Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,4,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.5704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 71.5 | ||
Character | \(\chi\) | \(=\) | 230.71 |
Dual form | 230.4.g.b.81.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68251 | − | 1.08128i | −0.594856 | − | 0.382291i | ||||
\(3\) | 0.839469 | + | 5.83864i | 0.161556 | + | 1.12365i | 0.895702 | + | 0.444655i | \(0.146674\pi\) |
−0.734146 | + | 0.678991i | \(0.762417\pi\) | |||||||
\(4\) | 1.66166 | + | 3.63853i | 0.207708 | + | 0.454816i | ||||
\(5\) | −4.79746 | − | 1.40866i | −0.429098 | − | 0.125995i | ||||
\(6\) | 4.90080 | − | 10.7312i | 0.333457 | − | 0.730169i | ||||
\(7\) | 5.10412 | − | 5.89047i | 0.275597 | − | 0.318055i | −0.601030 | − | 0.799226i | \(-0.705243\pi\) |
0.876627 | + | 0.481171i | \(0.159788\pi\) | |||||||
\(8\) | 1.13852 | − | 7.91857i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −7.47864 | + | 2.19593i | −0.276987 | + | 0.0813306i | ||||
\(10\) | 6.54861 | + | 7.55750i | 0.207085 | + | 0.238989i | ||||
\(11\) | 32.9368 | − | 21.1672i | 0.902801 | − | 0.580195i | −0.00481864 | − | 0.999988i | \(-0.501534\pi\) |
0.907620 | + | 0.419793i | \(0.137897\pi\) | |||||||
\(12\) | −19.8491 | + | 12.7563i | −0.477496 | + | 0.306868i | ||||
\(13\) | 4.12196 | + | 4.75700i | 0.0879405 | + | 0.101489i | 0.798014 | − | 0.602639i | \(-0.205884\pi\) |
−0.710074 | + | 0.704127i | \(0.751338\pi\) | |||||||
\(14\) | −14.9570 | + | 4.39176i | −0.285530 | + | 0.0838392i | ||||
\(15\) | 4.19734 | − | 29.1932i | 0.0722500 | − | 0.502510i | ||||
\(16\) | −10.4778 | + | 12.0920i | −0.163715 | + | 0.188937i | ||||
\(17\) | 53.3867 | − | 116.901i | 0.761658 | − | 1.66780i | 0.0174523 | − | 0.999848i | \(-0.494444\pi\) |
0.744206 | − | 0.667951i | \(-0.232828\pi\) | |||||||
\(18\) | 14.9573 | + | 4.39185i | 0.195859 | + | 0.0575094i | ||||
\(19\) | 34.0453 | + | 74.5488i | 0.411081 | + | 0.900141i | 0.996026 | + | 0.0890678i | \(0.0283888\pi\) |
−0.584945 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(20\) | −2.84630 | − | 19.7964i | −0.0318226 | − | 0.221331i | ||||
\(21\) | 38.6771 | + | 24.8562i | 0.401906 | + | 0.258289i | ||||
\(22\) | −78.3040 | −0.758840 | ||||||||
\(23\) | −28.9900 | + | 106.426i | −0.262818 | + | 0.964845i | ||||
\(24\) | 47.1894 | 0.401354 | ||||||||
\(25\) | 21.0313 | + | 13.5160i | 0.168251 | + | 0.108128i | ||||
\(26\) | −1.79158 | − | 12.4607i | −0.0135137 | − | 0.0939901i | ||||
\(27\) | 47.0614 | + | 103.050i | 0.335444 | + | 0.734519i | ||||
\(28\) | 29.9140 | + | 8.78353i | 0.201900 | + | 0.0592833i | ||||
\(29\) | −41.6960 | + | 91.3016i | −0.266992 | + | 0.584630i | −0.994880 | − | 0.101066i | \(-0.967775\pi\) |
0.727888 | + | 0.685696i | \(0.240502\pi\) | |||||||
\(30\) | −38.6281 | + | 44.5792i | −0.235083 | + | 0.271300i | ||||
\(31\) | −16.5320 | + | 114.983i | −0.0957817 | + | 0.666176i | 0.884203 | + | 0.467103i | \(0.154702\pi\) |
−0.979985 | + | 0.199073i | \(0.936207\pi\) | |||||||
\(32\) | 30.7038 | − | 9.01544i | 0.169616 | − | 0.0498038i | ||||
\(33\) | 151.237 | + | 174.537i | 0.797787 | + | 0.920695i | ||||
\(34\) | −216.226 | + | 138.960i | −1.09066 | + | 0.700925i | ||||
\(35\) | −32.7845 | + | 21.0693i | −0.158331 | + | 0.101753i | ||||
\(36\) | −20.4169 | − | 23.5624i | −0.0945227 | − | 0.109085i | ||||
\(37\) | 149.431 | − | 43.8768i | 0.663952 | − | 0.194954i | 0.0676440 | − | 0.997710i | \(-0.478452\pi\) |
0.596308 | + | 0.802756i | \(0.296634\pi\) | |||||||
\(38\) | 23.3268 | − | 162.241i | 0.0995818 | − | 0.692606i | ||||
\(39\) | −24.3141 | + | 28.0600i | −0.0998301 | + | 0.115210i | ||||
\(40\) | −16.6166 | + | 36.3853i | −0.0656829 | + | 0.143825i | ||||
\(41\) | 320.732 | + | 94.1754i | 1.22170 | + | 0.358725i | 0.828113 | − | 0.560561i | \(-0.189414\pi\) |
0.393591 | + | 0.919285i | \(0.371232\pi\) | |||||||
\(42\) | −38.1978 | − | 83.6416i | −0.140335 | − | 0.307290i | ||||
\(43\) | −20.3111 | − | 141.267i | −0.0720328 | − | 0.500999i | −0.993616 | − | 0.112818i | \(-0.964012\pi\) |
0.921583 | − | 0.388182i | \(-0.126897\pi\) | |||||||
\(44\) | 131.747 | + | 84.6687i | 0.451401 | + | 0.290098i | ||||
\(45\) | 38.9718 | 0.129102 | ||||||||
\(46\) | 163.853 | − | 147.717i | 0.525191 | − | 0.473471i | ||||
\(47\) | 51.3169 | 0.159263 | 0.0796313 | − | 0.996824i | \(-0.474626\pi\) | ||||
0.0796313 | + | 0.996824i | \(0.474626\pi\) | |||||||
\(48\) | −79.3965 | − | 51.0250i | −0.238748 | − | 0.153434i | ||||
\(49\) | 40.1684 | + | 279.377i | 0.117109 | + | 0.814511i | ||||
\(50\) | −20.7708 | − | 45.4816i | −0.0587486 | − | 0.128641i | ||||
\(51\) | 727.357 | + | 213.571i | 1.99706 | + | 0.586391i | ||||
\(52\) | −10.4592 | + | 22.9024i | −0.0278928 | + | 0.0610767i | ||||
\(53\) | 156.058 | − | 180.101i | 0.404457 | − | 0.466768i | −0.516583 | − | 0.856237i | \(-0.672796\pi\) |
0.921039 | + | 0.389469i | \(0.127342\pi\) | |||||||
\(54\) | 32.2451 | − | 224.269i | 0.0812592 | − | 0.565170i | ||||
\(55\) | −187.830 | + | 55.1520i | −0.460492 | + | 0.135213i | ||||
\(56\) | −40.8330 | − | 47.1238i | −0.0974381 | − | 0.112450i | ||||
\(57\) | −406.683 | + | 261.360i | −0.945027 | + | 0.607332i | ||||
\(58\) | 168.877 | − | 108.530i | 0.382321 | − | 0.245702i | ||||
\(59\) | 163.088 | + | 188.213i | 0.359868 | + | 0.415310i | 0.906595 | − | 0.422001i | \(-0.138672\pi\) |
−0.546728 | + | 0.837311i | \(0.684127\pi\) | |||||||
\(60\) | 113.195 | − | 33.2370i | 0.243556 | − | 0.0715146i | ||||
\(61\) | 129.077 | − | 897.750i | 0.270928 | − | 1.88435i | −0.167943 | − | 0.985797i | \(-0.553712\pi\) |
0.438871 | − | 0.898550i | \(-0.355378\pi\) | |||||||
\(62\) | 152.144 | − | 175.583i | 0.311649 | − | 0.359663i | ||||
\(63\) | −25.2368 | + | 55.2610i | −0.0504690 | + | 0.110512i | ||||
\(64\) | −61.4076 | − | 18.0309i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −13.0740 | − | 28.6280i | −0.0249481 | − | 0.0546287i | ||||
\(66\) | −65.7338 | − | 457.189i | −0.122595 | − | 0.852667i | ||||
\(67\) | −252.176 | − | 162.064i | −0.459824 | − | 0.295511i | 0.290147 | − | 0.956982i | \(-0.406296\pi\) |
−0.749970 | + | 0.661472i | \(0.769932\pi\) | |||||||
\(68\) | 514.057 | 0.916743 | ||||||||
\(69\) | −645.721 | − | 79.9201i | −1.12660 | − | 0.139438i | ||||
\(70\) | 77.9421 | 0.133084 | ||||||||
\(71\) | 915.460 | + | 588.330i | 1.53021 | + | 0.983408i | 0.989872 | + | 0.141962i | \(0.0453410\pi\) |
0.540341 | + | 0.841446i | \(0.318295\pi\) | |||||||
\(72\) | 8.87403 | + | 61.7203i | 0.0145252 | + | 0.101025i | ||||
\(73\) | 78.6079 | + | 172.127i | 0.126032 | + | 0.275972i | 0.962121 | − | 0.272621i | \(-0.0878907\pi\) |
−0.836089 | + | 0.548594i | \(0.815163\pi\) | |||||||
\(74\) | −298.861 | − | 87.7535i | −0.469485 | − | 0.137853i | ||||
\(75\) | −61.2600 | + | 134.141i | −0.0943159 | + | 0.206523i | ||||
\(76\) | −214.676 | + | 247.750i | −0.324014 | + | 0.373932i | ||||
\(77\) | 43.4287 | − | 302.053i | 0.0642747 | − | 0.447041i | ||||
\(78\) | 71.2494 | − | 20.9207i | 0.103428 | − | 0.0303693i | ||||
\(79\) | 264.691 | + | 305.470i | 0.376963 | + | 0.435038i | 0.912251 | − | 0.409631i | \(-0.134343\pi\) |
−0.535289 | + | 0.844669i | \(0.679797\pi\) | |||||||
\(80\) | 67.3003 | − | 43.2513i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | −739.206 | + | 475.059i | −1.01400 | + | 0.651658i | ||||
\(82\) | −437.803 | − | 505.252i | −0.589601 | − | 0.680436i | ||||
\(83\) | 271.864 | − | 79.8266i | 0.359530 | − | 0.105568i | −0.0969787 | − | 0.995286i | \(-0.530918\pi\) |
0.456509 | + | 0.889719i | \(0.349100\pi\) | |||||||
\(84\) | −26.1720 | + | 182.030i | −0.0339952 | + | 0.236442i | ||||
\(85\) | −420.795 | + | 485.623i | −0.536960 | + | 0.619685i | ||||
\(86\) | −118.575 | + | 259.644i | −0.148678 | + | 0.325560i | ||||
\(87\) | −568.079 | − | 166.803i | −0.700052 | − | 0.205554i | ||||
\(88\) | −130.115 | − | 284.911i | −0.157617 | − | 0.345133i | ||||
\(89\) | −20.2934 | − | 141.144i | −0.0241696 | − | 0.168103i | 0.974162 | − | 0.225853i | \(-0.0725167\pi\) |
−0.998331 | + | 0.0577491i | \(0.981608\pi\) | |||||||
\(90\) | −65.5704 | − | 42.1395i | −0.0767970 | − | 0.0493544i | ||||
\(91\) | 49.0600 | 0.0565152 | ||||||||
\(92\) | −435.407 | + | 71.3638i | −0.493416 | + | 0.0808716i | ||||
\(93\) | −685.219 | −0.764021 | ||||||||
\(94\) | −86.3411 | − | 55.4880i | −0.0947383 | − | 0.0608846i | ||||
\(95\) | −58.3170 | − | 405.604i | −0.0629810 | − | 0.438043i | ||||
\(96\) | 78.4127 | + | 171.700i | 0.0833642 | + | 0.182542i | ||||
\(97\) | −1696.01 | − | 497.995i | −1.77530 | − | 0.521275i | −0.780687 | − | 0.624922i | \(-0.785131\pi\) |
−0.994614 | + | 0.103647i | \(0.966949\pi\) | |||||||
\(98\) | 234.502 | − | 513.488i | 0.241717 | − | 0.529287i | ||||
\(99\) | −199.841 | + | 230.628i | −0.202876 | + | 0.234132i | ||||
\(100\) | −14.2315 | + | 98.9821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | −494.827 | + | 145.294i | −0.487496 | + | 0.143142i | −0.516238 | − | 0.856445i | \(-0.672668\pi\) |
0.0287421 | + | 0.999587i | \(0.490850\pi\) | |||||||
\(102\) | −992.852 | − | 1145.81i | −0.963794 | − | 1.11228i | ||||
\(103\) | −178.556 | + | 114.751i | −0.170813 | + | 0.109775i | −0.623254 | − | 0.782020i | \(-0.714190\pi\) |
0.452441 | + | 0.891794i | \(0.350553\pi\) | |||||||
\(104\) | 42.3616 | − | 27.2241i | 0.0399413 | − | 0.0256687i | ||||
\(105\) | −150.538 | − | 173.730i | −0.139914 | − | 0.161469i | ||||
\(106\) | −457.308 | + | 134.278i | −0.419035 | + | 0.123040i | ||||
\(107\) | 211.215 | − | 1469.03i | 0.190831 | − | 1.32726i | −0.638983 | − | 0.769221i | \(-0.720644\pi\) |
0.829814 | − | 0.558040i | \(-0.188446\pi\) | |||||||
\(108\) | −296.751 | + | 342.469i | −0.264397 | + | 0.305130i | ||||
\(109\) | −567.086 | + | 1241.74i | −0.498321 | + | 1.09117i | 0.478691 | + | 0.877983i | \(0.341111\pi\) |
−0.977012 | + | 0.213186i | \(0.931616\pi\) | |||||||
\(110\) | 375.661 | + | 110.304i | 0.325617 | + | 0.0956098i | ||||
\(111\) | 381.623 | + | 835.637i | 0.326325 | + | 0.714551i | ||||
\(112\) | 17.7477 | + | 123.438i | 0.0149732 | + | 0.104141i | ||||
\(113\) | −550.091 | − | 353.522i | −0.457949 | − | 0.294306i | 0.291255 | − | 0.956645i | \(-0.405927\pi\) |
−0.749204 | + | 0.662340i | \(0.769564\pi\) | |||||||
\(114\) | 966.851 | 0.794332 | ||||||||
\(115\) | 288.997 | − | 469.740i | 0.234340 | − | 0.380900i | ||||
\(116\) | −401.488 | −0.321355 | ||||||||
\(117\) | −41.2727 | − | 26.5244i | −0.0326125 | − | 0.0209588i | ||||
\(118\) | −70.8847 | − | 493.014i | −0.0553005 | − | 0.384624i | ||||
\(119\) | −416.107 | − | 911.148i | −0.320542 | − | 0.701889i | ||||
\(120\) | −226.389 | − | 66.4740i | −0.172220 | − | 0.0505684i | ||||
\(121\) | 83.8643 | − | 183.637i | 0.0630085 | − | 0.137969i | ||||
\(122\) | −1187.89 | + | 1370.90i | −0.881532 | + | 1.01734i | ||||
\(123\) | −280.611 | + | 1951.69i | −0.205706 | + | 1.43072i | ||||
\(124\) | −445.838 | + | 130.910i | −0.322882 | + | 0.0948068i | ||||
\(125\) | −81.8576 | − | 94.4687i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 102.214 | − | 65.6889i | 0.0722693 | − | 0.0464447i | ||||
\(127\) | −1196.62 | + | 769.021i | −0.836086 | + | 0.537320i | −0.887206 | − | 0.461373i | \(-0.847357\pi\) |
0.0511206 | + | 0.998692i | \(0.483721\pi\) | |||||||
\(128\) | 83.8222 | + | 96.7359i | 0.0578821 | + | 0.0667995i | ||||
\(129\) | 807.754 | − | 237.178i | 0.551308 | − | 0.161879i | ||||
\(130\) | −8.95788 | + | 62.3034i | −0.00604352 | + | 0.0420336i | ||||
\(131\) | 1766.13 | − | 2038.23i | 1.17792 | − | 1.35940i | 0.258555 | − | 0.965997i | \(-0.416754\pi\) |
0.919368 | − | 0.393399i | \(-0.128701\pi\) | |||||||
\(132\) | −383.752 | + | 840.300i | −0.253040 | + | 0.554081i | ||||
\(133\) | 612.899 | + | 179.963i | 0.399587 | + | 0.117329i | ||||
\(134\) | 249.051 | + | 545.346i | 0.160558 | + | 0.351573i | ||||
\(135\) | −80.6127 | − | 560.673i | −0.0513928 | − | 0.357445i | ||||
\(136\) | −864.904 | − | 555.840i | −0.545330 | − | 0.350463i | ||||
\(137\) | 1535.03 | 0.957272 | 0.478636 | − | 0.878013i | \(-0.341131\pi\) | ||||
0.478636 | + | 0.878013i | \(0.341131\pi\) | |||||||
\(138\) | 1000.01 | + | 832.673i | 0.616861 | + | 0.513636i | ||||
\(139\) | 1919.04 | 1.17101 | 0.585506 | − | 0.810668i | \(-0.300896\pi\) | ||||
0.585506 | + | 0.810668i | \(0.300896\pi\) | |||||||
\(140\) | −131.138 | − | 84.2774i | −0.0791657 | − | 0.0508767i | ||||
\(141\) | 43.0790 | + | 299.621i | 0.0257298 | + | 0.178955i | ||||
\(142\) | −904.117 | − | 1979.74i | −0.534309 | − | 1.16997i | ||||
\(143\) | 236.456 | + | 69.4299i | 0.138276 | + | 0.0406015i | ||||
\(144\) | 51.8064 | − | 113.440i | 0.0299805 | − | 0.0656482i | ||||
\(145\) | 328.649 | − | 379.281i | 0.188226 | − | 0.217224i | ||||
\(146\) | 53.8597 | − | 374.603i | 0.0305306 | − | 0.212345i | ||||
\(147\) | −1597.46 | + | 469.057i | −0.896303 | + | 0.263178i | ||||
\(148\) | 407.950 | + | 470.799i | 0.226576 | + | 0.261483i | ||||
\(149\) | 1581.89 | − | 1016.62i | 0.869756 | − | 0.558958i | −0.0279222 | − | 0.999610i | \(-0.508889\pi\) |
0.897678 | + | 0.440652i | \(0.145253\pi\) | |||||||
\(150\) | 248.114 | − | 159.453i | 0.135056 | − | 0.0867953i | ||||
\(151\) | −583.866 | − | 673.817i | −0.314665 | − | 0.363142i | 0.576282 | − | 0.817251i | \(-0.304503\pi\) |
−0.890946 | + | 0.454109i | \(0.849958\pi\) | |||||||
\(152\) | 629.081 | − | 184.715i | 0.335692 | − | 0.0985682i | ||||
\(153\) | −142.555 | + | 991.491i | −0.0753260 | + | 0.523904i | ||||
\(154\) | −399.673 | + | 461.248i | −0.209134 | + | 0.241353i | ||||
\(155\) | 241.283 | − | 528.337i | 0.125034 | − | 0.273787i | ||||
\(156\) | −142.499 | − | 41.8414i | −0.0731349 | − | 0.0214743i | ||||
\(157\) | 174.232 | + | 381.514i | 0.0885682 | + | 0.193937i | 0.948733 | − | 0.316079i | \(-0.102367\pi\) |
−0.860165 | + | 0.510017i | \(0.829639\pi\) | |||||||
\(158\) | −115.046 | − | 800.160i | −0.0579275 | − | 0.402894i | ||||
\(159\) | 1182.55 | + | 759.977i | 0.589825 | + | 0.379057i | ||||
\(160\) | −160.000 | −0.0790569 | ||||||||
\(161\) | 478.933 | + | 713.978i | 0.234442 | + | 0.349499i | ||||
\(162\) | 1757.39 | 0.852307 | ||||||||
\(163\) | −1306.05 | − | 839.350i | −0.627595 | − | 0.403331i | 0.187823 | − | 0.982203i | \(-0.439857\pi\) |
−0.815419 | + | 0.578872i | \(0.803493\pi\) | |||||||
\(164\) | 190.288 | + | 1323.48i | 0.0906034 | + | 0.630161i | ||||
\(165\) | −479.690 | − | 1050.38i | −0.226326 | − | 0.495585i | ||||
\(166\) | −543.729 | − | 159.653i | −0.254226 | − | 0.0746475i | ||||
\(167\) | 678.789 | − | 1486.34i | 0.314529 | − | 0.688722i | −0.684666 | − | 0.728857i | \(-0.740052\pi\) |
0.999194 | + | 0.0401357i | \(0.0127790\pi\) | |||||||
\(168\) | 240.860 | − | 277.968i | 0.110612 | − | 0.127653i | ||||
\(169\) | 307.027 | − | 2135.42i | 0.139748 | − | 0.971971i | ||||
\(170\) | 1233.08 | − | 362.066i | 0.556313 | − | 0.163348i | ||||
\(171\) | −418.316 | − | 482.763i | −0.187073 | − | 0.215894i | ||||
\(172\) | 480.252 | − | 308.640i | 0.212901 | − | 0.136823i | ||||
\(173\) | −2334.01 | + | 1499.98i | −1.02573 | + | 0.659197i | −0.941418 | − | 0.337242i | \(-0.890506\pi\) |
−0.0843128 | + | 0.996439i | \(0.526870\pi\) | |||||||
\(174\) | 775.436 | + | 894.901i | 0.337849 | + | 0.389898i | ||||
\(175\) | 186.962 | − | 54.8971i | 0.0807601 | − | 0.0237133i | ||||
\(176\) | −89.1506 | + | 620.056i | −0.0381817 | + | 0.265560i | ||||
\(177\) | −962.001 | + | 1110.21i | −0.408522 | + | 0.471460i | ||||
\(178\) | −118.472 | + | 259.418i | −0.0498869 | + | 0.109237i | ||||
\(179\) | 1923.25 | + | 564.718i | 0.803077 | + | 0.235805i | 0.657414 | − | 0.753530i | \(-0.271650\pi\) |
0.145663 | + | 0.989334i | \(0.453469\pi\) | |||||||
\(180\) | 64.7579 | + | 141.800i | 0.0268154 | + | 0.0587175i | ||||
\(181\) | 571.203 | + | 3972.81i | 0.234570 | + | 1.63147i | 0.677929 | + | 0.735127i | \(0.262878\pi\) |
−0.443359 | + | 0.896344i | \(0.646213\pi\) | |||||||
\(182\) | −82.5437 | − | 53.0476i | −0.0336184 | − | 0.0216052i | ||||
\(183\) | 5349.99 | 2.16111 | ||||||||
\(184\) | 809.740 | + | 350.728i | 0.324428 | + | 0.140522i | ||||
\(185\) | −778.695 | −0.309464 | ||||||||
\(186\) | 1152.89 | + | 740.915i | 0.454482 | + | 0.292078i | ||||
\(187\) | −716.070 | − | 4980.38i | −0.280023 | − | 1.94760i | ||||
\(188\) | 85.2713 | + | 186.718i | 0.0330800 | + | 0.0724352i | ||||
\(189\) | 847.221 | + | 248.767i | 0.326065 | + | 0.0957413i | ||||
\(190\) | −340.453 | + | 745.488i | −0.129995 | + | 0.284649i | ||||
\(191\) | −1703.91 | + | 1966.42i | −0.645500 | + | 0.744947i | −0.980337 | − | 0.197329i | \(-0.936773\pi\) |
0.334837 | + | 0.942276i | \(0.391319\pi\) | |||||||
\(192\) | 53.7260 | − | 373.673i | 0.0201945 | − | 0.140456i | ||||
\(193\) | 1194.70 | − | 350.796i | 0.445578 | − | 0.130834i | −0.0512436 | − | 0.998686i | \(-0.516318\pi\) |
0.496822 | + | 0.867853i | \(0.334500\pi\) | |||||||
\(194\) | 2315.08 | + | 2671.75i | 0.856770 | + | 0.988765i | ||||
\(195\) | 156.173 | − | 100.366i | 0.0573528 | − | 0.0368584i | ||||
\(196\) | −949.776 | + | 610.384i | −0.346128 | + | 0.222443i | ||||
\(197\) | −2285.68 | − | 2637.81i | −0.826638 | − | 0.953991i | 0.172883 | − | 0.984942i | \(-0.444692\pi\) |
−0.999521 | + | 0.0309510i | \(0.990146\pi\) | |||||||
\(198\) | 585.608 | − | 171.950i | 0.210189 | − | 0.0617169i | ||||
\(199\) | 533.764 | − | 3712.41i | 0.190138 | − | 1.32244i | −0.641500 | − | 0.767123i | \(-0.721687\pi\) |
0.831638 | − | 0.555318i | \(-0.187403\pi\) | |||||||
\(200\) | 130.972 | − | 151.150i | 0.0463056 | − | 0.0534396i | ||||
\(201\) | 734.536 | − | 1608.41i | 0.257762 | − | 0.564420i | ||||
\(202\) | 989.653 | + | 290.588i | 0.344712 | + | 0.101216i | ||||
\(203\) | 324.988 | + | 711.624i | 0.112363 | + | 0.246040i | ||||
\(204\) | 431.535 | + | 3001.39i | 0.148105 | + | 1.03009i | ||||
\(205\) | −1406.04 | − | 903.606i | −0.479034 | − | 0.307856i | ||||
\(206\) | 424.501 | 0.143575 | ||||||||
\(207\) | −16.8992 | − | 859.585i | −0.00567427 | − | 0.288624i | ||||
\(208\) | −100.711 | −0.0335722 | ||||||||
\(209\) | 2699.33 | + | 1734.75i | 0.893381 | + | 0.574141i | ||||
\(210\) | 65.4300 | + | 455.075i | 0.0215005 | + | 0.149539i | ||||
\(211\) | 382.972 | + | 838.591i | 0.124952 | + | 0.273607i | 0.961762 | − | 0.273887i | \(-0.0883094\pi\) |
−0.836810 | + | 0.547493i | \(0.815582\pi\) | |||||||
\(212\) | 914.616 | + | 268.556i | 0.296302 | + | 0.0870022i | ||||
\(213\) | −2666.55 | + | 5838.92i | −0.857788 | + | 1.87829i | ||||
\(214\) | −1943.81 | + | 2243.28i | −0.620917 | + | 0.716576i | ||||
\(215\) | −101.555 | + | 706.333i | −0.0322140 | + | 0.224054i | ||||
\(216\) | 869.591 | − | 255.335i | 0.273927 | − | 0.0804321i | ||||
\(217\) | 592.920 | + | 684.266i | 0.185484 | + | 0.214060i | ||||
\(218\) | 2296.80 | − | 1476.06i | 0.713573 | − | 0.458586i | ||||
\(219\) | −939.000 | + | 603.458i | −0.289734 | + | 0.186201i | ||||
\(220\) | −512.782 | − | 591.782i | −0.157144 | − | 0.181354i | ||||
\(221\) | 776.154 | − | 227.899i | 0.236243 | − | 0.0693673i | ||||
\(222\) | 261.476 | − | 1818.61i | 0.0790502 | − | 0.549806i | ||||
\(223\) | −2713.64 | + | 3131.71i | −0.814883 | + | 0.940425i | −0.999098 | − | 0.0424607i | \(-0.986480\pi\) |
0.184215 | + | 0.982886i | \(0.441026\pi\) | |||||||
\(224\) | 103.611 | − | 226.876i | 0.0309052 | − | 0.0676730i | ||||
\(225\) | −186.966 | − | 54.8982i | −0.0553973 | − | 0.0162661i | ||||
\(226\) | 543.275 | + | 1189.61i | 0.159903 | + | 0.350139i | ||||
\(227\) | −217.317 | − | 1511.47i | −0.0635410 | − | 0.441937i | −0.996612 | − | 0.0822455i | \(-0.973791\pi\) |
0.933071 | − | 0.359692i | \(-0.117118\pi\) | |||||||
\(228\) | −1626.73 | − | 1045.44i | −0.472513 | − | 0.303666i | ||||
\(229\) | −1560.03 | −0.450173 | −0.225086 | − | 0.974339i | \(-0.572266\pi\) | ||||
−0.225086 | + | 0.974339i | \(0.572266\pi\) | |||||||
\(230\) | −994.161 | + | 477.853i | −0.285013 | + | 0.136994i | ||||
\(231\) | 1800.03 | 0.512699 | ||||||||
\(232\) | 675.507 | + | 434.122i | 0.191160 | + | 0.122851i | ||||
\(233\) | −377.702 | − | 2626.98i | −0.106198 | − | 0.738622i | −0.971443 | − | 0.237273i | \(-0.923746\pi\) |
0.865245 | − | 0.501349i | \(-0.167163\pi\) | |||||||
\(234\) | 40.7613 | + | 89.2548i | 0.0113874 | + | 0.0249349i | ||||
\(235\) | −246.191 | − | 72.2882i | −0.0683393 | − | 0.0200662i | ||||
\(236\) | −413.823 | + | 906.145i | −0.114142 | + | 0.249937i | ||||
\(237\) | −1561.33 | + | 1801.87i | −0.427928 | + | 0.493855i | ||||
\(238\) | −285.104 | + | 1982.94i | −0.0776494 | + | 0.540063i | ||||
\(239\) | 2307.60 | − | 677.572i | 0.624544 | − | 0.183383i | 0.0458777 | − | 0.998947i | \(-0.485392\pi\) |
0.578666 | + | 0.815564i | \(0.303573\pi\) | |||||||
\(240\) | 309.025 | + | 356.634i | 0.0831145 | + | 0.0959192i | ||||
\(241\) | −5113.34 | + | 3286.14i | −1.36672 | + | 0.878336i | −0.998674 | − | 0.0514728i | \(-0.983608\pi\) |
−0.368043 | + | 0.929809i | \(0.619972\pi\) | |||||||
\(242\) | −339.666 | + | 218.290i | −0.0902254 | + | 0.0579843i | ||||
\(243\) | −1391.17 | − | 1605.49i | −0.367257 | − | 0.423837i | ||||
\(244\) | 3480.97 | − | 1022.11i | 0.913305 | − | 0.268171i | ||||
\(245\) | 200.842 | − | 1396.89i | 0.0523728 | − | 0.364261i | ||||
\(246\) | 2582.46 | − | 2980.32i | 0.669316 | − | 0.772431i | ||||
\(247\) | −214.295 | + | 469.241i | −0.0552035 | + | 0.120879i | ||||
\(248\) | 891.675 | + | 261.820i | 0.228312 | + | 0.0670385i | ||||
\(249\) | 694.300 | + | 1520.30i | 0.176705 | + | 0.386929i | ||||
\(250\) | 35.5787 | + | 247.455i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | −3453.54 | − | 2219.45i | −0.868468 | − | 0.558130i | 0.0288160 | − | 0.999585i | \(-0.490826\pi\) |
−0.897284 | + | 0.441454i | \(0.854463\pi\) | |||||||
\(252\) | −243.004 | −0.0607452 | ||||||||
\(253\) | 1297.91 | + | 4118.98i | 0.322526 | + | 1.02355i | ||||
\(254\) | 2844.85 | 0.702763 | ||||||||
\(255\) | −3188.62 | − | 2049.20i | −0.783055 | − | 0.503239i | ||||
\(256\) | −36.4326 | − | 253.394i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 1699.21 | + | 3720.75i | 0.412427 | + | 0.903089i | 0.995858 | + | 0.0909262i | \(0.0289827\pi\) |
−0.583431 | + | 0.812163i | \(0.698290\pi\) | |||||||
\(258\) | −1615.51 | − | 474.356i | −0.389834 | − | 0.114466i | ||||
\(259\) | 504.257 | − | 1104.17i | 0.120977 | − | 0.264902i | ||||
\(260\) | 82.4393 | − | 95.1400i | 0.0196641 | − | 0.0226936i | ||||
\(261\) | 111.338 | − | 774.373i | 0.0264048 | − | 0.183649i | ||||
\(262\) | −5175.43 | + | 1519.64i | −1.22038 | + | 0.358336i | ||||
\(263\) | 2272.66 | + | 2622.79i | 0.532846 | + | 0.614937i | 0.956800 | − | 0.290747i | \(-0.0939037\pi\) |
−0.423954 | + | 0.905684i | \(0.639358\pi\) | |||||||
\(264\) | 1554.27 | − | 998.867i | 0.362343 | − | 0.232864i | ||||
\(265\) | −1002.38 | + | 644.193i | −0.232362 | + | 0.149330i | ||||
\(266\) | −836.616 | − | 965.506i | −0.192843 | − | 0.222553i | ||||
\(267\) | 807.051 | − | 236.971i | 0.184984 | − | 0.0543162i | ||||
\(268\) | 170.642 | − | 1186.84i | 0.0388942 | − | 0.270515i | ||||
\(269\) | −3177.92 | + | 3667.51i | −0.720301 | + | 0.831272i | −0.991343 | − | 0.131296i | \(-0.958086\pi\) |
0.271042 | + | 0.962567i | \(0.412632\pi\) | |||||||
\(270\) | −470.614 | + | 1030.50i | −0.106077 | + | 0.232275i | ||||
\(271\) | −4476.38 | − | 1314.38i | −1.00340 | − | 0.294624i | −0.261547 | − | 0.965191i | \(-0.584233\pi\) |
−0.741849 | + | 0.670567i | \(0.766051\pi\) | |||||||
\(272\) | 854.188 | + | 1870.41i | 0.190414 | + | 0.416950i | ||||
\(273\) | 41.1843 | + | 286.443i | 0.00913036 | + | 0.0635030i | ||||
\(274\) | −2582.70 | − | 1659.80i | −0.569439 | − | 0.365956i | ||||
\(275\) | 978.801 | 0.214632 | ||||||||
\(276\) | −782.178 | − | 2482.27i | −0.170585 | − | 0.541360i | ||||
\(277\) | 1501.59 | 0.325711 | 0.162855 | − | 0.986650i | \(-0.447930\pi\) | ||||
0.162855 | + | 0.986650i | \(0.447930\pi\) | |||||||
\(278\) | −3228.79 | − | 2075.02i | −0.696583 | − | 0.447667i | ||||
\(279\) | −128.856 | − | 896.216i | −0.0276503 | − | 0.192312i | ||||
\(280\) | 129.513 | + | 283.594i | 0.0276425 | + | 0.0605286i | ||||
\(281\) | 2786.95 | + | 818.321i | 0.591656 | + | 0.173726i | 0.563835 | − | 0.825887i | \(-0.309325\pi\) |
0.0278202 | + | 0.999613i | \(0.491143\pi\) | |||||||
\(282\) | 251.494 | − | 550.695i | 0.0531072 | − | 0.116289i | ||||
\(283\) | 3887.76 | − | 4486.72i | 0.816620 | − | 0.942430i | −0.182549 | − | 0.983197i | \(-0.558435\pi\) |
0.999169 | + | 0.0407672i | \(0.0129802\pi\) | |||||||
\(284\) | −619.473 | + | 4308.53i | −0.129433 | + | 0.900227i | ||||
\(285\) | 2319.22 | − | 680.984i | 0.482030 | − | 0.141537i | ||||
\(286\) | −322.766 | − | 372.492i | −0.0667328 | − | 0.0770137i | ||||
\(287\) | 2191.79 | − | 1408.58i | 0.450792 | − | 0.289707i | ||||
\(288\) | −209.825 | + | 134.846i | −0.0429308 | + | 0.0275900i | ||||
\(289\) | −7598.29 | − | 8768.89i | −1.54657 | − | 1.78483i | ||||
\(290\) | −963.063 | + | 282.781i | −0.195010 | + | 0.0572602i | ||||
\(291\) | 1483.86 | − | 10320.5i | 0.298919 | − | 2.07902i | ||||
\(292\) | −495.670 | + | 572.034i | −0.0993388 | + | 0.114643i | ||||
\(293\) | 2367.93 | − | 5185.05i | 0.472137 | − | 1.03384i | −0.512414 | − | 0.858738i | \(-0.671249\pi\) |
0.984551 | − | 0.175097i | \(-0.0560239\pi\) | |||||||
\(294\) | 3194.93 | + | 938.115i | 0.633782 | + | 0.186095i | ||||
\(295\) | −517.278 | − | 1132.68i | −0.102092 | − | 0.223550i | ||||
\(296\) | −177.312 | − | 1233.23i | −0.0348177 | − | 0.242163i | ||||
\(297\) | 3731.33 | + | 2397.98i | 0.729003 | + | 0.468502i | ||||
\(298\) | −3760.80 | −0.731064 | ||||||||
\(299\) | −625.766 | + | 300.781i | −0.121033 | + | 0.0581759i | ||||
\(300\) | −589.868 | −0.113520 | ||||||||
\(301\) | −935.797 | − | 601.400i | −0.179197 | − | 0.115163i | ||||
\(302\) | 253.772 | + | 1765.03i | 0.0483542 | + | 0.336311i | ||||
\(303\) | −1263.71 | − | 2767.14i | −0.239598 | − | 0.524647i | ||||
\(304\) | −1258.16 | − | 369.430i | −0.237370 | − | 0.0696982i | ||||
\(305\) | −1883.87 | + | 4125.10i | −0.353672 | + | 0.774435i | ||||
\(306\) | 1311.93 | − | 1514.05i | 0.245092 | − | 0.282851i | ||||
\(307\) | 948.847 | − | 6599.37i | 0.176396 | − | 1.22686i | −0.688622 | − | 0.725120i | \(-0.741784\pi\) |
0.865018 | − | 0.501740i | \(-0.167307\pi\) | |||||||
\(308\) | 1171.19 | − | 343.893i | 0.216672 | − | 0.0636205i | ||||
\(309\) | −819.883 | − | 946.196i | −0.150943 | − | 0.174198i | ||||
\(310\) | −977.241 | + | 628.035i | −0.179044 | + | 0.115064i | ||||
\(311\) | −7593.85 | + | 4880.27i | −1.38459 | + | 0.889823i | −0.999454 | − | 0.0330368i | \(-0.989482\pi\) |
−0.385137 | + | 0.922859i | \(0.625846\pi\) | |||||||
\(312\) | 194.513 | + | 224.480i | 0.0352953 | + | 0.0407329i | ||||
\(313\) | 2400.76 | − | 704.926i | 0.433543 | − | 0.127300i | −0.0576771 | − | 0.998335i | \(-0.518369\pi\) |
0.491220 | + | 0.871036i | \(0.336551\pi\) | |||||||
\(314\) | 119.378 | − | 830.294i | 0.0214551 | − | 0.149224i | ||||
\(315\) | 198.917 | − | 229.562i | 0.0355800 | − | 0.0410615i | ||||
\(316\) | −671.633 | + | 1470.67i | −0.119564 | + | 0.261809i | ||||
\(317\) | −2149.14 | − | 631.045i | −0.380782 | − | 0.111808i | 0.0857394 | − | 0.996318i | \(-0.472675\pi\) |
−0.466521 | + | 0.884510i | \(0.654493\pi\) | |||||||
\(318\) | −1167.90 | − | 2557.33i | −0.205951 | − | 0.450969i | ||||
\(319\) | 559.264 | + | 3889.77i | 0.0981592 | + | 0.682712i | ||||
\(320\) | 269.201 | + | 173.005i | 0.0470275 | + | 0.0302227i | ||||
\(321\) | 8754.47 | 1.52220 | ||||||||
\(322\) | −33.7977 | − | 1719.13i | −0.00584929 | − | 0.297527i | ||||
\(323\) | 10532.4 | 1.81436 | ||||||||
\(324\) | −2956.82 | − | 1900.24i | −0.507000 | − | 0.325829i | ||||
\(325\) | 22.3947 | + | 155.759i | 0.00382226 | + | 0.0265844i | ||||
\(326\) | 1289.87 | + | 2824.42i | 0.219139 | + | 0.479848i | ||||
\(327\) | −7726.14 | − | 2268.60i | −1.30660 | − | 0.383651i | ||||
\(328\) | 1110.89 | − | 2432.52i | 0.187009 | − | 0.409492i | ||||
\(329\) | 261.928 | − | 302.281i | 0.0438922 | − | 0.0506543i | ||||
\(330\) | −328.669 | + | 2285.94i | −0.0548262 | + | 0.381324i | ||||
\(331\) | −5375.86 | + | 1578.49i | −0.892700 | + | 0.262120i | −0.695742 | − | 0.718292i | \(-0.744924\pi\) |
−0.196958 | + | 0.980412i | \(0.563106\pi\) | |||||||
\(332\) | 742.197 | + | 856.542i | 0.122691 | + | 0.141593i | ||||
\(333\) | −1021.19 | + | 656.277i | −0.168050 | + | 0.107999i | ||||
\(334\) | −2749.22 | + | 1766.82i | −0.450391 | + | 0.289449i | ||||
\(335\) | 981.512 | + | 1132.72i | 0.160077 | + | 0.184738i | ||||
\(336\) | −705.811 | + | 207.245i | −0.114599 | + | 0.0336492i | ||||
\(337\) | −1245.84 | + | 8665.03i | −0.201381 | + | 1.40064i | 0.598810 | + | 0.800891i | \(0.295640\pi\) |
−0.800191 | + | 0.599745i | \(0.795269\pi\) | |||||||
\(338\) | −2825.57 | + | 3260.88i | −0.454706 | + | 0.524759i | ||||
\(339\) | 1602.30 | − | 3508.55i | 0.256711 | − | 0.562119i | ||||
\(340\) | −2466.17 | − | 724.133i | −0.393373 | − | 0.115505i | ||||
\(341\) | 1889.35 | + | 4137.09i | 0.300040 | + | 0.656997i | ||||
\(342\) | 181.818 | + | 1264.57i | 0.0287473 | + | 0.199942i | ||||
\(343\) | 4099.71 | + | 2634.72i | 0.645374 | + | 0.414757i | ||||
\(344\) | −1141.75 | −0.178951 | ||||||||
\(345\) | 2985.24 | + | 1293.02i | 0.465855 | + | 0.201779i | ||||
\(346\) | 5548.88 | 0.862167 | ||||||||
\(347\) | 604.649 | + | 388.584i | 0.0935426 | + | 0.0601162i | 0.586576 | − | 0.809894i | \(-0.300476\pi\) |
−0.493033 | + | 0.870010i | \(0.664112\pi\) | |||||||
\(348\) | −337.037 | − | 2344.14i | −0.0519169 | − | 0.361090i | ||||
\(349\) | 209.733 | + | 459.252i | 0.0321684 | + | 0.0704389i | 0.925034 | − | 0.379884i | \(-0.124036\pi\) |
−0.892866 | + | 0.450323i | \(0.851309\pi\) | |||||||
\(350\) | −373.924 | − | 109.794i | −0.0571060 | − | 0.0167678i | ||||
\(351\) | −296.224 | + | 648.640i | −0.0450464 | + | 0.0986378i | ||||
\(352\) | 820.452 | − | 946.852i | 0.124234 | − | 0.143373i | ||||
\(353\) | −572.655 | + | 3982.90i | −0.0863437 | + | 0.600534i | 0.900007 | + | 0.435875i | \(0.143561\pi\) |
−0.986351 | + | 0.164658i | \(0.947348\pi\) | |||||||
\(354\) | 2819.02 | − | 827.739i | 0.423247 | − | 0.124276i | ||||
\(355\) | −3563.13 | − | 4112.07i | −0.532708 | − | 0.614777i | ||||
\(356\) | 479.835 | − | 308.371i | 0.0714359 | − | 0.0459091i | ||||
\(357\) | 4970.55 | − | 3194.38i | 0.736889 | − | 0.473570i | ||||
\(358\) | −2625.27 | − | 3029.72i | −0.387569 | − | 0.447279i | ||||
\(359\) | 2127.40 | − | 624.661i | 0.312757 | − | 0.0918339i | −0.121587 | − | 0.992581i | \(-0.538798\pi\) |
0.434344 | + | 0.900747i | \(0.356980\pi\) | |||||||
\(360\) | 44.3702 | − | 308.601i | 0.00649587 | − | 0.0451798i | ||||
\(361\) | 93.2450 | − | 107.610i | 0.0135945 | − | 0.0156889i | ||||
\(362\) | 3334.67 | − | 7301.91i | 0.484161 | − | 1.06016i | ||||
\(363\) | 1142.59 | + | 335.495i | 0.165208 | + | 0.0485095i | ||||
\(364\) | 81.5210 | + | 178.506i | 0.0117386 | + | 0.0257040i | ||||
\(365\) | −134.649 | − | 936.507i | −0.0193092 | − | 0.134299i | ||||
\(366\) | −9001.40 | − | 5784.85i | −1.28555 | − | 0.826172i | ||||
\(367\) | 2674.51 | 0.380404 | 0.190202 | − | 0.981745i | \(-0.439086\pi\) | ||||
0.190202 | + | 0.981745i | \(0.439086\pi\) | |||||||
\(368\) | −983.157 | − | 1465.66i | −0.139268 | − | 0.207616i | ||||
\(369\) | −2605.44 | −0.367571 | ||||||||
\(370\) | 1310.16 | + | 841.989i | 0.184087 | + | 0.118305i | ||||
\(371\) | −264.338 | − | 1838.51i | −0.0369912 | − | 0.257280i | ||||
\(372\) | −1138.60 | − | 2493.19i | −0.158693 | − | 0.347489i | ||||
\(373\) | −12896.2 | − | 3786.67i | −1.79019 | − | 0.525647i | −0.793619 | − | 0.608415i | \(-0.791806\pi\) |
−0.996569 | + | 0.0827678i | \(0.973624\pi\) | |||||||
\(374\) | −4180.40 | + | 9153.79i | −0.577976 | + | 1.26559i | ||||
\(375\) | 482.851 | − | 557.240i | 0.0664916 | − | 0.0767354i | ||||
\(376\) | 58.4253 | − | 406.357i | 0.00801344 | − | 0.0557347i | ||||
\(377\) | −606.191 | + | 177.994i | −0.0828128 | + | 0.0243160i | ||||
\(378\) | −1156.47 | − | 1334.64i | −0.157361 | − | 0.181604i | ||||
\(379\) | −7311.35 | + | 4698.72i | −0.990920 | + | 0.636826i | −0.932388 | − | 0.361460i | \(-0.882279\pi\) |
−0.0585326 | + | 0.998285i | \(0.518642\pi\) | |||||||
\(380\) | 1378.90 | − | 886.164i | 0.186147 | − | 0.119630i | ||||
\(381\) | −5494.56 | − | 6341.06i | −0.738832 | − | 0.852657i | ||||
\(382\) | 4993.09 | − | 1466.10i | 0.668766 | − | 0.196367i | ||||
\(383\) | −545.283 | + | 3792.53i | −0.0727485 | + | 0.505977i | 0.920571 | + | 0.390576i | \(0.127724\pi\) |
−0.993319 | + | 0.115401i | \(0.963185\pi\) | |||||||
\(384\) | −494.440 | + | 570.614i | −0.0657077 | + | 0.0758308i | ||||
\(385\) | −633.838 | + | 1387.91i | −0.0839049 | + | 0.183726i | ||||
\(386\) | −2389.41 | − | 701.593i | −0.315071 | − | 0.0925133i | ||||
\(387\) | 462.110 | + | 1011.88i | 0.0606987 | + | 0.132912i | ||||
\(388\) | −1006.23 | − | 6998.50i | −0.131659 | − | 0.915708i | ||||
\(389\) | −7591.97 | − | 4879.06i | −0.989533 | − | 0.635934i | −0.0575144 | − | 0.998345i | \(-0.518317\pi\) |
−0.932019 | + | 0.362410i | \(0.881954\pi\) | |||||||
\(390\) | −371.287 | −0.0482073 | ||||||||
\(391\) | 10893.6 | + | 9070.70i | 1.40899 | + | 1.17321i | ||||
\(392\) | 2258.00 | 0.290935 | ||||||||
\(393\) | 13383.1 | + | 8600.78i | 1.71778 | + | 1.10395i | ||||
\(394\) | 993.450 | + | 6909.60i | 0.127029 | + | 0.883504i | ||||
\(395\) | −839.542 | − | 1838.34i | −0.106942 | − | 0.234169i | ||||
\(396\) | −1171.22 | − | 343.900i | −0.148626 | − | 0.0436405i | ||||
\(397\) | −4652.15 | + | 10186.8i | −0.588122 | + | 1.28781i | 0.348448 | + | 0.937328i | \(0.386709\pi\) |
−0.936570 | + | 0.350480i | \(0.886018\pi\) | |||||||
\(398\) | −4912.22 | + | 5669.01i | −0.618662 | + | 0.713974i | ||||
\(399\) | −536.231 | + | 3729.57i | −0.0672810 | + | 0.467950i | ||||
\(400\) | −383.797 | + | 112.693i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | −3120.44 | − | 3601.18i | −0.388596 | − | 0.448464i | 0.527420 | − | 0.849605i | \(-0.323159\pi\) |
−0.916017 | + | 0.401140i | \(0.868614\pi\) | |||||||
\(402\) | −2975.01 | + | 1911.92i | −0.369104 | + | 0.237209i | ||||
\(403\) | −615.116 | + | 395.311i | −0.0760325 | + | 0.0488631i | ||||
\(404\) | −1350.89 | − | 1559.01i | −0.166360 | − | 0.191989i | ||||
\(405\) | 4215.51 | − | 1237.79i | 0.517211 | − | 0.151867i | ||||
\(406\) | 222.672 | − | 1548.72i | 0.0272192 | − | 0.189314i | ||||
\(407\) | 3993.01 | − | 4608.18i | 0.486305 | − | 0.561226i | ||||
\(408\) | 2519.29 | − | 5516.47i | 0.305694 | − | 0.669377i | ||||
\(409\) | −8103.58 | − | 2379.43i | −0.979697 | − | 0.287665i | −0.247598 | − | 0.968863i | \(-0.579641\pi\) |
−0.732099 | + | 0.681198i | \(0.761459\pi\) | |||||||
\(410\) | 1388.62 | + | 3040.65i | 0.167266 | + | 0.366261i | ||||
\(411\) | 1288.61 | + | 8962.47i | 0.154653 | + | 1.07563i | ||||
\(412\) | −714.226 | − | 459.005i | −0.0854063 | − | 0.0548873i | ||||
\(413\) | 1941.08 | 0.231270 | ||||||||
\(414\) | −901.020 | + | 1464.53i | −0.106963 | + | 0.173859i | ||||
\(415\) | −1416.71 | −0.167575 | ||||||||
\(416\) | 169.446 | + | 108.897i | 0.0199706 | + | 0.0128344i | ||||
\(417\) | 1610.97 | + | 11204.6i | 0.189184 | + | 1.31580i | ||||
\(418\) | −2665.89 | − | 5837.47i | −0.311944 | − | 0.683063i | ||||
\(419\) | −8195.01 | − | 2406.27i | −0.955495 | − | 0.280559i | −0.233422 | − | 0.972375i | \(-0.574992\pi\) |
−0.722073 | + | 0.691817i | \(0.756811\pi\) | |||||||
\(420\) | 381.978 | − | 836.416i | 0.0443777 | − | 0.0971736i | ||||
\(421\) | −1046.05 | + | 1207.21i | −0.121096 | + | 0.139753i | −0.813060 | − | 0.582179i | \(-0.802200\pi\) |
0.691964 | + | 0.721932i | \(0.256746\pi\) | |||||||
\(422\) | 262.400 | − | 1825.04i | 0.0302689 | − | 0.210524i | ||||
\(423\) | −383.781 | + | 112.688i | −0.0441136 | + | 0.0129529i | ||||
\(424\) | −1248.46 | − | 1440.80i | −0.142997 | − | 0.165027i | ||||
\(425\) | 2702.83 | − | 1737.00i | 0.308485 | − | 0.198252i | ||||
\(426\) | 10800.0 | − | 6940.74i | 1.22831 | − | 0.789390i | ||||
\(427\) | −4629.35 | − | 5342.55i | −0.524660 | − | 0.605490i | ||||
\(428\) | 5696.09 | − | 1672.52i | 0.643297 | − | 0.188889i | ||||
\(429\) | −206.878 | + | 1438.87i | −0.0232824 | + | 0.161933i | ||||
\(430\) | 934.613 | − | 1078.60i | 0.104816 | − | 0.120965i | ||||
\(431\) | −2037.59 | + | 4461.70i | −0.227720 | + | 0.498637i | −0.988657 | − | 0.150188i | \(-0.952012\pi\) |
0.760938 | + | 0.648825i | \(0.224739\pi\) | |||||||
\(432\) | −1739.18 | − | 510.670i | −0.193695 | − | 0.0568741i | ||||
\(433\) | −1946.66 | − | 4262.59i | −0.216052 | − | 0.473088i | 0.770312 | − | 0.637668i | \(-0.220101\pi\) |
−0.986364 | + | 0.164579i | \(0.947373\pi\) | |||||||
\(434\) | −257.708 | − | 1792.40i | −0.0285031 | − | 0.198244i | ||||
\(435\) | 2490.37 | + | 1600.46i | 0.274492 | + | 0.176406i | ||||
\(436\) | −5460.42 | −0.599786 | ||||||||
\(437\) | −8920.94 | + | 1462.15i | −0.976536 | + | 0.160056i | ||||
\(438\) | 2232.38 | 0.243533 | ||||||||
\(439\) | 4480.82 | + | 2879.65i | 0.487148 | + | 0.313071i | 0.761058 | − | 0.648684i | \(-0.224680\pi\) |
−0.273909 | + | 0.961756i | \(0.588317\pi\) | |||||||
\(440\) | 222.877 | + | 1550.14i | 0.0241482 | + | 0.167955i | ||||
\(441\) | −913.897 | − | 2001.16i | −0.0986824 | − | 0.216084i | ||||
\(442\) | −1552.31 | − | 455.799i | −0.167049 | − | 0.0490501i | ||||
\(443\) | 394.955 | − | 864.831i | 0.0423587 | − | 0.0927525i | −0.887270 | − | 0.461251i | \(-0.847401\pi\) |
0.929628 | + | 0.368498i | \(0.120128\pi\) | |||||||
\(444\) | −2406.36 | + | 2777.09i | −0.257209 | + | 0.296835i | ||||
\(445\) | −101.467 | + | 705.718i | −0.0108090 | + | 0.0751781i | ||||
\(446\) | 7951.98 | − | 2334.91i | 0.844254 | − | 0.247895i | ||||
\(447\) | 7263.62 | + | 8382.67i | 0.768585 | + | 0.886995i | ||||
\(448\) | −419.642 | + | 269.688i | −0.0442550 | + | 0.0284409i | ||||
\(449\) | 3736.07 | − | 2401.02i | 0.392686 | − | 0.252364i | −0.329367 | − | 0.944202i | \(-0.606835\pi\) |
0.722052 | + | 0.691838i | \(0.243199\pi\) | |||||||
\(450\) | 255.211 | + | 294.529i | 0.0267351 | + | 0.0308539i | ||||
\(451\) | 12557.3 | − | 3687.16i | 1.31109 | − | 0.384970i | ||||
\(452\) | 372.236 | − | 2588.95i | 0.0387356 | − | 0.269412i | ||||
\(453\) | 3444.04 | − | 3974.63i | 0.357207 | − | 0.412239i | ||||
\(454\) | −1268.69 | + | 2778.04i | −0.131151 | + | 0.287180i | ||||
\(455\) | −235.363 | − | 69.1089i | −0.0242506 | − | 0.00712061i | ||||
\(456\) | 1606.58 | + | 3517.91i | 0.164989 | + | 0.361275i | ||||
\(457\) | 1763.02 | + | 12262.1i | 0.180461 | + | 1.25513i | 0.855676 | + | 0.517512i | \(0.173142\pi\) |
−0.675215 | + | 0.737621i | \(0.735949\pi\) | |||||||
\(458\) | 2624.76 | + | 1686.83i | 0.267788 | + | 0.172097i | ||||
\(459\) | 14559.1 | 1.48052 | ||||||||
\(460\) | 2189.38 | + | 270.976i | 0.221914 | + | 0.0274660i | ||||
\(461\) | −11481.1 | −1.15993 | −0.579964 | − | 0.814642i | \(-0.696933\pi\) | ||||
−0.579964 | + | 0.814642i | \(0.696933\pi\) | |||||||
\(462\) | −3028.57 | − | 1946.34i | −0.304982 | − | 0.196000i | ||||
\(463\) | 928.368 | + | 6456.94i | 0.0931855 | + | 0.648120i | 0.981864 | + | 0.189588i | \(0.0607153\pi\) |
−0.888678 | + | 0.458531i | \(0.848376\pi\) | |||||||
\(464\) | −667.137 | − | 1460.83i | −0.0667479 | − | 0.146158i | ||||
\(465\) | 3287.31 | + | 965.243i | 0.327840 | + | 0.0962625i | ||||
\(466\) | −2205.02 | + | 4828.31i | −0.219196 | + | 0.479972i | ||||
\(467\) | 5477.60 | − | 6321.49i | 0.542769 | − | 0.626389i | −0.416414 | − | 0.909175i | \(-0.636713\pi\) |
0.959183 | + | 0.282786i | \(0.0912587\pi\) | |||||||
\(468\) | 27.9284 | − | 194.246i | 0.00275853 | − | 0.0191860i | ||||
\(469\) | −2241.77 | + | 658.242i | −0.220715 | + | 0.0648077i | ||||
\(470\) | 336.054 | + | 387.827i | 0.0329809 | + | 0.0380620i | ||||
\(471\) | −2081.26 | + | 1337.54i | −0.203608 | + | 0.130851i | ||||
\(472\) | 1676.06 | − | 1077.14i | 0.163447 | − | 0.105041i | ||||
\(473\) | −3659.20 | − | 4222.94i | −0.355708 | − | 0.410509i | ||||
\(474\) | 4575.27 | − | 1343.42i | 0.443352 | − | 0.130180i | ||||
\(475\) | −291.585 | + | 2028.02i | −0.0281660 | + | 0.195899i | ||||
\(476\) | 2623.81 | − | 3028.04i | 0.252651 | − | 0.291575i | ||||
\(477\) | −771.614 | + | 1689.60i | −0.0740666 | + | 0.162183i | ||||
\(478\) | −4615.19 | − | 1355.14i | −0.441619 | − | 0.129671i | ||||
\(479\) | −8599.44 | − | 18830.1i | −0.820289 | − | 1.79618i | −0.554584 | − | 0.832128i | \(-0.687122\pi\) |
−0.265705 | − | 0.964054i | \(-0.585605\pi\) | |||||||
\(480\) | −134.315 | − | 934.182i | −0.0127721 | − | 0.0888320i | ||||
\(481\) | 824.669 | + | 529.983i | 0.0781739 | + | 0.0502393i | ||||
\(482\) | 12156.5 | 1.14878 | ||||||||
\(483\) | −3766.61 | + | 3395.68i | −0.354838 | + | 0.319894i | ||||
\(484\) | 807.523 | 0.0758380 | ||||||||
\(485\) | 7435.06 | + | 4778.23i | 0.696101 | + | 0.447357i | ||||
\(486\) | 604.659 | + | 4205.49i | 0.0564360 | + | 0.392521i | ||||
\(487\) | −514.083 | − | 1125.68i | −0.0478344 | − | 0.104743i | 0.884206 | − | 0.467097i | \(-0.154700\pi\) |
−0.932040 | + | 0.362355i | \(0.881973\pi\) | |||||||
\(488\) | −6961.94 | − | 2044.21i | −0.645804 | − | 0.189625i | ||||
\(489\) | 3804.27 | − | 8330.18i | 0.351810 | − | 0.770356i | ||||
\(490\) | −1848.35 | + | 2133.11i | −0.170408 | + | 0.196661i | ||||
\(491\) | −1931.88 | + | 13436.5i | −0.177565 | + | 1.23499i | 0.684809 | + | 0.728723i | \(0.259886\pi\) |
−0.862374 | + | 0.506271i | \(0.831023\pi\) | |||||||
\(492\) | −7567.57 | + | 2222.04i | −0.693440 | + | 0.203612i | ||||
\(493\) | 8447.20 | + | 9748.59i | 0.771689 | + | 0.890577i | ||||
\(494\) | 867.935 | − | 557.788i | 0.0790491 | − | 0.0508017i | ||||
\(495\) | 1283.61 | − | 824.924i | 0.116553 | − | 0.0749042i | ||||
\(496\) | −1217.15 | − | 1404.67i | −0.110185 | − | 0.127160i | ||||
\(497\) | 8138.16 | − | 2389.58i | 0.734500 | − | 0.215669i | ||||
\(498\) | 475.713 | − | 3308.66i | 0.0428057 | − | 0.297720i | ||||
\(499\) | 11505.9 | − | 13278.5i | 1.03221 | − | 1.19123i | 0.0509187 | − | 0.998703i | \(-0.483785\pi\) |
0.981291 | − | 0.192531i | \(-0.0616695\pi\) | |||||||
\(500\) | 207.708 | − | 454.816i | 0.0185779 | − | 0.0406800i | ||||
\(501\) | 9248.03 | + | 2715.47i | 0.824693 | + | 0.242152i | ||||
\(502\) | 3410.75 | + | 7468.49i | 0.303245 | + | 0.664014i | ||||
\(503\) | 1384.51 | + | 9629.49i | 0.122728 | + | 0.853594i | 0.954444 | + | 0.298391i | \(0.0964500\pi\) |
−0.831715 | + | 0.555202i | \(0.812641\pi\) | |||||||
\(504\) | 408.855 | + | 262.755i | 0.0361347 | + | 0.0232223i | ||||
\(505\) | 2578.58 | 0.227219 | ||||||||
\(506\) | 2270.03 | − | 8333.62i | 0.199437 | − | 0.732163i | ||||
\(507\) | 12725.7 | 1.11473 | ||||||||
\(508\) | −4786.48 | − | 3076.09i | −0.418043 | − | 0.268660i | ||||
\(509\) | −1165.39 | − | 8105.43i | −0.101483 | − | 0.705829i | −0.975511 | − | 0.219953i | \(-0.929410\pi\) |
0.874028 | − | 0.485876i | \(-0.161499\pi\) | |||||||
\(510\) | 3149.11 | + | 6895.59i | 0.273421 | + | 0.598709i | ||||
\(511\) | 1415.14 | + | 415.521i | 0.122509 | + | 0.0359718i | ||||
\(512\) | −212.692 | + | 465.732i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −6080.05 | + | 7016.75i | −0.523276 | + | 0.603893i | ||||
\(514\) | 1164.25 | − | 8097.51i | 0.0999080 | − | 0.694875i | ||||
\(515\) | 1018.26 | − | 298.989i | 0.0871264 | − | 0.0255826i | ||||
\(516\) | 2205.19 | + | 2544.93i | 0.188136 | + | 0.217120i | ||||
\(517\) | 1690.21 | − | 1086.23i | 0.143782 | − | 0.0924034i | ||||
\(518\) | −2042.33 | + | 1312.53i | −0.173234 | + | 0.111330i | ||||
\(519\) | −10717.1 | − | 12368.2i | −0.906417 | − | 1.04606i | ||||
\(520\) | −241.578 | + | 70.9336i | −0.0203729 | + | 0.00598201i | ||||
\(521\) | −1351.46 | + | 9399.61i | −0.113644 | + | 0.790411i | 0.850679 | + | 0.525685i | \(0.176191\pi\) |
−0.964323 | + | 0.264727i | \(0.914718\pi\) | |||||||
\(522\) | −1024.64 | + | 1182.50i | −0.0859146 | + | 0.0991507i | ||||
\(523\) | 6110.51 | − | 13380.2i | 0.510887 | − | 1.11869i | −0.461888 | − | 0.886938i | \(-0.652828\pi\) |
0.972776 | − | 0.231749i | \(-0.0744448\pi\) | |||||||
\(524\) | 10350.9 | + | 3039.29i | 0.862938 | + | 0.253381i | ||||
\(525\) | 477.473 | + | 1045.52i | 0.0396926 | + | 0.0869147i | ||||
\(526\) | −987.794 | − | 6870.26i | −0.0818819 | − | 0.569501i | ||||
\(527\) | 12558.9 | + | 8071.14i | 1.03810 | + | 0.667143i | ||||
\(528\) | −3695.12 | −0.304563 | ||||||||
\(529\) | −10486.2 | − | 6170.59i | −0.861853 | − | 0.507158i | ||||
\(530\) | 2383.07 | 0.195309 | ||||||||
\(531\) | −1632.98 | − | 1049.45i | −0.133456 | − | 0.0857670i | ||||
\(532\) | 363.628 | + | 2529.09i | 0.0296340 | + | 0.206109i | ||||
\(533\) | 874.053 | + | 1913.91i | 0.0710308 | + | 0.155536i | ||||
\(534\) | −1614.10 | − | 473.943i | −0.130803 | − | 0.0384073i | ||||
\(535\) | −3082.67 | + | 6750.11i | −0.249113 | + | 0.545482i | ||||
\(536\) | −1570.42 | + | 1812.36i | −0.126552 | + | 0.146049i | ||||
\(537\) | −1682.67 | + | 11703.2i | −0.135219 | + | 0.940469i | ||||
\(538\) | 9312.48 | − | 2734.39i | 0.746263 | − | 0.219123i | ||||
\(539\) | 7236.65 | + | 8351.54i | 0.578302 | + | 0.667396i | ||||
\(540\) | 1906.08 | − | 1224.96i | 0.151897 | − | 0.0976183i | ||||
\(541\) | 3547.66 | − | 2279.94i | 0.281933 | − | 0.181187i | −0.392030 | − | 0.919952i | \(-0.628227\pi\) |
0.673963 | + | 0.738765i | \(0.264591\pi\) | |||||||
\(542\) | 6110.32 | + | 7051.68i | 0.484245 | + | 0.558848i | ||||
\(543\) | −22716.3 | + | 6670.09i | −1.79530 | + | 0.527148i | ||||
\(544\) | 585.263 | − | 4070.60i | 0.0461268 | − | 0.320819i | ||||
\(545\) | 4469.77 | − | 5158.39i | 0.351310 | − | 0.405433i | ||||
\(546\) | 240.433 | − | 526.475i | 0.0188454 | − | 0.0412656i | ||||
\(547\) | 5573.45 | + | 1636.51i | 0.435655 | + | 0.127920i | 0.492204 | − | 0.870480i | \(-0.336191\pi\) |
−0.0565487 | + | 0.998400i | \(0.518010\pi\) | |||||||
\(548\) | 2550.69 | + | 5585.24i | 0.198833 | + | 0.435383i | ||||
\(549\) | 1006.07 | + | 6997.40i | 0.0782116 | + | 0.543974i | ||||
\(550\) | −1646.84 | − | 1058.36i | −0.127675 | − | 0.0820520i | ||||
\(551\) | −8225.98 | −0.636005 | ||||||||
\(552\) | −1368.02 | + | 5022.20i | −0.105483 | + | 0.387245i | ||||
\(553\) | 3150.37 | 0.242256 | ||||||||
\(554\) | −2526.44 | − | 1623.64i | −0.193751 | − | 0.124516i | ||||
\(555\) | −653.691 | − | 4546.52i | −0.0499957 | − | 0.347728i | ||||
\(556\) | 3188.79 | + | 6982.47i | 0.243228 | + | 0.532595i | ||||
\(557\) | −20986.9 | − | 6162.30i | −1.59648 | − | 0.468770i | −0.641919 | − | 0.766772i | \(-0.721862\pi\) |
−0.954565 | + | 0.298002i | \(0.903680\pi\) | |||||||
\(558\) | −752.260 | + | 1647.22i | −0.0570712 | + | 0.124968i | ||||
\(559\) | 588.284 | − | 678.916i | 0.0445112 | − | 0.0513686i | ||||
\(560\) | 88.7385 | − | 617.190i | 0.00669623 | − | 0.0465733i | ||||
\(561\) | 28477.5 | − | 8361.74i | 2.14317 | − | 0.629293i | ||||
\(562\) | −3804.22 | − | 4390.30i | −0.285536 | − | 0.329526i | ||||
\(563\) | −11426.6 | + | 7343.46i | −0.855374 | + | 0.549715i | −0.893247 | − | 0.449567i | \(-0.851578\pi\) |
0.0378726 | + | 0.999283i | \(0.487942\pi\) | |||||||
\(564\) | −1018.60 | + | 654.612i | −0.0760472 | + | 0.0488726i | ||||
\(565\) | 2141.05 | + | 2470.90i | 0.159424 | + | 0.183985i | ||||
\(566\) | −11392.6 | + | 3345.17i | −0.846053 | + | 0.248424i | ||||
\(567\) | −974.677 | + | 6779.03i | −0.0721915 | + | 0.502103i | ||||
\(568\) | 5701.00 | − | 6579.31i | 0.421142 | − | 0.486024i | ||||
\(569\) | 8345.67 | − | 18274.5i | 0.614884 | − | 1.34641i | −0.304299 | − | 0.952576i | \(-0.598422\pi\) |
0.919183 | − | 0.393831i | \(-0.128850\pi\) | |||||||
\(570\) | −4638.43 | − | 1361.97i | −0.340847 | − | 0.100082i | ||||
\(571\) | 2853.50 | + | 6248.29i | 0.209133 | + | 0.457938i | 0.984910 | − | 0.173070i | \(-0.0553687\pi\) |
−0.775776 | + | 0.631008i | \(0.782641\pi\) | |||||||
\(572\) | 140.288 | + | 975.722i | 0.0102548 | + | 0.0713234i | ||||
\(573\) | −12911.6 | − | 8297.76i | −0.941341 | − | 0.604963i | ||||
\(574\) | −5210.77 | −0.378909 | ||||||||
\(575\) | −2048.16 | + | 1846.46i | −0.148546 | + | 0.133918i | ||||
\(576\) | 498.840 | 0.0360850 | ||||||||
\(577\) | −4622.48 | − | 2970.69i | −0.333512 | − | 0.214335i | 0.363157 | − | 0.931728i | \(-0.381699\pi\) |
−0.696669 | + | 0.717393i | \(0.745335\pi\) | |||||||
\(578\) | 3302.53 | + | 22969.6i | 0.237659 | + | 1.65296i | ||||
\(579\) | 3051.09 | + | 6680.95i | 0.218996 | + | 0.479535i | ||||
\(580\) | 1926.13 | + | 565.561i | 0.137893 | + | 0.0404891i | ||||
\(581\) | 917.413 | − | 2008.85i | 0.0655089 | − | 0.143445i | ||||
\(582\) | −13655.9 | + | 15759.8i | −0.972606 | + | 1.12245i | ||||
\(583\) | 1327.83 | − | 9235.24i | 0.0943276 | − | 0.656063i | ||||
\(584\) | 1452.50 | − | 426.492i | 0.102919 | − | 0.0302198i | ||||
\(585\) | 160.640 | + | 185.389i | 0.0113533 | + | 0.0131024i | ||||
\(586\) | −9590.56 | + | 6163.48i | −0.676079 | + | 0.434490i | ||||
\(587\) | −11342.1 | + | 7289.12i | −0.797510 | + | 0.512529i | −0.874802 | − | 0.484480i | \(-0.839009\pi\) |
0.0772922 | + | 0.997008i | \(0.475373\pi\) | |||||||
\(588\) | −4361.12 | − | 5033.00i | −0.305866 | − | 0.352989i | ||||
\(589\) | −9134.65 | + | 2682.18i | −0.639027 | + | 0.187635i | ||||
\(590\) | −354.423 | + | 2465.07i | −0.0247311 | + | 0.172009i | ||||
\(591\) | 13482.5 | − | 15559.6i | 0.938400 | − | 1.08297i | ||||
\(592\) | −1035.14 | + | 2266.64i | −0.0718650 | + | 0.157362i | ||||
\(593\) | −25680.0 | − | 7540.34i | −1.77833 | − | 0.522166i | −0.783295 | − | 0.621650i | \(-0.786463\pi\) |
−0.995039 | + | 0.0994838i | \(0.968281\pi\) | |||||||
\(594\) | −3685.10 | − | 8069.25i | −0.254548 | − | 0.557383i | ||||
\(595\) | 712.760 | + | 4957.36i | 0.0491098 | + | 0.341566i | ||||
\(596\) | 6327.57 | + | 4066.48i | 0.434878 | + | 0.279479i | ||||
\(597\) | 22123.5 | 1.51667 | ||||||||
\(598\) | 1378.08 | + | 170.564i | 0.0942375 | + | 0.0116637i | ||||
\(599\) | 325.992 | 0.0222365 | 0.0111182 | − | 0.999938i | \(-0.496461\pi\) | ||||
0.0111182 | + | 0.999938i | \(0.496461\pi\) | |||||||
\(600\) | 992.456 | + | 637.813i | 0.0675281 | + | 0.0433977i | ||||
\(601\) | −2788.12 | − | 19391.8i | −0.189234 | − | 1.31615i | −0.833996 | − | 0.551770i | \(-0.813952\pi\) |
0.644762 | − | 0.764384i | \(-0.276957\pi\) | |||||||
\(602\) | 924.202 | + | 2023.72i | 0.0625709 | + | 0.137011i | ||||
\(603\) | 2241.81 | + | 658.255i | 0.151399 | + | 0.0444548i | ||||
\(604\) | 1481.52 | − | 3244.07i | 0.0998047 | − | 0.218542i | ||||
\(605\) | −661.019 | + | 762.857i | −0.0444202 | + | 0.0512637i | ||||
\(606\) | −865.856 | + | 6022.16i | −0.0580413 | + | 0.403686i | ||||
\(607\) | 7633.38 | − | 2241.36i | 0.510428 | − | 0.149875i | −0.0163697 | − | 0.999866i | \(-0.505211\pi\) |
0.526797 | + | 0.849991i | \(0.323393\pi\) | |||||||
\(608\) | 1717.41 | + | 1982.00i | 0.114556 | + | 0.132205i | ||||
\(609\) | −3882.09 | + | 2494.87i | −0.258309 | + | 0.166005i | ||||
\(610\) | 7630.02 | − | 4903.52i | 0.506443 | − | 0.325471i | ||||
\(611\) | 211.526 | + | 244.115i | 0.0140056 | + | 0.0161634i | ||||
\(612\) | −3844.45 | + | 1128.83i | −0.253926 | + | 0.0745593i | ||||
\(613\) | 1866.86 | − | 12984.3i | 0.123005 | − | 0.855517i | −0.831117 | − | 0.556098i | \(-0.812298\pi\) |
0.954122 | − | 0.299419i | \(-0.0967930\pi\) | |||||||
\(614\) | −8732.22 | + | 10077.5i | −0.573948 | + | 0.662371i | ||||
\(615\) | 4095.50 | − | 8967.89i | 0.268531 | − | 0.588001i | ||||
\(616\) | −2342.38 | − | 687.786i | −0.153210 | − | 0.0449865i | ||||
\(617\) | 3586.79 | + | 7853.97i | 0.234034 | + | 0.512462i | 0.989815 | − | 0.142362i | \(-0.0454698\pi\) |
−0.755781 | + | 0.654824i | \(0.772743\pi\) | |||||||
\(618\) | 356.355 | + | 2478.51i | 0.0231953 | + | 0.161327i | ||||
\(619\) | −1706.47 | − | 1096.68i | −0.110806 | − | 0.0712106i | 0.484064 | − | 0.875033i | \(-0.339160\pi\) |
−0.594870 | + | 0.803822i | \(0.702796\pi\) | |||||||
\(620\) | 2323.30 | 0.150493 | ||||||||
\(621\) | −12331.6 | + | 2021.16i | −0.796858 | + | 0.130606i | ||||
\(622\) | 18053.7 | 1.16380 | ||||||||
\(623\) | −934.983 | − | 600.877i | −0.0601273 | − | 0.0386415i | ||||
\(624\) | −84.5434 | − | 588.012i | −0.00542379 | − | 0.0377233i | ||||
\(625\) | 259.634 | + | 568.520i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −4801.51 | − | 1409.85i | −0.306561 | − | 0.0900144i | ||||
\(627\) | −7862.60 | + | 17216.7i | −0.500800 | + | 1.09660i | ||||
\(628\) | −1098.64 | + | 1267.89i | −0.0698095 | + | 0.0805644i | ||||
\(629\) | 2848.39 | − | 19811.0i | 0.180561 | − | 1.25583i | ||||
\(630\) | −582.901 | + | 171.155i | −0.0368624 | + | 0.0108238i | ||||
\(631\) | 17161.9 | + | 19805.9i | 1.08273 | + | 1.24954i | 0.966596 | + | 0.256305i | \(0.0825052\pi\) |
0.116135 | + | 0.993233i | \(0.462949\pi\) | |||||||
\(632\) | 2720.24 | − | 1748.19i | 0.171211 | − | 0.110031i | ||||
\(633\) | −4574.73 | + | 2940.00i | −0.287250 | + | 0.184604i | ||||
\(634\) | 2933.61 | + | 3385.57i | 0.183767 | + | 0.212079i | ||||
\(635\) | 6824.04 | − | 2003.72i | 0.426462 | − | 0.125221i | ||||
\(636\) | −800.206 | + | 5565.55i | −0.0498903 | + | 0.346995i | ||||
\(637\) | −1163.43 | + | 1342.66i | −0.0723651 | + | 0.0835138i | ||||
\(638\) | 3264.97 | − | 7149.29i | 0.202604 | − | 0.443641i | ||||
\(639\) | −8138.33 | − | 2389.63i | −0.503830 | − | 0.147938i | ||||
\(640\) | −265.866 | − | 582.164i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | −536.231 | − | 3729.57i | −0.0330419 | − | 0.229811i | 0.966608 | − | 0.256258i | \(-0.0824898\pi\) |
−0.999650 | + | 0.0264470i | \(0.991581\pi\) | |||||||
\(642\) | −14729.4 | − | 9466.04i | −0.905491 | − | 0.581924i | ||||
\(643\) | −25883.0 | −1.58744 | −0.793721 | − | 0.608282i | \(-0.791859\pi\) | ||||
−0.793721 | + | 0.608282i | \(0.791859\pi\) | |||||||
\(644\) | −1802.00 | + | 2929.00i | −0.110262 | + | 0.179222i | ||||
\(645\) | −4209.27 | −0.256961 | ||||||||
\(646\) | −17720.8 | − | 11388.5i | −1.07928 | − | 0.693612i | ||||
\(647\) | −3103.83 | − | 21587.6i | −0.188600 | − | 1.31174i | −0.835636 | − | 0.549284i | \(-0.814901\pi\) |
0.647036 | − | 0.762460i | \(-0.276008\pi\) | |||||||
\(648\) | 2920.19 | + | 6394.32i | 0.177031 | + | 0.387643i | ||||
\(649\) | 9355.52 | + | 2747.03i | 0.565850 | + | 0.166148i | ||||
\(650\) | 130.740 | − | 286.280i | 0.00788928 | − | 0.0172751i | ||||
\(651\) | −3497.44 | + | 4036.26i | −0.210562 | + | 0.243001i | ||||
\(652\) | 883.781 | − | 6146.83i | 0.0530852 | − | 0.369215i | ||||
\(653\) | 6449.36 | − | 1893.70i | 0.386498 | − | 0.113486i | −0.0827102 | − | 0.996574i | \(-0.526358\pi\) |
0.469208 | + | 0.883088i | \(0.344539\pi\) | |||||||
\(654\) | 10546.3 | + | 12171.1i | 0.630570 | + | 0.727716i | ||||
\(655\) | −11344.1 | + | 7290.44i | −0.676721 | + | 0.434902i | ||||
\(656\) | −4499.32 | + | 2891.54i | −0.267788 | + | 0.172097i | ||||
\(657\) | −965.859 | − | 1114.66i | −0.0573543 | − | 0.0661904i | ||||
\(658\) | −767.546 | + | 225.372i | −0.0454743 | + | 0.0133524i | ||||
\(659\) | −2248.30 | + | 15637.3i | −0.132900 | + | 0.924341i | 0.808847 | + | 0.588019i | \(0.200092\pi\) |
−0.941747 | + | 0.336322i | \(0.890817\pi\) | |||||||
\(660\) | 3024.74 | − | 3490.73i | 0.178390 | − | 0.205874i | ||||
\(661\) | 2154.29 | − | 4717.24i | 0.126766 | − | 0.277578i | −0.835599 | − | 0.549340i | \(-0.814879\pi\) |
0.962364 | + | 0.271762i | \(0.0876063\pi\) | |||||||
\(662\) | 10751.7 | + | 3156.99i | 0.631234 | + | 0.185347i | ||||
\(663\) | 1982.18 | + | 4340.37i | 0.116111 | + | 0.254247i | ||||
\(664\) | −322.590 | − | 2243.66i | −0.0188538 | − | 0.131131i | ||||
\(665\) | −2686.85 | − | 1726.74i | −0.156679 | − | 0.100692i | ||||
\(666\) | 2427.78 | 0.141253 | ||||||||
\(667\) | −8508.14 | − | 7084.39i | −0.493908 | − | 0.411257i | ||||
\(668\) | 6536.01 | 0.378572 | ||||||||
\(669\) | −20562.9 | − | 13215.0i | −1.18835 | − | 0.763709i | ||||
\(670\) | −426.606 | − | 2967.11i | −0.0245988 | − | 0.171089i | ||||
\(671\) | −14751.5 | − | 32301.2i | −0.848694 | − | 1.85838i | ||||
\(672\) | 1411.62 | + | 414.490i | 0.0810335 | + | 0.0237936i | ||||
\(673\) | −344.756 | + | 754.909i | −0.0197464 | + | 0.0432387i | −0.919248 | − | 0.393678i | \(-0.871202\pi\) |
0.899502 | + | 0.436917i | \(0.143930\pi\) | |||||||
\(674\) | 11465.5 | − | 13231.9i | 0.655243 | − | 0.756190i | ||||
\(675\) | −403.063 | + | 2803.37i | −0.0229836 | + | 0.159854i | ||||
\(676\) | 8279.97 | − | 2431.22i | 0.471095 | − | 0.138326i | ||||
\(677\) | −10417.6 | − | 12022.5i | −0.591404 | − | 0.682517i | 0.378612 | − | 0.925555i | \(-0.376401\pi\) |
−0.970017 | + | 0.243038i | \(0.921856\pi\) | |||||||
\(678\) | −6489.62 | + | 4170.62i | −0.367599 | + | 0.236242i | ||||
\(679\) | −11590.1 | + | 7448.50i | −0.655062 | + | 0.420983i | ||||
\(680\) | 3366.36 | + | 3884.98i | 0.189844 | + | 0.219092i | ||||
\(681\) | 8642.49 | − | 2537.66i | 0.486316 | − | 0.142795i | ||||
\(682\) | 1294.52 | − | 9003.60i | 0.0726830 | − | 0.505521i | ||||
\(683\) | 21866.4 | − | 25235.2i | 1.22503 | − | 1.41376i | 0.345157 | − | 0.938545i | \(-0.387826\pi\) |
0.879871 | − | 0.475213i | \(-0.157629\pi\) | |||||||
\(684\) | 1061.45 | − | 2324.24i | 0.0593354 | − | 0.129926i | ||||
\(685\) | −7364.24 | − | 2162.34i | −0.410764 | − | 0.120611i | ||||
\(686\) | −4048.91 | − | 8865.88i | −0.225347 | − | 0.493441i | ||||
\(687\) | −1309.59 | − | 9108.43i | −0.0727280 | − | 0.505835i | ||||
\(688\) | 1921.01 | + | 1234.56i | 0.106450 | + | 0.0684115i | ||||
\(689\) | 1500.00 | 0.0829399 | ||||||||
\(690\) | −3624.58 | − | 5403.40i | −0.199979 | − | 0.298122i | ||||
\(691\) | −11218.3 | −0.617602 | −0.308801 | − | 0.951127i | \(-0.599928\pi\) | ||||
−0.308801 | + | 0.951127i | \(0.599928\pi\) | |||||||
\(692\) | −9336.04 | − | 5999.91i | −0.512865 | − | 0.329599i | ||||
\(693\) | 338.499 | + | 2354.31i | 0.0185548 | + | 0.129052i | ||||
\(694\) | −597.157 | − | 1307.59i | −0.0326625 | − | 0.0715209i | ||||
\(695\) | −9206.51 | − | 2703.28i | −0.502479 | − | 0.147541i | ||||
\(696\) | −1967.61 | + | 4308.47i | −0.107158 | + | 0.234644i | ||||
\(697\) | 28132.0 | − | 32466.0i | 1.52880 | − | 1.76433i | ||||
\(698\) | 143.703 | − | 999.475i | 0.00779259 | − | 0.0541987i | ||||
\(699\) | 15020.9 | − | 4410.53i | 0.812793 | − | 0.238658i | ||||
\(700\) | 510.412 | + | 589.047i | 0.0275597 | + | 0.0318055i | ||||
\(701\) | −11674.0 | + | 7502.45i | −0.628990 | + | 0.404228i | −0.815936 | − | 0.578143i | \(-0.803778\pi\) |
0.186945 | + | 0.982370i | \(0.440141\pi\) | |||||||
\(702\) | 1199.76 | − | 771.040i | 0.0645044 | − | 0.0414545i | ||||
\(703\) | 8358.37 | + | 9646.08i | 0.448424 | + | 0.517509i | ||||
\(704\) | −2404.23 | + | 705.946i | −0.128711 | + | 0.0377931i | ||||
\(705\) | 215.395 | − | 1498.10i | 0.0115067 | − | 0.0800310i | ||||
\(706\) | 5270.13 | − | 6082.06i | 0.280941 | − | 0.324223i | ||||
\(707\) | −1669.80 | + | 3656.36i | −0.0888252 | + | 0.194500i | ||||
\(708\) | −5638.04 | − | 1655.48i | −0.299281 | − | 0.0878767i | ||||
\(709\) | −8904.98 | − | 19499.2i | −0.471697 | − | 1.03287i | −0.984663 | − | 0.174464i | \(-0.944181\pi\) |
0.512966 | − | 0.858409i | \(-0.328547\pi\) | |||||||
\(710\) | 1548.68 | + | 10771.3i | 0.0818606 | + | 0.569353i | ||||
\(711\) | −2650.32 | − | 1703.26i | −0.139796 | − | 0.0898412i | ||||
\(712\) | −1140.76 | −0.0600447 | ||||||||
\(713\) | −11757.9 | − | 5092.78i | −0.617584 | − | 0.267498i | ||||
\(714\) | −11817.0 | −0.619385 | ||||||||
\(715\) | −1036.59 | − | 666.175i | −0.0542185 | − | 0.0348441i | ||||
\(716\) | 1141.05 | + | 7936.18i | 0.0595574 | + | 0.414230i | ||||
\(717\) | 5893.25 | + | 12904.4i | 0.306956 | + | 0.672140i | ||||
\(718\) | −4254.80 | − | 1249.32i | −0.221153 | − | 0.0649363i | ||||
\(719\) | −2112.15 | + | 4624.96i | −0.109555 | + | 0.239892i | −0.956467 | − | 0.291842i | \(-0.905732\pi\) |
0.846912 | + | 0.531733i | \(0.178459\pi\) | |||||||
\(720\) | −408.338 | + | 471.247i | −0.0211359 | + | 0.0243921i | ||||
\(721\) | −235.435 | + | 1637.49i | −0.0121610 | + | 0.0845813i | ||||
\(722\) | −273.243 | + | 80.2312i | −0.0140845 | + | 0.00413559i | ||||
\(723\) | −23479.1 | − | 27096.3i | −1.20774 | − | 1.39381i | ||||
\(724\) | −13506.0 | + | 8679.79i | −0.693297 | + | 0.445555i | ||||
\(725\) | −2110.96 | + | 1356.63i | −0.108137 | + | 0.0694952i | ||||
\(726\) | −1559.65 | − | 1799.94i | −0.0797303 | − | 0.0920137i | ||||
\(727\) | 4836.57 | − | 1420.15i | 0.246738 | − | 0.0724488i | −0.156025 | − | 0.987753i | \(-0.549868\pi\) |
0.402763 | + | 0.915304i | \(0.368050\pi\) | |||||||
\(728\) | 55.8557 | − | 388.485i | 0.00284361 | − | 0.0197778i | ||||
\(729\) | −7330.39 | + | 8459.72i | −0.372422 | + | 0.429798i | ||||
\(730\) | −786.079 | + | 1721.27i | −0.0398549 | + | 0.0872701i | ||||
\(731\) | −17598.5 | − | 5167.39i | −0.890430 | − | 0.261454i | ||||
\(732\) | 8889.87 | + | 19466.1i | 0.448878 | + | 0.982907i | ||||
\(733\) | 2855.44 | + | 19860.0i | 0.143886 | + | 1.00075i | 0.925976 | + | 0.377582i | \(0.123244\pi\) |
−0.782091 | + | 0.623165i | \(0.785847\pi\) | |||||||
\(734\) | −4499.88 | − | 2891.90i | −0.226286 | − | 0.145425i | ||||
\(735\) | 8324.51 | 0.417761 | ||||||||
\(736\) | 69.3801 | + | 3529.05i | 0.00347471 | + | 0.176743i | ||||
\(737\) | −11736.3 | −0.586583 | ||||||||
\(738\) | 4383.67 | + | 2817.21i | 0.218652 | + | 0.140519i | ||||
\(739\) | 2730.04 | + | 18987.8i | 0.135895 | + | 0.945167i | 0.937666 | + | 0.347537i | \(0.112982\pi\) |
−0.801772 | + | 0.597630i | \(0.796109\pi\) | |||||||
\(740\) | −1293.93 | − | 2833.31i | −0.0642780 | − | 0.140749i | ||||
\(741\) | −2919.62 | − | 857.278i | −0.144744 | − | 0.0425005i | ||||
\(742\) | −1543.20 | + | 3379.13i | −0.0763511 | + | 0.167186i | ||||
\(743\) | −14971.9 | + | 17278.5i | −0.739256 | + | 0.853147i | −0.993481 | − | 0.113999i | \(-0.963634\pi\) |
0.254225 | + | 0.967145i | \(0.418180\pi\) | |||||||
\(744\) | −780.135 | + | 5425.96i | −0.0384424 | + | 0.267373i | ||||
\(745\) | −9021.14 | + | 2648.85i | −0.443636 | + | 0.130263i | ||||
\(746\) | 17603.5 | + | 20315.5i | 0.863954 | + | 0.997057i | ||||
\(747\) | −1857.88 | + | 1193.99i | −0.0909992 | + | 0.0584816i | ||||
\(748\) | 16931.4 | − | 10881.1i | 0.827637 | − | 0.531890i | ||||
\(749\) | −7575.24 | − | 8742.29i | −0.369550 | − | 0.426484i | ||||
\(750\) | −1414.93 | + | 415.462i | −0.0688881 | + | 0.0202274i | ||||
\(751\) | −335.926 | + | 2336.42i | −0.0163224 | + | 0.113525i | −0.996354 | − | 0.0853183i | \(-0.972809\pi\) |
0.980031 | + | 0.198843i | \(0.0637184\pi\) | |||||||
\(752\) | −537.687 | + | 620.524i | −0.0260737 | + | 0.0300907i | ||||
\(753\) | 10059.4 | − | 22027.1i | 0.486835 | − | 1.06602i | ||||
\(754\) | 1212.38 | + | 355.988i | 0.0585575 | + | 0.0171940i | ||||
\(755\) | 1851.90 | + | 4055.09i | 0.0892680 | + | 0.195470i | ||||
\(756\) | 502.650 | + | 3496.00i | 0.0241815 | + | 0.168186i | ||||
\(757\) | 30622.7 | + | 19680.0i | 1.47028 | + | 0.944891i | 0.997985 | + | 0.0634495i | \(0.0202102\pi\) |
0.472294 | + | 0.881441i | \(0.343426\pi\) | |||||||
\(758\) | 17382.0 | 0.832908 | ||||||||
\(759\) | −22959.7 | + | 11035.8i | −1.09800 | + | 0.527765i | ||||
\(760\) | −3278.20 | −0.156464 | ||||||||
\(761\) | −32605.3 | − | 20954.1i | −1.55314 | − | 0.998143i | −0.984465 | − | 0.175582i | \(-0.943819\pi\) |
−0.568677 | − | 0.822561i | \(-0.692544\pi\) | |||||||
\(762\) | 2388.16 | + | 16610.0i | 0.113536 | + | 0.789657i | ||||
\(763\) | 4419.98 | + | 9678.41i | 0.209717 | + | 0.459216i | ||||
\(764\) | −9986.18 | − | 2932.21i | −0.472889 | − | 0.138853i | ||||
\(765\) | 2080.58 | − | 4555.83i | 0.0983314 | − | 0.215316i | ||||
\(766\) | 5018.23 | − | 5791.35i | 0.236705 | − | 0.273172i | ||||
\(767\) | −223.089 | + | 1551.62i | −0.0105023 | + | 0.0730451i | ||||
\(768\) | 1448.89 | − | 425.433i | 0.0680761 | − | 0.0199889i | ||||
\(769\) | 23440.8 | + | 27052.1i | 1.09921 | + | 1.26856i | 0.960515 | + | 0.278227i | \(0.0897468\pi\) |
0.138700 | + | 0.990335i | \(0.455708\pi\) | |||||||
\(770\) | 2567.16 | − | 1649.81i | 0.120148 | − | 0.0772145i | ||||
\(771\) | −20297.7 | + | 13044.5i | −0.948122 | + | 0.609321i | ||||
\(772\) | 3261.57 | + | 3764.05i | 0.152055 | + | 0.175481i | ||||
\(773\) | −9702.84 | + | 2849.01i | −0.451471 | + | 0.132564i | −0.499560 | − | 0.866279i | \(-0.666505\pi\) |
0.0480893 | + | 0.998843i | \(0.484687\pi\) | |||||||
\(774\) | 316.624 | − | 2202.17i | 0.0147039 | − | 0.102268i | ||||
\(775\) | −1901.80 | + | 2194.79i | −0.0881478 | + | 0.101728i | ||||
\(776\) | −5874.35 | + | 12863.0i | −0.271749 | + | 0.595047i | ||||
\(777\) | 6870.15 | + | 2017.26i | 0.317201 | + | 0.0931386i | ||||
\(778\) | 7497.91 | + | 16418.1i | 0.345518 | + | 0.756579i | ||||
\(779\) | 3898.75 | + | 27116.4i | 0.179316 | + | 1.24717i | ||||
\(780\) | 624.693 | + | 401.466i | 0.0286764 | + | 0.0184292i | ||||
\(781\) | 42605.6 | 1.95205 | ||||||||
\(782\) | −8520.64 | − | 27040.6i | −0.389639 | − | 1.23653i | ||||
\(783\) | −11370.9 | −0.518983 | ||||||||
\(784\) | −3799.11 | − | 2441.54i | −0.173064 | − | 0.111222i | ||||
\(785\) | −298.446 | − | 2075.73i | −0.0135694 | − | 0.0943773i | ||||
\(786\) | −13217.3 | − | 28941.8i | −0.599802 | − | 1.31338i | ||||
\(787\) | −23557.4 | − | 6917.09i | −1.06700 | − | 0.313301i | −0.299336 | − | 0.954148i | \(-0.596765\pi\) |
−0.767668 | + | 0.640847i | \(0.778583\pi\) | |||||||
\(788\) | 5799.73 | − | 12699.6i | 0.262192 | − | 0.574119i | ||||
\(789\) | −13405.7 | + | 15471.0i | −0.604887 | + | 0.698077i | ||||
\(790\) | −575.228 | + | 4000.80i | −0.0259060 | + | 0.180180i | ||||
\(791\) | −4890.14 | + | 1435.88i | −0.219815 | + | 0.0645434i | ||||
\(792\) | 1598.73 | + | 1845.03i | 0.0717276 | + | 0.0827780i | ||||
\(793\) | 4802.65 | − | 3086.47i | 0.215066 | − | 0.138214i | ||||
\(794\) | 18842.1 | − | 12109.1i | 0.842165 | − | 0.541227i | ||||
\(795\) | −4602.68 | − | 5311.77i | −0.205334 | − | 0.236968i | ||||
\(796\) | 14394.6 | − | 4226.65i | 0.640961 | − | 0.188203i | ||||
\(797\) | −1668.15 | + | 11602.2i | −0.0741390 | + | 0.515648i | 0.918584 | + | 0.395226i | \(0.129334\pi\) |
−0.992723 | + | 0.120422i | \(0.961575\pi\) | |||||||
\(798\) | 4934.93 | − | 5695.21i | 0.218915 | − | 0.252642i | ||||
\(799\) | 2739.64 | − | 5998.98i | 0.121304 | − | 0.265618i | ||||
\(800\) | 767.594 | + | 225.386i | 0.0339232 | + | 0.00996075i | ||||
\(801\) | 461.708 | + | 1011.00i | 0.0203666 | + | 0.0445967i | ||||
\(802\) | 1356.27 | + | 9433.07i | 0.0597152 | + | 0.415328i | ||||
\(803\) | 6232.54 | + | 4005.41i | 0.273900 | + | 0.176025i | ||||
\(804\) | 7072.79 | 0.310247 | ||||||||
\(805\) | −1291.91 | − | 4099.94i | −0.0565639 | − | 0.179508i | ||||
\(806\) | 1462.38 | 0.0639083 | ||||||||
\(807\) | −24081.0 | − | 15475.9i | −1.05042 | − | 0.675066i | ||||
\(808\) | 587.153 | + | 4083.74i | 0.0255643 | + | 0.177804i | ||||
\(809\) | 7249.28 | + | 15873.7i | 0.315045 | + | 0.689852i | 0.999221 | − | 0.0394649i | \(-0.0125653\pi\) |
−0.684176 | + | 0.729317i | \(0.739838\pi\) | |||||||
\(810\) | −8431.02 | − | 2475.57i | −0.365723 | − | 0.107386i | ||||
\(811\) | −4692.88 | + | 10276.0i | −0.203193 | + | 0.444930i | −0.983605 | − | 0.180335i | \(-0.942282\pi\) |
0.780413 | + | 0.625265i | \(0.215009\pi\) | |||||||
\(812\) | −2049.24 | + | 2364.95i | −0.0885645 | + | 0.102209i | ||||
\(813\) | 3916.42 | − | 27239.3i | 0.168948 | − | 1.17506i | ||||
\(814\) | −11701.0 | + | 3435.73i | −0.503833 | + | 0.147939i | ||||
\(815\) | 5083.39 | + | 5866.54i | 0.218483 | + | 0.252142i | ||||
\(816\) | −10203.6 | + | 6557.44i | −0.437741 | + | 0.281319i | ||||
\(817\) | 9839.76 | − | 6323.63i | 0.421358 | − | 0.270791i | ||||
\(818\) | 11061.5 | + | 12765.6i | 0.472807 | + | 0.545648i | ||||
\(819\) | −366.902 | + | 107.732i | −0.0156540 | + | 0.00459641i | ||||
\(820\) | 951.438 | − | 6617.40i | 0.0405191 | − | 0.281816i | ||||
\(821\) | 25110.0 | − | 28978.5i | 1.06741 | − | 1.23186i | 0.0957682 | − | 0.995404i | \(-0.469469\pi\) |
0.971643 | − | 0.236454i | \(-0.0759853\pi\) | |||||||
\(822\) | 7522.86 | − | 16472.8i | 0.319209 | − | 0.698970i | ||||
\(823\) | 23379.4 | + | 6864.82i | 0.990226 | + | 0.290757i | 0.736439 | − | 0.676504i | \(-0.236506\pi\) |
0.253787 | + | 0.967260i | \(0.418324\pi\) | |||||||
\(824\) | 705.376 | + | 1544.56i | 0.0298215 | + | 0.0653000i | ||||
\(825\) | 821.673 | + | 5714.86i | 0.0346751 | + | 0.241171i | ||||
\(826\) | −3265.89 | − | 2098.86i | −0.137572 | − | 0.0884123i | ||||
\(827\) | 19199.6 | 0.807297 | 0.403648 | − | 0.914914i | \(-0.367742\pi\) | ||||
0.403648 | + | 0.914914i | \(0.367742\pi\) | |||||||
\(828\) | 3099.54 | − | 1489.83i | 0.130092 | − | 0.0625302i | ||||
\(829\) | −11423.7 | −0.478604 | −0.239302 | − | 0.970945i | \(-0.576919\pi\) | ||||
−0.239302 | + | 0.970945i | \(0.576919\pi\) | |||||||
\(830\) | 2383.62 | + | 1531.86i | 0.0996828 | + | 0.0640623i | ||||
\(831\) | 1260.54 | + | 8767.24i | 0.0526205 | + | 0.365983i | ||||
\(832\) | −167.347 | − | 366.438i | −0.00697320 | − | 0.0152692i | ||||
\(833\) | 34803.9 | + | 10219.3i | 1.44764 | + | 0.425065i | ||||
\(834\) | 9404.81 | − | 20593.7i | 0.390482 | − | 0.855036i | ||||
\(835\) | −5350.22 | + | 6174.48i | −0.221739 | + | 0.255900i | ||||
\(836\) | −1826.58 | + | 12704.2i | −0.0755666 | + | 0.525577i | ||||
\(837\) | −12627.0 | + | 3707.62i | −0.521449 | + | 0.153111i | ||||
\(838\) | 11186.3 | + | 12909.7i | 0.461127 | + | 0.532169i | ||||
\(839\) | −14290.2 | + | 9183.72i | −0.588023 | + | 0.377899i | −0.800559 | − | 0.599254i | \(-0.795464\pi\) |
0.212536 | + | 0.977153i | \(0.431828\pi\) | |||||||
\(840\) | −1547.08 | + | 994.249i | −0.0635469 | + | 0.0408391i | ||||
\(841\) | 9373.97 | + | 10818.1i | 0.384353 | + | 0.443566i | ||||
\(842\) | 3065.33 | − | 900.061i | 0.125461 | − | 0.0368387i | ||||
\(843\) | −2438.32 | + | 16958.9i | −0.0996208 | + | 0.692878i | ||||
\(844\) | −2414.87 | + | 2786.91i | −0.0984872 | + | 0.113660i | ||||
\(845\) | −4481.04 | + | 9812.11i | −0.182429 | + | 0.399464i | ||||
\(846\) | 767.562 | + | 225.376i | 0.0311930 | + | 0.00915910i | ||||
\(847\) | −653.656 | − | 1431.31i | −0.0265170 | − | 0.0580641i | ||||
\(848\) | 542.634 | + | 3774.11i | 0.0219742 | + | 0.152834i | ||||
\(849\) | 29460.0 | + | 18932.8i | 1.19089 | + | 0.765336i | ||||
\(850\) | −6425.71 | −0.259294 | ||||||||
\(851\) | 337.662 | + | 17175.3i | 0.0136015 | + | 0.691849i | ||||
\(852\) | −25676.0 | −1.03245 | ||||||||
\(853\) | −2594.72 | − | 1667.53i | −0.104152 | − | 0.0669344i | 0.487528 | − | 0.873107i | \(-0.337899\pi\) |
−0.591680 | + | 0.806173i | \(0.701535\pi\) | |||||||
\(854\) | 2012.11 | + | 13994.5i | 0.0806240 | + | 0.560752i | ||||
\(855\) | 1326.81 | + | 2905.30i | 0.0530712 | + | 0.116210i | ||||
\(856\) | −11392.2 | − | 3345.05i | −0.454879 | − | 0.133565i | ||||
\(857\) | −11065.2 | + | 24229.5i | −0.441052 | + | 0.965769i | 0.550352 | + | 0.834933i | \(0.314494\pi\) |
−0.991404 | + | 0.130836i | \(0.958234\pi\) | |||||||
\(858\) | 1903.89 | − | 2197.21i | 0.0757551 | − | 0.0874260i | ||||
\(859\) | 2226.15 | − | 15483.2i | 0.0884229 | − | 0.614995i | −0.896635 | − | 0.442771i | \(-0.853996\pi\) |
0.985058 | − | 0.172224i | \(-0.0550953\pi\) | |||||||
\(860\) | −2738.76 | + | 804.173i | −0.108594 | + | 0.0318861i | ||||
\(861\) | 10064.1 | + | 11614.6i | 0.398356 | + | 0.459727i | ||||
\(862\) | 8252.61 | − | 5303.63i | 0.326085 | − | 0.209562i | ||||
\(863\) | 27969.9 | − | 17975.1i | 1.10325 | − | 0.709016i | 0.143439 | − | 0.989659i | \(-0.454184\pi\) |
0.959812 | + | 0.280643i | \(0.0905477\pi\) | |||||||
\(864\) | 2374.01 | + | 2739.75i | 0.0934784 | + | 0.107880i | ||||
\(865\) | 13310.3 | − | 3908.25i | 0.523195 | − | 0.153624i | ||||
\(866\) | −1333.79 | + | 9276.73i | −0.0523373 | + | 0.364014i | ||||
\(867\) | 44819.8 | − | 51724.8i | 1.75566 | − | 2.02614i | ||||
\(868\) | −1504.49 | + | 3294.37i | −0.0588315 | + | 0.128823i | ||||
\(869\) | 15184.0 | + | 4458.42i | 0.592729 | + | 0.174041i | ||||
\(870\) | −2459.51 | − | 5385.59i | −0.0958452 | − | 0.209872i | ||||
\(871\) | −268.523 | − | 1867.62i | −0.0104461 | − | 0.0726543i | ||||
\(872\) | 9187.20 | + | 5904.26i | 0.356787 | + | 0.229293i | ||||
\(873\) | 13777.4 | 0.534130 | ||||||||
\(874\) | 16590.5 | + | 7185.96i | 0.642086 | + | 0.278111i | ||||
\(875\) | −974.276 | −0.0376418 | ||||||||
\(876\) | −3756.00 | − | 2413.83i | −0.144867 | − | 0.0931003i | ||||
\(877\) | 432.606 | + | 3008.84i | 0.0166569 | + | 0.115851i | 0.996453 | − | 0.0841454i | \(-0.0268160\pi\) |
−0.979797 | + | 0.199996i | \(0.935907\pi\) | |||||||
\(878\) | −4425.30 | − | 9690.06i | −0.170099 | − | 0.372464i | ||||
\(879\) | 32261.4 | + | 9472.80i | 1.23794 | + | 0.363492i | ||||
\(880\) | 1301.15 | − | 2849.11i | 0.0498428 | − | 0.109140i | ||||
\(881\) | 11456.4 | − | 13221.3i | 0.438110 | − | 0.505605i | −0.493159 | − | 0.869939i | \(-0.664158\pi\) |
0.931268 | + | 0.364334i | \(0.118703\pi\) | |||||||
\(882\) | −626.175 | + | 4355.14i | −0.0239052 | + | 0.166264i | ||||
\(883\) | 34205.1 | − | 10043.5i | 1.30362 | − | 0.382777i | 0.445063 | − | 0.895499i | \(-0.353181\pi\) |
0.858554 | + | 0.512722i | \(0.171363\pi\) | |||||||
\(884\) | 2118.92 | + | 2445.37i | 0.0806189 | + | 0.0930392i | ||||
\(885\) | 6179.08 | − | 3971.05i | 0.234698 | − | 0.150831i | ||||
\(886\) | −1599.64 | + | 1028.03i | −0.0606557 | + | 0.0389811i | ||||
\(887\) | 21581.5 | + | 24906.4i | 0.816952 | + | 0.942812i | 0.999182 | − | 0.0404436i | \(-0.0128771\pi\) |
−0.182230 | + | 0.983256i | \(0.558332\pi\) | |||||||
\(888\) | 7051.54 | − | 2070.52i | 0.266480 | − | 0.0782456i | ||||
\(889\) | −1577.80 | + | 10973.8i | −0.0595250 | + | 0.414005i | ||||
\(890\) | 933.799 | − | 1077.66i | 0.0351697 | − | 0.0405880i | ||||
\(891\) | −14291.4 | + | 31293.8i | −0.537351 | + | 1.17664i | ||||
\(892\) | −15904.0 | − | 4669.83i | −0.596978 | − | 0.175289i | ||||
\(893\) | 1747.10 | + | 3825.62i | 0.0654698 | + | 0.143359i | ||||
\(894\) | −3157.07 | − | 21957.9i | −0.118108 | − | 0.821457i | ||||
\(895\) | −8431.24 | − | 5418.43i | −0.314889 | − | 0.202367i | ||||
\(896\) | 997.659 | 0.0371980 | ||||||||
\(897\) | −2281.46 | − | 3401.12i | −0.0849227 | − | 0.126600i | ||||
\(898\) | −8882.14 | −0.330068 | ||||||||
\(899\) | −9808.77 | − | 6303.71i | −0.363894 | − | 0.233861i | ||||
\(900\) | −110.925 | − | 771.503i | −0.00410835 | − | 0.0285742i | ||||
\(901\) | −12722.4 | − | 27858.3i | −0.470417 | − | 1.03007i | ||||
\(902\) | −25114.6 | − | 7374.31i | −0.927078 | − | 0.272215i | ||||
\(903\) | 2725.78 | − | 5968.63i | 0.100452 | − | 0.219960i | ||||
\(904\) | −3425.68 | + | 3953.44i | −0.126036 | + | 0.145453i | ||||
\(905\) | 2856.02 | − | 19864.0i | 0.104903 | − | 0.729616i | ||||
\(906\) | −10092.3 | + | 2963.37i | −0.370082 | + | 0.108666i | ||||
\(907\) | −5188.61 | − | 5987.98i | −0.189950 | − | 0.219214i | 0.652784 | − | 0.757544i | \(-0.273601\pi\) |
−0.842734 | + | 0.538330i | \(0.819056\pi\) | |||||||
\(908\) | 5138.42 | − | 3302.26i | 0.187802 | − | 0.120693i | ||||
\(909\) | 3381.57 | − | 2173.21i | 0.123388 | − | 0.0792967i | ||||
\(910\) | 321.274 | + | 370.770i | 0.0117035 | + | 0.0135065i | ||||
\(911\) | −7507.55 | + | 2204.42i | −0.273037 | + | 0.0801708i | −0.415385 | − | 0.909646i | \(-0.636353\pi\) |
0.142348 | + | 0.989817i | \(0.454535\pi\) | |||||||
\(912\) | 1100.78 | − | 7656.08i | 0.0399675 | − | 0.277980i | ||||
\(913\) | 7264.63 | − | 8383.83i | 0.263334 | − | 0.303904i | ||||
\(914\) | 10292.5 | − | 22537.4i | 0.372478 | − | 0.815612i | ||||
\(915\) | −25666.4 | − | 7536.34i | −0.927328 | − | 0.272288i | ||||
\(916\) | −2592.24 | − | 5676.20i | −0.0935042 | − | 0.204746i | ||||
\(917\) | −2991.56 | − | 20806.7i | −0.107732 | − | 0.749290i | ||||
\(918\) | −24495.8 | − | 15742.5i | −0.880698 | − | 0.565990i | ||||
\(919\) | 54298.2 | 1.94900 | 0.974500 | − | 0.224387i | \(-0.0720381\pi\) | ||||
0.974500 | + | 0.224387i | \(0.0720381\pi\) | |||||||
\(920\) | −3390.64 | − | 2823.25i | −0.121507 | − | 0.101174i | ||||
\(921\) | 39327.9 | 1.40705 | ||||||||
\(922\) | 19317.0 | + | 12414.3i | 0.689990 | + | 0.443430i | ||||
\(923\) | 974.805 | + | 6779.92i | 0.0347628 | + | 0.241781i | ||||
\(924\) | 2991.04 | + | 6549.47i | 0.106491 | + | 0.233184i | ||||
\(925\) | 3735.76 | + | 1096.92i | 0.132790 | + | 0.0389908i | ||||
\(926\) | 5419.78 | − | 11867.7i | 0.192338 | − | 0.421162i | ||||
\(927\) | 1083.37 | − | 1250.28i | 0.0383848 | − | 0.0442984i | ||||
\(928\) | −457.102 | + | 3179.21i | −0.0161693 | + | 0.112460i | ||||
\(929\) | 35165.5 | − | 10325.5i | 1.24192 | − | 0.364660i | 0.406183 | − | 0.913792i | \(-0.366859\pi\) |
0.835736 | + | 0.549131i | \(0.185041\pi\) | |||||||
\(930\) | −4487.23 | − | 5178.54i | −0.158217 | − | 0.182593i | ||||
\(931\) | −19459.7 | + | 12506.0i | −0.685034 | + | 0.440244i | ||||
\(932\) | 8930.72 | − | 5739.42i | 0.313879 | − | 0.201718i | ||||
\(933\) | −34868.9 | − | 40240.9i | −1.22353 | − | 1.41203i | ||||
\(934\) | −16051.4 | + | 4713.12i | −0.562332 | + | 0.165116i | ||||
\(935\) | −3580.35 | + | 24901.9i | −0.125230 | + | 0.870993i | ||||
\(936\) | −257.025 | + | 296.622i | −0.00897555 | + | 0.0103583i | ||||
\(937\) | 4382.91 | − | 9597.24i | 0.152811 | − | 0.334608i | −0.817709 | − | 0.575632i | \(-0.804756\pi\) |
0.970519 | + | 0.241024i | \(0.0774832\pi\) | |||||||
\(938\) | 4483.53 | + | 1316.48i | 0.156069 | + | 0.0458259i | ||||
\(939\) | 6131.17 | + | 13425.4i | 0.213081 | + | 0.466582i | ||||
\(940\) | −146.063 | − | 1015.89i | −0.00506814 | − | 0.0352497i | ||||
\(941\) | −938.078 | − | 602.866i | −0.0324978 | − | 0.0208851i | 0.524291 | − | 0.851539i | \(-0.324330\pi\) |
−0.556789 | + | 0.830654i | \(0.687967\pi\) | |||||||
\(942\) | 4948.00 | 0.171141 | ||||||||
\(943\) | −19320.7 | + | 31404.2i | −0.667201 | + | 1.08448i | ||||
\(944\) | −3984.67 | −0.137383 | ||||||||
\(945\) | −3714.09 | − | 2386.90i | −0.127851 | − | 0.0821649i | ||||
\(946\) | 1590.44 | + | 11061.7i | 0.0546614 | + | 0.380178i | ||||
\(947\) | −9850.71 | − | 21570.1i | −0.338020 | − | 0.740161i | 0.661936 | − | 0.749561i | \(-0.269735\pi\) |
−0.999956 | + | 0.00939958i | \(0.997008\pi\) | |||||||
\(948\) | −9150.53 | − | 2686.84i | −0.313497 | − | 0.0920511i | ||||
\(949\) | −494.791 | + | 1083.44i | −0.0169247 | + | 0.0370600i | ||||
\(950\) | 2683.45 | − | 3096.87i | 0.0916450 | − | 0.105764i | ||||
\(951\) | 1880.30 | − | 13077.8i | 0.0641147 | − | 0.445927i | ||||
\(952\) | −7688.74 | + | 2257.62i | −0.261758 | + | 0.0768590i | ||||
\(953\) | 32671.2 | + | 37704.5i | 1.11052 | + | 1.28160i | 0.955920 | + | 0.293627i | \(0.0948625\pi\) |
0.154597 | + | 0.987978i | \(0.450592\pi\) | |||||||
\(954\) | 3125.18 | − | 2008.43i | 0.106060 | − | 0.0681607i | ||||
\(955\) | 10944.5 | − | 7033.58i | 0.370842 | − | 0.238326i | ||||
\(956\) | 6299.80 | + | 7270.36i | 0.213128 | + | 0.245963i | ||||
\(957\) | −22241.5 | + | 6530.68i | −0.751269 | + | 0.220592i | ||||
\(958\) | −5892.07 | + | 40980.3i | −0.198710 | + | 1.38206i | ||||
\(959\) | 7834.97 | − | 9042.04i | 0.263821 | − | 0.304466i | ||||
\(960\) | −784.127 | + | 1717.00i | −0.0263621 | + | 0.0577249i | ||||
\(961\) | 15636.6 | + | 4591.31i | 0.524876 | + | 0.154118i | ||||
\(962\) | −814.451 | − | 1783.40i | −0.0272962 | − | 0.0597704i | ||||
\(963\) | 1646.29 | + | 11450.2i | 0.0550892 | + | 0.383154i | ||||
\(964\) | −20453.3 | − | 13144.6i | −0.683359 | − | 0.439168i | ||||
\(965\) | −6225.70 | −0.207681 | ||||||||
\(966\) | 10009.0 | − | 1640.49i | 0.333370 | − | 0.0546397i | ||||
\(967\) | −32934.6 | −1.09525 | −0.547624 | − | 0.836725i | \(-0.684467\pi\) | ||||
−0.547624 | + | 0.836725i | \(0.684467\pi\) | |||||||
\(968\) | −1358.66 | − | 873.160i | −0.0451127 | − | 0.0289922i | ||||
\(969\) | 8841.60 | + | 61494.7i | 0.293120 | + | 2.03869i | ||||
\(970\) | −7342.94 | − | 16078.8i | −0.243059 | − | 0.532226i | ||||
\(971\) | −16102.7 | − | 4728.18i | −0.532194 | − | 0.156266i | 0.00458471 | − | 0.999989i | \(-0.498541\pi\) |
−0.536778 | + | 0.843723i | \(0.680359\pi\) | |||||||
\(972\) | 3529.98 | − | 7729.58i | 0.116486 | − | 0.255068i | ||||
\(973\) | 9795.00 | − | 11304.0i | 0.322727 | − | 0.372447i | ||||
\(974\) | −352.234 | + | 2449.84i | −0.0115876 | + | 0.0805934i | ||||
\(975\) | −890.618 | + | 261.509i | −0.0292539 | + | 0.00858973i | ||||
\(976\) | 9503.15 | + | 10967.2i | 0.311669 | + | 0.359685i | ||||
\(977\) | −12600.4 | + | 8097.78i | −0.412613 | + | 0.265170i | −0.730438 | − | 0.682979i | \(-0.760684\pi\) |
0.317825 | + | 0.948149i | \(0.397048\pi\) | |||||||
\(978\) | −15408.0 | + | 9902.11i | −0.503776 | + | 0.323757i | ||||
\(979\) | −3656.01 | − | 4219.26i | −0.119353 | − | 0.137741i | ||||
\(980\) | 5416.34 | − | 1590.38i | 0.176550 | − | 0.0518397i | ||||
\(981\) | 1514.25 | − | 10531.8i | 0.0492826 | − | 0.342768i | ||||
\(982\) | 17779.1 | − | 20518.2i | 0.577753 | − | 0.666762i | ||||
\(983\) | 2667.96 | − | 5842.01i | 0.0865662 | − | 0.189554i | −0.861398 | − | 0.507931i | \(-0.830411\pi\) |
0.947964 | + | 0.318377i | \(0.103138\pi\) | |||||||
\(984\) | 15135.1 | + | 4444.08i | 0.490336 | + | 0.143976i | ||||
\(985\) | 7249.67 | + | 15874.6i | 0.234511 | + | 0.513508i | ||||
\(986\) | −3671.50 | − | 25535.9i | −0.118585 | − | 0.824775i | ||||
\(987\) | 1984.79 | + | 1275.55i | 0.0640086 | + | 0.0411358i | ||||
\(988\) | −2063.43 | −0.0664439 | ||||||||
\(989\) | 15623.3 | + | 1933.68i | 0.502318 | + | 0.0621713i | ||||
\(990\) | −3051.65 | −0.0979676 | ||||||||
\(991\) | 40288.1 | + | 25891.6i | 1.29142 | + | 0.829943i | 0.992250 | − | 0.124258i | \(-0.0396549\pi\) |
0.299167 | + | 0.954201i | \(0.403291\pi\) | |||||||
\(992\) | 529.024 | + | 3679.44i | 0.0169320 | + | 0.117764i | ||||
\(993\) | −13729.1 | − | 30062.6i | −0.438751 | − | 0.960732i | ||||
\(994\) | −16276.3 | − | 4779.16i | −0.519370 | − | 0.152501i | ||||
\(995\) | −7790.25 | + | 17058.3i | −0.248209 | + | 0.543501i | ||||
\(996\) | −4377.98 | + | 5052.46i | −0.139279 | + | 0.160736i | ||||
\(997\) | −7530.85 | + | 52378.2i | −0.239222 | + | 1.66383i | 0.416735 | + | 0.909028i | \(0.363174\pi\) |
−0.655957 | + | 0.754798i | \(0.727735\pi\) | |||||||
\(998\) | −33716.4 | + | 9900.04i | −1.06941 | + | 0.314008i | ||||
\(999\) | 11553.9 | + | 13333.9i | 0.365916 | + | 0.422290i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 230.4.g.b.71.5 | ✓ | 60 | |
23.12 | even | 11 | inner | 230.4.g.b.81.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.4.g.b.71.5 | ✓ | 60 | 1.1 | even | 1 | trivial | |
230.4.g.b.81.5 | yes | 60 | 23.12 | even | 11 | inner |