Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
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([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), 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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.21 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.21 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28641 | + | 0.587486i | 0.643207 | + | 0.293743i | ||||
\(3\) | 0.810314 | − | 2.75968i | 0.270105 | − | 0.919892i | −0.707014 | − | 0.707199i | \(-0.749958\pi\) |
0.977119 | − | 0.212693i | \(-0.0682234\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | −1.47339 | + | 4.77798i | −0.294678 | + | 0.955597i | ||||
\(6\) | 2.66367 | − | 3.07404i | 0.443945 | − | 0.512340i | ||||
\(7\) | 0.976678 | − | 6.79294i | 0.139525 | − | 0.970421i | −0.792976 | − | 0.609253i | \(-0.791469\pi\) |
0.932501 | − | 0.361167i | \(-0.117622\pi\) | |||||||
\(8\) | 0.796860 | + | 2.71386i | 0.0996075 | + | 0.339232i | ||||
\(9\) | 0.612076 | + | 0.393358i | 0.0680085 | + | 0.0437064i | ||||
\(10\) | −4.70239 | + | 5.28087i | −0.470239 | + | 0.528087i | ||||
\(11\) | 15.1121 | − | 6.90144i | 1.37382 | − | 0.627404i | 0.414587 | − | 0.910010i | \(-0.363926\pi\) |
0.959236 | + | 0.282606i | \(0.0911987\pi\) | |||||||
\(12\) | 5.23253 | − | 2.38962i | 0.436045 | − | 0.199135i | ||||
\(13\) | 16.4246 | − | 2.36151i | 1.26343 | − | 0.181654i | 0.522154 | − | 0.852851i | \(-0.325129\pi\) |
0.741279 | + | 0.671197i | \(0.234220\pi\) | |||||||
\(14\) | 5.24717 | − | 8.16475i | 0.374798 | − | 0.583197i | ||||
\(15\) | 11.9918 | + | 7.93775i | 0.799452 | + | 0.529183i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −5.15630 | + | 5.95069i | −0.303312 | + | 0.350041i | −0.886860 | − | 0.462038i | \(-0.847118\pi\) |
0.583548 | + | 0.812078i | \(0.301664\pi\) | |||||||
\(18\) | 0.556292 | + | 0.865607i | 0.0309051 | + | 0.0480893i | ||||
\(19\) | −8.26853 | + | 7.16472i | −0.435186 | + | 0.377091i | −0.844724 | − | 0.535202i | \(-0.820235\pi\) |
0.409538 | + | 0.912293i | \(0.365690\pi\) | |||||||
\(20\) | −9.15165 | + | 4.03080i | −0.457582 | + | 0.201540i | ||||
\(21\) | −17.9549 | − | 8.19973i | −0.854996 | − | 0.390463i | ||||
\(22\) | 23.4949 | 1.06795 | ||||||||
\(23\) | −9.37166 | − | 21.0041i | −0.407463 | − | 0.913222i | ||||
\(24\) | 8.13507 | 0.338961 | ||||||||
\(25\) | −20.6582 | − | 14.0797i | −0.826329 | − | 0.563187i | ||||
\(26\) | 22.5162 | + | 6.61136i | 0.866008 | + | 0.254283i | ||||
\(27\) | 21.1446 | − | 18.3219i | 0.783132 | − | 0.678588i | ||||
\(28\) | 11.5467 | − | 7.42062i | 0.412382 | − | 0.265022i | ||||
\(29\) | −29.7713 | + | 34.3579i | −1.02660 | + | 1.18476i | −0.0439942 | + | 0.999032i | \(0.514008\pi\) |
−0.982602 | + | 0.185723i | \(0.940537\pi\) | |||||||
\(30\) | 10.7631 | + | 17.2562i | 0.358769 | + | 0.575208i | ||||
\(31\) | 23.0191 | − | 6.75902i | 0.742552 | − | 0.218033i | 0.111490 | − | 0.993766i | \(-0.464438\pi\) |
0.631062 | + | 0.775733i | \(0.282619\pi\) | |||||||
\(32\) | −3.05833 | + | 4.75885i | −0.0955727 | + | 0.148714i | ||||
\(33\) | −6.80024 | − | 47.2967i | −0.206068 | − | 1.43323i | ||||
\(34\) | −10.1291 | + | 4.62580i | −0.297914 | + | 0.136053i | ||||
\(35\) | 31.0175 | + | 14.6752i | 0.886215 | + | 0.419292i | ||||
\(36\) | 0.207090 | + | 1.44034i | 0.00575250 | + | 0.0400095i | ||||
\(37\) | 22.6337 | + | 14.5458i | 0.611721 | + | 0.393129i | 0.809502 | − | 0.587117i | \(-0.199737\pi\) |
−0.197781 | + | 0.980246i | \(0.563374\pi\) | |||||||
\(38\) | −14.8459 | + | 4.35915i | −0.390682 | + | 0.114715i | ||||
\(39\) | 6.79212 | − | 47.2402i | 0.174157 | − | 1.21129i | ||||
\(40\) | −14.1408 | − | 0.191190i | −0.353521 | − | 0.00477974i | ||||
\(41\) | −58.9339 | + | 37.8745i | −1.43741 | + | 0.923769i | −0.437716 | + | 0.899113i | \(0.644212\pi\) |
−0.999696 | + | 0.0246551i | \(0.992151\pi\) | |||||||
\(42\) | −18.2802 | − | 21.0965i | −0.435243 | − | 0.502298i | ||||
\(43\) | −73.8331 | − | 21.6794i | −1.71705 | − | 0.504171i | −0.732723 | − | 0.680527i | \(-0.761751\pi\) |
−0.984326 | + | 0.176356i | \(0.943569\pi\) | |||||||
\(44\) | 30.2241 | + | 13.8029i | 0.686912 | + | 0.313702i | ||||
\(45\) | −2.78128 | + | 2.34492i | −0.0618063 | + | 0.0521093i | ||||
\(46\) | 0.283775 | − | 32.5257i | 0.00616902 | − | 0.707080i | ||||
\(47\) | 13.1589i | 0.279976i | 0.990153 | + | 0.139988i | \(0.0447064\pi\) | ||||
−0.990153 | + | 0.139988i | \(0.955294\pi\) | |||||||
\(48\) | 10.4651 | + | 4.77924i | 0.218022 | + | 0.0995674i | ||||
\(49\) | 1.82497 | + | 0.535860i | 0.0372443 | + | 0.0109359i | ||||
\(50\) | −18.3034 | − | 30.2487i | −0.366069 | − | 0.604974i | ||||
\(51\) | 12.2438 | + | 19.0517i | 0.240074 | + | 0.373562i | ||||
\(52\) | 25.0811 | + | 21.7329i | 0.482329 | + | 0.417940i | ||||
\(53\) | −10.5429 | + | 73.3276i | −0.198923 | + | 1.38354i | 0.608494 | + | 0.793558i | \(0.291774\pi\) |
−0.807417 | + | 0.589981i | \(0.799135\pi\) | |||||||
\(54\) | 37.9645 | − | 11.1474i | 0.703047 | − | 0.206433i | ||||
\(55\) | 10.7090 | + | 82.3737i | 0.194709 | + | 1.49770i | ||||
\(56\) | 19.2133 | − | 2.76246i | 0.343095 | − | 0.0493297i | ||||
\(57\) | 13.0722 | + | 28.6241i | 0.229337 | + | 0.502178i | ||||
\(58\) | −58.4830 | + | 26.7083i | −1.00833 | + | 0.460488i | ||||
\(59\) | 7.25963 | + | 50.4918i | 0.123044 | + | 0.855793i | 0.954075 | + | 0.299567i | \(0.0968422\pi\) |
−0.831031 | + | 0.556226i | \(0.812249\pi\) | |||||||
\(60\) | 3.70798 | + | 28.5218i | 0.0617997 | + | 0.475363i | ||||
\(61\) | −32.2208 | − | 109.734i | −0.528211 | − | 1.79892i | −0.598169 | − | 0.801370i | \(-0.704105\pi\) |
0.0699581 | − | 0.997550i | \(-0.477713\pi\) | |||||||
\(62\) | 33.5829 | + | 4.82850i | 0.541660 | + | 0.0778790i | ||||
\(63\) | 3.26986 | − | 3.77362i | 0.0519025 | − | 0.0598987i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −12.9167 | + | 81.9560i | −0.198718 | + | 1.26086i | ||||
\(66\) | 19.0382 | − | 64.8382i | 0.288458 | − | 0.982397i | ||||
\(67\) | −12.4827 | + | 27.3333i | −0.186309 | + | 0.407960i | −0.979621 | − | 0.200856i | \(-0.935628\pi\) |
0.793312 | + | 0.608816i | \(0.208355\pi\) | |||||||
\(68\) | −15.7478 | −0.231585 | ||||||||
\(69\) | −65.5585 | + | 8.84282i | −0.950123 | + | 0.128157i | ||||
\(70\) | 31.2799 | + | 37.1008i | 0.446856 | + | 0.530011i | ||||
\(71\) | 25.3017 | − | 55.4031i | 0.356363 | − | 0.780325i | −0.643526 | − | 0.765424i | \(-0.722529\pi\) |
0.999889 | − | 0.0149012i | \(-0.00474338\pi\) | |||||||
\(72\) | −0.579777 | + | 1.97454i | −0.00805245 | + | 0.0274241i | ||||
\(73\) | 42.4065 | − | 36.7454i | 0.580910 | − | 0.503362i | −0.314110 | − | 0.949387i | \(-0.601706\pi\) |
0.895021 | + | 0.446025i | \(0.147161\pi\) | |||||||
\(74\) | 20.5708 | + | 32.0088i | 0.277984 | + | 0.432552i | ||||
\(75\) | −55.5950 | + | 45.6011i | −0.741267 | + | 0.608014i | ||||
\(76\) | −21.6589 | − | 3.11408i | −0.284986 | − | 0.0409748i | ||||
\(77\) | −32.1215 | − | 109.396i | −0.417163 | − | 1.42073i | ||||
\(78\) | 36.4904 | − | 56.7802i | 0.467826 | − | 0.727951i | ||||
\(79\) | −85.9651 | + | 12.3599i | −1.08817 | + | 0.156455i | −0.662969 | − | 0.748647i | \(-0.730704\pi\) |
−0.425196 | + | 0.905101i | \(0.639795\pi\) | |||||||
\(80\) | −18.0787 | − | 8.55349i | −0.225983 | − | 0.106919i | ||||
\(81\) | −30.7085 | − | 67.2422i | −0.379117 | − | 0.830151i | ||||
\(82\) | −98.0641 | + | 14.0995i | −1.19590 | + | 0.171945i | ||||
\(83\) | −6.98972 | − | 4.49202i | −0.0842135 | − | 0.0541207i | 0.497856 | − | 0.867259i | \(-0.334121\pi\) |
−0.582070 | + | 0.813139i | \(0.697757\pi\) | |||||||
\(84\) | −11.1220 | − | 37.8782i | −0.132405 | − | 0.450931i | ||||
\(85\) | −20.8350 | − | 33.4044i | −0.245118 | − | 0.392993i | ||||
\(86\) | −82.2436 | − | 71.2645i | −0.956321 | − | 0.828657i | ||||
\(87\) | 70.6926 | + | 110.000i | 0.812559 | + | 1.26437i | ||||
\(88\) | 30.7717 | + | 35.5125i | 0.349679 | + | 0.403551i | ||||
\(89\) | 25.6344 | − | 87.3029i | 0.288027 | − | 0.980931i | −0.680650 | − | 0.732609i | \(-0.738303\pi\) |
0.968677 | − | 0.248323i | \(-0.0798793\pi\) | |||||||
\(90\) | −4.95549 | + | 1.38257i | −0.0550610 | + | 0.0153619i | ||||
\(91\) | − | 113.878i | − | 1.25141i | ||||||
\(92\) | 19.4734 | − | 41.6748i | 0.211668 | − | 0.452987i | ||||
\(93\) | − | 69.0023i | − | 0.741960i | ||||||
\(94\) | −7.73065 | + | 16.9278i | −0.0822410 | + | 0.180083i | ||||
\(95\) | −22.0501 | − | 50.0633i | −0.232107 | − | 0.526982i | ||||
\(96\) | 10.6547 | + | 12.2962i | 0.110986 | + | 0.128085i | ||||
\(97\) | −115.919 | + | 74.4964i | −1.19504 | + | 0.768004i | −0.978091 | − | 0.208180i | \(-0.933246\pi\) |
−0.216947 | + | 0.976183i | \(0.569610\pi\) | |||||||
\(98\) | 2.03286 | + | 1.76148i | 0.0207435 | + | 0.0179743i | ||||
\(99\) | 11.9645 | + | 1.72023i | 0.120853 | + | 0.0173761i | ||||
\(100\) | −5.77511 | − | 49.6654i | −0.0577511 | − | 0.496654i | ||||
\(101\) | 120.978 | + | 77.7481i | 1.19781 | + | 0.769783i | 0.978575 | − | 0.205889i | \(-0.0660087\pi\) |
0.219231 | + | 0.975673i | \(0.429645\pi\) | |||||||
\(102\) | 4.55797 | + | 31.7014i | 0.0446859 | + | 0.310798i | ||||
\(103\) | −7.68593 | − | 16.8298i | −0.0746207 | − | 0.163397i | 0.868645 | − | 0.495434i | \(-0.164991\pi\) |
−0.943266 | + | 0.332038i | \(0.892264\pi\) | |||||||
\(104\) | 19.4969 | + | 42.6923i | 0.187470 | + | 0.410503i | ||||
\(105\) | 65.6328 | − | 73.7068i | 0.625074 | − | 0.701970i | ||||
\(106\) | −56.6414 | + | 88.1358i | −0.534353 | + | 0.831470i | ||||
\(107\) | −137.191 | + | 40.2829i | −1.28216 | + | 0.376476i | −0.850697 | − | 0.525656i | \(-0.823820\pi\) |
−0.431461 | + | 0.902132i | \(0.642002\pi\) | |||||||
\(108\) | 55.3870 | + | 7.96345i | 0.512843 | + | 0.0737356i | ||||
\(109\) | 34.8051 | + | 30.1588i | 0.319312 | + | 0.276686i | 0.799737 | − | 0.600350i | \(-0.204972\pi\) |
−0.480425 | + | 0.877036i | \(0.659518\pi\) | |||||||
\(110\) | −34.6171 | + | 112.258i | −0.314701 | + | 1.02053i | ||||
\(111\) | 58.4820 | − | 50.6749i | 0.526865 | − | 0.456531i | ||||
\(112\) | 26.3392 | + | 7.73389i | 0.235172 | + | 0.0690526i | ||||
\(113\) | 16.9586 | − | 37.1342i | 0.150076 | − | 0.328621i | −0.819631 | − | 0.572892i | \(-0.805821\pi\) |
0.969707 | + | 0.244271i | \(0.0785487\pi\) | |||||||
\(114\) | 44.5022i | 0.390370i | ||||||||
\(115\) | 114.165 | − | 13.8303i | 0.992742 | − | 0.120264i | ||||
\(116\) | −90.9240 | −0.783828 | ||||||||
\(117\) | 10.9820 | + | 5.01533i | 0.0938636 | + | 0.0428661i | ||||
\(118\) | −20.3243 | + | 69.2183i | −0.172240 | + | 0.586596i | ||||
\(119\) | 35.3867 | + | 40.8384i | 0.297367 | + | 0.343180i | ||||
\(120\) | −11.9861 | + | 38.8692i | −0.0998846 | + | 0.323910i | ||||
\(121\) | 101.506 | − | 117.144i | 0.838894 | − | 0.968135i | ||||
\(122\) | 23.0179 | − | 160.093i | 0.188671 | − | 1.31224i | ||||
\(123\) | 56.7664 | + | 193.329i | 0.461516 | + | 1.57178i | ||||
\(124\) | 40.3649 | + | 25.9409i | 0.325523 | + | 0.209201i | ||||
\(125\) | 97.7101 | − | 77.9598i | 0.781681 | − | 0.623678i | ||||
\(126\) | 6.42334 | − | 2.93344i | 0.0509789 | − | 0.0232813i | ||||
\(127\) | −137.090 | + | 62.6069i | −1.07945 | + | 0.492968i | −0.874112 | − | 0.485724i | \(-0.838556\pi\) |
−0.205337 | + | 0.978691i | \(0.565829\pi\) | |||||||
\(128\) | −11.1986 | + | 1.61011i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | −119.656 | + | 186.188i | −0.927566 | + | 1.44332i | ||||
\(130\) | −64.7642 | + | 97.8410i | −0.498186 | + | 0.752623i | ||||
\(131\) | 4.58232 | − | 31.8707i | 0.0349796 | − | 0.243288i | −0.964829 | − | 0.262880i | \(-0.915328\pi\) |
0.999808 | + | 0.0195920i | \(0.00623672\pi\) | |||||||
\(132\) | 62.5825 | − | 72.2241i | 0.474110 | − | 0.547152i | ||||
\(133\) | 40.5938 | + | 63.1653i | 0.305217 | + | 0.474927i | ||||
\(134\) | −32.1159 | + | 27.8286i | −0.239671 | + | 0.207676i | ||||
\(135\) | 56.3874 | + | 128.024i | 0.417684 | + | 0.948324i | ||||
\(136\) | −20.2582 | − | 9.25160i | −0.148957 | − | 0.0680265i | ||||
\(137\) | −118.780 | −0.867010 | −0.433505 | − | 0.901151i | \(-0.642723\pi\) | ||||
−0.433505 | + | 0.901151i | \(0.642723\pi\) | |||||||
\(138\) | −89.5304 | − | 27.1391i | −0.648771 | − | 0.196660i | ||||
\(139\) | 68.0035 | 0.489234 | 0.244617 | − | 0.969620i | \(-0.421338\pi\) | ||||
0.244617 | + | 0.969620i | \(0.421338\pi\) | |||||||
\(140\) | 18.4428 | + | 66.1034i | 0.131734 | + | 0.472167i | ||||
\(141\) | 36.3143 | + | 10.6628i | 0.257548 | + | 0.0756229i | ||||
\(142\) | 65.0970 | − | 56.4069i | 0.458430 | − | 0.397232i | ||||
\(143\) | 231.912 | − | 149.041i | 1.62176 | − | 1.04224i | ||||
\(144\) | −1.90585 | + | 2.19946i | −0.0132350 | + | 0.0152740i | ||||
\(145\) | −120.297 | − | 192.869i | −0.829632 | − | 1.33013i | ||||
\(146\) | 76.1396 | − | 22.3566i | 0.521504 | − | 0.153128i | ||||
\(147\) | 2.95760 | − | 4.60212i | 0.0201197 | − | 0.0313069i | ||||
\(148\) | 7.65787 | + | 53.2617i | 0.0517424 | + | 0.359876i | ||||
\(149\) | 37.5292 | − | 17.1390i | 0.251874 | − | 0.115027i | −0.285478 | − | 0.958385i | \(-0.592152\pi\) |
0.537351 | + | 0.843359i | \(0.319425\pi\) | |||||||
\(150\) | −98.3082 | + | 26.0006i | −0.655388 | + | 0.173337i | ||||
\(151\) | 12.2211 | + | 84.9995i | 0.0809343 | + | 0.562911i | 0.989429 | + | 0.145015i | \(0.0463231\pi\) |
−0.908495 | + | 0.417895i | \(0.862768\pi\) | |||||||
\(152\) | −26.0329 | − | 16.7303i | −0.171269 | − | 0.110068i | ||||
\(153\) | −5.49680 | + | 1.61401i | −0.0359268 | + | 0.0105491i | ||||
\(154\) | 22.9469 | − | 159.599i | 0.149006 | − | 1.03636i | ||||
\(155\) | −1.62169 | + | 119.944i | −0.0104625 | + | 0.773830i | ||||
\(156\) | 80.2993 | − | 51.6053i | 0.514739 | − | 0.330803i | ||||
\(157\) | 20.9203 | + | 24.1433i | 0.133250 | + | 0.153779i | 0.818453 | − | 0.574573i | \(-0.194832\pi\) |
−0.685203 | + | 0.728352i | \(0.740286\pi\) | |||||||
\(158\) | −117.848 | − | 34.6033i | −0.745873 | − | 0.219008i | ||||
\(159\) | 193.817 | + | 88.5134i | 1.21898 | + | 0.556688i | ||||
\(160\) | −18.2316 | − | 21.6243i | −0.113947 | − | 0.135152i | ||||
\(161\) | −151.833 | + | 43.1469i | −0.943060 | + | 0.267993i | ||||
\(162\) | − | 104.542i | − | 0.645322i | ||||||
\(163\) | 37.7878 | + | 17.2571i | 0.231827 | + | 0.105872i | 0.527942 | − | 0.849280i | \(-0.322964\pi\) |
−0.296115 | + | 0.955152i | \(0.595691\pi\) | |||||||
\(164\) | −134.434 | − | 39.4735i | −0.819721 | − | 0.240692i | ||||
\(165\) | 236.002 | + | 37.1952i | 1.43032 | + | 0.225425i | ||||
\(166\) | −6.35267 | − | 9.88495i | −0.0382691 | − | 0.0595479i | ||||
\(167\) | 21.2300 | + | 18.3959i | 0.127126 | + | 0.110155i | 0.716103 | − | 0.697994i | \(-0.245924\pi\) |
−0.588978 | + | 0.808149i | \(0.700469\pi\) | |||||||
\(168\) | 7.94534 | − | 55.2611i | 0.0472937 | − | 0.328935i | ||||
\(169\) | 102.037 | − | 29.9609i | 0.603772 | − | 0.177283i | ||||
\(170\) | −7.17787 | − | 55.2122i | −0.0422228 | − | 0.324778i | ||||
\(171\) | −7.87927 | + | 1.13287i | −0.0460776 | + | 0.00662496i | ||||
\(172\) | −63.9325 | − | 139.993i | −0.371700 | − | 0.813911i | ||||
\(173\) | 173.001 | − | 79.0069i | 1.00001 | − | 0.456687i | 0.152974 | − | 0.988230i | \(-0.451115\pi\) |
0.847031 | + | 0.531543i | \(0.178388\pi\) | |||||||
\(174\) | 26.3166 | + | 183.036i | 0.151245 | + | 1.05193i | ||||
\(175\) | −115.819 | + | 126.579i | −0.661822 | + | 0.723308i | ||||
\(176\) | 18.7221 | + | 63.7617i | 0.106376 | + | 0.362282i | ||||
\(177\) | 145.224 | + | 20.8800i | 0.820472 | + | 0.117966i | ||||
\(178\) | 84.2657 | − | 97.2478i | 0.473403 | − | 0.546336i | ||||
\(179\) | −22.8023 | + | 14.6541i | −0.127387 | + | 0.0818666i | −0.602782 | − | 0.797906i | \(-0.705941\pi\) |
0.475396 | + | 0.879772i | \(0.342305\pi\) | |||||||
\(180\) | −7.18705 | − | 1.13272i | −0.0399281 | − | 0.00629287i | ||||
\(181\) | 71.2894 | − | 242.789i | 0.393864 | − | 1.34138i | −0.489219 | − | 0.872161i | \(-0.662718\pi\) |
0.883083 | − | 0.469217i | \(-0.155464\pi\) | |||||||
\(182\) | 66.9017 | − | 146.494i | 0.367592 | − | 0.804913i | ||||
\(183\) | −328.940 | −1.79748 | ||||||||
\(184\) | 49.5342 | − | 42.1706i | 0.269208 | − | 0.229188i | ||||
\(185\) | −102.848 | + | 86.7116i | −0.555933 | + | 0.468711i | ||||
\(186\) | 40.5378 | − | 88.7655i | 0.217945 | − | 0.477234i | ||||
\(187\) | −36.8540 | + | 125.513i | −0.197080 | + | 0.671193i | ||||
\(188\) | −19.8896 | + | 17.2345i | −0.105796 | + | 0.0916727i | ||||
\(189\) | −103.808 | − | 161.528i | −0.549249 | − | 0.854648i | ||||
\(190\) | 1.04589 | − | 77.3563i | 0.00550467 | − | 0.407138i | ||||
\(191\) | 230.757 | + | 33.1778i | 1.20815 | + | 0.173706i | 0.716814 | − | 0.697264i | \(-0.245600\pi\) |
0.491336 | + | 0.870970i | \(0.336509\pi\) | |||||||
\(192\) | 6.48251 | + | 22.0774i | 0.0337631 | + | 0.114987i | ||||
\(193\) | −91.4883 | + | 142.359i | −0.474033 | + | 0.737609i | −0.993119 | − | 0.117113i | \(-0.962636\pi\) |
0.519086 | + | 0.854722i | \(0.326272\pi\) | |||||||
\(194\) | −192.885 | + | 27.7327i | −0.994252 | + | 0.142952i | ||||
\(195\) | 215.706 | + | 102.056i | 1.10618 | + | 0.523364i | ||||
\(196\) | 1.58025 | + | 3.46027i | 0.00806251 | + | 0.0176544i | ||||
\(197\) | 328.042 | − | 47.1654i | 1.66519 | − | 0.239418i | 0.755632 | − | 0.654997i | \(-0.227330\pi\) |
0.909557 | + | 0.415579i | \(0.136421\pi\) | |||||||
\(198\) | 14.3806 | + | 9.24188i | 0.0726295 | + | 0.0466762i | ||||
\(199\) | −29.0191 | − | 98.8300i | −0.145825 | − | 0.496633i | 0.853892 | − | 0.520451i | \(-0.174236\pi\) |
−0.999716 | + | 0.0238177i | \(0.992418\pi\) | |||||||
\(200\) | 21.7485 | − | 67.2830i | 0.108743 | − | 0.336415i | ||||
\(201\) | 65.3162 | + | 56.5968i | 0.324956 | + | 0.281576i | ||||
\(202\) | 109.952 | + | 171.089i | 0.544319 | + | 0.846977i | ||||
\(203\) | 204.314 | + | 235.791i | 1.00647 | + | 1.16153i | ||||
\(204\) | −12.7607 | + | 43.4588i | −0.0625522 | + | 0.213033i | ||||
\(205\) | −94.1310 | − | 337.389i | −0.459176 | − | 1.64580i | ||||
\(206\) | − | 26.1655i | − | 0.127017i | ||||||
\(207\) | 2.52595 | − | 16.5425i | 0.0122027 | − | 0.0799156i | ||||
\(208\) | 66.3741i | 0.319106i | ||||||||
\(209\) | −75.5075 | + | 165.338i | −0.361280 | + | 0.791093i | ||||
\(210\) | 127.733 | − | 56.2592i | 0.608251 | − | 0.267901i | ||||
\(211\) | −120.851 | − | 139.470i | −0.572755 | − | 0.660994i | 0.393276 | − | 0.919420i | \(-0.371342\pi\) |
−0.966031 | + | 0.258426i | \(0.916796\pi\) | |||||||
\(212\) | −124.643 | + | 80.1031i | −0.587938 | + | 0.377845i | ||||
\(213\) | −132.392 | − | 114.719i | −0.621560 | − | 0.538585i | ||||
\(214\) | −200.150 | − | 28.7772i | −0.935280 | − | 0.134473i | ||||
\(215\) | 212.369 | − | 320.831i | 0.987761 | − | 1.49224i | ||||
\(216\) | 66.5722 | + | 42.7834i | 0.308205 | + | 0.198071i | ||||
\(217\) | −23.4314 | − | 162.969i | −0.107979 | − | 0.751009i | ||||
\(218\) | 27.0559 | + | 59.2441i | 0.124110 | + | 0.271762i | ||||
\(219\) | −67.0429 | − | 146.803i | −0.306132 | − | 0.670335i | ||||
\(220\) | −110.482 | + | 124.073i | −0.502191 | + | 0.563969i | ||||
\(221\) | −70.6378 | + | 109.915i | −0.319628 | + | 0.497351i | ||||
\(222\) | 105.003 | − | 30.8316i | 0.472986 | − | 0.138881i | ||||
\(223\) | 151.496 | + | 21.7818i | 0.679353 | + | 0.0976762i | 0.473349 | − | 0.880875i | \(-0.343045\pi\) |
0.206004 | + | 0.978551i | \(0.433954\pi\) | |||||||
\(224\) | 29.3396 | + | 25.4229i | 0.130980 | + | 0.113495i | ||||
\(225\) | −7.10607 | − | 16.7439i | −0.0315825 | − | 0.0744174i | ||||
\(226\) | 43.6316 | − | 37.8070i | 0.193060 | − | 0.167288i | ||||
\(227\) | −131.011 | − | 38.4684i | −0.577142 | − | 0.169464i | −0.0198823 | − | 0.999802i | \(-0.506329\pi\) |
−0.557260 | + | 0.830338i | \(0.688147\pi\) | |||||||
\(228\) | −26.1444 | + | 57.2483i | −0.114668 | + | 0.251089i | ||||
\(229\) | − | 252.367i | − | 1.10204i | −0.834493 | − | 0.551019i | \(-0.814239\pi\) | ||
0.834493 | − | 0.551019i | \(-0.185761\pi\) | |||||||
\(230\) | 154.989 | + | 49.2789i | 0.673865 | + | 0.214256i | ||||
\(231\) | −327.926 | −1.41959 | ||||||||
\(232\) | −116.966 | − | 53.4166i | −0.504164 | − | 0.230244i | ||||
\(233\) | −16.1146 | + | 54.8814i | −0.0691616 | + | 0.235543i | −0.986819 | − | 0.161831i | \(-0.948260\pi\) |
0.917657 | + | 0.397374i | \(0.130078\pi\) | |||||||
\(234\) | 11.1810 | + | 12.9036i | 0.0477821 | + | 0.0551435i | ||||
\(235\) | −62.8729 | − | 19.3882i | −0.267544 | − | 0.0825029i | ||||
\(236\) | −66.8102 | + | 77.1031i | −0.283094 | + | 0.326708i | ||||
\(237\) | −35.5494 | + | 247.251i | −0.149997 | + | 1.04325i | ||||
\(238\) | 21.5299 | + | 73.3242i | 0.0904619 | + | 0.308085i | ||||
\(239\) | 380.129 | + | 244.294i | 1.59050 | + | 1.02215i | 0.971586 | + | 0.236688i | \(0.0760621\pi\) |
0.618911 | + | 0.785461i | \(0.287574\pi\) | |||||||
\(240\) | −38.2543 | + | 42.9602i | −0.159393 | + | 0.179001i | ||||
\(241\) | −119.045 | + | 54.3662i | −0.493964 | + | 0.225586i | −0.646791 | − | 0.762667i | \(-0.723890\pi\) |
0.152827 | + | 0.988253i | \(0.451162\pi\) | |||||||
\(242\) | 199.400 | − | 91.0627i | 0.823965 | − | 0.376292i | ||||
\(243\) | 38.7912 | − | 5.57734i | 0.159635 | − | 0.0229520i | ||||
\(244\) | 123.663 | − | 192.423i | 0.506814 | − | 0.788619i | ||||
\(245\) | −5.24923 | + | 7.93015i | −0.0214254 | + | 0.0323680i | ||||
\(246\) | −40.5527 | + | 282.050i | −0.164848 | + | 1.14655i | ||||
\(247\) | −118.888 | + | 137.204i | −0.481328 | + | 0.555482i | ||||
\(248\) | 36.6860 | + | 57.0846i | 0.147928 | + | 0.230180i | ||||
\(249\) | −18.0604 | + | 15.6494i | −0.0725317 | + | 0.0628491i | ||||
\(250\) | 171.496 | − | 42.8853i | 0.685984 | − | 0.171541i | ||||
\(251\) | −215.634 | − | 98.4770i | −0.859101 | − | 0.392338i | −0.0633714 | − | 0.997990i | \(-0.520185\pi\) |
−0.795730 | + | 0.605652i | \(0.792913\pi\) | |||||||
\(252\) | 9.98642 | 0.0396287 | ||||||||
\(253\) | −286.584 | − | 252.737i | −1.13274 | − | 0.998961i | ||||
\(254\) | −213.135 | −0.839115 | ||||||||
\(255\) | −109.068 | + | 30.4299i | −0.427719 | + | 0.119333i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −45.8450 | + | 39.7249i | −0.178385 | + | 0.154572i | −0.739477 | − | 0.673182i | \(-0.764927\pi\) |
0.561092 | + | 0.827754i | \(0.310382\pi\) | |||||||
\(258\) | −263.310 | + | 169.219i | −1.02058 | + | 0.655888i | ||||
\(259\) | 120.914 | − | 139.543i | 0.466851 | − | 0.538775i | ||||
\(260\) | −140.794 | + | 87.8160i | −0.541514 | + | 0.337754i | ||||
\(261\) | −31.7372 | + | 9.31890i | −0.121599 | + | 0.0357046i | ||||
\(262\) | 24.6184 | − | 38.3069i | 0.0939632 | − | 0.146210i | ||||
\(263\) | 54.5595 | + | 379.470i | 0.207451 | + | 1.44285i | 0.781436 | + | 0.623986i | \(0.214488\pi\) |
−0.573985 | + | 0.818866i | \(0.694603\pi\) | |||||||
\(264\) | 122.938 | − | 56.1437i | 0.465673 | − | 0.212666i | ||||
\(265\) | −334.824 | − | 158.414i | −1.26349 | − | 0.597789i | ||||
\(266\) | 15.1118 | + | 105.105i | 0.0568113 | + | 0.395131i | ||||
\(267\) | −220.156 | − | 141.486i | −0.824554 | − | 0.529908i | ||||
\(268\) | −57.6632 | + | 16.9314i | −0.215161 | + | 0.0631770i | ||||
\(269\) | 23.5686 | − | 163.923i | 0.0876157 | − | 0.609380i | −0.897951 | − | 0.440095i | \(-0.854945\pi\) |
0.985567 | − | 0.169286i | \(-0.0541461\pi\) | |||||||
\(270\) | −2.67458 | + | 197.818i | −0.00990586 | + | 0.732660i | ||||
\(271\) | −125.702 | + | 80.7841i | −0.463847 | + | 0.298096i | −0.751613 | − | 0.659605i | \(-0.770724\pi\) |
0.287766 | + | 0.957701i | \(0.407087\pi\) | |||||||
\(272\) | −20.6252 | − | 23.8028i | −0.0758280 | − | 0.0875102i | ||||
\(273\) | −314.266 | − | 92.2770i | −1.15116 | − | 0.338011i | ||||
\(274\) | −152.801 | − | 69.7818i | −0.557667 | − | 0.254678i | ||||
\(275\) | −409.359 | − | 70.2013i | −1.48858 | − | 0.255277i | ||||
\(276\) | −99.2293 | − | 87.5100i | −0.359526 | − | 0.317065i | ||||
\(277\) | 190.670i | 0.688339i | 0.938908 | + | 0.344169i | \(0.111839\pi\) | ||||
−0.938908 | + | 0.344169i | \(0.888161\pi\) | |||||||
\(278\) | 87.4807 | + | 39.9511i | 0.314679 | + | 0.143709i | ||||
\(279\) | 16.7482 | + | 4.91771i | 0.0600293 | + | 0.0176262i | ||||
\(280\) | −15.1098 | + | 95.8712i | −0.0539635 | + | 0.342397i | ||||
\(281\) | 207.713 | + | 323.208i | 0.739194 | + | 1.15021i | 0.983570 | + | 0.180527i | \(0.0577804\pi\) |
−0.244376 | + | 0.969680i | \(0.578583\pi\) | |||||||
\(282\) | 40.4509 | + | 35.0509i | 0.143443 | + | 0.124294i | ||||
\(283\) | −8.71697 | + | 60.6279i | −0.0308020 | + | 0.214233i | −0.999409 | − | 0.0343627i | \(-0.989060\pi\) |
0.968607 | + | 0.248595i | \(0.0799690\pi\) | |||||||
\(284\) | 116.880 | − | 34.3190i | 0.411549 | − | 0.120842i | ||||
\(285\) | −156.026 | + | 20.2842i | −0.547460 | + | 0.0711726i | ||||
\(286\) | 385.894 | − | 55.4832i | 1.34928 | − | 0.193997i | ||||
\(287\) | 199.720 | + | 437.326i | 0.695888 | + | 1.52378i | ||||
\(288\) | −3.74386 | + | 1.70976i | −0.0129995 | + | 0.00593668i | ||||
\(289\) | 32.3057 | + | 224.691i | 0.111785 | + | 0.777478i | ||||
\(290\) | −41.4434 | − | 318.782i | −0.142908 | − | 1.09925i | ||||
\(291\) | 111.655 | + | 380.263i | 0.383696 | + | 1.30675i | ||||
\(292\) | 111.081 | + | 15.9711i | 0.380415 | + | 0.0546955i | ||||
\(293\) | −0.889714 | + | 1.02678i | −0.00303657 | + | 0.00350438i | −0.757266 | − | 0.653107i | \(-0.773465\pi\) |
0.754229 | + | 0.656611i | \(0.228011\pi\) | |||||||
\(294\) | 6.50838 | − | 4.18268i | 0.0221373 | − | 0.0142268i | ||||
\(295\) | −251.945 | − | 39.7078i | −0.854052 | − | 0.134603i | ||||
\(296\) | −21.4393 | + | 73.0154i | −0.0724300 | + | 0.246674i | ||||
\(297\) | 193.091 | − | 422.809i | 0.650137 | − | 1.42360i | ||||
\(298\) | 58.3470 | 0.195795 | ||||||||
\(299\) | −203.527 | − | 322.853i | −0.680693 | − | 1.07978i | ||||
\(300\) | −141.740 | − | 24.3071i | −0.472467 | − | 0.0810237i | ||||
\(301\) | −219.378 | + | 480.370i | −0.728830 | + | 1.59592i | ||||
\(302\) | −34.2146 | + | 116.524i | −0.113293 | + | 0.385842i | ||||
\(303\) | 312.590 | − | 270.861i | 1.03165 | − | 0.893931i | ||||
\(304\) | −23.6602 | − | 36.8160i | −0.0778297 | − | 0.121105i | ||||
\(305\) | 571.782 | + | 7.73071i | 1.87469 | + | 0.0253466i | ||||
\(306\) | −8.01937 | − | 1.15301i | −0.0262071 | − | 0.00376801i | ||||
\(307\) | −8.37712 | − | 28.5299i | −0.0272870 | − | 0.0929311i | 0.944724 | − | 0.327868i | \(-0.106330\pi\) |
−0.972011 | + | 0.234936i | \(0.924512\pi\) | |||||||
\(308\) | 123.281 | − | 191.830i | 0.400265 | − | 0.622824i | ||||
\(309\) | −52.6729 | + | 7.57323i | −0.170463 | + | 0.0245088i | ||||
\(310\) | −72.5513 | + | 153.344i | −0.234036 | + | 0.494659i | ||||
\(311\) | −211.026 | − | 462.082i | −0.678539 | − | 1.48579i | −0.864183 | − | 0.503177i | \(-0.832164\pi\) |
0.185644 | − | 0.982617i | \(-0.440563\pi\) | |||||||
\(312\) | 133.616 | − | 19.2110i | 0.428255 | − | 0.0615738i | ||||
\(313\) | −88.6784 | − | 56.9902i | −0.283318 | − | 0.182077i | 0.391262 | − | 0.920279i | \(-0.372039\pi\) |
−0.674579 | + | 0.738202i | \(0.735675\pi\) | |||||||
\(314\) | 12.7283 | + | 43.3487i | 0.0405361 | + | 0.138053i | ||||
\(315\) | 13.2125 | + | 21.1833i | 0.0419444 | + | 0.0672487i | ||||
\(316\) | −131.272 | − | 113.748i | −0.415419 | − | 0.359962i | ||||
\(317\) | −179.850 | − | 279.852i | −0.567349 | − | 0.882812i | 0.432474 | − | 0.901647i | \(-0.357641\pi\) |
−0.999823 | + | 0.0188343i | \(0.994005\pi\) | |||||||
\(318\) | 197.329 | + | 227.730i | 0.620531 | + | 0.716131i | ||||
\(319\) | −212.786 | + | 724.683i | −0.667042 | + | 2.27173i | ||||
\(320\) | −10.7494 | − | 38.5286i | −0.0335919 | − | 0.120402i | ||||
\(321\) | 411.244i | 1.28113i | ||||||||
\(322\) | −220.668 | − | 33.6948i | −0.685304 | − | 0.104642i | ||||
\(323\) | − | 86.1469i | − | 0.266709i | ||||||
\(324\) | 61.4170 | − | 134.484i | 0.189559 | − | 0.415075i | ||||
\(325\) | −372.553 | − | 182.469i | −1.14632 | − | 0.561443i | ||||
\(326\) | 38.4724 | + | 44.3996i | 0.118014 | + | 0.136195i | ||||
\(327\) | 111.431 | − | 71.6126i | 0.340769 | − | 0.218999i | ||||
\(328\) | −149.748 | − | 129.757i | −0.456549 | − | 0.395602i | ||||
\(329\) | 89.3876 | + | 12.8520i | 0.271695 | + | 0.0390638i | ||||
\(330\) | 281.745 | + | 186.496i | 0.853773 | + | 0.565140i | ||||
\(331\) | −348.145 | − | 223.739i | −1.05180 | − | 0.675949i | −0.103920 | − | 0.994586i | \(-0.533139\pi\) |
−0.947877 | + | 0.318637i | \(0.896775\pi\) | |||||||
\(332\) | −2.36490 | − | 16.4482i | −0.00712320 | − | 0.0495429i | ||||
\(333\) | 8.13184 | + | 17.8062i | 0.0244199 | + | 0.0534722i | ||||
\(334\) | 16.5033 | + | 36.1371i | 0.0494110 | + | 0.108195i | ||||
\(335\) | −112.206 | − | 99.9149i | −0.334944 | − | 0.298253i | ||||
\(336\) | 42.6861 | − | 66.4208i | 0.127042 | − | 0.197681i | ||||
\(337\) | −204.127 | + | 59.9371i | −0.605718 | + | 0.177855i | −0.570189 | − | 0.821514i | \(-0.693130\pi\) |
−0.0355293 | + | 0.999369i | \(0.511312\pi\) | |||||||
\(338\) | 148.864 | + | 21.4034i | 0.440426 | + | 0.0633237i | ||||
\(339\) | −88.7365 | − | 76.8906i | −0.261760 | − | 0.226816i | ||||
\(340\) | 23.2027 | − | 75.2427i | 0.0682431 | − | 0.221302i | ||||
\(341\) | 301.219 | − | 261.008i | 0.883341 | − | 0.765419i | ||||
\(342\) | −10.8015 | − | 3.17162i | −0.0315835 | − | 0.00927374i | ||||
\(343\) | 145.117 | − | 317.762i | 0.423082 | − | 0.926420i | ||||
\(344\) | − | 217.648i | − | 0.632697i | ||||||
\(345\) | 54.3425 | − | 326.266i | 0.157514 | − | 0.945699i | ||||
\(346\) | 268.966 | 0.777359 | ||||||||
\(347\) | −56.6059 | − | 25.8510i | −0.163129 | − | 0.0744987i | 0.332177 | − | 0.943217i | \(-0.392217\pi\) |
−0.495306 | + | 0.868718i | \(0.664944\pi\) | |||||||
\(348\) | −73.6770 | + | 250.921i | −0.211716 | + | 0.721037i | ||||
\(349\) | −165.652 | − | 191.173i | −0.474648 | − | 0.547773i | 0.467051 | − | 0.884231i | \(-0.345317\pi\) |
−0.941699 | + | 0.336458i | \(0.890771\pi\) | |||||||
\(350\) | −223.354 | + | 94.7909i | −0.638155 | + | 0.270831i | ||||
\(351\) | 304.025 | − | 350.863i | 0.866167 | − | 0.999610i | ||||
\(352\) | −13.3747 | + | 93.0229i | −0.0379962 | + | 0.264269i | ||||
\(353\) | −45.6408 | − | 155.438i | −0.129294 | − | 0.440335i | 0.869244 | − | 0.494383i | \(-0.164606\pi\) |
−0.998538 | + | 0.0540479i | \(0.982788\pi\) | |||||||
\(354\) | 174.551 | + | 112.177i | 0.493082 | + | 0.316884i | ||||
\(355\) | 227.436 | + | 202.522i | 0.640664 | + | 0.570484i | ||||
\(356\) | 165.532 | − | 75.5960i | 0.464978 | − | 0.212348i | ||||
\(357\) | 141.375 | − | 64.5638i | 0.396009 | − | 0.180851i | ||||
\(358\) | −37.9422 | + | 5.45527i | −0.105984 | + | 0.0152382i | ||||
\(359\) | −200.974 | + | 312.722i | −0.559817 | + | 0.871092i | −0.999636 | − | 0.0269943i | \(-0.991406\pi\) |
0.439818 | + | 0.898087i | \(0.355043\pi\) | |||||||
\(360\) | −8.58007 | − | 5.67943i | −0.0238335 | − | 0.0157762i | ||||
\(361\) | −34.3403 | + | 238.842i | −0.0951255 | + | 0.661613i | ||||
\(362\) | 234.343 | − | 270.446i | 0.647356 | − | 0.747089i | ||||
\(363\) | −241.029 | − | 375.048i | −0.663991 | − | 1.03319i | ||||
\(364\) | 172.127 | − | 149.148i | 0.472875 | − | 0.409749i | ||||
\(365\) | 113.088 | + | 256.758i | 0.309829 | + | 0.703446i | ||||
\(366\) | −423.153 | − | 193.247i | −1.15615 | − | 0.527998i | ||||
\(367\) | −27.8878 | −0.0759886 | −0.0379943 | − | 0.999278i | \(-0.512097\pi\) | ||||
−0.0379943 | + | 0.999278i | \(0.512097\pi\) | |||||||
\(368\) | 88.4961 | − | 25.1483i | 0.240479 | − | 0.0683377i | ||||
\(369\) | −50.9703 | −0.138131 | ||||||||
\(370\) | −183.247 | + | 51.1255i | −0.495261 | + | 0.138177i | ||||
\(371\) | 487.813 | + | 143.235i | 1.31486 | + | 0.386078i | ||||
\(372\) | 104.297 | − | 90.3737i | 0.280368 | − | 0.242940i | ||||
\(373\) | −136.837 | + | 87.9399i | −0.366856 | + | 0.235764i | −0.711061 | − | 0.703131i | \(-0.751785\pi\) |
0.344205 | + | 0.938895i | \(0.388148\pi\) | |||||||
\(374\) | −121.147 | + | 139.811i | −0.323921 | + | 0.373825i | ||||
\(375\) | −135.968 | − | 332.820i | −0.362581 | − | 0.887521i | ||||
\(376\) | −35.7113 | + | 10.4858i | −0.0949769 | + | 0.0278877i | ||||
\(377\) | −407.846 | + | 634.621i | −1.08182 | + | 1.68334i | ||||
\(378\) | −38.6445 | − | 268.778i | −0.102234 | − | 0.711053i | ||||
\(379\) | 314.600 | − | 143.673i | 0.830078 | − | 0.379084i | 0.0453860 | − | 0.998970i | \(-0.485548\pi\) |
0.784692 | + | 0.619885i | \(0.212821\pi\) | |||||||
\(380\) | 46.7911 | − | 98.8977i | 0.123135 | − | 0.260257i | ||||
\(381\) | 61.6889 | + | 429.055i | 0.161913 | + | 1.12613i | ||||
\(382\) | 277.357 | + | 178.247i | 0.726066 | + | 0.466614i | ||||
\(383\) | −9.17927 | + | 2.69528i | −0.0239667 | + | 0.00703727i | −0.293694 | − | 0.955900i | \(-0.594885\pi\) |
0.269727 | + | 0.962937i | \(0.413066\pi\) | |||||||
\(384\) | −4.63097 | + | 32.2091i | −0.0120598 | + | 0.0838778i | ||||
\(385\) | 570.019 | + | 7.70688i | 1.48057 | + | 0.0200179i | ||||
\(386\) | −201.325 | + | 129.384i | −0.521568 | + | 0.335192i | ||||
\(387\) | −36.6638 | − | 42.3122i | −0.0947384 | − | 0.109334i | ||||
\(388\) | −264.422 | − | 77.6414i | −0.681501 | − | 0.200107i | ||||
\(389\) | −385.561 | − | 176.080i | −0.991160 | − | 0.452647i | −0.147231 | − | 0.989102i | \(-0.547036\pi\) |
−0.843929 | + | 0.536455i | \(0.819763\pi\) | |||||||
\(390\) | 217.530 | + | 258.010i | 0.557770 | + | 0.661564i | ||||
\(391\) | 173.312 | + | 52.5357i | 0.443253 | + | 0.134362i | ||||
\(392\) | 5.37972i | 0.0137238i | ||||||||
\(393\) | −84.2398 | − | 38.4710i | −0.214351 | − | 0.0978907i | ||||
\(394\) | 449.707 | + | 132.046i | 1.14139 | + | 0.335142i | ||||
\(395\) | 67.6048 | − | 428.951i | 0.171151 | − | 1.08595i | ||||
\(396\) | 13.0700 | + | 20.3373i | 0.0330050 | + | 0.0513568i | ||||
\(397\) | 422.391 | + | 366.004i | 1.06396 | + | 0.921923i | 0.997120 | − | 0.0758407i | \(-0.0241640\pi\) |
0.0668363 | + | 0.997764i | \(0.478709\pi\) | |||||||
\(398\) | 20.7306 | − | 144.185i | 0.0520869 | − | 0.362273i | ||||
\(399\) | 207.209 | − | 60.8422i | 0.519322 | − | 0.152487i | ||||
\(400\) | 67.5054 | − | 73.7769i | 0.168763 | − | 0.184442i | ||||
\(401\) | −76.6528 | + | 11.0210i | −0.191154 | + | 0.0274838i | −0.237227 | − | 0.971454i | \(-0.576238\pi\) |
0.0460728 | + | 0.998938i | \(0.485329\pi\) | |||||||
\(402\) | 50.7739 | + | 111.179i | 0.126303 | + | 0.276565i | ||||
\(403\) | 362.119 | − | 165.374i | 0.898558 | − | 0.410358i | ||||
\(404\) | 40.9318 | + | 284.687i | 0.101316 | + | 0.704671i | ||||
\(405\) | 366.528 | − | 47.6505i | 0.905007 | − | 0.117656i | ||||
\(406\) | 124.309 | + | 423.357i | 0.306179 | + | 1.04275i | ||||
\(407\) | 442.428 | + | 63.6115i | 1.08705 | + | 0.156294i | ||||
\(408\) | −41.9469 | + | 48.4093i | −0.102811 | + | 0.118650i | ||||
\(409\) | 551.434 | − | 354.385i | 1.34825 | − | 0.866467i | 0.350703 | − | 0.936487i | \(-0.385943\pi\) |
0.997546 | + | 0.0700196i | \(0.0223062\pi\) | |||||||
\(410\) | 77.1197 | − | 489.323i | 0.188097 | − | 1.19347i | ||||
\(411\) | −96.2494 | + | 327.795i | −0.234184 | + | 0.797556i | ||||
\(412\) | 15.3719 | − | 33.6597i | 0.0373103 | − | 0.0816983i | ||||
\(413\) | 350.078 | 0.847647 | ||||||||
\(414\) | 12.9679 | − | 19.7966i | 0.0313235 | − | 0.0478178i | ||||
\(415\) | 31.7614 | − | 26.7782i | 0.0765335 | − | 0.0645259i | ||||
\(416\) | −38.9938 | + | 85.3846i | −0.0937352 | + | 0.205251i | ||||
\(417\) | 55.1042 | − | 187.668i | 0.132144 | − | 0.450043i | ||||
\(418\) | −194.268 | + | 168.334i | −0.464756 | + | 0.402713i | ||||
\(419\) | 189.258 | + | 294.491i | 0.451689 | + | 0.702842i | 0.990181 | − | 0.139789i | \(-0.0446423\pi\) |
−0.538492 | + | 0.842630i | \(0.681006\pi\) | |||||||
\(420\) | 197.369 | + | 2.66850i | 0.469925 | + | 0.00635357i | ||||
\(421\) | −469.308 | − | 67.4763i | −1.11475 | − | 0.160276i | −0.439766 | − | 0.898112i | \(-0.644939\pi\) |
−0.674980 | + | 0.737836i | \(0.735848\pi\) | |||||||
\(422\) | −73.5282 | − | 250.414i | −0.174238 | − | 0.593399i | ||||
\(423\) | −5.17615 | + | 8.05424i | −0.0122368 | + | 0.0190408i | ||||
\(424\) | −207.402 | + | 29.8199i | −0.489155 | + | 0.0703299i | ||||
\(425\) | 190.304 | − | 50.3317i | 0.447774 | − | 0.118427i | ||||
\(426\) | −102.916 | − | 225.354i | −0.241586 | − | 0.529000i | ||||
\(427\) | −776.887 | + | 111.700i | −1.81941 | + | 0.261591i | ||||
\(428\) | −240.569 | − | 154.605i | −0.562078 | − | 0.361226i | ||||
\(429\) | −223.383 | − | 760.772i | −0.520706 | − | 1.77336i | ||||
\(430\) | 461.678 | − | 287.958i | 1.07367 | − | 0.669670i | ||||
\(431\) | 610.138 | + | 528.687i | 1.41563 | + | 1.22665i | 0.937323 | + | 0.348461i | \(0.113296\pi\) |
0.478310 | + | 0.878191i | \(0.341250\pi\) | |||||||
\(432\) | 60.5048 | + | 94.1473i | 0.140057 | + | 0.217934i | ||||
\(433\) | 298.225 | + | 344.170i | 0.688741 | + | 0.794850i | 0.987185 | − | 0.159577i | \(-0.0510132\pi\) |
−0.298444 | + | 0.954427i | \(0.596468\pi\) | |||||||
\(434\) | 65.5994 | − | 223.411i | 0.151151 | − | 0.514772i | ||||
\(435\) | −629.735 | + | 175.695i | −1.44767 | + | 0.403897i | ||||
\(436\) | 92.1074i | 0.211255i | ||||||||
\(437\) | 227.978 | + | 106.528i | 0.521689 | + | 0.243770i | ||||
\(438\) | − | 228.237i | − | 0.521088i | ||||||
\(439\) | 161.042 | − | 352.633i | 0.366838 | − | 0.803264i | −0.632744 | − | 0.774361i | \(-0.718071\pi\) |
0.999582 | − | 0.0289027i | \(-0.00920129\pi\) | |||||||
\(440\) | −215.017 | + | 94.7030i | −0.488674 | + | 0.215234i | ||||
\(441\) | 0.906237 | + | 1.04585i | 0.00205496 | + | 0.00237155i | ||||
\(442\) | −155.443 | + | 99.8969i | −0.351680 | + | 0.226011i | ||||
\(443\) | −108.622 | − | 94.1219i | −0.245198 | − | 0.212465i | 0.523588 | − | 0.851972i | \(-0.324593\pi\) |
−0.768785 | + | 0.639507i | \(0.779139\pi\) | |||||||
\(444\) | 153.190 | + | 22.0254i | 0.345023 | + | 0.0496068i | ||||
\(445\) | 379.362 | + | 251.112i | 0.852499 | + | 0.564297i | ||||
\(446\) | 182.090 | + | 117.022i | 0.408273 | + | 0.262381i | ||||
\(447\) | −16.8877 | − | 117.456i | −0.0377800 | − | 0.262766i | ||||
\(448\) | 22.8073 | + | 49.9410i | 0.0509091 | + | 0.111475i | ||||
\(449\) | 169.665 | + | 371.514i | 0.377873 | + | 0.827426i | 0.999043 | + | 0.0437499i | \(0.0139305\pi\) |
−0.621170 | + | 0.783676i | \(0.713342\pi\) | |||||||
\(450\) | 0.695463 | − | 25.7143i | 0.00154547 | − | 0.0571429i | ||||
\(451\) | −629.223 | + | 979.091i | −1.39517 | + | 2.17093i | ||||
\(452\) | 78.3393 | − | 23.0025i | 0.173317 | − | 0.0508905i | ||||
\(453\) | 244.474 | + | 35.1501i | 0.539678 | + | 0.0775939i | ||||
\(454\) | −145.935 | − | 126.454i | −0.321443 | − | 0.278532i | ||||
\(455\) | 544.107 | + | 167.787i | 1.19584 | + | 0.368762i | ||||
\(456\) | −67.2651 | + | 58.2855i | −0.147511 | + | 0.127819i | ||||
\(457\) | −330.188 | − | 96.9520i | −0.722513 | − | 0.212149i | −0.100255 | − | 0.994962i | \(-0.531966\pi\) |
−0.622257 | + | 0.782813i | \(0.713784\pi\) | |||||||
\(458\) | 148.262 | − | 324.648i | 0.323716 | − | 0.708838i | ||||
\(459\) | 220.298i | 0.479952i | ||||||||
\(460\) | 170.429 | + | 154.447i | 0.370499 | + | 0.335754i | ||||
\(461\) | 307.244 | 0.666473 | 0.333237 | − | 0.942843i | \(-0.391859\pi\) | ||||
0.333237 | + | 0.942843i | \(0.391859\pi\) | |||||||
\(462\) | −421.848 | − | 192.652i | −0.913091 | − | 0.416995i | ||||
\(463\) | 254.619 | − | 867.153i | 0.549933 | − | 1.87290i | 0.0659504 | − | 0.997823i | \(-0.478992\pi\) |
0.483983 | − | 0.875077i | \(-0.339190\pi\) | |||||||
\(464\) | −119.085 | − | 137.432i | −0.256649 | − | 0.296189i | ||||
\(465\) | 329.692 | + | 101.667i | 0.709014 | + | 0.218639i | ||||
\(466\) | −52.9722 | + | 61.1331i | −0.113674 | + | 0.131187i | ||||
\(467\) | 65.3197 | − | 454.309i | 0.139871 | − | 0.972824i | −0.792126 | − | 0.610358i | \(-0.791026\pi\) |
0.931997 | − | 0.362466i | \(-0.118065\pi\) | |||||||
\(468\) | 6.80275 | + | 23.1680i | 0.0145358 | + | 0.0495044i | ||||
\(469\) | 173.482 | + | 111.490i | 0.369898 | + | 0.237719i | ||||
\(470\) | −69.4903 | − | 61.8782i | −0.147852 | − | 0.131656i | ||||
\(471\) | 83.5798 | − | 38.1696i | 0.177452 | − | 0.0810396i | ||||
\(472\) | −131.243 | + | 59.9365i | −0.278056 | + | 0.126984i | ||||
\(473\) | −1265.39 | + | 181.935i | −2.67524 | + | 0.384642i | ||||
\(474\) | −190.988 | + | 297.183i | −0.402928 | + | 0.626968i | ||||
\(475\) | 271.690 | − | 31.5922i | 0.571979 | − | 0.0665100i | ||||
\(476\) | −15.3805 | + | 106.974i | −0.0323120 | + | 0.224735i | ||||
\(477\) | −35.2970 | + | 40.7349i | −0.0739980 | + | 0.0853982i | ||||
\(478\) | 345.484 | + | 537.583i | 0.722769 | + | 1.12465i | ||||
\(479\) | −501.641 | + | 434.674i | −1.04727 | + | 0.907462i | −0.995831 | − | 0.0912148i | \(-0.970925\pi\) |
−0.0514352 | + | 0.998676i | \(0.516380\pi\) | |||||||
\(480\) | −74.4493 | + | 32.7908i | −0.155103 | + | 0.0683142i | ||||
\(481\) | 406.099 | + | 185.459i | 0.844281 | + | 0.385570i | ||||
\(482\) | −185.081 | −0.383985 | ||||||||
\(483\) | −3.96074 | + | 453.972i | −0.00820030 | + | 0.939900i | ||||
\(484\) | 310.008 | 0.640513 | ||||||||
\(485\) | −185.149 | − | 663.620i | −0.381750 | − | 1.36829i | ||||
\(486\) | 53.1782 | + | 15.6145i | 0.109420 | + | 0.0321286i | ||||
\(487\) | 289.510 | − | 250.861i | 0.594475 | − | 0.515116i | −0.304847 | − | 0.952401i | \(-0.598605\pi\) |
0.899323 | + | 0.437285i | \(0.144060\pi\) | |||||||
\(488\) | 272.127 | − | 174.885i | 0.557638 | − | 0.358372i | ||||
\(489\) | 78.2440 | − | 90.2984i | 0.160008 | − | 0.184659i | ||||
\(490\) | −11.4115 | + | 7.11761i | −0.0232888 | + | 0.0145257i | ||||
\(491\) | −533.343 | + | 156.604i | −1.08624 | + | 0.318948i | −0.775371 | − | 0.631506i | \(-0.782437\pi\) |
−0.310866 | + | 0.950454i | \(0.600619\pi\) | |||||||
\(492\) | −217.868 | + | 339.009i | −0.442821 | + | 0.689043i | ||||
\(493\) | −50.9435 | − | 354.320i | −0.103334 | − | 0.718701i | ||||
\(494\) | −233.545 | + | 106.656i | −0.472762 | + | 0.215903i | ||||
\(495\) | −25.8476 | + | 54.6314i | −0.0522173 | + | 0.110367i | ||||
\(496\) | 13.6571 | + | 94.9869i | 0.0275344 | + | 0.191506i | ||||
\(497\) | −351.638 | − | 225.984i | −0.707522 | − | 0.454697i | ||||
\(498\) | −32.4269 | + | 9.52141i | −0.0651143 | + | 0.0191193i | ||||
\(499\) | 122.764 | − | 853.840i | 0.246019 | − | 1.71110i | −0.374764 | − | 0.927120i | \(-0.622276\pi\) |
0.620783 | − | 0.783982i | \(-0.286815\pi\) | |||||||
\(500\) | 245.809 | + | 45.5832i | 0.491618 | + | 0.0911663i | ||||
\(501\) | 67.9698 | − | 43.6815i | 0.135668 | − | 0.0871887i | ||||
\(502\) | −219.541 | − | 253.364i | −0.437333 | − | 0.504710i | ||||
\(503\) | 732.928 | + | 215.207i | 1.45711 | + | 0.427847i | 0.911887 | − | 0.410442i | \(-0.134626\pi\) |
0.545226 | + | 0.838289i | \(0.316444\pi\) | |||||||
\(504\) | 12.8467 | + | 5.86688i | 0.0254894 | + | 0.0116406i | ||||
\(505\) | −549.728 | + | 463.479i | −1.08857 | + | 0.917781i | ||||
\(506\) | −220.186 | − | 493.488i | −0.435150 | − | 0.975273i | ||||
\(507\) | − | 305.868i | − | 0.603290i | ||||||
\(508\) | −274.180 | − | 125.214i | −0.539724 | − | 0.246484i | ||||
\(509\) | 47.9295 | + | 14.0734i | 0.0941640 | + | 0.0276490i | 0.328475 | − | 0.944513i | \(-0.393465\pi\) |
−0.234311 | + | 0.972162i | \(0.575283\pi\) | |||||||
\(510\) | −158.184 | − | 24.9306i | −0.310165 | − | 0.0488836i | ||||
\(511\) | −208.192 | − | 323.953i | −0.407421 | − | 0.633959i | ||||
\(512\) | −17.1007 | − | 14.8178i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | −43.5634 | + | 302.990i | −0.0849189 | + | 0.590624i | ||||
\(514\) | −82.3135 | + | 24.1694i | −0.160143 | + | 0.0470222i | ||||
\(515\) | 91.7371 | − | 11.9263i | 0.178130 | − | 0.0231579i | ||||
\(516\) | −438.140 | + | 62.9950i | −0.849108 | + | 0.122083i | ||||
\(517\) | 90.8153 | + | 198.858i | 0.175658 | + | 0.384638i | ||||
\(518\) | 237.525 | − | 108.474i | 0.458543 | − | 0.209410i | ||||
\(519\) | −77.8483 | − | 541.447i | −0.149997 | − | 1.04325i | ||||
\(520\) | −232.710 | + | 30.2535i | −0.447518 | + | 0.0581797i | ||||
\(521\) | 25.9215 | + | 88.2805i | 0.0497533 | + | 0.169444i | 0.980622 | − | 0.195910i | \(-0.0627660\pi\) |
−0.930869 | + | 0.365354i | \(0.880948\pi\) | |||||||
\(522\) | −46.3020 | − | 6.65722i | −0.0887011 | − | 0.0127533i | ||||
\(523\) | 432.240 | − | 498.832i | 0.826463 | − | 0.953789i | −0.173053 | − | 0.984913i | \(-0.555363\pi\) |
0.999516 | + | 0.0311236i | \(0.00990855\pi\) | |||||||
\(524\) | 54.1742 | − | 34.8156i | 0.103386 | − | 0.0664420i | ||||
\(525\) | 255.467 | + | 422.191i | 0.486604 | + | 0.804174i | ||||
\(526\) | −152.747 | + | 520.208i | −0.290393 | + | 0.988989i | ||||
\(527\) | −78.4727 | + | 171.831i | −0.148905 | + | 0.326056i | ||||
\(528\) | 191.132 | 0.361993 | ||||||||
\(529\) | −353.344 | + | 393.686i | −0.667947 | + | 0.744209i | ||||
\(530\) | −337.656 | − | 400.490i | −0.637087 | − | 0.755642i | ||||
\(531\) | −15.4179 | + | 33.7605i | −0.0290356 | + | 0.0635790i | ||||
\(532\) | −42.3076 | + | 144.086i | −0.0795256 | + | 0.270839i | ||||
\(533\) | −878.526 | + | 761.247i | −1.64827 | + | 1.42823i | ||||
\(534\) | −200.091 | − | 311.347i | −0.374702 | − | 0.583047i | ||||
\(535\) | 9.66503 | − | 714.848i | 0.0180655 | − | 1.33616i | ||||
\(536\) | −84.1257 | − | 12.0954i | −0.156951 | − | 0.0225661i | ||||
\(537\) | 21.9637 | + | 74.8013i | 0.0409007 | + | 0.139295i | ||||
\(538\) | 126.622 | − | 197.027i | 0.235356 | − | 0.366221i | ||||
\(539\) | 31.2773 | − | 4.49699i | 0.0580284 | − | 0.00834322i | ||||
\(540\) | −119.656 | + | 252.905i | −0.221585 | + | 0.468342i | ||||
\(541\) | −356.865 | − | 781.426i | −0.659640 | − | 1.44441i | −0.882857 | − | 0.469642i | \(-0.844383\pi\) |
0.223217 | − | 0.974769i | \(-0.428344\pi\) | |||||||
\(542\) | −209.165 | + | 30.0734i | −0.385913 | + | 0.0554859i | ||||
\(543\) | −612.253 | − | 393.471i | −1.12754 | − | 0.724625i | ||||
\(544\) | −12.5488 | − | 42.7372i | −0.0230676 | − | 0.0785611i | ||||
\(545\) | −195.379 | + | 121.862i | −0.358494 | + | 0.223601i | ||||
\(546\) | −350.065 | − | 303.333i | −0.641145 | − | 0.555556i | ||||
\(547\) | −101.141 | − | 157.378i | −0.184900 | − | 0.287711i | 0.736412 | − | 0.676533i | \(-0.236518\pi\) |
−0.921313 | + | 0.388822i | \(0.872882\pi\) | |||||||
\(548\) | −155.569 | − | 179.536i | −0.283885 | − | 0.327621i | ||||
\(549\) | 23.4431 | − | 79.8400i | 0.0427015 | − | 0.145428i | ||||
\(550\) | −485.362 | − | 330.800i | −0.882477 | − | 0.601455i | ||||
\(551\) | − | 497.392i | − | 0.902708i | ||||||
\(552\) | −76.2391 | − | 170.870i | −0.138114 | − | 0.309547i | ||||
\(553\) | 596.028i | 1.07781i | ||||||||
\(554\) | −112.016 | + | 245.280i | −0.202195 | + | 0.442744i | ||||
\(555\) | 155.957 | + | 354.090i | 0.281004 | + | 0.638000i | ||||
\(556\) | 89.0657 | + | 102.787i | 0.160190 | + | 0.184869i | ||||
\(557\) | 318.074 | − | 204.414i | 0.571049 | − | 0.366991i | −0.223025 | − | 0.974813i | \(-0.571593\pi\) |
0.794073 | + | 0.607822i | \(0.207957\pi\) | |||||||
\(558\) | 18.6560 | + | 16.1655i | 0.0334337 | + | 0.0289705i | ||||
\(559\) | −1263.88 | − | 181.718i | −2.26096 | − | 0.325077i | ||||
\(560\) | −75.7604 | + | 114.453i | −0.135286 | + | 0.204381i | ||||
\(561\) | 316.512 | + | 203.410i | 0.564193 | + | 0.362585i | ||||
\(562\) | 77.3252 | + | 537.808i | 0.137589 | + | 0.956954i | ||||
\(563\) | 166.121 | + | 363.754i | 0.295063 | + | 0.646099i | 0.997867 | − | 0.0652855i | \(-0.0207958\pi\) |
−0.702803 | + | 0.711384i | \(0.748069\pi\) | |||||||
\(564\) | 31.4447 | + | 68.8543i | 0.0557530 | + | 0.122082i | ||||
\(565\) | 152.440 | + | 135.741i | 0.269805 | + | 0.240250i | ||||
\(566\) | −46.8316 | + | 72.8715i | −0.0827414 | + | 0.128748i | ||||
\(567\) | −486.765 | + | 142.927i | −0.858492 | + | 0.252076i | ||||
\(568\) | 170.518 | + | 24.5168i | 0.300208 | + | 0.0431633i | ||||
\(569\) | −271.448 | − | 235.211i | −0.477061 | − | 0.413376i | 0.382857 | − | 0.923808i | \(-0.374940\pi\) |
−0.859918 | + | 0.510432i | \(0.829486\pi\) | |||||||
\(570\) | −212.631 | − | 65.5692i | −0.373036 | − | 0.115034i | ||||
\(571\) | 536.451 | − | 464.837i | 0.939493 | − | 0.814075i | −0.0432474 | − | 0.999064i | \(-0.513770\pi\) |
0.982741 | + | 0.184989i | \(0.0592249\pi\) | |||||||
\(572\) | 529.015 | + | 155.333i | 0.924852 | + | 0.271561i | ||||
\(573\) | 278.545 | − | 609.929i | 0.486117 | − | 1.06445i | ||||
\(574\) | 679.915i | 1.18452i | ||||||||
\(575\) | −102.129 | + | 565.857i | −0.177616 | + | 0.984100i | ||||
\(576\) | −5.82061 | −0.0101052 | ||||||||
\(577\) | 578.655 | + | 264.263i | 1.00287 | + | 0.457994i | 0.848032 | − | 0.529946i | \(-0.177788\pi\) |
0.154836 | + | 0.987940i | \(0.450515\pi\) | |||||||
\(578\) | −90.4443 | + | 308.025i | −0.156478 | + | 0.532915i | ||||
\(579\) | 318.729 | + | 367.833i | 0.550482 | + | 0.635291i | ||||
\(580\) | 133.967 | − | 434.433i | 0.230977 | − | 0.749023i | ||||
\(581\) | −37.3407 | + | 43.0935i | −0.0642698 | + | 0.0741713i | ||||
\(582\) | −79.7642 | + | 554.772i | −0.137052 | + | 0.953217i | ||||
\(583\) | 346.741 | + | 1180.89i | 0.594753 | + | 2.02554i | ||||
\(584\) | 133.514 | + | 85.8041i | 0.228619 | + | 0.146925i | ||||
\(585\) | −40.1440 | + | 45.0825i | −0.0686223 | + | 0.0770640i | ||||
\(586\) | −1.74776 | + | 0.798176i | −0.00298253 | + | 0.00136208i | ||||
\(587\) | 134.389 | − | 61.3736i | 0.228943 | − | 0.104555i | −0.297641 | − | 0.954678i | \(-0.596200\pi\) |
0.526584 | + | 0.850123i | \(0.323473\pi\) | |||||||
\(588\) | 10.8297 | − | 1.55708i | 0.0184179 | − | 0.00264809i | ||||
\(589\) | −141.908 | + | 220.813i | −0.240930 | + | 0.374894i | ||||
\(590\) | −300.778 | − | 199.095i | −0.509793 | − | 0.337449i | ||||
\(591\) | 135.656 | − | 943.509i | 0.229537 | − | 1.59646i | ||||
\(592\) | −70.4753 | + | 81.3328i | −0.119046 | + | 0.137387i | ||||
\(593\) | 307.280 | + | 478.137i | 0.518179 | + | 0.806302i | 0.997450 | − | 0.0713646i | \(-0.0227354\pi\) |
−0.479271 | + | 0.877667i | \(0.659099\pi\) | |||||||
\(594\) | 496.789 | − | 430.470i | 0.836345 | − | 0.724697i | ||||
\(595\) | −247.264 | + | 108.906i | −0.415569 | + | 0.183035i | ||||
\(596\) | 75.0584 | + | 34.2780i | 0.125937 | + | 0.0575134i | ||||
\(597\) | −296.253 | −0.496237 | ||||||||
\(598\) | −72.1486 | − | 534.892i | −0.120650 | − | 0.894469i | ||||
\(599\) | −374.061 | −0.624476 | −0.312238 | − | 0.950004i | \(-0.601079\pi\) | ||||
−0.312238 | + | 0.950004i | \(0.601079\pi\) | |||||||
\(600\) | −168.056 | − | 114.539i | −0.280094 | − | 0.190899i | ||||
\(601\) | 778.384 | + | 228.554i | 1.29515 | + | 0.380290i | 0.855464 | − | 0.517862i | \(-0.173272\pi\) |
0.439685 | + | 0.898152i | \(0.355090\pi\) | |||||||
\(602\) | −564.421 | + | 489.074i | −0.937577 | + | 0.812415i | ||||
\(603\) | −18.3921 | + | 11.8199i | −0.0305011 | + | 0.0196019i | ||||
\(604\) | −112.470 | + | 129.798i | −0.186209 | + | 0.214897i | ||||
\(605\) | 410.155 | + | 657.594i | 0.677943 | + | 1.08693i | ||||
\(606\) | 561.247 | − | 164.797i | 0.926151 | − | 0.271942i | ||||
\(607\) | −204.984 | + | 318.961i | −0.337699 | + | 0.525471i | −0.968023 | − | 0.250862i | \(-0.919286\pi\) |
0.630323 | + | 0.776333i | \(0.282922\pi\) | |||||||
\(608\) | −8.80796 | − | 61.2607i | −0.0144868 | − | 0.100758i | ||||
\(609\) | 816.266 | − | 372.776i | 1.34034 | − | 0.612112i | ||||
\(610\) | 731.006 | + | 345.858i | 1.19837 | + | 0.566981i | ||||
\(611\) | 31.0748 | + | 216.130i | 0.0508589 | + | 0.353731i | ||||
\(612\) | −9.63885 | − | 6.19451i | −0.0157498 | − | 0.0101218i | ||||
\(613\) | 524.902 | − | 154.125i | 0.856285 | − | 0.251428i | 0.176013 | − | 0.984388i | \(-0.443680\pi\) |
0.680272 | + | 0.732960i | \(0.261862\pi\) | |||||||
\(614\) | 5.98443 | − | 41.6226i | 0.00974663 | − | 0.0677893i | ||||
\(615\) | −1007.36 | − | 13.6199i | −1.63798 | − | 0.0221462i | ||||
\(616\) | 271.288 | − | 174.346i | 0.440403 | − | 0.283030i | ||||
\(617\) | 502.369 | + | 579.764i | 0.814212 | + | 0.939651i | 0.999070 | − | 0.0431147i | \(-0.0137281\pi\) |
−0.184858 | + | 0.982765i | \(0.559183\pi\) | |||||||
\(618\) | −72.2084 | − | 21.2023i | −0.116842 | − | 0.0343079i | ||||
\(619\) | 51.0793 | + | 23.3271i | 0.0825190 | + | 0.0376852i | 0.456247 | − | 0.889853i | \(-0.349193\pi\) |
−0.373728 | + | 0.927538i | \(0.621921\pi\) | |||||||
\(620\) | −183.419 | + | 154.642i | −0.295837 | + | 0.249422i | ||||
\(621\) | −582.994 | − | 272.416i | −0.938799 | − | 0.438674i | ||||
\(622\) | − | 718.403i | − | 1.15499i | ||||||
\(623\) | −568.007 | − | 259.400i | −0.911729 | − | 0.416373i | ||||
\(624\) | 183.171 | + | 53.7839i | 0.293543 | + | 0.0861921i | ||||
\(625\) | 228.525 | + | 581.723i | 0.365640 | + | 0.930756i | ||||
\(626\) | −80.5962 | − | 125.410i | −0.128748 | − | 0.200336i | ||||
\(627\) | 395.096 | + | 342.352i | 0.630137 | + | 0.546017i | ||||
\(628\) | −9.09284 | + | 63.2421i | −0.0144790 | + | 0.100704i | ||||
\(629\) | −203.263 | + | 59.6835i | −0.323153 | + | 0.0948864i | ||||
\(630\) | 4.55183 | + | 35.0127i | 0.00722513 | + | 0.0555757i | ||||
\(631\) | 296.687 | − | 42.6572i | 0.470186 | − | 0.0676025i | 0.0968505 | − | 0.995299i | \(-0.469123\pi\) |
0.373335 | + | 0.927696i | \(0.378214\pi\) | |||||||
\(632\) | −102.045 | − | 223.448i | −0.161464 | − | 0.353557i | ||||
\(633\) | −482.819 | + | 220.496i | −0.762747 | + | 0.348335i | ||||
\(634\) | −66.9524 | − | 465.664i | −0.105603 | − | 0.734486i | ||||
\(635\) | −97.1474 | − | 747.258i | −0.152988 | − | 1.17678i | ||||
\(636\) | 120.059 | + | 408.883i | 0.188772 | + | 0.642897i | ||||
\(637\) | 31.2399 | + | 4.49162i | 0.0490423 | + | 0.00705121i | ||||
\(638\) | −699.472 | + | 807.234i | −1.09635 | + | 1.26526i | ||||
\(639\) | 37.2798 | − | 23.9583i | 0.0583409 | − | 0.0374934i | ||||
\(640\) | 8.80678 | − | 55.8788i | 0.0137606 | − | 0.0873106i | ||||
\(641\) | 169.016 | − | 575.616i | 0.263676 | − | 0.897997i | −0.716117 | − | 0.697980i | \(-0.754082\pi\) |
0.979793 | − | 0.200016i | \(-0.0640995\pi\) | |||||||
\(642\) | −241.600 | + | 529.030i | −0.376324 | + | 0.824035i | ||||
\(643\) | 808.183 | 1.25689 | 0.628447 | − | 0.777852i | \(-0.283691\pi\) | ||||
0.628447 | + | 0.777852i | \(0.283691\pi\) | |||||||
\(644\) | −264.075 | − | 172.985i | −0.410054 | − | 0.268610i | ||||
\(645\) | −713.305 | − | 846.043i | −1.10590 | − | 1.31169i | ||||
\(646\) | 50.6101 | − | 110.821i | 0.0783438 | − | 0.171549i | ||||
\(647\) | 278.716 | − | 949.219i | 0.430782 | − | 1.46711i | −0.403095 | − | 0.915158i | \(-0.632066\pi\) |
0.833877 | − | 0.551950i | \(-0.186116\pi\) | |||||||
\(648\) | 158.015 | − | 136.921i | 0.243851 | − | 0.211298i | ||||
\(649\) | 458.174 | + | 712.933i | 0.705970 | + | 1.09851i | ||||
\(650\) | −372.060 | − | 453.600i | −0.572399 | − | 0.697846i | ||||
\(651\) | −468.728 | − | 67.3930i | −0.720013 | − | 0.103522i | ||||
\(652\) | 23.4074 | + | 79.7182i | 0.0359009 | + | 0.122267i | ||||
\(653\) | −649.194 | + | 1010.16i | −0.994171 | + | 1.54696i | −0.166274 | + | 0.986080i | \(0.553174\pi\) |
−0.827897 | + | 0.560881i | \(0.810463\pi\) | |||||||
\(654\) | 185.418 | − | 26.6591i | 0.283514 | − | 0.0407632i | ||||
\(655\) | 145.526 | + | 68.8523i | 0.222178 | + | 0.105118i | ||||
\(656\) | −116.407 | − | 254.897i | −0.177450 | − | 0.388562i | ||||
\(657\) | 40.4101 | − | 5.81009i | 0.0615070 | − | 0.00884337i | ||||
\(658\) | 107.439 | + | 69.0469i | 0.163281 | + | 0.104934i | ||||
\(659\) | −215.743 | − | 734.754i | −0.327380 | − | 1.11495i | −0.944617 | − | 0.328175i | \(-0.893566\pi\) |
0.617237 | − | 0.786777i | \(-0.288252\pi\) | |||||||
\(660\) | 252.877 | + | 405.433i | 0.383147 | + | 0.614292i | ||||
\(661\) | 136.091 | + | 117.924i | 0.205887 | + | 0.178402i | 0.751701 | − | 0.659505i | \(-0.229234\pi\) |
−0.545814 | + | 0.837907i | \(0.683779\pi\) | |||||||
\(662\) | −316.415 | − | 492.351i | −0.477968 | − | 0.743733i | ||||
\(663\) | 246.090 | + | 284.003i | 0.371176 | + | 0.428360i | ||||
\(664\) | 6.62087 | − | 22.5486i | 0.00997118 | − | 0.0339587i | ||||
\(665\) | −361.613 | + | 100.890i | −0.543779 | + | 0.151714i | ||||
\(666\) | 27.6835i | 0.0415669i | ||||||||
\(667\) | 1000.66 | + | 303.329i | 1.50024 | + | 0.454766i | ||||
\(668\) | 56.1827i | 0.0841058i | ||||||||
\(669\) | 182.870 | − | 400.429i | 0.273348 | − | 0.598549i | ||||
\(670\) | −85.6451 | − | 194.451i | −0.127829 | − | 0.290226i | ||||
\(671\) | −1244.25 | − | 1435.94i | −1.85432 | − | 2.14000i | ||||
\(672\) | 93.9333 | − | 60.3672i | 0.139782 | − | 0.0898322i | ||||
\(673\) | 17.3890 | + | 15.0676i | 0.0258380 | + | 0.0223888i | 0.667684 | − | 0.744445i | \(-0.267286\pi\) |
−0.641846 | + | 0.766834i | \(0.721831\pi\) | |||||||
\(674\) | −297.804 | − | 42.8177i | −0.441846 | − | 0.0635278i | ||||
\(675\) | −694.776 | + | 80.7888i | −1.02930 | + | 0.119687i | ||||
\(676\) | 178.926 | + | 114.989i | 0.264684 | + | 0.170102i | ||||
\(677\) | −110.586 | − | 769.143i | −0.163347 | − | 1.13611i | −0.892268 | − | 0.451507i | \(-0.850887\pi\) |
0.728920 | − | 0.684599i | \(-0.240022\pi\) | |||||||
\(678\) | −68.9798 | − | 151.045i | −0.101740 | − | 0.222780i | ||||
\(679\) | 392.835 | + | 860.188i | 0.578549 | + | 1.26684i | ||||
\(680\) | 74.0522 | − | 83.1620i | 0.108900 | − | 0.122297i | ||||
\(681\) | −212.321 | + | 330.377i | −0.311778 | + | 0.485136i | ||||
\(682\) | 540.831 | − | 158.802i | 0.793007 | − | 0.232848i | ||||
\(683\) | −471.147 | − | 67.7407i | −0.689820 | − | 0.0991811i | −0.211515 | − | 0.977375i | \(-0.567840\pi\) |
−0.478305 | + | 0.878194i | \(0.658749\pi\) | |||||||
\(684\) | −12.0320 | − | 10.4258i | −0.0175906 | − | 0.0152423i | ||||
\(685\) | 175.010 | − | 567.531i | 0.255489 | − | 0.828512i | ||||
\(686\) | 373.361 | − | 323.519i | 0.544258 | − | 0.471602i | ||||
\(687\) | −696.450 | − | 204.496i | −1.01376 | − | 0.297666i | ||||
\(688\) | 127.865 | − | 279.985i | 0.185850 | − | 0.406955i | ||||
\(689\) | 1229.28i | 1.78414i | ||||||||
\(690\) | 261.584 | − | 387.788i | 0.379107 | − | 0.562012i | ||||
\(691\) | 358.460 | 0.518755 | 0.259378 | − | 0.965776i | \(-0.416483\pi\) | ||||
0.259378 | + | 0.965776i | \(0.416483\pi\) | |||||||
\(692\) | 346.002 | + | 158.014i | 0.500003 | + | 0.228344i | ||||
\(693\) | 23.3709 | − | 79.5939i | 0.0337242 | − | 0.114854i | ||||
\(694\) | −57.6315 | − | 66.5103i | −0.0830425 | − | 0.0958361i | ||||
\(695\) | −100.196 | + | 324.920i | −0.144167 | + | 0.467510i | ||||
\(696\) | −242.192 | + | 279.504i | −0.347976 | + | 0.401586i | ||||
\(697\) | 78.5015 | − | 545.990i | 0.112628 | − | 0.783343i | ||||
\(698\) | −100.786 | − | 343.246i | −0.144393 | − | 0.491756i | ||||
\(699\) | 138.397 | + | 88.9424i | 0.197993 | + | 0.127242i | ||||
\(700\) | −343.014 | − | 9.27708i | −0.490021 | − | 0.0132530i | ||||
\(701\) | −20.7816 | + | 9.49065i | −0.0296457 | + | 0.0135387i | −0.430183 | − | 0.902742i | \(-0.641551\pi\) |
0.400537 | + | 0.916281i | \(0.368824\pi\) | |||||||
\(702\) | 597.228 | − | 272.745i | 0.850753 | − | 0.388526i | ||||
\(703\) | −291.363 | + | 41.8917i | −0.414457 | + | 0.0595899i | ||||
\(704\) | −71.8549 | + | 111.808i | −0.102067 | + | 0.158819i | ||||
\(705\) | −104.452 | + | 157.798i | −0.148159 | + | 0.223828i | ||||
\(706\) | 32.6048 | − | 226.771i | 0.0461824 | − | 0.321205i | ||||
\(707\) | 646.296 | − | 745.865i | 0.914138 | − | 1.05497i | ||||
\(708\) | 158.642 | + | 246.852i | 0.224071 | + | 0.348662i | ||||
\(709\) | 326.953 | − | 283.306i | 0.461146 | − | 0.399586i | −0.393066 | − | 0.919510i | \(-0.628585\pi\) |
0.854212 | + | 0.519925i | \(0.174040\pi\) | |||||||
\(710\) | 173.598 | + | 394.142i | 0.244504 | + | 0.555129i | ||||
\(711\) | −57.4791 | − | 26.2498i | −0.0808426 | − | 0.0369196i | ||||
\(712\) | 257.355 | 0.361453 | ||||||||
\(713\) | −357.694 | − | 420.153i | −0.501675 | − | 0.589274i | ||||
\(714\) | 219.797 | 0.307839 | ||||||||
\(715\) | 370.417 | + | 1327.67i | 0.518066 | + | 1.85688i | ||||
\(716\) | −52.0143 | − | 15.2728i | −0.0726457 | − | 0.0213307i | ||||
\(717\) | 982.195 | − | 851.077i | 1.36987 | − | 1.18700i | ||||
\(718\) | −442.256 | + | 284.221i | −0.615955 | + | 0.395850i | ||||
\(719\) | −461.614 | + | 532.731i | −0.642023 | + | 0.740934i | −0.979731 | − | 0.200317i | \(-0.935803\pi\) |
0.337708 | + | 0.941251i | \(0.390348\pi\) | |||||||
\(720\) | −7.70094 | − | 12.3468i | −0.0106957 | − | 0.0171483i | ||||
\(721\) | −121.831 | + | 35.7728i | −0.168975 | + | 0.0496155i | ||||
\(722\) | −184.492 | + | 287.075i | −0.255529 | + | 0.397611i | ||||
\(723\) | 53.5690 | + | 372.580i | 0.0740926 | + | 0.515326i | ||||
\(724\) | 460.345 | − | 210.233i | 0.635836 | − | 0.290377i | ||||
\(725\) | 1098.77 | − | 290.603i | 1.51555 | − | 0.400832i | ||||
\(726\) | −89.7274 | − | 624.068i | −0.123591 | − | 0.859597i | ||||
\(727\) | −480.300 | − | 308.670i | −0.660660 | − | 0.424580i | 0.166888 | − | 0.985976i | \(-0.446628\pi\) |
−0.827547 | + | 0.561396i | \(0.810265\pi\) | |||||||
\(728\) | 309.049 | − | 90.7448i | 0.424517 | − | 0.124649i | ||||
\(729\) | 110.724 | − | 770.101i | 0.151884 | − | 1.05638i | ||||
\(730\) | −5.36400 | + | 396.734i | −0.00734794 | + | 0.543471i | ||||
\(731\) | 509.713 | − | 327.573i | 0.697282 | − | 0.448116i | ||||
\(732\) | −430.819 | − | 497.192i | −0.588551 | − | 0.679224i | ||||
\(733\) | 554.047 | + | 162.683i | 0.755862 | + | 0.221941i | 0.636888 | − | 0.770956i | \(-0.280221\pi\) |
0.118974 | + | 0.992897i | \(0.462040\pi\) | |||||||
\(734\) | −35.8753 | − | 16.3837i | −0.0488764 | − | 0.0223211i | ||||
\(735\) | 17.6311 | + | 20.9121i | 0.0239879 | + | 0.0284518i | ||||
\(736\) | 128.617 | + | 19.6391i | 0.174751 | + | 0.0266835i | ||||
\(737\) | 499.212i | 0.677356i | ||||||||
\(738\) | −65.5689 | − | 29.9443i | −0.0888467 | − | 0.0405749i | ||||
\(739\) | 258.543 | + | 75.9150i | 0.349855 | + | 0.102727i | 0.451938 | − | 0.892049i | \(-0.350733\pi\) |
−0.102084 | + | 0.994776i | \(0.532551\pi\) | |||||||
\(740\) | −265.766 | − | 41.8861i | −0.359144 | − | 0.0566029i | ||||
\(741\) | 282.302 | + | 439.271i | 0.380975 | + | 0.592808i | ||||
\(742\) | 543.381 | + | 470.842i | 0.732319 | + | 0.634558i | ||||
\(743\) | 133.250 | − | 926.774i | 0.179340 | − | 1.24734i | −0.678953 | − | 0.734182i | \(-0.737566\pi\) |
0.858294 | − | 0.513159i | \(-0.171525\pi\) | |||||||
\(744\) | 187.262 | − | 54.9851i | 0.251696 | − | 0.0739048i | ||||
\(745\) | 26.5947 | + | 204.566i | 0.0356975 | + | 0.274586i | ||||
\(746\) | −227.693 | + | 32.7373i | −0.305218 | + | 0.0438837i | ||||
\(747\) | −2.51127 | − | 5.49892i | −0.00336181 | − | 0.00736134i | ||||
\(748\) | −237.981 | + | 108.682i | −0.318157 | + | 0.145297i | ||||
\(749\) | 139.648 | + | 971.273i | 0.186446 | + | 1.29676i | ||||
\(750\) | 20.6161 | − | 508.024i | 0.0274881 | − | 0.677365i | ||||
\(751\) | 347.315 | + | 1182.85i | 0.462470 | + | 1.57503i | 0.779366 | + | 0.626569i | \(0.215541\pi\) |
−0.316896 | + | 0.948460i | \(0.602641\pi\) | |||||||
\(752\) | −52.0998 | − | 7.49082i | −0.0692816 | − | 0.00996119i | ||||
\(753\) | −446.496 | + | 515.284i | −0.592956 | + | 0.684308i | ||||
\(754\) | −897.489 | + | 576.781i | −1.19030 | + | 0.764962i | ||||
\(755\) | −424.133 | − | 66.8454i | −0.561765 | − | 0.0885370i | ||||
\(756\) | 108.191 | − | 368.463i | 0.143109 | − | 0.487385i | ||||
\(757\) | 206.287 | − | 451.705i | 0.272506 | − | 0.596704i | −0.723059 | − | 0.690787i | \(-0.757264\pi\) |
0.995564 | + | 0.0940822i | \(0.0299917\pi\) | |||||||
\(758\) | 489.111 | 0.645265 | ||||||||
\(759\) | −929.695 | + | 586.082i | −1.22490 | + | 0.772176i | ||||
\(760\) | 118.294 | − | 99.7343i | 0.155650 | − | 0.131229i | ||||
\(761\) | −223.619 | + | 489.657i | −0.293849 | + | 0.643439i | −0.997763 | − | 0.0668454i | \(-0.978707\pi\) |
0.703914 | + | 0.710285i | \(0.251434\pi\) | |||||||
\(762\) | −172.706 | + | 588.184i | −0.226649 | + | 0.771895i | ||||
\(763\) | 238.860 | − | 206.973i | 0.313054 | − | 0.271263i | ||||
\(764\) | 252.079 | + | 392.242i | 0.329946 | + | 0.513406i | ||||
\(765\) | 0.387247 | − | 28.6417i | 0.000506205 | − | 0.0374401i | ||||
\(766\) | −13.3918 | − | 1.92545i | −0.0174827 | − | 0.00251364i | ||||
\(767\) | 238.473 | + | 812.165i | 0.310917 | + | 1.05889i | ||||
\(768\) | −24.8797 | + | 38.7136i | −0.0323954 | + | 0.0504083i | ||||
\(769\) | −1354.35 | + | 194.726i | −1.76118 | + | 0.253220i | −0.945579 | − | 0.325394i | \(-0.894503\pi\) |
−0.815602 | + | 0.578613i | \(0.803594\pi\) | |||||||
\(770\) | 728.753 | + | 344.792i | 0.946432 | + | 0.447782i | ||||
\(771\) | 72.4791 | + | 158.707i | 0.0940066 | + | 0.205846i | ||||
\(772\) | −334.999 | + | 48.1656i | −0.433937 | + | 0.0623907i | ||||
\(773\) | −327.614 | − | 210.545i | −0.423821 | − | 0.272373i | 0.311296 | − | 0.950313i | \(-0.399237\pi\) |
−0.735118 | + | 0.677939i | \(0.762873\pi\) | |||||||
\(774\) | −22.3069 | − | 75.9705i | −0.0288203 | − | 0.0981531i | ||||
\(775\) | −570.699 | − | 184.472i | −0.736386 | − | 0.238029i | ||||
\(776\) | −294.543 | − | 255.223i | −0.379566 | − | 0.328896i | ||||
\(777\) | −287.114 | − | 446.758i | −0.369516 | − | 0.574978i | ||||
\(778\) | −392.547 | − | 453.023i | −0.504559 | − | 0.582292i | ||||
\(779\) | 215.936 | − | 735.411i | 0.277197 | − | 0.944045i | ||||
\(780\) | 128.257 | + | 459.704i | 0.164432 | + | 0.589364i | ||||
\(781\) | − | 1011.87i | − | 1.29561i | ||||||
\(782\) | 192.087 | + | 169.401i | 0.245636 | + | 0.216625i | ||||
\(783\) | 1271.95i | 1.62446i | ||||||||
\(784\) | −3.16051 | + | 6.92054i | −0.00403126 | + | 0.00882722i | ||||
\(785\) | −146.180 | + | 64.3843i | −0.186217 | + | 0.0820183i | ||||
\(786\) | −85.7661 | − | 98.9794i | −0.109117 | − | 0.125928i | ||||
\(787\) | 301.515 | − | 193.772i | 0.383120 | − | 0.246216i | −0.334878 | − | 0.942261i | \(-0.608695\pi\) |
0.717998 | + | 0.696045i | \(0.245059\pi\) | |||||||
\(788\) | 500.934 | + | 434.062i | 0.635704 | + | 0.550840i | ||||
\(789\) | 1091.42 | + | 156.923i | 1.38330 | + | 0.198889i | ||||
\(790\) | 338.970 | − | 512.091i | 0.429076 | − | 0.648217i | ||||
\(791\) | −235.687 | − | 151.467i | −0.297961 | − | 0.191488i | ||||
\(792\) | 4.86555 | + | 33.8406i | 0.00614337 | + | 0.0427281i | ||||
\(793\) | −788.353 | − | 1726.25i | −0.994140 | − | 2.17686i | ||||
\(794\) | 328.347 | + | 718.980i | 0.413536 | + | 0.905517i | ||||
\(795\) | −708.484 | + | 795.641i | −0.891175 | + | 1.00081i | ||||
\(796\) | 111.374 | − | 173.302i | 0.139918 | − | 0.217716i | ||||
\(797\) | −347.058 | + | 101.905i | −0.435455 | + | 0.127861i | −0.492111 | − | 0.870533i | \(-0.663774\pi\) |
0.0566556 | + | 0.998394i | \(0.481956\pi\) | |||||||
\(798\) | 302.301 | + | 43.4643i | 0.378823 | + | 0.0544666i | ||||
\(799\) | −78.3045 | − | 67.8512i | −0.0980031 | − | 0.0849202i | ||||
\(800\) | 130.183 | − | 55.2492i | 0.162728 | − | 0.0690614i | ||||
\(801\) | 50.0315 | − | 43.3525i | 0.0624613 | − | 0.0541230i | ||||
\(802\) | −105.082 | − | 30.8548i | −0.131025 | − | 0.0384723i | ||||
\(803\) | 387.252 | − | 847.964i | 0.482257 | − | 1.05600i | ||||
\(804\) | 172.852i | 0.214989i | ||||||||
\(805\) | 17.5540 | − | 789.026i | 0.0218062 | − | 0.980157i | ||||
\(806\) | 562.990 | 0.698499 | ||||||||
\(807\) | −433.277 | − | 197.871i | −0.536899 | − | 0.245193i | ||||
\(808\) | −114.594 | + | 390.272i | −0.141825 | + | 0.483010i | ||||
\(809\) | 364.212 | + | 420.323i | 0.450200 | + | 0.519558i | 0.934799 | − | 0.355178i | \(-0.115580\pi\) |
−0.484599 | + | 0.874737i | \(0.661034\pi\) | |||||||
\(810\) | 499.500 | + | 154.031i | 0.616667 | + | 0.190162i | ||||
\(811\) | −786.518 | + | 907.690i | −0.969813 | + | 1.11922i | 0.0230227 | + | 0.999735i | \(0.492671\pi\) |
−0.992836 | + | 0.119489i | \(0.961874\pi\) | |||||||
\(812\) | −88.8035 | + | 617.642i | −0.109364 | + | 0.760643i | ||||
\(813\) | 121.079 | + | 412.359i | 0.148929 | + | 0.507206i | ||||
\(814\) | 531.775 | + | 341.751i | 0.653286 | + | 0.419841i | ||||
\(815\) | −138.130 | + | 155.123i | −0.169485 | + | 0.190335i | ||||
\(816\) | −82.4008 | + | 37.6312i | −0.100981 | + | 0.0461167i | ||||
\(817\) | 765.818 | − | 349.737i | 0.937353 | − | 0.428075i | ||||
\(818\) | 917.568 | − | 131.926i | 1.12172 | − | 0.161279i | ||||
\(819\) | 44.7948 | − | 69.7020i | 0.0546945 | − | 0.0851063i | ||||
\(820\) | 386.678 | − | 584.165i | 0.471558 | − | 0.712396i | ||||
\(821\) | 210.635 | − | 1465.00i | 0.256559 | − | 1.78441i | −0.300343 | − | 0.953831i | \(-0.597101\pi\) |
0.556902 | − | 0.830578i | \(-0.311990\pi\) | |||||||
\(822\) | −316.392 | + | 365.136i | −0.384905 | + | 0.444204i | ||||
\(823\) | −68.5870 | − | 106.723i | −0.0833378 | − | 0.129676i | 0.797082 | − | 0.603871i | \(-0.206376\pi\) |
−0.880420 | + | 0.474195i | \(0.842739\pi\) | |||||||
\(824\) | 39.5492 | − | 34.2695i | 0.0479965 | − | 0.0415892i | ||||
\(825\) | −525.442 | + | 1072.81i | −0.636899 | + | 1.30038i | ||||
\(826\) | 450.346 | + | 205.666i | 0.545213 | + | 0.248990i | ||||
\(827\) | 34.0401 | 0.0411609 | 0.0205804 | − | 0.999788i | \(-0.493449\pi\) | ||||
0.0205804 | + | 0.999788i | \(0.493449\pi\) | |||||||
\(828\) | 28.3123 | − | 17.8481i | 0.0341936 | − | 0.0215557i | ||||
\(829\) | 628.372 | 0.757987 | 0.378994 | − | 0.925399i | \(-0.376270\pi\) | ||||
0.378994 | + | 0.925399i | \(0.376270\pi\) | |||||||
\(830\) | 56.5901 | − | 15.7886i | 0.0681809 | − | 0.0190224i | ||||
\(831\) | 526.187 | + | 154.502i | 0.633197 | + | 0.185924i | ||||
\(832\) | −100.324 | + | 86.9316i | −0.120582 | + | 0.104485i | ||||
\(833\) | −12.5988 | + | 8.09679i | −0.0151247 | + | 0.00972003i | ||||
\(834\) | 181.139 | − | 209.045i | 0.217193 | − | 0.250654i | ||||
\(835\) | −119.176 | + | 74.3323i | −0.142725 | + | 0.0890207i | ||||
\(836\) | −348.803 | + | 102.418i | −0.417228 | + | 0.122509i | ||||
\(837\) | 362.891 | − | 564.670i | 0.433562 | − | 0.674636i | ||||
\(838\) | 70.4547 | + | 490.023i | 0.0840748 | + | 0.584753i | ||||
\(839\) | 710.803 | − | 324.613i | 0.847202 | − | 0.386904i | 0.0559793 | − | 0.998432i | \(-0.482172\pi\) |
0.791223 | + | 0.611528i | \(0.209445\pi\) | |||||||
\(840\) | 252.330 | + | 119.384i | 0.300393 | + | 0.142124i | ||||
\(841\) | −174.449 | − | 1213.32i | −0.207430 | − | 1.44271i | ||||
\(842\) | −564.083 | − | 362.514i | −0.669932 | − | 0.430539i | ||||
\(843\) | 1060.26 | − | 311.322i | 1.25773 | − | 0.369302i | ||||
\(844\) | 52.5270 | − | 365.333i | 0.0622357 | − | 0.432859i | ||||
\(845\) | −7.18848 | + | 531.677i | −0.00850708 | + | 0.629204i | ||||
\(846\) | −11.3904 | + | 7.32018i | −0.0134639 | + | 0.00865269i | ||||
\(847\) | −696.616 | − | 803.938i | −0.822451 | − | 0.949159i | ||||
\(848\) | −284.323 | − | 83.4848i | −0.335287 | − | 0.0984491i | ||||
\(849\) | 160.250 | + | 73.1837i | 0.188751 | + | 0.0861998i | ||||
\(850\) | 274.379 | + | 47.0535i | 0.322799 | + | 0.0553570i | ||||
\(851\) | 93.4059 | − | 611.718i | 0.109760 | − | 0.718822i | ||||
\(852\) | − | 350.360i | − | 0.411221i | ||||||
\(853\) | −121.995 | − | 55.7133i | −0.143019 | − | 0.0653145i | 0.342620 | − | 0.939474i | \(-0.388686\pi\) |
−0.485639 | + | 0.874160i | \(0.661413\pi\) | |||||||
\(854\) | −1065.02 | − | 312.718i | −1.24710 | − | 0.366181i | ||||
\(855\) | 6.19643 | − | 39.3162i | 0.00724728 | − | 0.0459838i | ||||
\(856\) | −218.644 | − | 340.216i | −0.255425 | − | 0.397449i | ||||
\(857\) | −1057.08 | − | 915.963i | −1.23346 | − | 1.06880i | −0.995226 | − | 0.0975949i | \(-0.968885\pi\) |
−0.238237 | − | 0.971207i | \(-0.576569\pi\) | |||||||
\(858\) | 159.580 | − | 1109.90i | 0.185991 | − | 1.29359i | ||||
\(859\) | 957.070 | − | 281.021i | 1.11417 | − | 0.327149i | 0.327701 | − | 0.944782i | \(-0.393726\pi\) |
0.786467 | + | 0.617632i | \(0.211908\pi\) | |||||||
\(860\) | 763.080 | − | 99.2043i | 0.887302 | − | 0.115354i | ||||
\(861\) | 1368.71 | − | 196.791i | 1.58968 | − | 0.228561i | ||||
\(862\) | 474.293 | + | 1038.56i | 0.550224 | + | 1.20482i | ||||
\(863\) | −819.218 | + | 374.124i | −0.949268 | + | 0.433516i | −0.829014 | − | 0.559227i | \(-0.811098\pi\) |
−0.120253 | + | 0.992743i | \(0.538371\pi\) | |||||||
\(864\) | 22.5240 | + | 156.658i | 0.0260695 | + | 0.181317i | ||||
\(865\) | 122.595 | + | 943.003i | 0.141729 | + | 1.09018i | ||||
\(866\) | 181.446 | + | 617.948i | 0.209522 | + | 0.713566i | ||||
\(867\) | 646.253 | + | 92.9171i | 0.745390 | + | 0.107171i | ||||
\(868\) | 215.639 | − | 248.860i | 0.248432 | − | 0.286706i | ||||
\(869\) | −1213.81 | + | 780.067i | −1.39679 | + | 0.897661i | ||||
\(870\) | −913.318 | − | 143.944i | −1.04979 | − | 0.165452i | ||||
\(871\) | −140.476 | + | 478.418i | −0.161281 | + | 0.549274i | ||||
\(872\) | −54.1118 | + | 118.488i | −0.0620548 | + | 0.135881i | ||||
\(873\) | −100.255 | −0.114839 | ||||||||
\(874\) | 230.691 | + | 270.973i | 0.263948 | + | 0.310037i | ||||
\(875\) | −434.145 | − | 739.881i | −0.496166 | − | 0.845578i | ||||
\(876\) | 134.086 | − | 293.607i | 0.153066 | − | 0.335168i | ||||
\(877\) | −325.157 | + | 1107.38i | −0.370761 | + | 1.26270i | 0.537134 | + | 0.843497i | \(0.319507\pi\) |
−0.907895 | + | 0.419198i | \(0.862311\pi\) | |||||||
\(878\) | 414.333 | − | 359.022i | 0.471906 | − | 0.408909i | ||||
\(879\) | 2.11265 | + | 3.28734i | 0.00240346 | + | 0.00373986i | ||||
\(880\) | −332.237 | − | 4.49198i | −0.377542 | − | 0.00510452i | ||||
\(881\) | 821.649 | + | 118.135i | 0.932632 | + | 0.134092i | 0.591848 | − | 0.806050i | \(-0.298399\pi\) |
0.340784 | + | 0.940142i | \(0.389308\pi\) | |||||||
\(882\) | 0.551373 | + | 1.87780i | 0.000625139 | + | 0.00212903i | ||||
\(883\) | 191.147 | − | 297.431i | 0.216475 | − | 0.336841i | −0.715985 | − | 0.698116i | \(-0.754022\pi\) |
0.932459 | + | 0.361275i | \(0.117658\pi\) | |||||||
\(884\) | −258.652 | + | 37.1885i | −0.292592 | + | 0.0420684i | ||||
\(885\) | −313.736 | + | 663.111i | −0.354503 | + | 0.749279i | ||||
\(886\) | −84.4382 | − | 184.894i | −0.0953027 | − | 0.208684i | ||||
\(887\) | 254.291 | − | 36.5616i | 0.286687 | − | 0.0412194i | 0.00252894 | − | 0.999997i | \(-0.499195\pi\) |
0.284158 | + | 0.958777i | \(0.408286\pi\) | |||||||
\(888\) | 184.126 | + | 118.331i | 0.207350 | + | 0.133255i | ||||
\(889\) | 291.392 | + | 992.392i | 0.327776 | + | 1.11630i | ||||
\(890\) | 340.492 | + | 545.904i | 0.382575 | + | 0.613375i | ||||
\(891\) | −928.137 | − | 804.235i | −1.04168 | − | 0.902621i | ||||
\(892\) | 165.494 | + | 257.514i | 0.185531 | + | 0.288693i | ||||
\(893\) | −94.2797 | − | 108.805i | −0.105576 | − | 0.121842i | ||||
\(894\) | 47.2794 | − | 161.019i | 0.0528852 | − | 0.180111i | ||||
\(895\) | −36.4205 | − | 130.540i | −0.0406933 | − | 0.145855i | ||||
\(896\) | 77.6437i | 0.0866559i | ||||||||
\(897\) | −1055.89 | + | 300.057i | −1.17714 | + | 0.334511i | ||||
\(898\) | 577.597i | 0.643204i | ||||||||
\(899\) | −453.083 | + | 992.113i | −0.503986 | + | 1.10357i | ||||
\(900\) | 16.0014 | − | 32.6707i | 0.0177794 | − | 0.0363008i | ||||
\(901\) | −381.987 | − | 440.837i | −0.423959 | − | 0.489275i | ||||
\(902\) | −1384.64 | + | 889.856i | −1.53508 | + | 0.986537i | ||||
\(903\) | 1147.90 | + | 994.663i | 1.27121 | + | 1.10151i | ||||
\(904\) | 114.290 | + | 16.4325i | 0.126428 | + | 0.0181775i | ||||
\(905\) | 1055.01 | + | 698.343i | 1.16575 | + | 0.771650i | ||||
\(906\) | 293.845 | + | 188.842i | 0.324332 | + | 0.208435i | ||||
\(907\) | −1.05174 | − | 7.31501i | −0.00115958 | − | 0.00806506i | 0.989233 | − | 0.146346i | \(-0.0467513\pi\) |
−0.990393 | + | 0.138281i | \(0.955842\pi\) | |||||||
\(908\) | −113.443 | − | 248.406i | −0.124938 | − | 0.273575i | ||||
\(909\) | 43.4652 | + | 95.1756i | 0.0478165 | + | 0.104704i | ||||
\(910\) | 601.375 | + | 535.498i | 0.660851 | + | 0.588460i | ||||
\(911\) | 156.342 | − | 243.273i | 0.171616 | − | 0.267040i | −0.744782 | − | 0.667308i | \(-0.767447\pi\) |
0.916398 | + | 0.400268i | \(0.131083\pi\) | |||||||
\(912\) | −120.773 | + | 35.4620i | −0.132426 | + | 0.0388838i | ||||
\(913\) | −136.630 | − | 19.6445i | −0.149650 | − | 0.0215164i | ||||
\(914\) | −367.801 | − | 318.701i | −0.402408 | − | 0.348688i | ||||
\(915\) | 484.657 | − | 1571.67i | 0.529680 | − | 1.71767i | ||||
\(916\) | 381.452 | − | 330.530i | 0.416432 | − | 0.360841i | ||||
\(917\) | −212.021 | − | 62.2549i | −0.231211 | − | 0.0678898i | ||||
\(918\) | −129.422 | + | 283.394i | −0.140982 | + | 0.308709i | ||||
\(919\) | − | 1674.09i | − | 1.82164i | −0.412801 | − | 0.910821i | \(-0.635450\pi\) | ||
0.412801 | − | 0.910821i | \(-0.364550\pi\) | |||||||
\(920\) | 128.507 | + | 298.807i | 0.139682 | + | 0.324791i | ||||
\(921\) | −85.5213 | −0.0928570 | ||||||||
\(922\) | 395.243 | + | 180.501i | 0.428680 | + | 0.195772i | ||||
\(923\) | 284.737 | − | 969.725i | 0.308491 | − | 1.05062i | ||||
\(924\) | −429.491 | − | 495.659i | −0.464817 | − | 0.536428i | ||||
\(925\) | −262.772 | − | 619.165i | −0.284077 | − | 0.669367i | ||||
\(926\) | 836.985 | − | 965.933i | 0.903872 | − | 1.04312i | ||||
\(927\) | 1.91577 | − | 13.3245i | 0.00206663 | − | 0.0143738i | ||||
\(928\) | −72.4537 | − | 246.755i | −0.0780751 | − | 0.265900i | ||||
\(929\) | −1017.73 | − | 654.055i | −1.09551 | − | 0.704042i | −0.137421 | − | 0.990513i | \(-0.543881\pi\) |
−0.958089 | + | 0.286471i | \(0.907518\pi\) | |||||||
\(930\) | 364.392 | + | 324.475i | 0.391819 | + | 0.348898i | ||||
\(931\) | −18.9291 | + | 8.64464i | −0.0203320 | + | 0.00928532i | ||||
\(932\) | −104.059 | + | 47.5221i | −0.111651 | + | 0.0509894i | ||||
\(933\) | −1446.19 | + | 207.931i | −1.55005 | + | 0.222863i | ||||
\(934\) | 350.928 | − | 546.055i | 0.375726 | − | 0.584641i | ||||
\(935\) | −545.399 | − | 361.018i | −0.583315 | − | 0.386115i | ||||
\(936\) | −4.85974 | + | 33.8002i | −0.00519202 | + | 0.0361113i | ||||
\(937\) | 57.0371 | − | 65.8244i | 0.0608721 | − | 0.0702501i | −0.724497 | − | 0.689278i | \(-0.757928\pi\) |
0.785369 | + | 0.619028i | \(0.212473\pi\) | |||||||
\(938\) | 157.671 | + | 245.341i | 0.168093 | + | 0.261557i | ||||
\(939\) | −229.132 | + | 198.544i | −0.244017 | + | 0.211442i | ||||
\(940\) | −53.0408 | − | 120.425i | −0.0564264 | − | 0.128112i | ||||
\(941\) | −544.536 | − | 248.681i | −0.578678 | − | 0.264273i | 0.104501 | − | 0.994525i | \(-0.466676\pi\) |
−0.683178 | + | 0.730251i | \(0.739403\pi\) | |||||||
\(942\) | 129.942 | 0.137943 | ||||||||
\(943\) | 1347.83 | + | 882.906i | 1.42930 | + | 0.936274i | ||||
\(944\) | −204.044 | −0.216148 | ||||||||
\(945\) | 924.730 | − | 257.998i | 0.978550 | − | 0.273014i | ||||
\(946\) | −1734.70 | − | 509.353i | −1.83372 | − | 0.538429i | ||||
\(947\) | −102.013 | + | 88.3947i | −0.107722 | + | 0.0933419i | −0.707057 | − | 0.707157i | \(-0.749977\pi\) |
0.599334 | + | 0.800499i | \(0.295432\pi\) | |||||||
\(948\) | −420.280 | + | 270.097i | −0.443333 | + | 0.284913i | ||||
\(949\) | 609.736 | − | 703.673i | 0.642503 | − | 0.741489i | ||||
\(950\) | 368.066 | + | 118.973i | 0.387438 | + | 0.125235i | ||||
\(951\) | −918.034 | + | 269.559i | −0.965336 | + | 0.283448i | ||||
\(952\) | −82.6313 | + | 128.577i | −0.0867976 | + | 0.135060i | ||||
\(953\) | 99.1806 | + | 689.816i | 0.104072 | + | 0.723837i | 0.973319 | + | 0.229458i | \(0.0736953\pi\) |
−0.869247 | + | 0.494379i | \(0.835396\pi\) | |||||||
\(954\) | −69.3378 | + | 31.6655i | −0.0726811 | + | 0.0331923i | ||||
\(955\) | −498.518 | + | 1053.67i | −0.522008 | + | 1.10332i | ||||
\(956\) | 128.613 | + | 894.521i | 0.134532 | + | 0.935691i | ||||
\(957\) | 1827.47 | + | 1174.44i | 1.90958 | + | 1.22721i | ||||
\(958\) | −900.682 | + | 264.464i | −0.940169 | + | 0.276059i | ||||
\(959\) | −116.010 | + | 806.869i | −0.120970 | + | 0.841365i | ||||
\(960\) | −115.037 | − | 1.55534i | −0.119830 | − | 0.00162015i | ||||
\(961\) | −324.249 | + | 208.382i | −0.337408 | + | 0.216839i | ||||
\(962\) | 413.457 | + | 477.155i | 0.429789 | + | 0.496003i | ||||
\(963\) | −99.8169 | − | 29.3089i | −0.103652 | − | 0.0304350i | ||||
\(964\) | −238.091 | − | 108.732i | −0.246982 | − | 0.112793i | ||||
\(965\) | −545.389 | − | 646.879i | −0.565170 | − | 0.670341i | ||||
\(966\) | −271.797 | + | 581.669i | −0.281363 | + | 0.602142i | ||||
\(967\) | − | 343.640i | − | 0.355367i | −0.984088 | − | 0.177683i | \(-0.943140\pi\) | ||
0.984088 | − | 0.177683i | \(-0.0568603\pi\) | |||||||
\(968\) | 398.799 | + | 182.125i | 0.411983 | + | 0.188146i | ||||
\(969\) | −237.738 | − | 69.8061i | −0.245343 | − | 0.0720393i | ||||
\(970\) | 151.689 | − | 962.462i | 0.156380 | − | 0.992228i | ||||
\(971\) | 539.791 | + | 839.931i | 0.555912 | + | 0.865016i | 0.999513 | − | 0.0312083i | \(-0.00993552\pi\) |
−0.443601 | + | 0.896225i | \(0.646299\pi\) | |||||||
\(972\) | 59.2358 | + | 51.3282i | 0.0609422 | + | 0.0528067i | ||||
\(973\) | 66.4176 | − | 461.944i | 0.0682606 | − | 0.474763i | ||||
\(974\) | 519.807 | − | 152.629i | 0.533682 | − | 0.156703i | ||||
\(975\) | −805.440 | + | 880.269i | −0.826093 | + | 0.902840i | ||||
\(976\) | 452.811 | − | 65.1044i | 0.463945 | − | 0.0667053i | ||||
\(977\) | −405.712 | − | 888.385i | −0.415263 | − | 0.909299i | −0.995492 | − | 0.0948456i | \(-0.969764\pi\) |
0.580229 | − | 0.814453i | \(-0.302963\pi\) | |||||||
\(978\) | 153.703 | − | 70.1939i | 0.157161 | − | 0.0717729i | ||||
\(979\) | −215.127 | − | 1496.24i | −0.219742 | − | 1.52834i | ||||
\(980\) | −18.8614 | + | 2.45209i | −0.0192464 | + | 0.00250213i | ||||
\(981\) | 9.44018 | + | 32.1503i | 0.00962302 | + | 0.0327730i | ||||
\(982\) | −778.102 | − | 111.874i | −0.792364 | − | 0.113925i | ||||
\(983\) | 898.265 | − | 1036.65i | 0.913800 | − | 1.05458i | −0.0845074 | − | 0.996423i | \(-0.526932\pi\) |
0.998307 | − | 0.0581585i | \(-0.0185229\pi\) | |||||||
\(984\) | −479.431 | + | 308.112i | −0.487227 | + | 0.313122i | ||||
\(985\) | −257.980 | + | 1636.87i | −0.261908 | + | 1.66180i | ||||
\(986\) | 142.623 | − | 485.730i | 0.144648 | − | 0.492627i | ||||
\(987\) | 107.899 | − | 236.267i | 0.109321 | − | 0.239379i | ||||
\(988\) | −363.094 | −0.367504 | ||||||||
\(989\) | 236.583 | + | 1753.97i | 0.239215 | + | 1.77348i | ||||
\(990\) | −65.3459 | + | 55.0936i | −0.0660059 | + | 0.0556501i | ||||
\(991\) | −238.395 | + | 522.013i | −0.240560 | + | 0.526754i | −0.990948 | − | 0.134244i | \(-0.957139\pi\) |
0.750388 | + | 0.660998i | \(0.229867\pi\) | |||||||
\(992\) | −38.2348 | + | 130.216i | −0.0385432 | + | 0.131266i | ||||
\(993\) | −899.554 | + | 779.468i | −0.905895 | + | 0.784963i | ||||
\(994\) | −319.590 | − | 497.292i | −0.321519 | − | 0.500293i | ||||
\(995\) | 514.964 | + | 6.96252i | 0.517552 | + | 0.00699751i | ||||
\(996\) | −47.3082 | − | 6.80189i | −0.0474981 | − | 0.00682920i | ||||
\(997\) | 248.149 | + | 845.119i | 0.248896 | + | 0.847662i | 0.985258 | + | 0.171074i | \(0.0547237\pi\) |
−0.736362 | + | 0.676587i | \(0.763458\pi\) | |||||||
\(998\) | 659.544 | − | 1026.27i | 0.660865 | − | 1.02833i | ||||
\(999\) | 745.085 | − | 107.127i | 0.745831 | − | 0.107234i |
(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 | 230.3.i.a.109.21 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.4 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.4 | ✓ | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.21 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.4 | ✓ | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.19.21 | yes | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.109.4 | yes | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.109.21 | yes | 240 | 1.1 | even | 1 | trivial |