0.499220 | − | 0.866476i | \(-0.333620\pi\) |
−0.500780 | + | 0.865575i | \(0.666953\pi\) | |||||||
\(132\) | 72.8861 | − | 155.653i | 0.552168 | − | 1.17919i | ||||
\(133\) | −55.7864 | − | 199.273i | −0.419446 | − | 1.49829i | ||||
\(134\) | − | 185.914i | − | 1.38741i | ||||||
\(135\) | 15.9062 | − | 58.2408i | 0.117824 | − | 0.431413i | ||||
\(136\) | −4.38039 | − | 7.58705i | −0.0322087 | − | 0.0557872i | ||||
\(137\) | 234.604 | − | 135.448i | 1.71244 | − | 0.988675i | 0.781182 | − | 0.624303i | \(-0.214617\pi\) |
0.931253 | − | 0.364372i | \(-0.118716\pi\) | |||||||
\(138\) | −43.1035 | + | 30.0785i | −0.312344 | + | 0.217960i | ||||
\(139\) | −70.1988 | −0.505027 | −0.252514 | − | 0.967593i | \(-0.581257\pi\) | ||||
−0.252514 | + | 0.967593i | \(0.581257\pi\) | |||||||
\(140\) | 35.4272 | + | 34.6450i | 0.253051 | + | 0.247464i | ||||
\(141\) | 49.3718 | − | 105.436i | 0.350154 | − | 0.747776i | ||||
\(142\) | 73.9415 | − | 128.071i | 0.520715 | − | 0.901905i | ||||
\(143\) | −42.4105 | + | 24.4857i | −0.296577 | + | 0.171229i | ||||
\(144\) | −57.8858 | + | 157.467i | −0.401984 | + | 1.09352i | ||||
\(145\) | 21.0961 | − | 36.5396i | 0.145491 | − | 0.251997i | ||||
\(146\) | 79.5575i | 0.544914i | ||||||||
\(147\) | 146.144 | − | 15.8435i | 0.994175 | − | 0.107779i | ||||
\(148\) | −212.129 | −1.43330 | ||||||||
\(149\) | 50.9648 | + | 29.4245i | 0.342046 | + | 0.197480i | 0.661176 | − | 0.750231i | \(-0.270058\pi\) |
−0.319131 | + | 0.947711i | \(0.603391\pi\) | |||||||
\(150\) | −40.0061 | + | 3.43546i | −0.266707 | + | 0.0229031i | ||||
\(151\) | 128.237 | + | 222.112i | 0.849249 | + | 1.47094i | 0.881879 | + | 0.471475i | \(0.156278\pi\) |
−0.0326304 | + | 0.999467i | \(0.510388\pi\) | |||||||
\(152\) | −57.1741 | − | 33.0095i | −0.376145 | − | 0.217168i | ||||
\(153\) | −27.1187 | + | 22.6075i | −0.177247 | + | 0.147762i | ||||
\(154\) | −237.095 | + | 242.448i | −1.53958 | + | 1.57434i | ||||
\(155\) | 56.5661i | 0.364942i | ||||||||
\(156\) | −21.0756 | + | 14.7070i | −0.135100 | + | 0.0942754i | ||||
\(157\) | −36.6914 | − | 63.5513i | −0.233703 | − | 0.404785i | 0.725192 | − | 0.688547i | \(-0.241751\pi\) |
−0.958895 | + | 0.283761i | \(0.908418\pi\) | |||||||
\(158\) | −69.4672 | + | 40.1069i | −0.439666 | + | 0.253841i | ||||
\(159\) | 1.56037 | + | 2.23606i | 0.00981364 | + | 0.0140633i | ||||
\(160\) | 91.6053 | 0.572533 | ||||||||
\(161\) | 44.1188 | − | 12.3510i | 0.274030 | − | 0.0767145i | ||||
\(162\) | 213.288 | + | 39.0204i | 1.31659 | + | 0.240866i | ||||
\(163\) | −32.3989 | + | 56.1166i | −0.198766 | + | 0.344274i | −0.948129 | − | 0.317887i | \(-0.897027\pi\) |
0.749362 | + | 0.662160i | \(0.230360\pi\) | |||||||
\(164\) | −106.234 | + | 61.3342i | −0.647768 | + | 0.373989i | ||||
\(165\) | −10.3868 | − | 120.954i | −0.0629501 | − | 0.733057i | ||||
\(166\) | −105.065 | + | 181.978i | −0.632922 | + | 1.09625i | ||||
\(167\) | − | 208.422i | − | 1.24803i | −0.781411 | − | 0.624017i | \(-0.785500\pi\) | ||
0.781411 | − | 0.624017i | \(-0.214500\pi\) | |||||||
\(168\) | 29.8006 | − | 36.2124i | 0.177385 | − | 0.215550i | ||||
\(169\) | −161.677 | −0.956671 | ||||||||
\(170\) | 20.3355 | + | 11.7407i | 0.119620 | + | 0.0690629i | ||||
\(171\) | −91.7985 | + | 249.720i | −0.536833 | + | 1.46035i | ||||
\(172\) | −101.157 | − | 175.209i | −0.588121 | − | 1.01866i | ||||
\(173\) | 152.382 | + | 87.9780i | 0.880823 | + | 0.508543i | 0.870930 | − | 0.491408i | \(-0.163518\pi\) |
0.00989305 | + | 0.999951i | \(0.496851\pi\) | |||||||
\(174\) | 137.230 | + | 64.2596i | 0.788680 | + | 0.369308i | ||||
\(175\) | 33.9064 | + | 8.68073i | 0.193751 | + | 0.0496042i | ||||
\(176\) | 337.351i | 1.91676i | ||||||||
\(177\) | 40.9399 | + | 58.6682i | 0.231299 | + | 0.331459i | ||||
\(178\) | 206.203 | + | 357.153i | 1.15844 | + | 2.00648i | ||||
\(179\) | 119.555 | − | 69.0248i | 0.667902 | − | 0.385614i | −0.127379 | − | 0.991854i | \(-0.540656\pi\) |
0.795281 | + | 0.606240i | \(0.207323\pi\) | |||||||
\(180\) | −10.8618 | − | 62.7765i | −0.0603431 | − | 0.348758i | ||||
\(181\) | 220.457 | 1.21800 | 0.608998 | − | 0.793172i | \(-0.291572\pi\) | ||||
0.608998 | + | 0.793172i | \(0.291572\pi\) | |||||||
\(182\) | 48.8288 | − | 13.6696i | 0.268290 | − | 0.0751077i | ||||
\(183\) | −137.713 | − | 64.4854i | −0.752527 | − | 0.352379i | ||||
\(184\) | 7.30826 | − | 12.6583i | 0.0397188 | − | 0.0687950i | ||||
\(185\) | −129.760 | + | 74.9169i | −0.701404 | + | 0.404956i | ||||
\(186\) | −202.408 | + | 17.3814i | −1.08821 | + | 0.0934486i | ||||
\(187\) | −35.4968 | + | 61.4822i | −0.189822 | + | 0.328782i | ||||
\(188\) | − | 122.855i | − | 0.653485i | ||||||
\(189\) | −164.276 | − | 93.4583i | −0.869184 | − | 0.494488i | ||||
\(190\) | 176.950 | 0.931314 | ||||||||
\(191\) | 164.995 | + | 95.2597i | 0.863846 | + | 0.498742i | 0.865298 | − | 0.501257i | \(-0.167129\pi\) |
−0.00145232 | + | 0.999999i | \(0.500462\pi\) | |||||||
\(192\) | 9.00936 | + | 104.914i | 0.0469238 | + | 0.546429i | ||||
\(193\) | 50.5882 | + | 87.6213i | 0.262115 | + | 0.453996i | 0.966804 | − | 0.255520i | \(-0.0822467\pi\) |
−0.704689 | + | 0.709517i | \(0.748913\pi\) | |||||||
\(194\) | 76.1523 | + | 43.9666i | 0.392538 | + | 0.226632i | ||||
\(195\) | −7.69798 | + | 16.4395i | −0.0394768 | + | 0.0843051i | ||||
\(196\) | 132.574 | − | 80.5401i | 0.676397 | − | 0.410919i | ||||
\(197\) | − | 73.4072i | − | 0.372625i | −0.982491 | − | 0.186313i | \(-0.940346\pi\) | ||
0.982491 | − | 0.186313i | \(-0.0596537\pi\) | |||||||
\(198\) | 429.614 | − | 74.3330i | 2.16977 | − | 0.375419i | ||||
\(199\) | 39.3463 | + | 68.1497i | 0.197720 | + | 0.342461i | 0.947789 | − | 0.318899i | \(-0.103313\pi\) |
−0.750069 | + | 0.661360i | \(0.769980\pi\) | |||||||
\(200\) | 9.67019 | − | 5.58309i | 0.0483509 | − | 0.0279154i | ||||
\(201\) | 170.865 | − | 119.233i | 0.850075 | − | 0.593200i | ||||
\(202\) | −162.970 | −0.806784 | ||||||||
\(203\) | −94.4333 | − | 92.3482i | −0.465189 | − | 0.454917i | ||||
\(204\) | −15.7995 | + | 33.7407i | −0.0774483 | + | 0.165396i | ||||
\(205\) | −43.3224 | + | 75.0367i | −0.211329 | + | 0.366032i | ||||
\(206\) | 102.588 | − | 59.2291i | 0.497999 | − | 0.287520i | ||||
\(207\) | −55.2877 | − | 20.3241i | −0.267091 | − | 0.0981840i | ||||
\(208\) | 25.2216 | − | 43.6851i | 0.121258 | − | 0.210024i | ||||
\(209\) | 534.989i | 2.55976i | ||||||||
\(210\) | −20.6432 | + | 123.993i | −0.0983010 | + | 0.590444i | ||||
\(211\) | −26.1357 | −0.123866 | −0.0619329 | − | 0.998080i | \(-0.519726\pi\) | ||||
−0.0619329 | + | 0.998080i | \(0.519726\pi\) | |||||||
\(212\) | 2.49181 | + | 1.43865i | 0.0117538 | + | 0.00678608i | ||||
\(213\) | 165.125 | − | 14.1799i | 0.775237 | − | 0.0665722i | ||||
\(214\) | −200.500 | − | 347.277i | −0.936917 | − | 1.62279i | ||||
\(215\) | −123.756 | − | 71.4506i | −0.575610 | − | 0.332328i | ||||
\(216\) | −58.3171 | + | 15.3258i | −0.269987 | + | 0.0709528i | ||||
\(217\) | 171.547 | + | 43.9195i | 0.790539 | + | 0.202394i | ||||
\(218\) | 220.292i | 1.01052i | ||||||||
\(219\) | −73.1178 | + | 51.0231i | −0.333871 | + | 0.232982i | ||||
\(220\) | −64.0531 | − | 110.943i | −0.291151 | − | 0.504288i | ||||
\(221\) | 9.19329 | − | 5.30775i | 0.0415986 | − | 0.0240170i | ||||
\(222\) | −307.944 | − | 441.293i | −1.38713 | − | 1.98781i | ||||
\(223\) | −383.186 | −1.71832 | −0.859161 | − | 0.511705i | \(-0.829014\pi\) | ||||
−0.859161 | + | 0.511705i | \(0.829014\pi\) | |||||||
\(224\) | 71.1249 | − | 277.810i | 0.317522 | − | 1.24022i | ||||
\(225\) | −28.8148 | − | 34.5646i | −0.128066 | − | 0.153620i | ||||
\(226\) | −75.1693 | + | 130.197i | −0.332608 | + | 0.576093i | ||||
\(227\) | −207.499 | + | 119.799i | −0.914091 | + | 0.527751i | −0.881745 | − | 0.471726i | \(-0.843631\pi\) |
−0.0323460 | + | 0.999477i | \(0.510298\pi\) | |||||||
\(228\) | 24.0211 | + | 279.727i | 0.105356 | + | 1.22687i | ||||
\(229\) | 178.359 | − | 308.927i | 0.778861 | − | 1.34903i | −0.153738 | − | 0.988112i | \(-0.549131\pi\) |
0.932599 | − | 0.360915i | \(-0.117536\pi\) | |||||||
\(230\) | 39.1765i | 0.170332i | ||||||||
\(231\) | −374.881 | − | 62.4126i | −1.62286 | − | 0.270185i | ||||
\(232\) | −42.1388 | −0.181633 | ||||||||
\(233\) | −51.5126 | − | 29.7408i | −0.221084 | − | 0.127643i | 0.385368 | − | 0.922763i | \(-0.374075\pi\) |
−0.606452 | + | 0.795120i | \(0.707408\pi\) | |||||||
\(234\) | −61.1901 | − | 22.4938i | −0.261496 | − | 0.0961275i | ||||
\(235\) | −43.3884 | − | 75.1510i | −0.184632 | − | 0.319791i | ||||
\(236\) | 65.3786 | + | 37.7464i | 0.277028 | + | 0.159942i | ||||
\(237\) | −81.4124 | − | 38.1222i | −0.343512 | − | 0.160853i | ||||
\(238\) | 51.3948 | − | 52.5552i | 0.215945 | − | 0.220820i | ||||
\(239\) | − | 279.616i | − | 1.16994i | −0.811054 | − | 0.584971i | \(-0.801106\pi\) | ||
0.811054 | − | 0.584971i | \(-0.198894\pi\) | |||||||
\(240\) | 71.5603 | + | 102.548i | 0.298168 | + | 0.427284i | ||||
\(241\) | 110.381 | + | 191.186i | 0.458014 | + | 0.793304i | 0.998856 | − | 0.0478204i | \(-0.0152275\pi\) |
−0.540842 | + | 0.841124i | \(0.681894\pi\) | |||||||
\(242\) | 478.737 | − | 276.399i | 1.97825 | − | 1.14215i | ||||
\(243\) | 100.928 | + | 221.049i | 0.415340 | + | 0.909666i | ||||
\(244\) | −160.464 | −0.657637 | ||||||||
\(245\) | 52.6518 | − | 96.0874i | 0.214905 | − | 0.392193i | ||||
\(246\) | −281.812 | − | 131.962i | −1.14558 | − | 0.536429i | ||||
\(247\) | 39.9978 | − | 69.2783i | 0.161934 | − | 0.280479i | ||||
\(248\) | 48.9256 | − | 28.2472i | 0.197281 | − | 0.113900i | ||||
\(249\) | −234.630 | + | 20.1485i | −0.942290 | + | 0.0809177i | ||||
\(250\) | −14.9643 | + | 25.9189i | −0.0598571 | + | 0.103675i | ||||
\(251\) | − | 289.707i | − | 1.15421i | −0.816670 | − | 0.577106i | \(-0.804182\pi\) | ||
0.816670 | − | 0.577106i | \(-0.195818\pi\) | |||||||
\(252\) | −198.814 | − | 15.8012i | −0.788946 | − | 0.0627031i | ||||
\(253\) | −118.446 | −0.468166 | ||||||||
\(254\) | 72.7494 | + | 42.0019i | 0.286415 | + | 0.165362i | ||||
\(255\) | 2.25153 | + | 26.2192i | 0.00882953 | + | 0.102820i | ||||
\(256\) | −163.770 | − | 283.658i | −0.639726 | − | 1.10804i | ||||
\(257\) | 135.364 | + | 78.1525i | 0.526709 | + | 0.304095i | 0.739675 | − | 0.672964i | \(-0.234979\pi\) |
−0.212966 | + | 0.977060i | \(0.568312\pi\) | |||||||
\(258\) | 217.641 | − | 464.786i | 0.843570 | − | 1.80150i | ||||
\(259\) | 126.450 | + | 451.688i | 0.488223 | + | 1.74397i | ||||
\(260\) | 19.1554i | 0.0736747i | ||||||||
\(261\) | 28.9527 | + | 167.334i | 0.110930 | + | 0.641128i | ||||
\(262\) | −0.315937 | − | 0.547219i | −0.00120587 | − | 0.00208862i | ||||
\(263\) | −25.0501 | + | 14.4627i | −0.0952475 | + | 0.0549912i | −0.546867 | − | 0.837219i | \(-0.684180\pi\) |
0.451620 | + | 0.892211i | \(0.350846\pi\) | |||||||
\(264\) | −99.4300 | + | 69.3844i | −0.376629 | + | 0.262820i | ||||
\(265\) | 2.03234 | 0.00766919 | ||||||||
\(266\) | 137.389 | − | 536.632i | 0.516499 | − | 2.01741i | ||||
\(267\) | −195.999 | + | 418.567i | −0.734078 | + | 1.56767i | ||||
\(268\) | 109.932 | − | 190.408i | 0.410195 | − | 0.710479i | ||||
\(269\) | −175.613 | + | 101.390i | −0.652838 | + | 0.376916i | −0.789543 | − | 0.613696i | \(-0.789682\pi\) |
0.136705 | + | 0.990612i | \(0.456349\pi\) | |||||||
\(270\) | 114.827 | − | 113.727i | 0.425284 | − | 0.421213i | ||||
\(271\) | 189.529 | − | 328.273i | 0.699367 | − | 1.21134i | −0.269319 | − | 0.963051i | \(-0.586799\pi\) |
0.968686 | − | 0.248288i | \(-0.0798681\pi\) | |||||||
\(272\) | − | 73.1272i | − | 0.268850i | ||||||
\(273\) | 43.8788 | + | 36.1096i | 0.160728 | + | 0.132270i | ||||
\(274\) | 725.161 | 2.64657 | ||||||||
\(275\) | −78.3631 | − | 45.2429i | −0.284957 | − | 0.164520i | ||||
\(276\) | −61.9313 | + | 5.31825i | −0.224389 | + | 0.0192690i | ||||
\(277\) | 66.1143 | + | 114.513i | 0.238680 | + | 0.413406i | 0.960336 | − | 0.278846i | \(-0.0899520\pi\) |
−0.721656 | + | 0.692252i | \(0.756619\pi\) | |||||||
\(278\) | −162.739 | − | 93.9572i | −0.585391 | − | 0.337975i | ||||
\(279\) | −145.786 | − | 174.877i | −0.522531 | − | 0.626798i | ||||
\(280\) | −9.42352 | − | 33.6615i | −0.0336554 | − | 0.120220i | ||||
\(281\) | 33.0779i | 0.117715i | 0.998266 | + | 0.0588574i | \(0.0187457\pi\) | ||||
−0.998266 | + | 0.0588574i | \(0.981254\pi\) | |||||||
\(282\) | 255.577 | − | 178.347i | 0.906302 | − | 0.632436i | ||||
\(283\) | −39.7064 | − | 68.7735i | −0.140305 | − | 0.243016i | 0.787306 | − | 0.616562i | \(-0.211475\pi\) |
−0.927612 | + | 0.373546i | \(0.878142\pi\) | |||||||
\(284\) | 151.458 | − | 87.4445i | 0.533304 | − | 0.307903i | ||||
\(285\) | 113.484 | + | 162.627i | 0.398191 | + | 0.570620i | ||||
\(286\) | −131.091 | −0.458360 | ||||||||
\(287\) | 193.926 | + | 189.644i | 0.675699 | + | 0.660780i | ||||
\(288\) | −283.202 | + | 236.092i | −0.983341 | + | 0.819762i | ||||
\(289\) | −136.805 | + | 236.954i | −0.473375 | + | 0.819910i | ||||
\(290\) | 97.8124 | − | 56.4720i | 0.337284 | − | 0.194731i | ||||
\(291\) | 8.43154 | + | 98.1856i | 0.0289744 | + | 0.337408i | ||||
\(292\) | −47.0430 | + | 81.4809i | −0.161106 | + | 0.279044i | ||||
\(293\) | 127.804i | 0.436192i | 0.975927 | + | 0.218096i | \(0.0699846\pi\) | ||||
−0.975927 | + | 0.218096i | \(0.930015\pi\) | |||||||
\(294\) | 360.004 | + | 158.876i | 1.22450 | + | 0.540395i | ||||
\(295\) | 53.3231 | 0.180756 | ||||||||
\(296\) | 129.595 | + | 74.8219i | 0.437822 | + | 0.252777i | ||||
\(297\) | 343.843 | + | 347.167i | 1.15772 | + | 1.16891i | ||||
\(298\) | 78.7663 | + | 136.427i | 0.264316 | + | 0.457809i | ||||
\(299\) | 15.3381 | + | 8.85548i | 0.0512981 | + | 0.0296170i | ||||
\(300\) | −43.0047 | − | 20.1374i | −0.143349 | − | 0.0671248i | ||||
\(301\) | −312.775 | + | 319.836i | −1.03912 | + | 1.06258i | ||||
\(302\) | 686.550i | 2.27335i | ||||||||
\(303\) | −104.519 | − | 149.779i | −0.344947 | − | 0.494320i | ||||
\(304\) | −275.534 | − | 477.239i | −0.906361 | − | 1.56986i | ||||
\(305\) | −98.1561 | + | 56.6705i | −0.321823 | + | 0.185805i | ||||
\(306\) | −93.1270 | + | 16.1131i | −0.304337 | + | 0.0526572i | ||||
\(307\) | 178.227 | 0.580545 | 0.290273 | − | 0.956944i | \(-0.406254\pi\) | ||||
0.290273 | + | 0.956944i | \(0.406254\pi\) | |||||||
\(308\) | −386.188 | + | 108.113i | −1.25386 | + | 0.351017i | ||||
\(309\) | 120.228 | + | 56.2982i | 0.389088 | + | 0.182195i | ||||
\(310\) | −75.7105 | + | 131.135i | −0.244228 | + | 0.423015i | ||||
\(311\) | 440.590 | − | 254.375i | 1.41669 | − | 0.817926i | 0.420683 | − | 0.907208i | \(-0.361790\pi\) |
0.996006 | + | 0.0892815i | \(0.0284571\pi\) | |||||||
\(312\) | 18.0631 | − | 1.55114i | 0.0578945 | − | 0.00497160i | ||||
\(313\) | 149.067 | − | 258.191i | 0.476251 | − | 0.824892i | −0.523378 | − | 0.852100i | \(-0.675329\pi\) |
0.999630 | + | 0.0272088i | \(0.00866190\pi\) | |||||||
\(314\) | − | 196.437i | − | 0.625597i | ||||||
\(315\) | −127.196 | + | 60.5491i | −0.403797 | + | 0.192219i | ||||
\(316\) | −94.8623 | −0.300197 | ||||||||
\(317\) | −272.046 | − | 157.066i | −0.858190 | − | 0.495476i | 0.00521565 | − | 0.999986i | \(-0.498340\pi\) |
−0.863406 | + | 0.504510i | \(0.831673\pi\) | |||||||
\(318\) | 0.624490 | + | 7.27222i | 0.00196381 | + | 0.0228686i | ||||
\(319\) | 170.737 | + | 295.726i | 0.535227 | + | 0.927040i | ||||
\(320\) | 67.9712 | + | 39.2432i | 0.212410 | + | 0.122635i | ||||
\(321\) | 190.579 | − | 406.992i | 0.593703 | − | 1.26789i | ||||
\(322\) | 118.810 | + | 30.4177i | 0.368974 | + | 0.0944650i | ||||
\(323\) | − | 115.969i | − | 0.359038i | ||||||
\(324\) | 195.372 | + | 166.083i | 0.602999 | + | 0.512601i | ||||
\(325\) | 6.76507 | + | 11.7174i | 0.0208156 | + | 0.0360537i | ||||
\(326\) | −150.218 | + | 86.7284i | −0.460791 | + | 0.266038i | ||||
\(327\) | −202.461 | + | 141.282i | −0.619147 | + | 0.432054i | ||||
\(328\) | 86.5351 | 0.263826 | ||||||||
\(329\) | −261.597 | + | 73.2340i | −0.795128 | + | 0.222596i | ||||
\(330\) | 137.812 | − | 294.305i | 0.417611 | − | 0.891834i | ||||
\(331\) | 72.4842 | − | 125.546i | 0.218985 | − | 0.379294i | −0.735513 | − | 0.677511i | \(-0.763059\pi\) |
0.954498 | + | 0.298217i | \(0.0963920\pi\) | |||||||
\(332\) | −215.210 | + | 124.252i | −0.648224 | + | 0.374253i | ||||
\(333\) | 208.078 | − | 566.035i | 0.624858 | − | 1.69981i | ||||
\(334\) | 278.961 | − | 483.174i | 0.835212 | − | 1.44663i | ||||
\(335\) | − | 155.298i | − | 0.463576i | ||||||
\(336\) | 366.558 | − | 137.398i | 1.09095 | − | 0.408923i | ||||
\(337\) | −187.624 | −0.556748 | −0.278374 | − | 0.960473i | \(-0.589796\pi\) | ||||
−0.278374 | + | 0.960473i | \(0.589796\pi\) | |||||||
\(338\) | −374.809 | − | 216.396i | −1.10890 | − | 0.640226i | ||||
\(339\) | −167.867 | + | 14.4153i | −0.495184 | + | 0.0425231i | ||||
\(340\) | 13.8847 | + | 24.0491i | 0.0408375 | + | 0.0707326i | ||||
\(341\) | −396.472 | − | 228.903i | −1.16267 | − | 0.671270i | ||||
\(342\) | −547.049 | + | 456.047i | −1.59956 | + | 1.33347i | ||||
\(343\) | −250.522 | − | 234.281i | −0.730385 | − | 0.683035i | ||||
\(344\) | 142.720i | 0.414884i | ||||||||
\(345\) | −36.0054 | + | 25.1253i | −0.104363 | + | 0.0728270i | ||||
\(346\) | 235.507 | + | 407.911i | 0.680657 | + | 1.17893i | ||||
\(347\) | −516.443 | + | 298.168i | −1.48831 | + | 0.859274i | −0.999911 | − | 0.0133476i | \(-0.995751\pi\) |
−0.488396 | + | 0.872622i | \(0.662418\pi\) | |||||||
\(348\) | 102.551 | + | 146.959i | 0.294686 | + | 0.422295i | ||||
\(349\) | −44.7573 | −0.128244 | −0.0641221 | − | 0.997942i | \(-0.520425\pi\) | ||||
−0.0641221 | + | 0.997942i | \(0.520425\pi\) | |||||||
\(350\) | 66.9850 | + | 65.5060i | 0.191386 | + | 0.187160i | ||||
\(351\) | −18.5704 | − | 70.6633i | −0.0529071 | − | 0.201320i | ||||
\(352\) | −370.695 | + | 642.062i | −1.05311 | + | 1.82404i | ||||
\(353\) | −552.513 | + | 318.993i | −1.56519 | + | 0.903664i | −0.568475 | + | 0.822701i | \(0.692466\pi\) |
−0.996717 | + | 0.0809631i | \(0.974200\pi\) | |||||||
\(354\) | 16.3850 | + | 190.804i | 0.0462852 | + | 0.538993i | ||||
\(355\) | 61.7651 | − | 106.980i | 0.173986 | − | 0.301353i | ||||
\(356\) | 487.717i | 1.36999i | ||||||||
\(357\) | 81.2626 | + | 13.5291i | 0.227626 | + | 0.0378967i | ||||
\(358\) | 369.544 | 1.03224 | ||||||||
\(359\) | 95.5156 | + | 55.1460i | 0.266060 | + | 0.153610i | 0.627096 | − | 0.778942i | \(-0.284243\pi\) |
−0.361036 | + | 0.932552i | \(0.617577\pi\) | |||||||
\(360\) | −15.5067 | + | 42.1831i | −0.0430743 | + | 0.117175i | ||||
\(361\) | −256.457 | − | 444.196i | −0.710407 | − | 1.23046i | ||||
\(362\) | 511.076 | + | 295.070i | 1.41181 | + | 0.815110i | ||||
\(363\) | 561.058 | + | 262.722i | 1.54561 | + | 0.723751i | ||||
\(364\) | 58.0923 | + | 14.8728i | 0.159594 | + | 0.0408594i | ||||
\(365\) | 66.4562i | 0.182072i | ||||||||
\(366\) | −232.942 | − | 333.814i | −0.636455 | − | 0.912060i | ||||
\(367\) | −296.749 | − | 513.984i | −0.808581 | − | 1.40050i | −0.913847 | − | 0.406059i | \(-0.866903\pi\) |
0.105266 | − | 0.994444i | \(-0.466430\pi\) | |||||||
\(368\) | 105.660 | − | 61.0029i | 0.287120 | − | 0.165769i | ||||
\(369\) | −59.4564 | − | 343.633i | −0.161128 | − | 0.931255i | ||||
\(370\) | −401.088 | −1.08402 | ||||||||
\(371\) | 1.57796 | − | 6.16343i | 0.00425327 | − | 0.0166130i | ||||
\(372\) | −217.579 | − | 101.884i | −0.584890 | − | 0.273881i | ||||
\(373\) | 92.0852 | − | 159.496i | 0.246877 | − | 0.427604i | −0.715781 | − | 0.698325i | \(-0.753929\pi\) |
0.962658 | + | 0.270722i | \(0.0872623\pi\) | |||||||
\(374\) | −164.581 | + | 95.0209i | −0.440056 | + | 0.254067i | ||||
\(375\) | −33.4180 | + | 2.86972i | −0.0891147 | + | 0.00765259i | ||||
\(376\) | −43.3335 | + | 75.0558i | −0.115249 | + | 0.199616i | ||||
\(377\) | − | 51.0599i | − | 0.135437i | ||||||
\(378\) | −255.744 | − | 436.534i | −0.676573 | − | 1.15485i | ||||
\(379\) | 486.561 | 1.28380 | 0.641901 | − | 0.766787i | \(-0.278146\pi\) | ||||
0.641901 | + | 0.766787i | \(0.278146\pi\) | |||||||
\(380\) | 181.228 | + | 104.632i | 0.476915 | + | 0.275347i | ||||
\(381\) | 8.05477 | + | 93.7982i | 0.0211411 | + | 0.246189i | ||||
\(382\) | 255.000 | + | 441.672i | 0.667538 | + | 1.15621i | ||||
\(383\) | 517.073 | + | 298.532i | 1.35006 | + | 0.779458i | 0.988258 | − | 0.152797i | \(-0.0488280\pi\) |
0.361803 | + | 0.932255i | \(0.382161\pi\) | |||||||
\(384\) | 88.9393 | − | 189.935i | 0.231613 | − | 0.494623i | ||||
\(385\) | −198.051 | + | 202.522i | −0.514417 | + | 0.526032i | ||||
\(386\) | 270.838i | 0.701653i | ||||||||
\(387\) | 566.745 | − | 98.0599i | 1.46446 | − | 0.253385i | ||||
\(388\) | 51.9956 | + | 90.0591i | 0.134009 | + | 0.232111i | ||||
\(389\) | −262.695 | + | 151.667i | −0.675310 | + | 0.389890i | −0.798085 | − | 0.602544i | \(-0.794154\pi\) |
0.122776 | + | 0.992434i | \(0.460820\pi\) | |||||||
\(390\) | −39.8492 | + | 27.8076i | −0.102177 | + | 0.0713016i | ||||
\(391\) | 25.6755 | 0.0656661 | ||||||||
\(392\) | −109.401 | + | 2.44280i | −0.279085 | + | 0.00623164i | ||||
\(393\) | 0.300303 | − | 0.641316i | 0.000764130 | − | 0.00163185i | ||||
\(394\) | 98.2514 | − | 170.176i | 0.249369 | − | 0.431920i | ||||
\(395\) | −58.0276 | + | 33.5022i | −0.146905 | + | 0.0848158i | ||||
\(396\) | 483.954 | + | 177.904i | 1.22211 | + | 0.449253i | ||||
\(397\) | −140.150 | + | 242.747i | −0.353022 | + | 0.611452i | −0.986777 | − | 0.162081i | \(-0.948179\pi\) |
0.633755 | + | 0.773534i | \(0.281513\pi\) | |||||||
\(398\) | 210.651i | 0.529274i | ||||||||
\(399\) | 581.307 | − | 217.894i | 1.45691 | − | 0.546100i | ||||
\(400\) | 93.2053 | 0.233013 | ||||||||
\(401\) | 110.748 | + | 63.9406i | 0.276180 | + | 0.159453i | 0.631693 | − | 0.775219i | \(-0.282360\pi\) |
−0.355513 | + | 0.934671i | \(0.615694\pi\) | |||||||
\(402\) | 555.695 | − | 47.7195i | 1.38233 | − | 0.118705i | ||||
\(403\) | 34.2273 | + | 59.2835i | 0.0849313 | + | 0.147105i | ||||
\(404\) | −166.910 | − | 96.3658i | −0.413145 | − | 0.238529i | ||||
\(405\) | 178.165 | + | 32.5946i | 0.439912 | + | 0.0804805i | ||||
\(406\) | −95.3173 | − | 340.480i | −0.234772 | − | 0.838622i | ||||
\(407\) | − | 1212.65i | − | 2.97948i | ||||||
\(408\) | 21.5534 | − | 15.0404i | 0.0528269 | − | 0.0368637i | ||||
\(409\) | −48.0455 | − | 83.2172i | −0.117471 | − | 0.203465i | 0.801294 | − | 0.598271i | \(-0.204145\pi\) |
−0.918765 | + | 0.394806i | \(0.870812\pi\) | |||||||
\(410\) | −200.865 | + | 115.969i | −0.489914 | + | 0.282852i | ||||
\(411\) | 465.073 | + | 666.464i | 1.13156 | + | 1.62157i | ||||
\(412\) | 140.091 | 0.340026 | ||||||||
\(413\) | 41.4016 | − | 161.712i | 0.100246 | − | 0.391555i | ||||
\(414\) | −100.968 | − | 121.116i | −0.243885 | − | 0.292551i | ||||
\(415\) | −87.7634 | + | 152.011i | −0.211478 | + | 0.366291i | ||||
\(416\) | 96.0059 | − | 55.4290i | 0.230783 | − | 0.133243i | ||||
\(417\) | −18.0183 | − | 209.824i | −0.0432094 | − | 0.503175i | ||||
\(418\) | −716.053 | + | 1240.24i | −1.71305 | + | 2.96708i | ||||
\(419\) | − | 339.702i | − | 0.810745i | −0.914152 | − | 0.405373i | \(-0.867142\pi\) | ||
0.914152 | − | 0.405373i | \(-0.132858\pi\) | |||||||
\(420\) | −94.4605 | + | 114.784i | −0.224906 | + | 0.273296i | ||||
\(421\) | −323.174 | −0.767634 | −0.383817 | − | 0.923409i | \(-0.625391\pi\) | ||||
−0.383817 | + | 0.923409i | \(0.625391\pi\) | |||||||
\(422\) | −60.5891 | − | 34.9811i | −0.143576 | − | 0.0828937i | ||||
\(423\) | 327.822 | + | 120.509i | 0.774993 | + | 0.284892i | ||||
\(424\) | −1.01488 | − | 1.75782i | −0.00239359 | − | 0.00414581i | ||||
\(425\) | 16.9867 | + | 9.80727i | 0.0399687 | + | 0.0230759i | ||||
\(426\) | 401.782 | + | 188.139i | 0.943150 | + | 0.441640i | ||||
\(427\) | 95.6523 | + | 341.677i | 0.224010 | + | 0.800180i | ||||
\(428\) | − | 474.230i | − | 1.10801i | ||||||
\(429\) | −84.0735 | − | 120.480i | −0.195976 | − | 0.280839i | ||||
\(430\) | −191.265 | − | 331.281i | −0.444803 | − | 0.770421i | ||||
\(431\) | −234.768 | + | 135.543i | −0.544705 | + | 0.314485i | −0.746984 | − | 0.664843i | \(-0.768499\pi\) |
0.202279 | + | 0.979328i | \(0.435165\pi\) | |||||||
\(432\) | −485.527 | − | 132.603i | −1.12390 | − | 0.306950i | ||||
\(433\) | 642.220 | 1.48319 | 0.741594 | − | 0.670849i | \(-0.234070\pi\) | ||||
0.741594 | + | 0.670849i | \(0.234070\pi\) | |||||||
\(434\) | 338.905 | + | 331.423i | 0.780888 | + | 0.763646i | ||||
\(435\) | 114.632 | + | 53.6775i | 0.263521 | + | 0.123397i | ||||
\(436\) | −130.261 | + | 225.618i | −0.298763 | + | 0.517473i | ||||
\(437\) | 167.562 | − | 96.7418i | 0.383437 | − | 0.221377i | ||||
\(438\) | −237.797 | + | 20.4205i | −0.542916 | + | 0.0466221i | ||||
\(439\) | −267.354 | + | 463.071i | −0.609007 | + | 1.05483i | 0.382398 | + | 0.923998i | \(0.375098\pi\) |
−0.991404 | + | 0.130833i | \(0.958235\pi\) | |||||||
\(440\) | 90.3712i | 0.205389i | ||||||||
\(441\) | 84.8676 | + | 432.757i | 0.192444 | + | 0.981308i | ||||
\(442\) | 28.4165 | 0.0642907 | ||||||||
\(443\) | −174.920 | − | 100.990i | −0.394854 | − | 0.227969i | 0.289407 | − | 0.957206i | \(-0.406542\pi\) |
−0.684261 | + | 0.729237i | \(0.739875\pi\) | |||||||
\(444\) | −54.4482 | − | 634.052i | −0.122631 | − | 1.42805i | ||||
\(445\) | 172.246 | + | 298.339i | 0.387069 | + | 0.670424i | ||||
\(446\) | −888.322 | − | 512.873i | −1.99175 | − | 1.14994i | ||||
\(447\) | −74.8685 | + | 159.886i | −0.167491 | + | 0.357688i | ||||
\(448\) | 171.787 | − | 175.666i | 0.383453 | − | 0.392111i | ||||
\(449\) | − | 751.940i | − | 1.67470i | −0.546668 | − | 0.837350i | \(-0.684104\pi\) | ||
0.546668 | − | 0.837350i | \(-0.315896\pi\) | |||||||
\(450\) | −20.5372 | − | 118.696i | −0.0456382 | − | 0.263770i | ||||
\(451\) | −350.622 | − | 607.294i | −0.777431 | − | 1.34655i | ||||
\(452\) | −153.973 | + | 88.8966i | −0.340649 | + | 0.196674i | ||||
\(453\) | −630.978 | + | 440.310i | −1.39289 | + | 0.971987i | ||||
\(454\) | −641.380 | −1.41273 | ||||||||
\(455\) | 40.7878 | − | 11.4185i | 0.0896436 | − | 0.0250957i | ||||
\(456\) | 83.9901 | − | 179.366i | 0.184189 | − | 0.393347i | ||||
\(457\) | −7.76422 | + | 13.4480i | −0.0169895 | + | 0.0294268i | −0.874395 | − | 0.485214i | \(-0.838742\pi\) |
0.857406 | + | 0.514641i | \(0.172075\pi\) | |||||||
\(458\) | 826.964 | − | 477.448i | 1.80560 | − | 1.04246i | ||||
\(459\) | −74.5346 | − | 75.2551i | −0.162385 | − | 0.163954i | ||||
\(460\) | −23.1654 | + | 40.1236i | −0.0503595 | + | 0.0872253i | ||||
\(461\) | 344.491i | 0.747269i | 0.927576 | + | 0.373634i | \(0.121888\pi\) | ||||
−0.927576 | + | 0.373634i | \(0.878112\pi\) | |||||||
\(462\) | −785.533 | − | 646.445i | −1.70029 | − | 1.39923i | ||||
\(463\) | −172.651 | −0.372896 | −0.186448 | − | 0.982465i | \(-0.559698\pi\) | ||||
−0.186448 | + | 0.982465i | \(0.559698\pi\) | |||||||
\(464\) | −304.614 | − | 175.869i | −0.656495 | − | 0.379027i | ||||
\(465\) | −169.076 | + | 14.5191i | −0.363604 | + | 0.0312239i | ||||
\(466\) | −79.6129 | − | 137.894i | −0.170843 | − | 0.295909i | ||||
\(467\) | 593.172 | + | 342.468i | 1.27018 | + | 0.733336i | 0.975021 | − | 0.222113i | \(-0.0712955\pi\) |
0.295155 | + | 0.955449i | \(0.404629\pi\) | |||||||
\(468\) | −49.3687 | − | 59.2199i | −0.105489 | − | 0.126538i | ||||
\(469\) | −470.969 | − | 120.578i | −1.00420 | − | 0.257095i | ||||
\(470\) | − | 232.292i | − | 0.494239i | ||||||
\(471\) | 180.537 | − | 125.982i | 0.383306 | − | 0.267479i | ||||
\(472\) | −26.6278 | − | 46.1207i | −0.0564148 | − | 0.0977133i | ||||
\(473\) | 1001.60 | − | 578.271i | 2.11754 | − | 1.22256i | ||||
\(474\) | −137.710 | − | 197.343i | −0.290528 | − | 0.416335i | ||||
\(475\) | 147.810 | 0.311179 | ||||||||
\(476\) | 83.7137 | − | 23.4356i | 0.175869 | − | 0.0492345i | ||||
\(477\) | −6.28307 | + | 5.23788i | −0.0131720 | + | 0.0109809i | ||||
\(478\) | 374.251 | − | 648.221i | 0.782951 | − | 1.35611i | ||||
\(479\) | −204.293 | + | 117.949i | −0.426499 | + | 0.246239i | −0.697854 | − | 0.716240i | \(-0.745862\pi\) |
0.271355 | + | 0.962479i | \(0.412528\pi\) | |||||||
\(480\) | 23.5128 | + | 273.808i | 0.0489851 | + | 0.570433i | ||||
\(481\) | −90.6623 | + | 157.032i | −0.188487 | + | 0.326469i | ||||
\(482\) | 590.958i | 1.22605i | ||||||||
\(483\) | 48.2415 | + | 128.701i | 0.0998788 | + | 0.266461i | ||||
\(484\) | 653.749 | 1.35072 | ||||||||
\(485\) | 63.6118 | + | 36.7263i | 0.131158 | + | 0.0757243i | ||||
\(486\) | −61.8860 | + | 647.533i | −0.127337 | + | 1.33237i | ||||
\(487\) | −261.107 | − | 452.251i | −0.536155 | − | 0.928647i | −0.999106 | − | 0.0422639i | \(-0.986543\pi\) |
0.462952 | − | 0.886384i | \(-0.346790\pi\) | |||||||
\(488\) | 98.0317 | + | 56.5987i | 0.200885 | + | 0.115981i | ||||
\(489\) | −176.049 | − | 82.4366i | −0.360017 | − | 0.168582i | ||||
\(490\) | 250.668 | − | 152.283i | 0.511567 | − | 0.310783i | ||||
\(491\) | 907.148i | 1.84755i | 0.382933 | + | 0.923776i | \(0.374914\pi\) | ||||
−0.382933 | + | 0.923776i | \(0.625086\pi\) | |||||||
\(492\) | −210.595 | − | 301.790i | −0.428039 | − | 0.613394i | ||||
\(493\) | −37.0106 | − | 64.1042i | −0.0750722 | − | 0.130029i | ||||
\(494\) | 185.450 | − | 107.070i | 0.375405 | − | 0.216740i | ||||
\(495\) | 358.867 | − | 62.0921i | 0.724983 | − | 0.125439i | ||||
\(496\) | 471.565 | 0.950736 | ||||||||
\(497\) | −276.481 | − | 270.376i | −0.556300 | − | 0.544017i | ||||
\(498\) | −570.900 | − | 267.330i | −1.14639 | − | 0.536808i | ||||
\(499\) | −23.5236 | + | 40.7441i | −0.0471415 | + | 0.0816515i | −0.888633 | − | 0.458618i | \(-0.848345\pi\) |
0.841492 | + | 0.540270i | \(0.181678\pi\) | |||||||
\(500\) | −30.6521 | + | 17.6970i | −0.0613042 | + | 0.0353940i | ||||
\(501\) | 622.972 | − | 53.4968i | 1.24346 | − | 0.106780i | ||||
\(502\) | 387.757 | − | 671.614i | 0.772424 | − | 1.33788i | ||||
\(503\) | − | 55.4203i | − | 0.110180i | −0.998481 | − | 0.0550898i | \(-0.982455\pi\) | ||
0.998481 | − | 0.0550898i | \(-0.0175445\pi\) | |||||||
\(504\) | 115.888 | + | 79.7791i | 0.229936 | + | 0.158292i | ||||
\(505\) | −136.133 | −0.269570 | ||||||||
\(506\) | −274.588 | − | 158.534i | −0.542664 | − | 0.313307i | ||||
\(507\) | −41.4987 | − | 483.254i | −0.0818514 | − | 0.953163i | ||||
\(508\) | 49.6722 | + | 86.0347i | 0.0977798 | + | 0.169360i | ||||
\(509\) | −220.030 | − | 127.035i | −0.432280 | − | 0.249577i | 0.268038 | − | 0.963408i | \(-0.413625\pi\) |
−0.700317 | + | 0.713832i | \(0.746958\pi\) | |||||||
\(510\) | −29.8733 | + | 63.7963i | −0.0585751 | + | 0.125091i | ||||
\(511\) | 201.541 | + | 51.5985i | 0.394404 | + | 0.100976i | ||||
\(512\) | − | 597.151i | − | 1.16631i | ||||||
\(513\) | −769.975 | − | 210.289i | −1.50093 | − | 0.409919i | ||||
\(514\) | 209.206 | + | 362.355i | 0.407015 | + | 0.704970i | ||||
\(515\) | 85.6940 | − | 49.4754i | 0.166396 | − | 0.0960688i | ||||
\(516\) | 497.735 | − | 347.330i | 0.964602 | − | 0.673120i | ||||
\(517\) | 702.312 | 1.35844 | ||||||||
\(518\) | −311.416 | + | 1216.37i | −0.601190 | + | 2.34821i | ||||
\(519\) | −223.853 | + | 478.052i | −0.431317 | + | 0.921103i | ||||
\(520\) | 6.75649 | − | 11.7026i | 0.0129933 | − | 0.0225050i | ||||
\(521\) | 188.089 | − | 108.593i | 0.361016 | − | 0.208433i | −0.308510 | − | 0.951221i | \(-0.599830\pi\) |
0.669526 | + | 0.742788i | \(0.266497\pi\) | |||||||
\(522\) | −156.848 | + | 426.675i | −0.300475 | + | 0.817385i | ||||
\(523\) | 260.787 | − | 451.696i | 0.498636 | − | 0.863664i | −0.501362 | − | 0.865237i | \(-0.667168\pi\) |
0.999999 | + | 0.00157381i | \(0.000500960\pi\) | |||||||
\(524\) | − | 0.747265i | − | 0.00142608i | ||||||
\(525\) | −17.2438 | + | 103.574i | −0.0328452 | + | 0.197285i | ||||
\(526\) | −77.4300 | −0.147205 | ||||||||
\(527\) | 85.9429 | + | 49.6191i | 0.163079 | + | 0.0941540i | ||||
\(528\) | −1008.34 | + | 86.5897i | −1.90974 | + | 0.163996i | ||||
\(529\) | −243.081 | − | 421.029i | −0.459511 | − | 0.795897i | ||||
\(530\) | 4.71147 | + | 2.72017i | 0.00888957 | + | 0.00513239i | ||||
\(531\) | −164.851 | + | 137.428i | −0.310454 | + | 0.258810i | ||||
\(532\) | 458.025 | − | 468.367i | 0.860950 | − | 0.880389i | ||||
\(533\) | 104.855i | 0.196726i | ||||||||
\(534\) | −1014.60 | + | 708.012i | −1.90001 | + | 1.32587i | ||||
\(535\) | −167.483 | − | 290.088i | −0.313052 | − | 0.542221i | ||||
\(536\) | −134.322 | + | 77.5506i | −0.250600 | + | 0.144684i | ||||
\(537\) | 237.002 | + | 339.631i | 0.441344 | + | 0.632461i | ||||
\(538\) | −542.822 | −1.00896 | ||||||||
\(539\) | 460.414 | + | 757.869i | 0.854200 | + | 1.40606i | ||||
\(540\) | 184.851 | − | 48.5790i | 0.342316 | − | 0.0899610i | ||||
\(541\) | 39.6152 | − | 68.6156i | 0.0732260 | − | 0.126831i | −0.827087 | − | 0.562073i | \(-0.810004\pi\) |
0.900313 | + | 0.435242i | \(0.143337\pi\) | |||||||
\(542\) | 878.750 | − | 507.347i | 1.62131 | − | 0.936064i | ||||
\(543\) | 56.5860 | + | 658.947i | 0.104210 | + | 1.21353i | ||||
\(544\) | 80.3551 | − | 139.179i | 0.147712 | − | 0.255844i | ||||
\(545\) | 184.015i | 0.337643i | ||||||||
\(546\) | 53.3916 | + | 142.441i | 0.0977868 | + | 0.260880i | ||||
\(547\) | −280.601 | −0.512982 | −0.256491 | − | 0.966547i | \(-0.582566\pi\) | ||||
−0.256491 | + | 0.966547i | \(0.582566\pi\) | |||||||
\(548\) | 742.693 | + | 428.794i | 1.35528 | + | 0.782471i | ||||
\(549\) | 157.399 | − | 428.174i | 0.286702 | − | 0.779917i | ||||
\(550\) | −121.110 | − | 209.769i | −0.220201 | − | 0.381399i | ||||
\(551\) | −483.073 | − | 278.902i | −0.876721 | − | 0.506175i | ||||
\(552\) | 39.7115 | + | 18.5953i | 0.0719411 | + | 0.0336872i | ||||
\(553\) | 56.5474 | + | 201.991i | 0.102256 | + | 0.365265i | ||||
\(554\) | 353.961i | 0.638920i | ||||||||
\(555\) | −257.233 | − | 368.623i | −0.463482 | − | 0.664185i | ||||
\(556\) | −111.115 | − | 192.457i | −0.199848 | − | 0.346147i | ||||
\(557\) | −798.395 | + | 460.954i | −1.43338 | + | 0.827565i | −0.997377 | − | 0.0723785i | \(-0.976941\pi\) |
−0.436007 | + | 0.899943i | \(0.643608\pi\) | |||||||
\(558\) | −103.906 | − | 600.535i | −0.186212 | − | 1.07623i | ||||
\(559\) | −172.935 | −0.309365 | ||||||||
\(560\) | 72.3672 | − | 282.662i | 0.129227 | − | 0.504754i | ||||
\(561\) | −192.881 | − | 90.3189i | −0.343817 | − | 0.160996i | ||||
\(562\) | −44.2729 | + | 76.6829i | −0.0787774 | + | 0.136446i | ||||
\(563\) | 210.180 | − | 121.347i | 0.373321 | − | 0.215537i | −0.301587 | − | 0.953439i | \(-0.597516\pi\) |
0.674909 | + | 0.737901i | \(0.264183\pi\) | |||||||
\(564\) | 367.214 | − | 31.5339i | 0.651089 | − | 0.0559112i | ||||
\(565\) | −62.7907 | + | 108.757i | −0.111134 | + | 0.192490i | ||||
\(566\) | − | 212.579i | − | 0.375581i | ||||||
\(567\) | 237.181 | − | 515.009i | 0.418309 | − | 0.908305i | ||||
\(568\) | −123.374 | −0.217207 | ||||||||
\(569\) | 247.611 | + | 142.958i | 0.435168 | + | 0.251245i | 0.701546 | − | 0.712624i | \(-0.252493\pi\) |
−0.266378 | + | 0.963869i | \(0.585827\pi\) | |||||||
\(570\) | 45.4187 | + | 528.902i | 0.0796819 | + | 0.927899i | ||||
\(571\) | 432.123 | + | 748.459i | 0.756783 | + | 1.31079i | 0.944483 | + | 0.328560i | \(0.106563\pi\) |
−0.187701 | + | 0.982226i | \(0.560103\pi\) | |||||||
\(572\) | −134.260 | − | 77.5153i | −0.234721 | − | 0.135516i | ||||
\(573\) | −242.381 | + | 517.620i | −0.423004 | + | 0.903350i | ||||
\(574\) | 195.741 | + | 699.201i | 0.341012 | + | 1.21812i | ||||
\(575\) | 32.7250i | 0.0569131i | ||||||||
\(576\) | −311.277 | + | 53.8579i | −0.540411 | + | 0.0935034i | ||||
\(577\) | 348.257 | + | 603.199i | 0.603566 | + | 1.04541i | 0.992276 | + | 0.124046i | \(0.0395872\pi\) |
−0.388711 | + | 0.921360i | \(0.627080\pi\) | |||||||
\(578\) | −634.299 | + | 366.213i | −1.09740 | + | 0.633586i | ||||
\(579\) | −248.915 | + | 173.698i | −0.429905 | + | 0.299997i | ||||
\(580\) | 133.570 | 0.230292 | ||||||||
\(581\) | 392.858 | + | 384.184i | 0.676175 | + | 0.661246i | ||||
\(582\) | −111.870 | + | 238.904i | −0.192216 | + | 0.410489i | ||||
\(583\) | −8.22416 | + | 14.2447i | −0.0141066 | + | 0.0244334i | ||||
\(584\) | 57.4799 | − | 33.1860i | 0.0984244 | − | 0.0568254i | ||||
\(585\) | −51.1135 | − | 18.7896i | −0.0873736 | − | 0.0321190i | ||||
\(586\) | −171.059 | + | 296.283i | −0.291909 | + | 0.505602i | ||||
\(587\) | − | 596.728i | − | 1.01657i | −0.861188 | − | 0.508287i | \(-0.830279\pi\) | ||
0.861188 | − | 0.508287i | \(-0.169721\pi\) | |||||||
\(588\) | 274.763 | + | 375.591i | 0.467283 | + | 0.638759i | ||||
\(589\) | 747.834 | 1.26967 | ||||||||
\(590\) | 123.617 | + | 71.3700i | 0.209520 | + | 0.120966i | ||||
\(591\) | 219.414 | − | 18.8418i | 0.371259 | − | 0.0318813i | ||||
\(592\) | 624.547 | + | 1081.75i | 1.05498 | + | 1.82728i | ||||
\(593\) | −394.499 | − | 227.764i | −0.665260 | − | 0.384088i | 0.129019 | − | 0.991642i | \(-0.458817\pi\) |
−0.794278 | + | 0.607554i | \(0.792151\pi\) | |||||||
\(594\) | 332.453 | + | 1265.04i | 0.559685 | + | 2.12969i | ||||
\(595\) | 42.9313 | − | 43.9006i | 0.0721534 | − | 0.0737825i | ||||
\(596\) | 186.301i | 0.312585i | ||||||||
\(597\) | −193.600 | + | 135.098i | −0.324289 | + | 0.226295i | ||||
\(598\) | 23.7051 | + | 41.0585i | 0.0396407 | + | 0.0686597i | ||||
\(599\) | 974.123 | − | 562.410i | 1.62625 | − | 0.938915i | 0.641049 | − | 0.767500i | \(-0.278499\pi\) |
0.985199 | − | 0.171415i | \(-0.0548338\pi\) | |||||||
\(600\) | 19.1699 | + | 27.4711i | 0.0319499 | + | 0.0457852i | ||||
\(601\) | −1026.03 | −1.70721 | −0.853603 | − | 0.520923i | \(-0.825588\pi\) | ||||
−0.853603 | + | 0.520923i | \(0.825588\pi\) | |||||||
\(602\) | −1153.17 | + | 322.831i | −1.91557 | + | 0.536264i | ||||
\(603\) | 400.245 | + | 480.111i | 0.663756 | + | 0.796204i | ||||
\(604\) | −405.963 | + | 703.149i | −0.672124 | + | 1.16415i | ||||
\(605\) | 399.900 | − | 230.883i | 0.660992 | − | 0.381624i | ||||
\(606\) | −41.8305 | − | 487.118i | −0.0690273 | − | 0.803826i | ||||
\(607\) | 302.447 | − | 523.854i | 0.498266 | − | 0.863022i | −0.501732 | − | 0.865023i | \(-0.667304\pi\) |
0.999998 | + | 0.00200136i | \(0.000637054\pi\) | |||||||
\(608\) | − | 1211.07i | − | 1.99189i | ||||||
\(609\) | 251.790 | − | 305.965i | 0.413448 | − | 0.502405i | ||||
\(610\) | −303.401 | −0.497379 | ||||||||
\(611\) | −90.9456 | − | 52.5075i | −0.148847 | − | 0.0859369i | ||||
\(612\) | −104.906 | − | 38.5642i | −0.171416 | − | 0.0630133i | ||||
\(613\) | −377.326 | − | 653.548i | −0.615540 | − | 1.06615i | −0.990289 | − | 0.139021i | \(-0.955605\pi\) |
0.374749 | − | 0.927126i | \(-0.377729\pi\) | |||||||
\(614\) | 413.176 | + | 238.548i | 0.672926 | + | 0.388514i | ||||
\(615\) | −235.404 | − | 110.231i | −0.382771 | − | 0.179237i | ||||
\(616\) | 274.067 | + | 70.1668i | 0.444914 | + | 0.113907i | ||||
\(617\) | 145.504i | 0.235825i | 0.993024 | + | 0.117912i | \(0.0376202\pi\) | ||||
−0.993024 | + | 0.117912i | \(0.962380\pi\) | |||||||
\(618\) | 203.368 | + | 291.432i | 0.329074 | + | 0.471573i | ||||
\(619\) | 425.339 | + | 736.709i | 0.687139 | + | 1.19016i | 0.972759 | + | 0.231817i | \(0.0744671\pi\) |
−0.285620 | + | 0.958343i | \(0.592200\pi\) | |||||||
\(620\) | −155.082 | + | 89.5366i | −0.250132 | + | 0.144414i | ||||
\(621\) | 46.5577 | − | 170.472i | 0.0749721 | − | 0.274512i | ||||
\(622\) | 1361.87 | 2.18950 | ||||||||
\(623\) | 1038.50 | − | 290.728i | 1.66694 | − | 0.466659i | ||||
\(624\) | 137.048 | + | 64.1745i | 0.219629 | + | 0.102844i | ||||
\(625\) | −12.5000 | + | 21.6506i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 691.149 | − | 399.035i | 1.10407 | − | 0.637436i | ||||
\(627\) | −1599.08 | + | 137.319i | −2.55037 | + | 0.219009i | ||||
\(628\) | 116.155 | − | 201.187i | 0.184960 | − | 0.320361i | ||||
\(629\) | 262.865i | 0.417909i | ||||||||
\(630\) | −375.914 | − | 29.8765i | −0.596689 | − | 0.0474230i | ||||
\(631\) | −1034.07 | −1.63878 | −0.819390 | − | 0.573237i | \(-0.805687\pi\) | ||||
−0.819390 | + | 0.573237i | \(0.805687\pi\) | |||||||
\(632\) | 57.9541 | + | 33.4598i | 0.0916995 | + | 0.0529427i | ||||
\(633\) | −6.70839 | − | 78.1195i | −0.0105978 | − | 0.123412i | ||||
\(634\) | −420.448 | − | 728.238i | −0.663168 | − | 1.14864i | ||||
\(635\) | 60.7693 | + | 35.0852i | 0.0956997 | + | 0.0552522i | ||||
\(636\) | −3.66054 | + | 7.81730i | −0.00575556 | + | 0.0122914i | ||||
\(637\) | −2.95996 | − | 132.562i | −0.00464672 | − | 0.208104i | ||||
\(638\) | 914.090i | 1.43274i | ||||||||
\(639\) | 84.7673 | + | 489.920i | 0.132656 | + | 0.766698i | ||||
\(640\) | −78.1608 | − | 135.379i | −0.122126 | − | 0.211529i | ||||
\(641\) | −619.639 | + | 357.749i | −0.966675 | + | 0.558110i | −0.898221 | − | 0.439544i | \(-0.855140\pi\) |
−0.0684543 | + | 0.997654i | \(0.521807\pi\) | |||||||
\(642\) | 986.546 | − | 688.433i | 1.53668 | − | 1.07233i | ||||
\(643\) | 47.5168 | 0.0738986 | 0.0369493 | − | 0.999317i | \(-0.488236\pi\) | ||||
0.0369493 | + | 0.999317i | \(0.488236\pi\) | |||||||
\(644\) | 103.696 | + | 101.406i | 0.161019 | + | 0.157463i | ||||
\(645\) | 181.801 | − | 388.246i | 0.281861 | − | 0.601932i | ||||
\(646\) | 155.218 | − | 268.846i | 0.240276 | − | 0.416170i | ||||
\(647\) | −790.372 | + | 456.321i | −1.22159 | + | 0.705288i | −0.965258 | − | 0.261299i | \(-0.915849\pi\) |
−0.256337 | + | 0.966587i | \(0.582516\pi\) | |||||||
\(648\) | −60.7774 | − | 170.376i | −0.0937923 | − | 0.262926i | ||||
\(649\) | −215.780 | + | 373.742i | −0.332481 | + | 0.575874i | ||||
\(650\) | 36.2187i | 0.0557210i | ||||||||
\(651\) | −87.2434 | + | 524.027i | −0.134015 | + | 0.804956i | ||||
\(652\) | −205.133 | −0.314621 | ||||||||
\(653\) | −474.633 | − | 274.029i | −0.726850 | − | 0.419647i | 0.0904189 | − | 0.995904i | \(-0.471179\pi\) |
−0.817269 | + | 0.576257i | \(0.804513\pi\) | |||||||
\(654\) | −658.454 | + | 56.5437i | −1.00681 | + | 0.0864583i | ||||
\(655\) | −0.263910 | − | 0.457105i | −0.000402916 | − | 0.000697870i | ||||
\(656\) | 625.546 | + | 361.159i | 0.953576 | + | 0.550547i | ||||
\(657\) | −171.276 | − | 205.453i | −0.260694 | − | 0.312713i | ||||
\(658\) | −704.468 | − | 180.358i | −1.07062 | − | 0.274101i | ||||
\(659\) | 682.581i | 1.03578i | 0.855446 | + | 0.517891i | \(0.173283\pi\) | ||||
−0.855446 | + | 0.517891i | \(0.826717\pi\) | |||||||
\(660\) | 315.168 | − | 219.931i | 0.477528 | − | 0.333229i | ||||
\(661\) | −300.416 | − | 520.336i | −0.454487 | − | 0.787195i | 0.544171 | − | 0.838974i | \(-0.316844\pi\) |
−0.998659 | + | 0.0517791i | \(0.983511\pi\) | |||||||
\(662\) | 336.073 | − | 194.032i | 0.507664 | − | 0.293100i | ||||
\(663\) | 18.2245 | + | 26.1164i | 0.0274880 | + | 0.0393912i | ||||
\(664\) | 175.304 | 0.264012 | ||||||||
\(665\) | 114.764 | − | 448.261i | 0.172577 | − | 0.674077i | ||||
\(666\) | 1239.98 | − | 1033.71i | 1.86184 | − | 1.55212i | ||||
\(667\) | 61.7487 | − | 106.952i | 0.0925768 | − | 0.160348i | ||||
\(668\) | 571.410 | − | 329.904i | 0.855405 | − | 0.493868i | ||||
\(669\) | −98.3545 | − | 1145.34i | −0.147017 | − | 1.71202i | ||||
\(670\) | 207.858 | − | 360.020i | 0.310235 | − | 0.537343i | ||||
\(671\) | − | 917.302i | − | 1.36707i | ||||||
\(672\) | 848.629 | + | 141.285i | 1.26284 | + | 0.210246i | ||||
\(673\) | −161.729 | −0.240310 | −0.120155 | − | 0.992755i | \(-0.538339\pi\) | ||||
−0.120155 | + | 0.992755i | \(0.538339\pi\) | |||||||
\(674\) | −434.961 | − | 251.125i | −0.645342 | − | 0.372588i | ||||
\(675\) | 95.9174 | − | 94.9992i | 0.142100 | − | 0.140740i | ||||
\(676\) | −255.914 | − | 443.256i | −0.378571 | − | 0.655704i | ||||
\(677\) | 104.116 | + | 60.1113i | 0.153790 | + | 0.0887907i | 0.574920 | − | 0.818210i | \(-0.305033\pi\) |
−0.421130 | + | 0.907000i | \(0.638366\pi\) | |||||||
\(678\) | −408.453 | − | 191.263i | −0.602438 | − | 0.282098i | ||||
\(679\) | 160.769 | − | 164.399i | 0.236773 | − | 0.242119i | ||||
\(680\) | − | 19.5897i | − | 0.0288084i | ||||||
\(681\) | −411.340 | − | 589.464i | −0.604024 | − | 0.865586i | ||||
\(682\) | −612.748 | − | 1061.31i | −0.898458 | − | 1.55617i | ||||
\(683\) | −292.871 | + | 169.089i | −0.428801 | + | 0.247569i | −0.698836 | − | 0.715282i | \(-0.746298\pi\) |
0.270034 | + | 0.962851i | \(0.412965\pi\) | |||||||
\(684\) | −829.939 | + | 143.598i | −1.21336 | + | 0.209939i | ||||
\(685\) | 605.744 | 0.884298 | ||||||||
\(686\) | −267.202 | − | 878.433i | −0.389507 | − | 1.28051i | ||||
\(687\) | 969.163 | + | 453.821i | 1.41072 | + | 0.660584i | ||||
\(688\) | −595.650 | + | 1031.70i | −0.865771 | + | 1.49956i | ||||
\(689\) | 2.12997 | − | 1.22974i | 0.00309139 | − | 0.00178482i | ||||
\(690\) | −117.098 | + | 10.0556i | −0.169708 | + | 0.0145734i | ||||
\(691\) | 165.191 | − | 286.119i | 0.239061 | − | 0.414065i | −0.721384 | − | 0.692535i | \(-0.756494\pi\) |
0.960445 | + | 0.278470i | \(0.0898272\pi\) | |||||||
\(692\) | 557.030i | 0.804956i | ||||||||
\(693\) | 90.3286 | − | 1136.54i | 0.130344 | − | 1.64003i | ||||
\(694\) | −1596.33 | −2.30018 | ||||||||
\(695\) | −135.939 | − | 78.4846i | −0.195596 | − | 0.112928i | ||||
\(696\) | −10.8160 | − | 125.953i | −0.0155402 | − | 0.180967i | ||||
\(697\) | 76.0039 | + | 131.643i | 0.109044 | + | 0.188870i | ||||
\(698\) | −103.759 | − | 59.9051i | −0.148651 | − | 0.0858239i | ||||
\(699\) | 75.6732 | − | 161.605i | 0.108259 | − | 0.231194i | ||||
\(700\) | 29.8702 | + | 106.699i | 0.0426717 | + | 0.152426i | ||||
\(701\) | − | 462.419i | − | 0.659656i | −0.944041 | − | 0.329828i | \(-0.893009\pi\) | ||
0.944041 | − | 0.329828i | \(-0.106991\pi\) | |||||||
\(702\) | 51.5280 | − | 188.671i | 0.0734018 | − | 0.268762i | ||||
\(703\) | 990.442 | + | 1715.50i | 1.40888 | + | 2.44025i | ||||
\(704\) | −550.111 | + | 317.607i | −0.781408 | + | 0.451146i | ||||
\(705\) | 213.490 | − | 148.977i | 0.302822 | − | 0.211316i | ||||
\(706\) | −1707.82 | −2.41901 | ||||||||
\(707\) | −105.697 | + | 412.848i | −0.149501 | + | 0.583943i | ||||
\(708\) | −96.0428 | + | 205.105i | −0.135654 | + | 0.289697i | ||||
\(709\) | 277.738 | − | 481.056i | 0.391732 | − | 0.678500i | −0.600946 | − | 0.799290i | \(-0.705209\pi\) |
0.992678 | + | 0.120790i | \(0.0385427\pi\) | |||||||
\(710\) | 286.374 | − | 165.338i | 0.403344 | − | 0.232871i | ||||
\(711\) | 93.0508 | − | 253.127i | 0.130873 | − | 0.356015i | ||||
\(712\) | 172.028 | − | 297.961i | 0.241612 | − | 0.418484i | ||||
\(713\) | 165.570i | 0.232216i | ||||||||
\(714\) | 170.279 | + | 140.129i | 0.238486 | + | 0.196260i | ||||
\(715\) | −109.503 | −0.153152 | ||||||||
\(716\) | 378.478 | + | 218.514i | 0.528601 | + | 0.305188i | ||||
\(717\) | 835.773 | − | 71.7707i | 1.16565 | − | 0.100099i | ||||
\(718\) | 147.620 | + | 255.685i | 0.205598 | + | 0.356107i | ||||
\(719\) | −874.330 | − | 504.795i | −1.21604 | − | 0.702079i | −0.251968 | − | 0.967736i | \(-0.581078\pi\) |
−0.964068 | + | 0.265657i | \(0.914411\pi\) | |||||||
\(720\) | −288.149 | + | 240.215i | −0.400207 | + | 0.333632i | ||||
\(721\) | −83.5081 | − | 298.297i | −0.115823 | − | 0.413726i | ||||
\(722\) | − | 1373.01i | − | 1.90168i | ||||||
\(723\) | −543.123 | + | 379.003i | −0.751208 | + | 0.524209i | ||||
\(724\) | 348.955 | + | 604.407i | 0.481982 | + | 0.834817i | ||||
\(725\) | 81.7050 | − | 47.1724i | 0.112697 | − | 0.0650654i | ||||
\(726\) | 949.037 | + | 1360.00i | 1.30721 | + | 1.87328i | ||||
\(727\) | −448.687 | −0.617177 | −0.308588 | − | 0.951196i | \(-0.599857\pi\) | ||||
−0.308588 | + | 0.951196i | \(0.599857\pi\) | |||||||
\(728\) | −30.2443 | − | 29.5765i | −0.0415444 | − | 0.0406271i | ||||
\(729\) | −634.809 | + | 358.410i | −0.870795 | + | 0.491647i | ||||
\(730\) | −88.9480 | + | 154.062i | −0.121847 | + | 0.211044i | ||||
\(731\) | −217.115 | + | 125.351i | −0.297011 | + | 0.171479i | ||||
\(732\) | −41.1871 | − | 479.625i | −0.0562665 | − | 0.655226i | ||||
\(733\) | −50.8478 | + | 88.0709i | −0.0693694 | + | 0.120151i | −0.898624 | − | 0.438720i | \(-0.855432\pi\) |
0.829254 | + | 0.558871i | \(0.188765\pi\) | |||||||
\(734\) | − | 1588.73i | − | 2.16448i | ||||||
\(735\) | 300.720 | + | 132.713i | 0.409142 | + | 0.180562i | ||||
\(736\) | 268.130 | 0.364307 | ||||||||
\(737\) | 1088.48 | + | 628.436i | 1.47691 | + | 0.852695i | ||||
\(738\) | 322.099 | − | 876.208i | 0.436448 | − | 1.18727i | ||||
\(739\) | 94.0310 | + | 162.866i | 0.127241 | + | 0.220388i | 0.922607 | − | 0.385742i | \(-0.126055\pi\) |
−0.795366 | + | 0.606130i | \(0.792721\pi\) | |||||||
\(740\) | −410.785 | − | 237.167i | −0.555115 | − | 0.320496i | ||||
\(741\) | 217.339 | + | 101.771i | 0.293305 | + | 0.137343i | ||||
\(742\) | 11.9075 | − | 12.1764i | 0.0160479 | − | 0.0164102i | ||||
\(743\) | − | 122.415i | − | 0.164757i | −0.996601 | − | 0.0823786i | \(-0.973748\pi\) | ||
0.996601 | − | 0.0823786i | \(-0.0262517\pi\) | |||||||
\(744\) | 96.9888 | + | 138.988i | 0.130361 | + | 0.186812i | ||||
\(745\) | 65.7953 | + | 113.961i | 0.0883158 | + | 0.152967i | ||||
\(746\) | 426.954 | − | 246.502i | 0.572324 | − | 0.330431i | ||||
\(747\) | −120.448 | − | 696.138i | −0.161242 | − | 0.931912i | ||||
\(748\) | −224.747 | −0.300464 | ||||||||
\(749\) | −1009.78 | + | 282.689i | −1.34818 | + | 0.377421i | ||||
\(750\) | −81.3124 | − | 38.0754i | −0.108417 | − | 0.0507673i | ||||
\(751\) | 330.331 | − | 572.150i | 0.439855 | − | 0.761850i | −0.557823 | − | 0.829960i | \(-0.688363\pi\) |
0.997678 | + | 0.0681093i | \(0.0216967\pi\) | |||||||
\(752\) | −626.499 | + | 361.709i | −0.833110 | + | 0.480996i | ||||
\(753\) | 865.934 | − | 74.3607i | 1.14998 | − | 0.0987526i | ||||
\(754\) | 68.3408 | − | 118.370i | 0.0906377 | − | 0.156989i | ||||
\(755\) | 573.492i | 0.759591i | ||||||||
\(756\) | −3.80112 | − | 598.312i | −0.00502793 | − | 0.791418i | ||||
\(757\) | 225.258 | 0.297567 | 0.148783 | − | 0.988870i | \(-0.452464\pi\) | ||||
0.148783 | + | 0.988870i | \(0.452464\pi\) | |||||||
\(758\) | 1127.97 | + | 651.235i | 1.48809 | + | 0.859149i | ||||
\(759\) | −30.4022 | − | 354.035i | −0.0400556 | − | 0.466450i | ||||
\(760\) | −73.8114 | − | 127.845i | −0.0971203 | − | 0.168217i | ||||
\(761\) | −1106.40 | − | 638.781i | −1.45388 | − | 0.839396i | −0.455179 | − | 0.890400i | \(-0.650425\pi\) |
−0.998698 | + | 0.0510038i | \(0.983758\pi\) | |||||||
\(762\) | −106.871 | + | 228.229i | −0.140250 | + | 0.299513i | ||||
\(763\) | 558.060 | + | 142.875i | 0.731403 | + | 0.187254i | ||||
\(764\) | 603.134i | 0.789442i | ||||||||
\(765\) | −77.7912 | + | 13.4596i | −0.101688 | + | 0.0175943i | ||||
\(766\) | 799.138 | + | 1384.15i | 1.04326 | + | 1.80698i | ||||
\(767\) | 55.8847 | − | 32.2651i | 0.0728614 | − | 0.0420666i | ||||
\(768\) | 805.817 | − | 562.316i | 1.04924 | − | 0.732183i | ||||
\(769\) | 282.171 | 0.366933 | 0.183466 | − | 0.983026i | \(-0.441268\pi\) | ||||
0.183466 | + | 0.983026i | \(0.441268\pi\) | |||||||
\(770\) | −730.197 | + | 204.418i | −0.948308 | + | 0.265478i | ||||
\(771\) | −198.853 | + | 424.663i | −0.257916 | + | 0.550795i | ||||
\(772\) | −160.149 | + | 277.386i | −0.207447 | + | 0.359308i | ||||
\(773\) | −1175.22 | + | 678.511i | −1.52033 | + | 0.877763i | −0.520618 | + | 0.853790i | \(0.674298\pi\) |
−0.999713 | + | 0.0239731i | \(0.992368\pi\) | |||||||
\(774\) | 1445.11 | + | 531.230i | 1.86706 | + | 0.686343i | ||||
\(775\) | −63.2428 | + | 109.540i | −0.0816036 | + | 0.141342i | ||||
\(776\) | − | 73.3595i | − | 0.0945355i | ||||||
\(777\) | −1317.64 | + | 493.896i | −1.69580 | + | 0.635644i | ||||
\(778\) | −811.993 | −1.04369 | ||||||||
\(779\) | 992.025 | + | 572.746i | 1.27346 | + | 0.735232i | ||||
\(780\) | −57.2555 | + | 4.91673i | −0.0734045 | + | 0.00630350i | ||||
\(781\) | 499.884 | + | 865.824i | 0.640056 | + | 1.10861i | ||||
\(782\) | 59.5222 | + | 34.3652i | 0.0761154 | + | 0.0439452i | ||||
\(783\) | −492.731 | + | 129.490i | −0.629286 | + | 0.165377i | ||||
\(784\) | −801.036 | − | 438.934i | −1.02173 | − | 0.559864i | ||||
\(785\) | − | 164.089i | − | 0.209030i | ||||||
\(786\) | 1.55454 | − | 1.08479i | 0.00197779 | − | 0.00138014i | ||||
\(787\) | 5.69060 | + | 9.85641i | 0.00723075 | + | 0.0125240i | 0.869618 | − | 0.493725i | \(-0.164365\pi\) |
−0.862387 | + | 0.506249i | \(0.831032\pi\) | |||||||
\(788\) | 201.254 | − | 116.194i | 0.255398 | − | 0.147454i | ||||
\(789\) | −49.6587 | − | 71.1625i | −0.0629388 | − | 0.0901933i | ||||
\(790\) | −179.364 | −0.227042 | ||||||||
\(791\) | 281.072 | + | 274.866i | 0.355338 | + | 0.347492i | ||||
\(792\) | −232.911 | − | 279.387i | −0.294080 | − | 0.352761i | ||||
\(793\) | −68.5810 | + | 118.786i | −0.0864830 | + | 0.149793i | ||||
\(794\) | −649.805 | + | 375.165i | −0.818395 | + | 0.472500i | ||||
\(795\) | 0.521651 | + | 6.07465i | 0.000656165 | + | 0.00764107i | ||||
\(796\) | −124.560 | + | 215.744i | −0.156482 | + | 0.271035i | ||||
\(797\) | 592.055i | 0.742855i | 0.928462 | + | 0.371427i | \(0.121132\pi\) | ||||
−0.928462 | + | 0.371427i | \(0.878868\pi\) | |||||||
\(798\) | 1639.26 | + | 272.914i | 2.05421 | + | 0.341998i | ||||
\(799\) | −152.239 | −0.190538 | ||||||||
\(800\) | 177.393 | + | 102.418i | 0.221741 | + | 0.128022i | ||||
\(801\) | −1301.41 | − | 478.404i | −1.62473 | − | 0.597259i | ||||
\(802\) | 171.162 | + | 296.461i | 0.213419 | + | 0.369652i | ||||
\(803\) | −465.792 | − | 268.925i | −0.580065 | − | 0.334901i | ||||
\(804\) | 597.347 | + | 279.714i | 0.742969 | + | 0.347903i | ||||
\(805\) | 99.2446 | + | 25.4086i | 0.123285 | + | 0.0315635i | ||||
\(806\) | 183.246i | 0.227352i | ||||||||
\(807\) | −348.132 | − | 498.884i | −0.431390 | − | 0.618195i | ||||
\(808\) | 67.9802 | + | 117.745i | 0.0841340 | + | 0.145724i | ||||
\(809\) | 382.368 | − | 220.760i | 0.472643 | − | 0.272880i | −0.244703 | − | 0.969598i | \(-0.578690\pi\) |
0.717345 | + | 0.696718i | \(0.245357\pi\) | |||||||
\(810\) | 369.404 | + | 314.026i | 0.456055 | + | 0.387686i | ||||
\(811\) | 991.633 | 1.22273 | 0.611364 | − | 0.791349i | \(-0.290621\pi\) | ||||
0.611364 | + | 0.791349i | \(0.290621\pi\) | |||||||
\(812\) | 103.707 | − | 405.074i | 0.127718 | − | 0.498860i | ||||
\(813\) | 1029.86 | + | 482.241i | 1.26673 | + | 0.593162i | ||||
\(814\) | 1623.06 | − | 2811.23i | 1.99394 | − | 3.45360i | ||||
\(815\) | −125.481 | + | 72.4462i | −0.153964 | + | 0.0888911i | ||||
\(816\) | 218.577 | − | 18.7700i | 0.267864 | − | 0.0230024i | ||||
\(817\) | −944.616 | + | 1636.12i | −1.15620 | + | 2.00260i | ||||
\(818\) | − | 257.225i | − | 0.314456i | ||||||
\(819\) | −96.6690 | + | 140.422i | −0.118033 | + | 0.171456i | ||||
\(820\) | −274.295 | −0.334506 | ||||||||
\(821\) | 1124.01 | + | 648.945i | 1.36907 | + | 0.790432i | 0.990809 | − | 0.135267i | \(-0.0431893\pi\) |
0.378260 | + | 0.925699i | \(0.376523\pi\) | |||||||
\(822\) | 186.131 | + | 2167.51i | 0.226437 | + | 2.63687i | ||||
\(823\) | −351.690 | − | 609.145i | −0.427327 | − | 0.740152i | 0.569308 | − | 0.822125i | \(-0.307211\pi\) |
−0.996635 | + | 0.0819727i | \(0.973878\pi\) | |||||||
\(824\) | −85.5854 | − | 49.4128i | −0.103866 | − | 0.0599669i | ||||
\(825\) | 115.117 | − | 245.840i | 0.139536 | − | 0.297988i | ||||
\(826\) | 312.422 | − | 319.476i | 0.378235 | − | 0.386775i | ||||
\(827\) | 288.953i | 0.349400i | 0.984622 | + | 0.174700i | \(0.0558955\pi\) | ||||
−0.984622 | + | 0.174700i | \(0.944105\pi\) | |||||||
\(828\) | −31.7925 | − | 183.748i | −0.0383968 | − | 0.221917i | ||||
\(829\) | 130.042 | + | 225.240i | 0.156866 | + | 0.271701i | 0.933737 | − | 0.357960i | \(-0.116527\pi\) |
−0.776871 | + | 0.629660i | \(0.783194\pi\) | |||||||
\(830\) | −406.916 | + | 234.933i | −0.490260 | + | 0.283052i | ||||
\(831\) | −325.311 | + | 227.009i | −0.391469 | + | 0.273175i | ||||
\(832\) | 94.9820 | 0.114161 | ||||||||
\(833\) | −99.8035 | − | 164.283i | −0.119812 | − | 0.197218i | ||||
\(834\) | 239.067 | − | 510.542i | 0.286651 | − | 0.612161i | ||||
\(835\) | 233.023 | − | 403.607i | 0.279069 | − | 0.483362i | ||||
\(836\) | −1466.73 | + | 846.817i | −1.75446 | + | 1.01294i | ||||
\(837\) | 485.287 | − | 480.641i | 0.579793 | − | 0.574243i | ||||
\(838\) | 454.673 | − | 787.516i | 0.542569 | − | 0.939756i | ||||
\(839\) | − | 233.481i | − | 0.278285i | −0.990272 | − | 0.139142i | \(-0.955565\pi\) | ||
0.990272 | − | 0.139142i | \(-0.0444346\pi\) | |||||||
\(840\) | 98.1953 | − | 36.8070i | 0.116899 | − | 0.0438178i | ||||
\(841\) | 484.962 | 0.576650 | ||||||||
\(842\) | −749.199 | − | 432.550i | −0.889785 | − | 0.513718i | ||||
\(843\) | −98.8697 | + | 8.49028i | −0.117283 | + | 0.0100715i | ||||
\(844\) | −41.3693 | − | 71.6537i | −0.0490158 | − | 0.0848978i | ||||
\(845\) | −313.087 | − | 180.761i | −0.370517 | − | 0.213918i | ||||
\(846\) | 598.680 | + | 718.142i | 0.707659 | + | 0.848868i | ||||
\(847\) | −389.700 | − | 1392.03i | −0.460094 | − | 1.64349i | ||||
\(848\) | − | 16.9426i | − | 0.0199795i | ||||||
\(849\) | 195.372 | − | 136.335i | 0.230120 | − | 0.160583i | ||||
\(850\) | 26.2530 | + | 45.4715i | 0.0308859 | + | 0.0534959i | ||||
\(851\) | −379.809 | + | 219.283i | −0.446309 | + | 0.257677i | ||||
\(852\) | 300.247 | + | 430.264i | 0.352403 | + | 0.505005i | ||||
\(853\) | 394.198 | 0.462131 | 0.231065 | − | 0.972938i | \(-0.425779\pi\) | ||||
0.231065 | + | 0.972938i | \(0.425779\pi\) | |||||||
\(854\) | −235.569 | + | 920.119i | −0.275842 | + | 1.07742i | ||||
\(855\) | −456.962 | + | 380.947i | −0.534459 | + | 0.445552i | ||||
\(856\) | −167.270 | + | 289.721i | −0.195409 | + | 0.338459i | ||||
\(857\) | 887.436 | − | 512.361i | 1.03551 | − | 0.597854i | 0.116955 | − | 0.993137i | \(-0.462687\pi\) |
0.918559 | + | 0.395283i | \(0.129353\pi\) | |||||||
\(858\) | −33.6479 | − | 391.831i | −0.0392166 | − | 0.456680i | ||||
\(859\) | −17.8720 | + | 30.9551i | −0.0208055 | + | 0.0360362i | −0.876241 | − | 0.481874i | \(-0.839956\pi\) |
0.855435 | + | 0.517910i | \(0.173290\pi\) | |||||||
\(860\) | − | 452.387i | − | 0.526032i | ||||||
\(861\) | −517.069 | + | 628.320i | −0.600545 | + | 0.729756i | ||||
\(862\) | −725.668 | −0.841843 | ||||||||
\(863\) | −644.308 | − | 371.991i | −0.746591 | − | 0.431045i | 0.0778698 | − | 0.996964i | \(-0.475188\pi\) |
−0.824461 | + | 0.565919i | \(0.808521\pi\) | |||||||
\(864\) | −778.369 | − | 785.892i | −0.900890 | − | 0.909597i | ||||
\(865\) | 196.725 | + | 340.737i | 0.227427 | + | 0.393916i | ||||
\(866\) | 1488.83 | + | 859.576i | 1.71920 | + | 0.992582i | ||||
\(867\) | −743.370 | − | 348.091i | −0.857404 | − | 0.401489i | ||||
\(868\) | 151.126 | + | 539.833i | 0.174108 | + | 0.621927i | ||||
\(869\) | − | 542.288i | − | 0.624036i | ||||||
\(870\) | 193.901 | + | 277.866i | 0.222875 | + | 0.319386i | ||||
\(871\) | −93.9686 | − | 162.758i | −0.107886 | − | 0.186864i | ||||
\(872\) | 159.160 | − | 91.8911i | 0.182523 | − | 0.105380i | ||||
\(873\) | −291.313 | + | 50.4037i | −0.333691 | + | 0.0577362i | ||||
\(874\) | 517.934 | 0.592602 | ||||||||
\(875\) | 55.9541 | + | 54.7187i | 0.0639476 | + | 0.0625356i | ||||
\(876\) | −255.621 | − | 119.697i | −0.291805 | − | 0.136641i | ||||
\(877\) | −54.4422 | + | 94.2966i | −0.0620777 | + | 0.107522i | −0.895394 | − | 0.445275i | \(-0.853106\pi\) |
0.833316 | + | 0.552797i | \(0.186439\pi\) | |||||||
\(878\) | −1239.59 | + | 715.677i | −1.41183 | + | 0.815122i | ||||
\(879\) | −382.007 | + | 32.8042i | −0.434592 | + | 0.0373199i | ||||
\(880\) | −377.169 | + | 653.276i | −0.428602 | + | 0.742360i | ||||
\(881\) | 798.705i | 0.906589i | 0.891361 | + | 0.453295i | \(0.149751\pi\) | ||||
−0.891361 | + | 0.453295i | \(0.850249\pi\) | |||||||
\(882\) | −382.476 | + | 1116.83i | −0.433647 | + | 1.26625i | ||||
\(883\) | 1467.29 | 1.66171 | 0.830857 | − | 0.556487i | \(-0.187851\pi\) | ||||
0.830857 | + | 0.556487i | \(0.187851\pi\) | |||||||
\(884\) | 29.1035 | + | 16.8029i | 0.0329225 | + | 0.0190078i | ||||
\(885\) | 13.6867 | + | 159.383i | 0.0154652 | + | 0.180094i | ||||
\(886\) | −270.340 | − | 468.242i | −0.305124 | − | 0.528490i | ||||
\(887\) | 738.838 | + | 426.568i | 0.832963 | + | 0.480911i | 0.854866 | − | 0.518849i | \(-0.173639\pi\) |
−0.0219031 | + | 0.999760i | \(0.506973\pi\) | |||||||
\(888\) | −190.379 | + | 406.565i | −0.214390 | + | 0.457844i | ||||
\(889\) | 153.585 | − | 157.053i | 0.172762 | − | 0.176662i | ||||
\(890\) | 922.166i | 1.03614i | ||||||||
\(891\) | −949.425 | + | 1116.86i | −1.06557 | + | 1.25349i | ||||
\(892\) | −606.533 | − | 1050.55i | −0.679969 | − | 1.17774i | ||||
\(893\) | −993.537 | + | 573.619i | −1.11258 | + | 0.642350i | ||||
\(894\) | −387.563 | + | 270.450i | −0.433516 | + | 0.302517i | ||||
\(895\) | 308.688 | 0.344903 | ||||||||
\(896\) | −471.246 | + | 131.925i | −0.525945 | + | 0.147238i | ||||
\(897\) | −22.5321 | + | 48.1187i | −0.0251194 | + | 0.0536440i | ||||
\(898\) | 1006.43 | − | 1743.19i | 1.12075 | − | 1.94119i | ||||
\(899\) | 413.380 | − | 238.665i | 0.459822 | − | 0.265478i | ||||
\(900\) | 49.1525 | − | 133.710i | 0.0546139 | − | 0.148567i | ||||
\(901\) | 1.78274 | − | 3.08780i | 0.00197863 | − | 0.00342708i | ||||
\(902\) | − | 1877.15i | − | 2.08110i | ||||||
\(903\) | −1036.27 | − | 852.789i | −1.14759 | − | 0.944395i | ||||
\(904\) | 125.422 | 0.138741 | ||||||||
\(905\) | 426.914 | + | 246.479i | 0.471728 | + | 0.272352i | ||||
\(906\) | −2052.10 | + | 176.221i | −2.26501 | + | 0.194504i | ||||
\(907\) | 297.719 | + | 515.664i | 0.328246 | + | 0.568538i | 0.982164 | − | 0.188027i | \(-0.0602093\pi\) |
−0.653918 | + | 0.756565i | \(0.726876\pi\) | |||||||
\(908\) | −656.886 | − | 379.253i | −0.723443 | − | 0.417680i | ||||
\(909\) | 420.862 | − | 350.852i | 0.462994 | − | 0.385975i | ||||
\(910\) | 109.840 | + | 28.1212i | 0.120703 | + | 0.0309024i | ||||
\(911\) | − | 303.048i | − | 0.332654i | −0.986071 | − | 0.166327i | \(-0.946809\pi\) | ||
0.986071 | − | 0.166327i | \(-0.0531907\pi\) | |||||||
\(912\) | 1355.74 | − | 946.066i | 1.48656 | − | 1.03735i | ||||
\(913\) | −710.295 | − | 1230.27i | −0.777980 | − | 1.34750i | ||||
\(914\) | −35.9989 | + | 20.7840i | −0.0393861 | + | 0.0227396i | ||||
\(915\) | −194.582 | − | 278.843i | −0.212658 | − | 0.304746i | ||||
\(916\) | 1129.28 | 1.23283 | ||||||||
\(917\) | −1.59116 | + | 0.445445i | −0.00173518 | + | 0.000485763i | ||||
\(918\) | −72.0655 | − | 274.221i | −0.0785027 | − | 0.298715i | ||||
\(919\) | −336.839 | + | 583.422i | −0.366528 | + | 0.634845i | −0.989020 | − | 0.147781i | \(-0.952787\pi\) |
0.622492 | + | 0.782626i | \(0.286120\pi\) | |||||||
\(920\) | 28.3048 | − | 16.3418i | 0.0307661 | − | 0.0177628i | ||||
\(921\) | 45.7466 | + | 532.722i | 0.0496706 | + | 0.578417i | ||||
\(922\) | −461.082 | + | 798.617i | −0.500089 | + | 0.866179i | ||||
\(923\) | − | 149.493i | − | 0.161964i | ||||||
\(924\) | −422.276 | − | 1126.57i | −0.457008 | − | 1.21923i | ||||
\(925\) | −335.038 | −0.362204 | ||||||||
\(926\) | −400.248 | − | 231.083i | −0.432234 | − | 0.249550i | ||||
\(927\) | −137.416 | + | 373.812i | −0.148237 | + | 0.403250i | ||||
\(928\) | −386.503 | − | 669.443i | −0.416491 | − | 0.721383i | ||||
\(929\) | 507.044 | + | 292.742i | 0.545795 | + | 0.315115i | 0.747424 | − | 0.664347i | \(-0.231290\pi\) |
−0.201629 | + | 0.979462i | \(0.564624\pi\) | |||||||
\(930\) | −411.394 | − | 192.640i | −0.442359 | − | 0.207140i | ||||
\(931\) | −1270.33 | − | 696.085i | −1.36448 | − | 0.747675i | ||||
\(932\) | − | 188.303i | − | 0.202042i | ||||||
\(933\) | 873.416 | + | 1251.63i | 0.936137 | + | 1.34151i | ||||
\(934\) | 916.749 | + | 1587.86i | 0.981530 | + | 1.70006i | ||||
\(935\) | −137.478 | + | 79.3732i | −0.147036 | + | 0.0848911i | ||||
\(936\) | 9.27271 | + | 53.5924i | 0.00990674 | + | 0.0572569i | ||||
\(937\) | −829.644 | −0.885426 | −0.442713 | − | 0.896663i | \(-0.645984\pi\) | ||||
−0.442713 | + | 0.896663i | \(0.645984\pi\) | |||||||
\(938\) | −930.440 | − | 909.896i | −0.991940 | − | 0.970038i | ||||
\(939\) | 809.995 | + | 379.289i | 0.862614 | + | 0.403929i | ||||
\(940\) | 137.356 | − | 237.908i | 0.146124 | − | 0.253094i | ||||
\(941\) | 607.379 | − | 350.670i | 0.645461 | − | 0.372657i | −0.141254 | − | 0.989973i | \(-0.545113\pi\) |
0.786715 | + | 0.617316i | \(0.211780\pi\) | |||||||
\(942\) | 587.151 | − | 50.4207i | 0.623303 | − | 0.0535251i | ||||
\(943\) | −126.805 | + | 219.633i | −0.134470 | + | 0.232909i | ||||
\(944\) | − | 444.530i | − | 0.470901i | ||||||
\(945\) | −213.629 | − | 364.647i | −0.226063 | − | 0.385870i | ||||
\(946\) | 3095.94 | 3.27266 | ||||||||
\(947\) | 796.450 | + | 459.830i | 0.841024 | + | 0.485565i | 0.857612 | − | 0.514297i | \(-0.171947\pi\) |
−0.0165883 | + | 0.999862i | \(0.505280\pi\) | |||||||
\(948\) | −24.3488 | − | 283.543i | −0.0256844 | − | 0.299096i | ||||
\(949\) | 40.2117 | + | 69.6487i | 0.0423727 | + | 0.0733917i | ||||
\(950\) | 342.662 | + | 197.836i | 0.360696 | + | 0.208248i | ||||
\(951\) | 399.643 | − | 853.461i | 0.420234 | − | 0.897436i | ||||
\(952\) | −59.4093 | − | 15.2100i | −0.0624047 | − | 0.0159769i | ||||
\(953\) | 664.086i | 0.696837i | 0.937339 | + | 0.348419i | \(0.113281\pi\) | ||||
−0.937339 | + | 0.348419i | \(0.886719\pi\) | |||||||
\(954\) | −21.5764 | + | 3.73320i | −0.0226167 | + | 0.00391321i | ||||
\(955\) | 213.007 | + | 368.939i | 0.223044 | + | 0.386324i | ||||
\(956\) | 766.598 | − | 442.595i | 0.801881 | − | 0.462966i | ||||
\(957\) | −840.100 | + | 586.240i | −0.877848 | + | 0.612581i | ||||
\(958\) | −631.470 | −0.659155 | ||||||||
\(959\) | 470.317 | − | 1837.03i | 0.490424 | − | 1.91557i | ||||
\(960\) | −99.8513 | + | 213.239i | −0.104012 | + | 0.222124i | ||||
\(961\) | 160.528 | − | 278.043i | 0.167043 | − | 0.289326i | ||||
\(962\) | −420.356 | + | 242.693i | −0.436961 | + | 0.252279i | ||||
\(963\) | 1265.42 | + | 465.174i | 1.31404 | + | 0.483047i | ||||
\(964\) | −349.438 | + | 605.245i | −0.362488 | + | 0.627848i | ||||
\(965\) | 226.237i | 0.234443i | ||||||||
\(966\) | −60.4230 | + | 362.930i | −0.0625497 | + | 0.375704i | ||||
\(967\) | −614.911 | −0.635895 | −0.317948 | − | 0.948108i | \(-0.602994\pi\) | ||||
−0.317948 | + | 0.948108i | \(0.602994\pi\) | |||||||
\(968\) | −399.394 | − | 230.590i | −0.412597 | − | 0.238213i | ||||
\(969\) | 346.632 | − | 29.7665i | 0.357721 | − | 0.0307187i | ||||
\(970\) | 98.3122 | + | 170.282i | 0.101353 | + | 0.175548i | ||||
\(971\) | 261.561 | + | 151.012i | 0.269372 | + | 0.155522i | 0.628602 | − | 0.777727i | \(-0.283627\pi\) |
−0.359230 | + | 0.933249i | \(0.616961\pi\) | |||||||
\(972\) | −446.274 | + | 626.595i | −0.459130 | + | 0.644645i | ||||
\(973\) | −343.566 | + | 351.323i | −0.353100 | + | 0.361072i | ||||
\(974\) | − | 1397.91i | − | 1.43523i | ||||||
\(975\) | −33.2870 | + | 23.2284i | −0.0341405 | + | 0.0238240i | ||||
\(976\) | 472.435 | + | 818.282i | 0.484053 | + | 0.838404i | ||||
\(977\) | 383.518 | − | 221.424i | 0.392546 | − | 0.226637i | −0.290716 | − | 0.956809i | \(-0.593894\pi\) |
0.683263 | + | 0.730172i | \(0.260560\pi\) | |||||||
\(978\) | −297.788 | − | 426.740i | −0.304487 | − | 0.436340i | ||||
\(979\) | −2788.08 | −2.84788 | ||||||||
\(980\) | 346.775 | − | 7.74308i | 0.353852 | − | 0.00790110i | ||||
\(981\) | −474.258 | − | 568.893i | −0.483443 | − | 0.579911i | ||||
\(982\) | −1214.17 | + | 2103.00i | −1.23642 | + | 2.14155i | ||||
\(983\) | 717.229 | − | 414.092i | 0.729632 | − | 0.421253i | −0.0886553 | − | 0.996062i | \(-0.528257\pi\) |
0.818288 | + | 0.574809i | \(0.194924\pi\) | |||||||
\(984\) | 22.2114 | + | 258.653i | 0.0225726 | + | 0.262859i | ||||
\(985\) | 82.0717 | − | 142.152i | 0.0833215 | − | 0.144317i | ||||
\(986\) | − | 198.147i | − | 0.200960i | ||||||
\(987\) | −286.042 | − | 763.116i | −0.289809 | − | 0.773167i | ||||
\(988\) | 253.245 | 0.256321 | ||||||||
\(989\) | −362.236 | − | 209.137i | −0.366265 | − | 0.211463i | ||||
\(990\) | 915.051 | + | 336.378i | 0.924293 | + | 0.339776i | ||||
\(991\) | 484.472 | + | 839.130i | 0.488872 | + | 0.846750i | 0.999918 | − | 0.0128027i | \(-0.00407532\pi\) |
−0.511046 | + | 0.859553i | \(0.670742\pi\) | |||||||
\(992\) | 897.505 | + | 518.175i | 0.904743 | + | 0.522354i | ||||
\(993\) | 393.863 | + | 184.430i | 0.396639 | + | 0.185731i | ||||
\(994\) | −279.069 | − | 996.856i | −0.280754 | − | 1.00287i | ||||
\(995\) | 175.962i | 0.176846i | ||||||||
\(996\) | −426.628 | − | 611.372i | −0.428341 | − | 0.613827i | ||||
\(997\) | −521.713 | − | 903.634i | −0.523283 | − | 0.906353i | −0.999633 | − | 0.0270969i | \(-0.991374\pi\) |
0.476350 | − | 0.879256i | \(-0.341960\pi\) | |||||||
\(998\) | −109.067 | + | 62.9701i | −0.109286 | + | 0.0630963i | ||||
\(999\) | 1745.29 | + | 476.657i | 1.74703 | + | 0.477134i |
(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 | 105.3.t.b.86.14 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.86.5 | yes | 36 | |
7.4 | even | 3 | inner | 105.3.t.b.11.5 | ✓ | 36 | |
21.11 | odd | 6 | inner | 105.3.t.b.11.14 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.5 | ✓ | 36 | 7.4 | even | 3 | inner | |
105.3.t.b.11.14 | yes | 36 | 21.11 | odd | 6 | inner | |
105.3.t.b.86.5 | yes | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.86.14 | yes | 36 | 1.1 | even | 1 | trivial |