Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,3,Mod(2,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.76840462631\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 102.37 | ||
Character | \(\chi\) | \(=\) | 175.102 |
Dual form | 175.3.w.a.163.37 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25970 | + | 3.28163i | 0.629851 | + | 1.64082i | 0.760461 | + | 0.649384i | \(0.224973\pi\) |
−0.130610 | + | 0.991434i | \(0.541694\pi\) | |||||||
\(3\) | 4.62972 | + | 0.242633i | 1.54324 | + | 0.0808777i | 0.804842 | − | 0.593489i | \(-0.202250\pi\) |
0.738396 | + | 0.674367i | \(0.235583\pi\) | |||||||
\(4\) | −6.20970 | + | 5.59124i | −1.55242 | + | 1.39781i | ||||
\(5\) | −4.99868 | − | 0.114674i | −0.999737 | − | 0.0229348i | ||||
\(6\) | 5.03583 | + | 15.4987i | 0.839304 | + | 2.58311i | ||||
\(7\) | −1.41942 | + | 6.85458i | −0.202774 | + | 0.979225i | ||||
\(8\) | −13.6428 | − | 6.95137i | −1.70535 | − | 0.868922i | ||||
\(9\) | 12.4247 | + | 1.30589i | 1.38052 | + | 0.145099i | ||||
\(10\) | −5.92053 | − | 16.5483i | −0.592053 | − | 1.65483i | ||||
\(11\) | −1.35734 | − | 12.9142i | −0.123394 | − | 1.17402i | −0.864501 | − | 0.502632i | \(-0.832365\pi\) |
0.741106 | − | 0.671388i | \(-0.234301\pi\) | |||||||
\(12\) | −30.1058 | + | 24.3792i | −2.50881 | + | 2.03160i | ||||
\(13\) | 19.1286 | − | 3.02967i | 1.47143 | − | 0.233051i | 0.631342 | − | 0.775505i | \(-0.282505\pi\) |
0.840086 | + | 0.542454i | \(0.182505\pi\) | |||||||
\(14\) | −24.2823 | + | 3.97670i | −1.73445 | + | 0.284050i | ||||
\(15\) | −23.1147 | − | 1.74375i | −1.54098 | − | 0.116250i | ||||
\(16\) | 2.13221 | − | 20.2867i | 0.133263 | − | 1.26792i | ||||
\(17\) | 12.3899 | + | 19.0788i | 0.728818 | + | 1.12228i | 0.987698 | + | 0.156371i | \(0.0499797\pi\) |
−0.258881 | + | 0.965909i | \(0.583354\pi\) | |||||||
\(18\) | 11.3660 | + | 42.4183i | 0.631442 | + | 2.35657i | ||||
\(19\) | −11.2882 | − | 10.1640i | −0.594118 | − | 0.534946i | 0.316287 | − | 0.948663i | \(-0.397564\pi\) |
−0.910406 | + | 0.413717i | \(0.864230\pi\) | |||||||
\(20\) | 31.6815 | − | 27.2367i | 1.58407 | − | 1.36184i | ||||
\(21\) | −8.23466 | + | 31.3903i | −0.392127 | + | 1.49478i | ||||
\(22\) | 40.6699 | − | 20.7223i | 1.84863 | − | 0.941925i | ||||
\(23\) | 16.9746 | − | 6.51595i | 0.738027 | − | 0.283302i | 0.0398289 | − | 0.999207i | \(-0.487319\pi\) |
0.698198 | + | 0.715904i | \(0.253985\pi\) | |||||||
\(24\) | −61.4758 | − | 35.4931i | −2.56149 | − | 1.47888i | ||||
\(25\) | 24.9737 | + | 1.14644i | 0.998948 | + | 0.0458575i | ||||
\(26\) | 34.0385 | + | 58.9565i | 1.30917 | + | 2.26756i | ||||
\(27\) | 15.9950 | + | 2.53336i | 0.592408 | + | 0.0938283i | ||||
\(28\) | −29.5114 | − | 50.5012i | −1.05398 | − | 1.80361i | ||||
\(29\) | 8.58100 | + | 2.78814i | 0.295897 | + | 0.0961426i | 0.453203 | − | 0.891407i | \(-0.350281\pi\) |
−0.157307 | + | 0.987550i | \(0.550281\pi\) | |||||||
\(30\) | −23.3952 | − | 78.0505i | −0.779840 | − | 2.60168i | ||||
\(31\) | −8.84588 | − | 1.88025i | −0.285351 | − | 0.0606532i | 0.0630125 | − | 0.998013i | \(-0.479929\pi\) |
−0.348364 | + | 0.937360i | \(0.613263\pi\) | |||||||
\(32\) | 10.0995 | − | 2.70614i | 0.315608 | − | 0.0845670i | ||||
\(33\) | −3.15067 | − | 60.1185i | −0.0954750 | − | 1.82177i | ||||
\(34\) | −47.0020 | + | 64.6927i | −1.38241 | + | 1.90273i | ||||
\(35\) | 7.88128 | − | 34.1011i | 0.225179 | − | 0.974317i | ||||
\(36\) | −84.4552 | + | 61.3603i | −2.34598 | + | 1.70445i | ||||
\(37\) | 19.2079 | − | 15.5542i | 0.519132 | − | 0.420385i | −0.333615 | − | 0.942709i | \(-0.608268\pi\) |
0.852747 | + | 0.522325i | \(0.174935\pi\) | |||||||
\(38\) | 19.1347 | − | 49.8475i | 0.503544 | − | 1.31178i | ||||
\(39\) | 89.2949 | − | 9.38527i | 2.28961 | − | 0.240648i | ||||
\(40\) | 67.3991 | + | 36.3122i | 1.68498 | + | 0.907805i | ||||
\(41\) | −59.3313 | − | 43.1067i | −1.44710 | − | 1.05138i | −0.986497 | − | 0.163778i | \(-0.947632\pi\) |
−0.460606 | − | 0.887604i | \(-0.652368\pi\) | |||||||
\(42\) | −113.385 | + | 12.5193i | −2.69964 | + | 0.298079i | ||||
\(43\) | 8.13714 | − | 8.13714i | 0.189236 | − | 0.189236i | −0.606130 | − | 0.795366i | \(-0.707279\pi\) |
0.795366 | + | 0.606130i | \(0.207279\pi\) | |||||||
\(44\) | 80.6351 | + | 72.6042i | 1.83262 | + | 1.65009i | ||||
\(45\) | −61.9574 | − | 7.95251i | −1.37683 | − | 0.176722i | ||||
\(46\) | 42.7659 | + | 47.4964i | 0.929694 | + | 1.03253i | ||||
\(47\) | 9.34361 | + | 6.06781i | 0.198800 | + | 0.129102i | 0.640200 | − | 0.768208i | \(-0.278851\pi\) |
−0.441400 | + | 0.897310i | \(0.645518\pi\) | |||||||
\(48\) | 14.7938 | − | 93.4042i | 0.308203 | − | 1.94592i | ||||
\(49\) | −44.9705 | − | 19.4591i | −0.917765 | − | 0.397124i | ||||
\(50\) | 27.6972 | + | 83.3987i | 0.553944 | + | 1.66797i | ||||
\(51\) | 52.7326 | + | 91.3355i | 1.03397 | + | 1.79089i | ||||
\(52\) | −101.843 | + | 125.766i | −1.95852 | + | 2.41857i | ||||
\(53\) | 21.0986 | + | 1.10573i | 0.398087 | + | 0.0208628i | 0.250329 | − | 0.968161i | \(-0.419461\pi\) |
0.147758 | + | 0.989024i | \(0.452794\pi\) | |||||||
\(54\) | 11.8354 | + | 55.6811i | 0.219174 | + | 1.03113i | ||||
\(55\) | 5.30398 | + | 64.7097i | 0.0964360 | + | 1.17654i | ||||
\(56\) | 67.0137 | − | 83.6490i | 1.19667 | − | 1.49373i | ||||
\(57\) | −49.7952 | − | 49.7952i | −0.873601 | − | 0.873601i | ||||
\(58\) | 1.65986 | + | 31.6719i | 0.0286182 | + | 0.546068i | ||||
\(59\) | −25.0947 | − | 56.3636i | −0.425334 | − | 0.955315i | −0.991389 | − | 0.130948i | \(-0.958198\pi\) |
0.566055 | − | 0.824367i | \(-0.308469\pi\) | |||||||
\(60\) | 153.285 | − | 118.411i | 2.55475 | − | 1.97352i | ||||
\(61\) | −11.4231 | − | 5.08589i | −0.187264 | − | 0.0833752i | 0.310963 | − | 0.950422i | \(-0.399349\pi\) |
−0.498227 | + | 0.867047i | \(0.666015\pi\) | |||||||
\(62\) | −4.97288 | − | 31.3975i | −0.0802077 | − | 0.506411i | ||||
\(63\) | −26.5872 | + | 83.3124i | −0.422019 | + | 1.32242i | ||||
\(64\) | −26.3567 | − | 36.2768i | −0.411823 | − | 0.566825i | ||||
\(65\) | −95.9651 | + | 12.9508i | −1.47639 | + | 0.199243i | ||||
\(66\) | 193.318 | − | 86.0707i | 2.92906 | − | 1.30410i | ||||
\(67\) | −0.328467 | − | 0.505795i | −0.00490250 | − | 0.00754918i | 0.836211 | − | 0.548408i | \(-0.184766\pi\) |
−0.841113 | + | 0.540859i | \(0.818099\pi\) | |||||||
\(68\) | −183.612 | − | 49.1986i | −2.70017 | − | 0.723508i | ||||
\(69\) | 80.1687 | − | 26.0484i | 1.16186 | − | 0.377513i | ||||
\(70\) | 121.835 | − | 17.0937i | 1.74051 | − | 0.244196i | ||||
\(71\) | 10.8085 | − | 33.2653i | 0.152233 | − | 0.468525i | −0.845637 | − | 0.533758i | \(-0.820779\pi\) |
0.997870 | + | 0.0652335i | \(0.0207792\pi\) | |||||||
\(72\) | −160.430 | − | 104.185i | −2.22820 | − | 1.44701i | ||||
\(73\) | 92.2550 | + | 74.7067i | 1.26377 | + | 1.02338i | 0.998242 | + | 0.0592750i | \(0.0188789\pi\) |
0.265526 | + | 0.964104i | \(0.414454\pi\) | |||||||
\(74\) | 75.2395 | + | 43.4396i | 1.01675 | + | 0.587021i | ||||
\(75\) | 115.343 | + | 11.3671i | 1.53791 | + | 0.151562i | ||||
\(76\) | 126.926 | 1.67008 | ||||||||
\(77\) | 90.4481 | + | 9.02673i | 1.17465 | + | 0.117230i | ||||
\(78\) | 143.284 | + | 281.211i | 1.83697 | + | 3.60526i | ||||
\(79\) | 22.3656 | + | 105.222i | 0.283108 | + | 1.33192i | 0.857983 | + | 0.513678i | \(0.171718\pi\) |
−0.574874 | + | 0.818242i | \(0.694949\pi\) | |||||||
\(80\) | −12.9846 | + | 101.162i | −0.162308 | + | 1.26453i | ||||
\(81\) | −36.5434 | − | 7.76754i | −0.451153 | − | 0.0958956i | ||||
\(82\) | 66.7207 | − | 249.005i | 0.813667 | − | 3.03665i | ||||
\(83\) | −134.249 | − | 68.4030i | −1.61745 | − | 0.824133i | −0.999274 | − | 0.0380950i | \(-0.987871\pi\) |
−0.618178 | − | 0.786038i | \(-0.712129\pi\) | |||||||
\(84\) | −124.376 | − | 240.967i | −1.48067 | − | 2.86865i | ||||
\(85\) | −59.7454 | − | 96.7896i | −0.702887 | − | 1.13870i | ||||
\(86\) | 36.9535 | + | 16.4527i | 0.429692 | + | 0.191311i | ||||
\(87\) | 39.0511 | + | 14.9903i | 0.448863 | + | 0.172302i | ||||
\(88\) | −71.2536 | + | 185.622i | −0.809700 | + | 2.10934i | ||||
\(89\) | −2.18626 | + | 4.91042i | −0.0245647 | + | 0.0551733i | −0.925411 | − | 0.378965i | \(-0.876280\pi\) |
0.900846 | + | 0.434138i | \(0.142947\pi\) | |||||||
\(90\) | −51.9506 | − | 213.339i | −0.577229 | − | 2.37044i | ||||
\(91\) | −6.38440 | + | 135.419i | −0.0701583 | + | 1.48812i | ||||
\(92\) | −68.9751 | + | 135.371i | −0.749729 | + | 1.47143i | ||||
\(93\) | −40.4977 | − | 10.8513i | −0.435459 | − | 0.116681i | ||||
\(94\) | −8.14218 | + | 38.3059i | −0.0866189 | + | 0.407510i | ||||
\(95\) | 55.2608 | + | 52.1010i | 0.581693 | + | 0.548432i | ||||
\(96\) | 47.4143 | − | 10.0782i | 0.493899 | − | 0.104981i | ||||
\(97\) | −65.5523 | + | 33.4006i | −0.675797 | + | 0.344336i | −0.757976 | − | 0.652282i | \(-0.773812\pi\) |
0.0821798 | + | 0.996618i | \(0.473812\pi\) | |||||||
\(98\) | 7.20817 | − | 172.089i | 0.0735528 | − | 1.75601i | ||||
\(99\) | − | 162.228i | − | 1.63866i | ||||||
\(100\) | −161.489 | + | 132.515i | −1.61489 | + | 1.32515i | ||||
\(101\) | 48.4983 | − | 84.0016i | 0.480182 | − | 0.831699i | −0.519560 | − | 0.854434i | \(-0.673904\pi\) |
0.999742 | + | 0.0227351i | \(0.00723742\pi\) | |||||||
\(102\) | −233.302 | + | 288.104i | −2.28728 | + | 2.82455i | ||||
\(103\) | −87.7008 | + | 135.047i | −0.851465 | + | 1.31114i | 0.0973318 | + | 0.995252i | \(0.468969\pi\) |
−0.948796 | + | 0.315888i | \(0.897697\pi\) | |||||||
\(104\) | −282.028 | − | 91.6365i | −2.71181 | − | 0.881120i | ||||
\(105\) | 44.7622 | − | 155.966i | 0.426306 | − | 1.48539i | ||||
\(106\) | 22.9493 | + | 70.6308i | 0.216503 | + | 0.666328i | ||||
\(107\) | 14.1030 | − | 52.6331i | 0.131804 | − | 0.491898i | −0.868187 | − | 0.496237i | \(-0.834715\pi\) |
0.999991 | + | 0.00433927i | \(0.00138124\pi\) | |||||||
\(108\) | −113.489 | + | 73.7006i | −1.05082 | + | 0.682413i | ||||
\(109\) | 7.36583 | + | 16.5439i | 0.0675764 | + | 0.151779i | 0.944176 | − | 0.329441i | \(-0.106860\pi\) |
−0.876600 | + | 0.481220i | \(0.840194\pi\) | |||||||
\(110\) | −205.672 | + | 98.9207i | −1.86975 | + | 0.899279i | ||||
\(111\) | 92.7010 | − | 67.3512i | 0.835144 | − | 0.606768i | ||||
\(112\) | 136.030 | + | 43.4108i | 1.21455 | + | 0.387596i | ||||
\(113\) | −207.476 | + | 32.8610i | −1.83607 | + | 0.290805i | −0.975740 | − | 0.218930i | \(-0.929743\pi\) |
−0.860331 | + | 0.509736i | \(0.829743\pi\) | |||||||
\(114\) | 100.683 | − | 226.137i | 0.883181 | − | 1.98366i | ||||
\(115\) | −85.5980 | + | 30.6246i | −0.744331 | + | 0.266301i | ||||
\(116\) | −68.8746 | + | 30.6649i | −0.593746 | + | 0.264353i | ||||
\(117\) | 241.623 | − | 12.6629i | 2.06515 | − | 0.108230i | ||||
\(118\) | 153.353 | − | 153.353i | 1.29960 | − | 1.29960i | ||||
\(119\) | −148.363 | + | 57.8467i | −1.24675 | + | 0.486107i | ||||
\(120\) | 303.228 | + | 184.468i | 2.52690 | + | 1.53724i | ||||
\(121\) | −46.5786 | + | 9.90060i | −0.384947 | + | 0.0818231i | ||||
\(122\) | 2.30034 | − | 43.8931i | 0.0188553 | − | 0.359780i | ||||
\(123\) | −264.228 | − | 213.967i | −2.14819 | − | 1.73957i | ||||
\(124\) | 65.4432 | − | 37.7836i | 0.527768 | − | 0.304707i | ||||
\(125\) | −124.704 | − | 8.59452i | −0.997633 | − | 0.0687561i | ||||
\(126\) | −306.893 | + | 17.6994i | −2.43566 | + | 0.140471i | ||||
\(127\) | 89.4120 | + | 14.1615i | 0.704031 | + | 0.111508i | 0.498177 | − | 0.867075i | \(-0.334003\pi\) |
0.205854 | + | 0.978583i | \(0.434003\pi\) | |||||||
\(128\) | 108.624 | − | 167.267i | 0.848626 | − | 1.30677i | ||||
\(129\) | 39.6470 | − | 35.6983i | 0.307341 | − | 0.276731i | ||||
\(130\) | −163.387 | − | 298.608i | −1.25682 | − | 2.29699i | ||||
\(131\) | 73.1060 | − | 81.1924i | 0.558061 | − | 0.619789i | −0.396417 | − | 0.918070i | \(-0.629747\pi\) |
0.954478 | + | 0.298281i | \(0.0964133\pi\) | |||||||
\(132\) | 355.701 | + | 355.701i | 2.69471 | + | 2.69471i | ||||
\(133\) | 85.6926 | − | 62.9492i | 0.644305 | − | 0.473302i | ||||
\(134\) | 1.24606 | − | 1.71506i | 0.00929899 | − | 0.0127990i | ||||
\(135\) | −79.6636 | − | 14.4977i | −0.590101 | − | 0.107390i | ||||
\(136\) | −36.4097 | − | 346.415i | −0.267719 | − | 2.54717i | ||||
\(137\) | 39.2828 | + | 15.0792i | 0.286735 | + | 0.110067i | 0.497485 | − | 0.867473i | \(-0.334257\pi\) |
−0.210749 | + | 0.977540i | \(0.567590\pi\) | |||||||
\(138\) | 186.470 | + | 230.271i | 1.35123 | + | 1.66863i | ||||
\(139\) | 22.1489 | + | 30.4853i | 0.159344 | + | 0.219319i | 0.881223 | − | 0.472701i | \(-0.156721\pi\) |
−0.721878 | + | 0.692020i | \(0.756721\pi\) | |||||||
\(140\) | 141.727 | + | 255.824i | 1.01234 | + | 1.82731i | ||||
\(141\) | 41.7860 | + | 30.3593i | 0.296355 | + | 0.215314i | ||||
\(142\) | 122.780 | − | 6.43463i | 0.864648 | − | 0.0453143i | ||||
\(143\) | −65.0897 | − | 242.918i | −0.455173 | − | 1.69873i | ||||
\(144\) | 52.9842 | − | 249.271i | 0.367946 | − | 1.73105i | ||||
\(145\) | −42.5740 | − | 14.9210i | −0.293614 | − | 0.102904i | ||||
\(146\) | −128.946 | + | 396.855i | −0.883193 | + | 2.71819i | ||||
\(147\) | −203.479 | − | 101.001i | −1.38421 | − | 0.687084i | ||||
\(148\) | −32.3077 | + | 203.983i | −0.218295 | + | 1.37826i | ||||
\(149\) | 15.0723 | − | 8.70202i | 0.101157 | − | 0.0584028i | −0.448568 | − | 0.893749i | \(-0.648066\pi\) |
0.549725 | + | 0.835346i | \(0.314733\pi\) | |||||||
\(150\) | 107.995 | + | 392.833i | 0.719966 | + | 2.61888i | ||||
\(151\) | 36.3877 | − | 63.0254i | 0.240978 | − | 0.417387i | −0.720015 | − | 0.693959i | \(-0.755865\pi\) |
0.960993 | + | 0.276572i | \(0.0891984\pi\) | |||||||
\(152\) | 83.3501 | + | 217.134i | 0.548356 | + | 1.42852i | ||||
\(153\) | 129.026 | + | 253.228i | 0.843307 | + | 1.65508i | ||||
\(154\) | 84.3152 | + | 308.189i | 0.547501 | + | 2.00123i | ||||
\(155\) | 44.0022 | + | 10.4132i | 0.283885 | + | 0.0671817i | ||||
\(156\) | −502.019 | + | 557.549i | −3.21807 | + | 3.57403i | ||||
\(157\) | −73.6430 | + | 19.7326i | −0.469064 | + | 0.125685i | −0.485606 | − | 0.874178i | \(-0.661401\pi\) |
0.0165420 | + | 0.999863i | \(0.494734\pi\) | |||||||
\(158\) | −317.125 | + | 205.944i | −2.00712 | + | 1.30344i | ||||
\(159\) | 97.4122 | + | 10.2384i | 0.612655 | + | 0.0643927i | ||||
\(160\) | −50.7944 | + | 12.3690i | −0.317465 | + | 0.0773064i | ||||
\(161\) | 20.5699 | + | 125.603i | 0.127764 | + | 0.780142i | ||||
\(162\) | −20.5436 | − | 129.707i | −0.126812 | − | 0.800660i | ||||
\(163\) | 3.39972 | + | 4.19830i | 0.0208572 | + | 0.0257564i | 0.787468 | − | 0.616356i | \(-0.211392\pi\) |
−0.766611 | + | 0.642112i | \(0.778058\pi\) | |||||||
\(164\) | 609.449 | − | 64.0557i | 3.71615 | − | 0.390583i | ||||
\(165\) | 8.85521 | + | 300.875i | 0.0536679 | + | 1.82348i | ||||
\(166\) | 55.3607 | − | 526.722i | 0.333498 | − | 3.17302i | ||||
\(167\) | 90.0059 | − | 176.647i | 0.538958 | − | 1.05776i | −0.447582 | − | 0.894243i | \(-0.647715\pi\) |
0.986540 | − | 0.163521i | \(-0.0522852\pi\) | |||||||
\(168\) | 330.550 | − | 371.011i | 1.96756 | − | 2.20840i | ||||
\(169\) | 195.994 | − | 63.6824i | 1.15973 | − | 0.376819i | ||||
\(170\) | 242.367 | − | 317.988i | 1.42569 | − | 1.87052i | ||||
\(171\) | −126.980 | − | 141.026i | −0.742573 | − | 0.824711i | ||||
\(172\) | −5.03250 | + | 96.0258i | −0.0292587 | + | 0.558290i | ||||
\(173\) | −153.165 | + | 58.7945i | −0.885347 | + | 0.339853i | −0.758193 | − | 0.652030i | \(-0.773918\pi\) |
−0.127154 | + | 0.991883i | \(0.540584\pi\) | |||||||
\(174\) | 147.035i | 0.845027i | ||||||||
\(175\) | −43.3066 | + | 169.557i | −0.247466 | + | 0.968897i | ||||
\(176\) | −264.881 | −1.50500 | ||||||||
\(177\) | −102.506 | − | 267.036i | −0.579128 | − | 1.50868i | ||||
\(178\) | −18.8682 | − | 0.988842i | −0.106001 | − | 0.00555529i | ||||
\(179\) | 216.298 | − | 194.756i | 1.20837 | − | 1.08802i | 0.214584 | − | 0.976706i | \(-0.431161\pi\) |
0.993785 | − | 0.111315i | \(-0.0355062\pi\) | |||||||
\(180\) | 429.201 | − | 297.036i | 2.38445 | − | 1.65020i | ||||
\(181\) | 41.7061 | + | 128.358i | 0.230421 | + | 0.709162i | 0.997696 | + | 0.0678440i | \(0.0216120\pi\) |
−0.767275 | + | 0.641318i | \(0.778388\pi\) | |||||||
\(182\) | −452.437 | + | 149.636i | −2.48592 | + | 0.822174i | ||||
\(183\) | −51.6517 | − | 26.3178i | −0.282250 | − | 0.143813i | ||||
\(184\) | −276.877 | − | 29.1009i | −1.50477 | − | 0.158157i | ||||
\(185\) | −97.7978 | + | 75.5481i | −0.528637 | + | 0.408368i | ||||
\(186\) | −15.4049 | − | 146.568i | −0.0828222 | − | 0.788000i | ||||
\(187\) | 229.570 | − | 185.902i | 1.22765 | − | 0.994129i | ||||
\(188\) | −91.9476 | + | 14.5631i | −0.489083 | + | 0.0774631i | ||||
\(189\) | −40.0688 | + | 106.043i | −0.212004 | + | 0.561075i | ||||
\(190\) | −101.364 | + | 246.978i | −0.533496 | + | 1.29988i | ||||
\(191\) | −20.1712 | + | 191.916i | −0.105608 | + | 1.00480i | 0.805491 | + | 0.592608i | \(0.201902\pi\) |
−0.911099 | + | 0.412187i | \(0.864765\pi\) | |||||||
\(192\) | −113.222 | − | 174.346i | −0.589697 | − | 0.908054i | ||||
\(193\) | 39.9544 | + | 149.112i | 0.207018 | + | 0.772601i | 0.988825 | + | 0.149081i | \(0.0476314\pi\) |
−0.781807 | + | 0.623520i | \(0.785702\pi\) | |||||||
\(194\) | −192.185 | − | 173.044i | −0.990643 | − | 0.891979i | ||||
\(195\) | −447.433 | + | 36.6742i | −2.29453 | + | 0.188073i | ||||
\(196\) | 388.054 | − | 130.606i | 1.97986 | − | 0.666356i | ||||
\(197\) | 119.683 | − | 60.9815i | 0.607527 | − | 0.309551i | −0.123029 | − | 0.992403i | \(-0.539261\pi\) |
0.730556 | + | 0.682852i | \(0.239261\pi\) | |||||||
\(198\) | 532.372 | − | 204.358i | 2.68875 | − | 1.03211i | ||||
\(199\) | −297.478 | − | 171.749i | −1.49486 | − | 0.863059i | −0.494880 | − | 0.868961i | \(-0.664788\pi\) |
−0.999983 | + | 0.00590177i | \(0.998121\pi\) | |||||||
\(200\) | −332.743 | − | 189.242i | −1.66371 | − | 0.946211i | ||||
\(201\) | −1.39799 | − | 2.42139i | −0.00695516 | − | 0.0120467i | ||||
\(202\) | 336.756 | + | 53.3369i | 1.66711 | + | 0.264044i | ||||
\(203\) | −31.2916 | + | 54.8616i | −0.154146 | + | 0.270254i | ||||
\(204\) | −838.132 | − | 272.326i | −4.10849 | − | 1.33493i | ||||
\(205\) | 291.635 | + | 222.280i | 1.42261 | + | 1.08429i | ||||
\(206\) | −553.653 | − | 117.683i | −2.68764 | − | 0.571275i | ||||
\(207\) | 219.414 | − | 58.7917i | 1.05997 | − | 0.284018i | ||||
\(208\) | −20.6756 | − | 394.515i | −0.0994021 | − | 1.89671i | ||||
\(209\) | −115.938 | + | 159.575i | −0.554726 | + | 0.763515i | ||||
\(210\) | 568.211 | − | 49.5778i | 2.70577 | − | 0.236085i | ||||
\(211\) | −2.64385 | + | 1.92087i | −0.0125301 | + | 0.00910366i | −0.594033 | − | 0.804441i | \(-0.702465\pi\) |
0.581503 | + | 0.813545i | \(0.302465\pi\) | |||||||
\(212\) | −137.198 | + | 111.101i | −0.647162 | + | 0.524062i | ||||
\(213\) | 58.1117 | − | 151.386i | 0.272825 | − | 0.710733i | ||||
\(214\) | 190.488 | − | 20.0211i | 0.890132 | − | 0.0935566i | ||||
\(215\) | −41.6081 | + | 39.7419i | −0.193526 | + | 0.184846i | ||||
\(216\) | −200.607 | − | 145.750i | −0.928737 | − | 0.674767i | ||||
\(217\) | 25.4444 | − | 57.9659i | 0.117255 | − | 0.267124i | ||||
\(218\) | −45.0123 | + | 45.0123i | −0.206479 | + | 0.206479i | ||||
\(219\) | 408.988 | + | 368.255i | 1.86753 | + | 1.68153i | ||||
\(220\) | −394.744 | − | 372.172i | −1.79429 | − | 1.69169i | ||||
\(221\) | 294.803 | + | 327.412i | 1.33395 | + | 1.48150i | ||||
\(222\) | 337.798 | + | 219.368i | 1.52161 | + | 0.988146i | ||||
\(223\) | −37.6820 | + | 237.914i | −0.168977 | + | 1.06688i | 0.746757 | + | 0.665097i | \(0.231610\pi\) |
−0.915734 | + | 0.401784i | \(0.868390\pi\) | |||||||
\(224\) | 4.21408 | + | 73.0688i | 0.0188128 | + | 0.326200i | ||||
\(225\) | 308.793 | + | 46.8570i | 1.37242 | + | 0.208253i | ||||
\(226\) | −369.196 | − | 639.466i | −1.63361 | − | 2.82949i | ||||
\(227\) | −68.4391 | + | 84.5153i | −0.301494 | + | 0.372314i | −0.905268 | − | 0.424842i | \(-0.860330\pi\) |
0.603774 | + | 0.797156i | \(0.293663\pi\) | |||||||
\(228\) | 587.630 | + | 30.7964i | 2.57733 | + | 0.135072i | ||||
\(229\) | 2.83163 | + | 13.3218i | 0.0123652 | + | 0.0581736i | 0.983898 | − | 0.178733i | \(-0.0571998\pi\) |
−0.971532 | + | 0.236907i | \(0.923866\pi\) | |||||||
\(230\) | −208.327 | − | 242.324i | −0.905769 | − | 1.05358i | ||||
\(231\) | 416.559 | + | 63.7369i | 1.80328 | + | 0.275917i | ||||
\(232\) | −97.6878 | − | 97.6878i | −0.421068 | − | 0.421068i | ||||
\(233\) | −0.486342 | − | 9.27995i | −0.00208730 | − | 0.0398281i | 0.997387 | − | 0.0722396i | \(-0.0230146\pi\) |
−0.999475 | + | 0.0324115i | \(0.989681\pi\) | |||||||
\(234\) | 345.928 | + | 776.967i | 1.47832 | + | 3.32037i | ||||
\(235\) | −46.0099 | − | 31.4025i | −0.195787 | − | 0.133628i | ||||
\(236\) | 470.973 | + | 209.691i | 1.99565 | + | 0.888520i | ||||
\(237\) | 78.0159 | + | 492.573i | 0.329181 | + | 2.07837i | ||||
\(238\) | −376.725 | − | 414.005i | −1.58288 | − | 1.73952i | ||||
\(239\) | 224.285 | + | 308.702i | 0.938432 | + | 1.29164i | 0.956478 | + | 0.291804i | \(0.0942554\pi\) |
−0.0180461 | + | 0.999837i | \(0.505745\pi\) | |||||||
\(240\) | −84.6604 | + | 465.201i | −0.352752 | + | 1.93834i | ||||
\(241\) | 55.4828 | − | 24.7025i | 0.230219 | − | 0.102500i | −0.288385 | − | 0.957514i | \(-0.593118\pi\) |
0.518604 | + | 0.855014i | \(0.326452\pi\) | |||||||
\(242\) | −91.1653 | − | 140.382i | −0.376716 | − | 0.580092i | ||||
\(243\) | −308.084 | − | 82.5509i | −1.26784 | − | 0.339716i | ||||
\(244\) | 99.3704 | − | 32.2874i | 0.407256 | − | 0.132325i | ||||
\(245\) | 222.562 | + | 102.427i | 0.908416 | + | 0.418068i | ||||
\(246\) | 369.315 | − | 1136.63i | 1.50128 | − | 4.62046i | ||||
\(247\) | −246.721 | − | 160.223i | −0.998872 | − | 0.648675i | ||||
\(248\) | 107.613 | + | 87.1430i | 0.433922 | + | 0.351383i | ||||
\(249\) | −604.936 | − | 349.260i | −2.42946 | − | 1.40265i | ||||
\(250\) | −128.886 | − | 420.060i | −0.515544 | − | 1.68024i | ||||
\(251\) | −210.427 | −0.838354 | −0.419177 | − | 0.907904i | \(-0.637681\pi\) | ||||
−0.419177 | + | 0.907904i | \(0.637681\pi\) | |||||||
\(252\) | −300.721 | − | 666.001i | −1.19334 | − | 2.64286i | ||||
\(253\) | −107.189 | − | 210.370i | −0.423671 | − | 0.831500i | ||||
\(254\) | 66.1596 | + | 311.257i | 0.260471 | + | 1.22542i | ||||
\(255\) | −253.120 | − | 462.604i | −0.992626 | − | 1.81413i | ||||
\(256\) | 510.299 | + | 108.467i | 1.99335 | + | 0.423701i | ||||
\(257\) | −30.2580 | + | 112.925i | −0.117736 | + | 0.439395i | −0.999477 | − | 0.0323379i | \(-0.989705\pi\) |
0.881741 | + | 0.471733i | \(0.156371\pi\) | |||||||
\(258\) | 167.092 | + | 85.1377i | 0.647644 | + | 0.329991i | ||||
\(259\) | 79.3536 | + | 153.740i | 0.306385 | + | 0.593590i | ||||
\(260\) | 523.503 | − | 616.984i | 2.01347 | − | 2.37302i | ||||
\(261\) | 102.975 | + | 45.8476i | 0.394541 | + | 0.175661i | ||||
\(262\) | 358.536 | + | 137.629i | 1.36846 | + | 0.525301i | ||||
\(263\) | 57.8974 | − | 150.828i | 0.220142 | − | 0.573490i | −0.778382 | − | 0.627791i | \(-0.783959\pi\) |
0.998525 | + | 0.0543002i | \(0.0172928\pi\) | |||||||
\(264\) | −374.922 | + | 842.088i | −1.42016 | + | 3.18973i | ||||
\(265\) | −105.338 | − | 7.94666i | −0.397504 | − | 0.0299874i | ||||
\(266\) | 314.523 | + | 201.915i | 1.18242 | + | 0.759077i | ||||
\(267\) | −11.3132 | + | 22.2034i | −0.0423715 | + | 0.0831587i | ||||
\(268\) | 4.86771 | + | 1.30430i | 0.0181631 | + | 0.00486678i | ||||
\(269\) | −33.7958 | + | 158.997i | −0.125635 | + | 0.591067i | 0.869616 | + | 0.493728i | \(0.164366\pi\) |
−0.995251 | + | 0.0973385i | \(0.968967\pi\) | |||||||
\(270\) | −52.7762 | − | 279.690i | −0.195467 | − | 1.03589i | ||||
\(271\) | −218.499 | + | 46.4435i | −0.806271 | + | 0.171378i | −0.592568 | − | 0.805521i | \(-0.701886\pi\) |
−0.213703 | + | 0.976899i | \(0.568552\pi\) | |||||||
\(272\) | 413.463 | − | 210.670i | 1.52008 | − | 0.774521i | ||||
\(273\) | −62.4150 | + | 625.400i | −0.228626 | + | 2.29084i | ||||
\(274\) | 147.907i | 0.539807i | ||||||||
\(275\) | −19.0924 | − | 324.072i | −0.0694270 | − | 1.17844i | ||||
\(276\) | −352.181 | + | 609.995i | −1.27602 | + | 2.21013i | ||||
\(277\) | −89.6718 | + | 110.735i | −0.323725 | + | 0.399767i | −0.912863 | − | 0.408265i | \(-0.866134\pi\) |
0.589138 | + | 0.808032i | \(0.299467\pi\) | |||||||
\(278\) | −72.1407 | + | 111.087i | −0.259499 | + | 0.399593i | ||||
\(279\) | −107.452 | − | 34.9133i | −0.385133 | − | 0.125137i | ||||
\(280\) | −344.573 | + | 410.450i | −1.23062 | + | 1.46589i | ||||
\(281\) | 42.7984 | + | 131.720i | 0.152307 | + | 0.468754i | 0.997878 | − | 0.0651093i | \(-0.0207396\pi\) |
−0.845571 | + | 0.533864i | \(0.820740\pi\) | |||||||
\(282\) | −46.9903 | + | 175.370i | −0.166632 | + | 0.621880i | ||||
\(283\) | −128.935 | + | 83.7314i | −0.455601 | + | 0.295871i | −0.751963 | − | 0.659205i | \(-0.770893\pi\) |
0.296363 | + | 0.955076i | \(0.404226\pi\) | |||||||
\(284\) | 118.876 | + | 267.000i | 0.418578 | + | 0.940142i | ||||
\(285\) | 243.200 | + | 254.621i | 0.853335 | + | 0.893407i | ||||
\(286\) | 715.175 | − | 519.605i | 2.50061 | − | 1.81680i | ||||
\(287\) | 379.694 | − | 345.504i | 1.32298 | − | 1.20385i | ||||
\(288\) | 129.017 | − | 20.4342i | 0.447975 | − | 0.0709522i | ||||
\(289\) | −92.9430 | + | 208.753i | −0.321602 | + | 0.722330i | ||||
\(290\) | −4.66515 | − | 158.508i | −0.0160867 | − | 0.546580i | ||||
\(291\) | −311.592 | + | 138.730i | −1.07076 | + | 0.476735i | ||||
\(292\) | −990.579 | + | 51.9140i | −3.39239 | + | 0.177788i | ||||
\(293\) | 70.0224 | − | 70.0224i | 0.238984 | − | 0.238984i | −0.577445 | − | 0.816430i | \(-0.695950\pi\) |
0.816430 | + | 0.577445i | \(0.195950\pi\) | |||||||
\(294\) | 75.1264 | − | 794.976i | 0.255532 | − | 2.70400i | ||||
\(295\) | 118.977 | + | 284.622i | 0.403312 | + | 0.964819i | ||||
\(296\) | −370.173 | + | 78.6828i | −1.25059 | + | 0.265820i | ||||
\(297\) | 11.0057 | − | 210.002i | 0.0370563 | − | 0.707077i | ||||
\(298\) | 47.5435 | + | 38.5000i | 0.159542 | + | 0.129195i | ||||
\(299\) | 304.959 | − | 176.068i | 1.01993 | − | 0.588857i | ||||
\(300\) | −779.801 | + | 574.324i | −2.59934 | + | 1.91441i | ||||
\(301\) | 44.2266 | + | 67.3267i | 0.146932 | + | 0.223677i | ||||
\(302\) | 252.664 | + | 40.0180i | 0.836636 | + | 0.132510i | ||||
\(303\) | 244.915 | − | 377.136i | 0.808301 | − | 1.24467i | ||||
\(304\) | −230.262 | + | 207.329i | −0.757442 | + | 0.682004i | ||||
\(305\) | 56.5172 | + | 26.7327i | 0.185302 | + | 0.0876482i | ||||
\(306\) | −668.467 | + | 742.407i | −2.18453 | + | 2.42617i | ||||
\(307\) | −239.044 | − | 239.044i | −0.778645 | − | 0.778645i | 0.200955 | − | 0.979600i | \(-0.435595\pi\) |
−0.979600 | + | 0.200955i | \(0.935595\pi\) | |||||||
\(308\) | −612.126 | + | 449.664i | −1.98742 | + | 1.45995i | ||||
\(309\) | −438.797 | + | 603.952i | −1.42005 | + | 1.95454i | ||||
\(310\) | 21.2574 | + | 157.516i | 0.0685721 | + | 0.508118i | ||||
\(311\) | 53.7092 | + | 511.009i | 0.172698 | + | 1.64311i | 0.646811 | + | 0.762650i | \(0.276102\pi\) |
−0.474113 | + | 0.880464i | \(0.657231\pi\) | |||||||
\(312\) | −1283.48 | − | 492.680i | −4.11371 | − | 1.57910i | ||||
\(313\) | 181.315 | + | 223.905i | 0.579281 | + | 0.715353i | 0.979585 | − | 0.201030i | \(-0.0644288\pi\) |
−0.400304 | + | 0.916382i | \(0.631095\pi\) | |||||||
\(314\) | −157.523 | − | 216.812i | −0.501667 | − | 0.690485i | ||||
\(315\) | 142.455 | − | 413.404i | 0.452237 | − | 1.31239i | ||||
\(316\) | −727.203 | − | 528.344i | −2.30127 | − | 1.67197i | ||||
\(317\) | −245.022 | + | 12.8411i | −0.772940 | + | 0.0405081i | −0.434728 | − | 0.900562i | \(-0.643156\pi\) |
−0.338212 | + | 0.941070i | \(0.609822\pi\) | |||||||
\(318\) | 89.1115 | + | 332.569i | 0.280225 | + | 1.04581i | ||||
\(319\) | 24.3593 | − | 114.601i | 0.0763613 | − | 0.359252i | ||||
\(320\) | 127.589 | + | 184.359i | 0.398714 | + | 0.576121i | ||||
\(321\) | 78.0634 | − | 240.254i | 0.243188 | − | 0.748456i | ||||
\(322\) | −386.270 | + | 225.725i | −1.19960 | + | 0.701009i | ||||
\(323\) | 54.0561 | − | 341.297i | 0.167356 | − | 1.05665i | ||||
\(324\) | 270.354 | − | 156.089i | 0.834425 | − | 0.481756i | ||||
\(325\) | 481.184 | − | 53.7323i | 1.48057 | − | 0.165330i | ||||
\(326\) | −9.49466 | + | 16.4452i | −0.0291247 | + | 0.0504455i | ||||
\(327\) | 30.0876 | + | 78.3808i | 0.0920109 | + | 0.239697i | ||||
\(328\) | 509.796 | + | 1000.53i | 1.55426 | + | 3.05040i | ||||
\(329\) | −54.8548 | + | 55.4337i | −0.166732 | + | 0.168492i | ||||
\(330\) | −976.205 | + | 408.072i | −2.95820 | + | 1.23658i | ||||
\(331\) | 93.1753 | − | 103.482i | 0.281496 | − | 0.312633i | −0.585770 | − | 0.810477i | \(-0.699208\pi\) |
0.867267 | + | 0.497844i | \(0.165875\pi\) | |||||||
\(332\) | 1216.10 | − | 325.853i | 3.66295 | − | 0.981486i | ||||
\(333\) | 258.964 | − | 168.173i | 0.777670 | − | 0.505025i | ||||
\(334\) | 693.070 | + | 72.8446i | 2.07506 | + | 0.218098i | ||||
\(335\) | 1.58390 | + | 2.56598i | 0.00472807 | + | 0.00765964i | ||||
\(336\) | 619.248 | + | 233.985i | 1.84300 | + | 0.696384i | ||||
\(337\) | 8.74299 | + | 55.2010i | 0.0259436 | + | 0.163801i | 0.997259 | − | 0.0739951i | \(-0.0235749\pi\) |
−0.971315 | + | 0.237796i | \(0.923575\pi\) | |||||||
\(338\) | 455.877 | + | 562.961i | 1.34875 | + | 1.66556i | ||||
\(339\) | −968.528 | + | 101.796i | −2.85702 | + | 0.300284i | ||||
\(340\) | 912.174 | + | 266.984i | 2.68287 | + | 0.785246i | ||||
\(341\) | −12.2751 | + | 116.790i | −0.0359973 | + | 0.342492i | ||||
\(342\) | 302.837 | − | 594.352i | 0.885490 | − | 1.73787i | ||||
\(343\) | 197.216 | − | 280.633i | 0.574973 | − | 0.818172i | ||||
\(344\) | −167.578 | + | 54.4494i | −0.487145 | + | 0.158283i | ||||
\(345\) | −403.725 | + | 121.014i | −1.17022 | + | 0.350766i | ||||
\(346\) | −385.884 | − | 428.568i | −1.11527 | − | 1.23864i | ||||
\(347\) | −2.31142 | + | 44.1046i | −0.00666116 | + | 0.127103i | 0.993275 | + | 0.115781i | \(0.0369371\pi\) |
−0.999936 | + | 0.0113214i | \(0.996396\pi\) | |||||||
\(348\) | −326.310 | + | 125.259i | −0.937672 | + | 0.359939i | ||||
\(349\) | 202.316i | 0.579703i | 0.957072 | + | 0.289851i | \(0.0936059\pi\) | ||||
−0.957072 | + | 0.289851i | \(0.906394\pi\) | |||||||
\(350\) | −610.977 | + | 71.4748i | −1.74565 | + | 0.204214i | ||||
\(351\) | 313.637 | 0.893553 | ||||||||
\(352\) | −48.6561 | − | 126.754i | −0.138228 | − | 0.360095i | ||||
\(353\) | 442.354 | + | 23.1828i | 1.25313 | + | 0.0656737i | 0.667317 | − | 0.744774i | \(-0.267443\pi\) |
0.585811 | + | 0.810447i | \(0.300776\pi\) | |||||||
\(354\) | 747.189 | − | 672.772i | 2.11070 | − | 1.90049i | ||||
\(355\) | −57.8431 | + | 165.043i | −0.162938 | + | 0.464910i | ||||
\(356\) | −13.8793 | − | 42.7161i | −0.0389868 | − | 0.119989i | ||||
\(357\) | −700.916 | + | 231.816i | −1.96335 | + | 0.649344i | ||||
\(358\) | 911.588 | + | 464.477i | 2.54633 | + | 1.29742i | ||||
\(359\) | 26.8915 | + | 2.82641i | 0.0749067 | + | 0.00787301i | 0.141908 | − | 0.989880i | \(-0.454676\pi\) |
−0.0670010 | + | 0.997753i | \(0.521343\pi\) | |||||||
\(360\) | 789.994 | + | 539.184i | 2.19443 | + | 1.49773i | ||||
\(361\) | −13.6168 | − | 129.555i | −0.0377197 | − | 0.358879i | ||||
\(362\) | −368.688 | + | 298.557i | −1.01847 | + | 0.824744i | ||||
\(363\) | −218.048 | + | 34.5354i | −0.600683 | + | 0.0951389i | ||||
\(364\) | −717.512 | − | 876.605i | −1.97119 | − | 2.40826i | ||||
\(365\) | −452.587 | − | 384.014i | −1.23996 | − | 1.05209i | ||||
\(366\) | 21.2999 | − | 202.655i | 0.0581963 | − | 0.553701i | ||||
\(367\) | −29.4992 | − | 45.4247i | −0.0803792 | − | 0.123773i | 0.796194 | − | 0.605041i | \(-0.206843\pi\) |
−0.876574 | + | 0.481268i | \(0.840177\pi\) | |||||||
\(368\) | −95.9934 | − | 358.252i | −0.260851 | − | 0.973511i | ||||
\(369\) | −680.880 | − | 613.067i | −1.84520 | − | 1.66143i | ||||
\(370\) | −371.117 | − | 225.769i | −1.00302 | − | 0.610186i | ||||
\(371\) | −37.5271 | + | 143.052i | −0.101151 | + | 0.385586i | ||||
\(372\) | 312.151 | − | 159.049i | 0.839115 | − | 0.427551i | ||||
\(373\) | 256.306 | − | 98.3866i | 0.687147 | − | 0.263771i | 0.0103560 | − | 0.999946i | \(-0.496704\pi\) |
0.676791 | + | 0.736175i | \(0.263370\pi\) | |||||||
\(374\) | 899.253 | + | 519.184i | 2.40442 | + | 1.38819i | ||||
\(375\) | −575.260 | − | 70.0475i | −1.53403 | − | 0.186793i | ||||
\(376\) | −85.2937 | − | 147.733i | −0.226845 | − | 0.392907i | ||||
\(377\) | 172.589 | + | 27.3355i | 0.457796 | + | 0.0725078i | ||||
\(378\) | −398.470 | + | 2.09161i | −1.05415 | + | 0.00553336i | ||||
\(379\) | 563.510 | + | 183.095i | 1.48683 | + | 0.483102i | 0.936147 | − | 0.351610i | \(-0.114366\pi\) |
0.550687 | + | 0.834712i | \(0.314366\pi\) | |||||||
\(380\) | −634.462 | − | 14.5551i | −1.66964 | − | 0.0383029i | ||||
\(381\) | 410.516 | + | 87.2578i | 1.07747 | + | 0.229023i | ||||
\(382\) | −655.207 | + | 175.562i | −1.71520 | + | 0.459587i | ||||
\(383\) | −32.0484 | − | 611.520i | −0.0836773 | − | 1.59666i | −0.641781 | − | 0.766888i | \(-0.721804\pi\) |
0.558104 | − | 0.829771i | \(-0.311529\pi\) | |||||||
\(384\) | 543.483 | − | 748.041i | 1.41532 | − | 1.94802i | ||||
\(385\) | −451.086 | − | 55.4938i | −1.17165 | − | 0.144140i | ||||
\(386\) | −439.000 | + | 318.952i | −1.13731 | + | 0.826301i | ||||
\(387\) | 111.728 | − | 90.4753i | 0.288702 | − | 0.233786i | ||||
\(388\) | 220.309 | − | 573.926i | 0.567808 | − | 1.47919i | ||||
\(389\) | 151.610 | − | 15.9348i | 0.389742 | − | 0.0409635i | 0.0923687 | − | 0.995725i | \(-0.470556\pi\) |
0.297373 | + | 0.954761i | \(0.403889\pi\) | |||||||
\(390\) | −683.984 | − | 1422.11i | −1.75380 | − | 3.64645i | ||||
\(391\) | 334.630 | + | 243.123i | 0.855832 | + | 0.621798i | ||||
\(392\) | 478.258 | + | 578.084i | 1.22005 | + | 1.47470i | ||||
\(393\) | 358.160 | − | 358.160i | 0.911348 | − | 0.911348i | ||||
\(394\) | 350.884 | + | 315.937i | 0.890568 | + | 0.801871i | ||||
\(395\) | −99.7322 | − | 528.535i | −0.252487 | − | 1.33806i | ||||
\(396\) | 907.054 | + | 1007.39i | 2.29054 | + | 2.54390i | ||||
\(397\) | 547.131 | + | 355.311i | 1.37816 | + | 0.894990i | 0.999533 | − | 0.0305577i | \(-0.00972833\pi\) |
0.378631 | + | 0.925548i | \(0.376395\pi\) | |||||||
\(398\) | 188.884 | − | 1192.57i | 0.474582 | − | 2.99640i | ||||
\(399\) | 412.006 | − | 270.645i | 1.03260 | − | 0.678308i | ||||
\(400\) | 76.5067 | − | 504.189i | 0.191267 | − | 1.26047i | ||||
\(401\) | −260.056 | − | 450.430i | −0.648518 | − | 1.12327i | −0.983477 | − | 0.181033i | \(-0.942056\pi\) |
0.334959 | − | 0.942233i | \(-0.391277\pi\) | |||||||
\(402\) | 6.18506 | − | 7.63791i | 0.0153857 | − | 0.0189998i | ||||
\(403\) | −174.905 | − | 9.16641i | −0.434009 | − | 0.0227454i | ||||
\(404\) | 168.513 | + | 792.790i | 0.417111 | + | 1.96235i | ||||
\(405\) | 181.778 | + | 43.0181i | 0.448835 | + | 0.106217i | ||||
\(406\) | −219.454 | − | 33.5782i | −0.540526 | − | 0.0827049i | ||||
\(407\) | −226.942 | − | 226.942i | −0.557598 | − | 0.557598i | ||||
\(408\) | −84.5148 | − | 1612.64i | −0.207144 | − | 3.95255i | ||||
\(409\) | −144.864 | − | 325.369i | −0.354190 | − | 0.795523i | −0.999501 | − | 0.0316027i | \(-0.989939\pi\) |
0.645311 | − | 0.763920i | \(-0.276728\pi\) | |||||||
\(410\) | −362.070 | + | 1237.05i | −0.883098 | + | 3.01719i | ||||
\(411\) | 178.209 | + | 79.3439i | 0.433599 | + | 0.193051i | ||||
\(412\) | −210.487 | − | 1328.96i | −0.510890 | − | 3.22563i | ||||
\(413\) | 421.969 | − | 92.0098i | 1.02172 | − | 0.222784i | ||||
\(414\) | 469.329 | + | 645.975i | 1.13364 | + | 1.56033i | ||||
\(415\) | 663.222 | + | 357.320i | 1.59813 | + | 0.861012i | ||||
\(416\) | 184.990 | − | 82.3627i | 0.444687 | − | 0.197987i | ||||
\(417\) | 95.1462 | + | 146.512i | 0.228168 | + | 0.351349i | ||||
\(418\) | −669.713 | − | 179.449i | −1.60218 | − | 0.429304i | ||||
\(419\) | −524.732 | + | 170.496i | −1.25234 | + | 0.406911i | −0.858760 | − | 0.512378i | \(-0.828765\pi\) |
−0.393583 | + | 0.919289i | \(0.628765\pi\) | |||||||
\(420\) | 594.084 | + | 1218.78i | 1.41449 | + | 2.90185i | ||||
\(421\) | 145.769 | − | 448.629i | 0.346243 | − | 1.06563i | −0.614671 | − | 0.788783i | \(-0.710711\pi\) |
0.960915 | − | 0.276844i | \(-0.0892887\pi\) | |||||||
\(422\) | −9.63407 | − | 6.25644i | −0.0228295 | − | 0.0148257i | ||||
\(423\) | 108.168 | + | 87.5924i | 0.255715 | + | 0.207074i | ||||
\(424\) | −280.158 | − | 161.750i | −0.660751 | − | 0.381485i | ||||
\(425\) | 287.549 | + | 490.672i | 0.676586 | + | 1.15452i | ||||
\(426\) | 569.998 | 1.33802 | ||||||||
\(427\) | 51.0758 | − | 71.0815i | 0.119616 | − | 0.166467i | ||||
\(428\) | 206.709 | + | 405.689i | 0.482965 | + | 0.947871i | ||||
\(429\) | −242.407 | − | 1140.43i | −0.565051 | − | 2.65835i | ||||
\(430\) | −182.832 | − | 86.4797i | −0.425191 | − | 0.201116i | ||||
\(431\) | −698.716 | − | 148.517i | −1.62115 | − | 0.344586i | −0.694203 | − | 0.719779i | \(-0.744243\pi\) |
−0.926947 | + | 0.375193i | \(0.877576\pi\) | |||||||
\(432\) | 85.4984 | − | 319.084i | 0.197913 | − | 0.738621i | ||||
\(433\) | 289.626 | + | 147.572i | 0.668883 | + | 0.340813i | 0.755237 | − | 0.655452i | \(-0.227522\pi\) |
−0.0863541 | + | 0.996265i | \(0.527522\pi\) | |||||||
\(434\) | 222.275 | + | 10.4793i | 0.512155 | + | 0.0241459i | ||||
\(435\) | −193.485 | − | 79.4100i | −0.444793 | − | 0.182552i | ||||
\(436\) | −138.241 | − | 61.5487i | −0.317065 | − | 0.141167i | ||||
\(437\) | −257.842 | − | 98.9762i | −0.590027 | − | 0.226490i | ||||
\(438\) | −693.274 | + | 1806.04i | −1.58282 | + | 4.12338i | ||||
\(439\) | 229.283 | − | 514.979i | 0.522286 | − | 1.17307i | −0.439243 | − | 0.898368i | \(-0.644753\pi\) |
0.961529 | − | 0.274705i | \(-0.0885801\pi\) | |||||||
\(440\) | 377.460 | − | 919.694i | 0.857864 | − | 2.09021i | ||||
\(441\) | −533.333 | − | 300.499i | −1.20937 | − | 0.681405i | ||||
\(442\) | −703.083 | + | 1379.88i | −1.59069 | + | 3.12190i | ||||
\(443\) | 141.747 | + | 37.9810i | 0.319970 | + | 0.0857358i | 0.415229 | − | 0.909717i | \(-0.363701\pi\) |
−0.0952591 | + | 0.995453i | \(0.530368\pi\) | |||||||
\(444\) | −199.069 | + | 936.544i | −0.448353 | + | 2.10933i | ||||
\(445\) | 11.4915 | − | 24.2949i | 0.0258236 | − | 0.0545954i | ||||
\(446\) | −828.216 | + | 176.043i | −1.85699 | + | 0.394715i | ||||
\(447\) | 71.8921 | − | 36.6308i | 0.160832 | − | 0.0819482i | ||||
\(448\) | 286.073 | − | 129.172i | 0.638557 | − | 0.288330i | ||||
\(449\) | − | 443.316i | − | 0.987341i | −0.869649 | − | 0.493671i | \(-0.835655\pi\) | ||
0.869649 | − | 0.493671i | \(-0.164345\pi\) | |||||||
\(450\) | 235.220 | + | 1072.37i | 0.522711 | + | 2.38305i | ||||
\(451\) | −476.156 | + | 824.727i | −1.05578 | + | 1.82866i | ||||
\(452\) | 1104.63 | − | 1364.11i | 2.44387 | − | 3.01793i | ||||
\(453\) | 183.757 | − | 282.961i | 0.405644 | − | 0.624637i | ||||
\(454\) | −363.561 | − | 118.128i | −0.800796 | − | 0.260194i | ||||
\(455\) | 47.4426 | − | 676.183i | 0.104269 | − | 1.48612i | ||||
\(456\) | 333.203 | + | 1025.49i | 0.730709 | + | 2.24889i | ||||
\(457\) | −193.135 | + | 720.790i | −0.422615 | + | 1.57722i | 0.346462 | + | 0.938064i | \(0.387383\pi\) |
−0.769077 | + | 0.639156i | \(0.779284\pi\) | |||||||
\(458\) | −40.1501 | + | 26.0738i | −0.0876640 | + | 0.0569297i | ||||
\(459\) | 149.843 | + | 336.554i | 0.326456 | + | 0.733232i | ||||
\(460\) | 360.308 | − | 668.769i | 0.783279 | − | 1.45384i | ||||
\(461\) | −279.752 | + | 203.252i | −0.606837 | + | 0.440893i | −0.848299 | − | 0.529517i | \(-0.822373\pi\) |
0.241462 | + | 0.970410i | \(0.422373\pi\) | |||||||
\(462\) | 315.579 | + | 1447.28i | 0.683071 | + | 3.13265i | ||||
\(463\) | 110.978 | − | 17.5772i | 0.239693 | − | 0.0379636i | −0.0354320 | − | 0.999372i | \(-0.511281\pi\) |
0.275125 | + | 0.961408i | \(0.411281\pi\) | |||||||
\(464\) | 74.8585 | − | 168.135i | 0.161333 | − | 0.362360i | ||||
\(465\) | 201.191 | + | 58.8864i | 0.432668 | + | 0.126637i | ||||
\(466\) | 29.8408 | − | 13.2860i | 0.0640360 | − | 0.0285107i | ||||
\(467\) | −625.421 | + | 32.7769i | −1.33923 | + | 0.0701862i | −0.708443 | − | 0.705768i | \(-0.750602\pi\) |
−0.630789 | + | 0.775954i | \(0.717269\pi\) | |||||||
\(468\) | −1429.60 | + | 1429.60i | −3.05471 | + | 3.05471i | ||||
\(469\) | 3.93325 | − | 1.53357i | 0.00838645 | − | 0.00326987i | ||||
\(470\) | 45.0929 | − | 190.546i | 0.0959423 | − | 0.405416i | ||||
\(471\) | −345.734 | + | 73.4880i | −0.734042 | + | 0.156026i | ||||
\(472\) | −49.4416 | + | 943.402i | −0.104749 | + | 1.99873i | ||||
\(473\) | −116.130 | − | 94.0399i | −0.245517 | − | 0.198816i | ||||
\(474\) | −1518.17 | + | 876.515i | −3.20289 | + | 1.84919i | ||||
\(475\) | −270.257 | − | 266.773i | −0.568962 | − | 0.561628i | ||||
\(476\) | 597.857 | − | 1188.75i | 1.25600 | − | 2.49737i | ||||
\(477\) | 260.700 | + | 41.2908i | 0.546540 | + | 0.0865635i | ||||
\(478\) | −730.515 | + | 1124.89i | −1.52827 | + | 2.35334i | ||||
\(479\) | 102.907 | − | 92.6581i | 0.214838 | − | 0.193441i | −0.554685 | − | 0.832061i | \(-0.687161\pi\) |
0.769522 | + | 0.638620i | \(0.220494\pi\) | |||||||
\(480\) | −238.165 | + | 44.9406i | −0.496176 | + | 0.0936263i | ||||
\(481\) | 320.295 | − | 355.724i | 0.665894 | − | 0.739550i | ||||
\(482\) | 150.956 | + | 150.956i | 0.313188 | + | 0.313188i | ||||
\(483\) | 64.7575 | + | 586.496i | 0.134074 | + | 1.21428i | ||||
\(484\) | 233.883 | − | 321.912i | 0.483229 | − | 0.665108i | ||||
\(485\) | 331.505 | − | 159.442i | 0.683516 | − | 0.328746i | ||||
\(486\) | −117.192 | − | 1115.01i | −0.241136 | − | 2.29426i | ||||
\(487\) | 719.341 | + | 276.129i | 1.47709 | + | 0.567000i | 0.957758 | − | 0.287575i | \(-0.0928490\pi\) |
0.519328 | + | 0.854575i | \(0.326182\pi\) | |||||||
\(488\) | 120.490 | + | 148.792i | 0.246905 | + | 0.304902i | ||||
\(489\) | 14.7211 | + | 20.2618i | 0.0301044 | + | 0.0414352i | ||||
\(490\) | −55.7656 | + | 859.394i | −0.113807 | + | 1.75386i | ||||
\(491\) | −131.214 | − | 95.3327i | −0.267239 | − | 0.194160i | 0.446094 | − | 0.894986i | \(-0.352815\pi\) |
−0.713332 | + | 0.700826i | \(0.752815\pi\) | |||||||
\(492\) | 2837.12 | − | 148.687i | 5.76650 | − | 0.302209i | ||||
\(493\) | 53.1235 | + | 198.260i | 0.107756 | + | 0.402149i | ||||
\(494\) | 214.997 | − | 1011.48i | 0.435217 | − | 2.04753i | ||||
\(495\) | −18.6033 | + | 810.925i | −0.0375824 | + | 1.63823i | ||||
\(496\) | −57.0053 | + | 175.444i | −0.114930 | + | 0.353718i | ||||
\(497\) | 212.677 | + | 121.305i | 0.427922 | + | 0.244075i | ||||
\(498\) | 384.105 | − | 2425.14i | 0.771294 | − | 4.86976i | ||||
\(499\) | 187.733 | − | 108.388i | 0.376218 | − | 0.217210i | −0.299953 | − | 0.953954i | \(-0.596971\pi\) |
0.676172 | + | 0.736744i | \(0.263638\pi\) | |||||||
\(500\) | 822.430 | − | 643.881i | 1.64486 | − | 1.28776i | ||||
\(501\) | 459.562 | − | 795.985i | 0.917290 | − | 1.58879i | ||||
\(502\) | −265.075 | − | 690.544i | −0.528038 | − | 1.37559i | ||||
\(503\) | 71.7831 | + | 140.882i | 0.142710 | + | 0.280084i | 0.951287 | − | 0.308306i | \(-0.0997620\pi\) |
−0.808577 | + | 0.588390i | \(0.799762\pi\) | |||||||
\(504\) | 941.861 | − | 951.801i | 1.86877 | − | 1.88849i | ||||
\(505\) | −252.061 | + | 414.336i | −0.499130 | + | 0.820467i | ||||
\(506\) | 555.330 | − | 616.757i | 1.09749 | − | 1.21889i | ||||
\(507\) | 922.849 | − | 247.277i | 1.82022 | − | 0.487725i | ||||
\(508\) | −634.402 | + | 411.985i | −1.24882 | + | 0.810994i | ||||
\(509\) | −761.116 | − | 79.9965i | −1.49532 | − | 0.157164i | −0.678730 | − | 0.734388i | \(-0.737469\pi\) |
−0.816586 | + | 0.577224i | \(0.804136\pi\) | |||||||
\(510\) | 1199.24 | − | 1413.39i | 2.35146 | − | 2.77135i | ||||
\(511\) | −643.031 | + | 526.329i | −1.25838 | + | 1.03000i | ||||
\(512\) | 162.075 | + | 1023.30i | 0.316553 | + | 1.99864i | ||||
\(513\) | −154.807 | − | 191.170i | −0.301767 | − | 0.372652i | ||||
\(514\) | −408.693 | + | 42.9554i | −0.795123 | + | 0.0835708i | ||||
\(515\) | 453.875 | − | 665.003i | 0.881311 | − | 1.29127i | ||||
\(516\) | −46.5981 | + | 443.351i | −0.0903064 | + | 0.859208i | ||||
\(517\) | 65.6785 | − | 128.901i | 0.127038 | − | 0.249326i | ||||
\(518\) | −404.556 | + | 454.076i | −0.780997 | + | 0.876595i | ||||
\(519\) | −723.376 | + | 235.039i | −1.39379 | + | 0.452869i | ||||
\(520\) | 1399.26 | + | 490.403i | 2.69089 | + | 0.943083i | ||||
\(521\) | 459.436 | + | 510.256i | 0.881835 | + | 0.979377i | 0.999907 | − | 0.0136277i | \(-0.00433796\pi\) |
−0.118072 | + | 0.993005i | \(0.537671\pi\) | |||||||
\(522\) | −20.7368 | + | 395.682i | −0.0397257 | + | 0.758011i | ||||
\(523\) | −675.074 | + | 259.137i | −1.29077 | + | 0.495481i | −0.904331 | − | 0.426832i | \(-0.859629\pi\) |
−0.386442 | + | 0.922314i | \(0.626296\pi\) | |||||||
\(524\) | 912.933i | 1.74224i | ||||||||
\(525\) | −241.637 | + | 774.493i | −0.460261 | + | 1.47522i | ||||
\(526\) | 567.896 | 1.07965 | ||||||||
\(527\) | −73.7267 | − | 192.065i | −0.139899 | − | 0.364449i | ||||
\(528\) | −1226.32 | − | 64.2688i | −2.32258 | − | 0.121721i | ||||
\(529\) | −147.443 | + | 132.758i | −0.278721 | + | 0.250961i | ||||
\(530\) | −106.617 | − | 355.693i | −0.201164 | − | 0.671118i | ||||
\(531\) | −238.189 | − | 733.071i | −0.448567 | − | 1.38055i | ||||
\(532\) | −180.161 | + | 870.023i | −0.338649 | + | 1.63538i | ||||
\(533\) | −1265.52 | − | 644.815i | −2.37433 | − | 1.20978i | ||||
\(534\) | −87.1146 | − | 9.15612i | −0.163136 | − | 0.0171463i | ||||
\(535\) | −76.5321 | + | 261.479i | −0.143051 | + | 0.488746i | ||||
\(536\) | 0.965254 | + | 9.18378i | 0.00180085 | + | 0.0171339i | ||||
\(537\) | 1048.65 | − | 849.182i | 1.95280 | − | 1.58134i | ||||
\(538\) | −564.343 | + | 89.3831i | −1.04896 | + | 0.166140i | ||||
\(539\) | −190.258 | + | 607.171i | −0.352984 | + | 1.12648i | ||||
\(540\) | 575.747 | − | 355.392i | 1.06620 | − | 0.658133i | ||||
\(541\) | −49.9808 | + | 475.536i | −0.0923860 | + | 0.878994i | 0.845948 | + | 0.533265i | \(0.179035\pi\) |
−0.938334 | + | 0.345729i | \(0.887632\pi\) | |||||||
\(542\) | −427.654 | − | 658.530i | −0.789030 | − | 1.21500i | ||||
\(543\) | 161.944 | + | 604.382i | 0.298239 | + | 1.11304i | ||||
\(544\) | 176.761 | + | 159.157i | 0.324929 | + | 0.292567i | ||||
\(545\) | −34.9223 | − | 83.5425i | −0.0640776 | − | 0.153289i | ||||
\(546\) | −2130.96 | + | 582.995i | −3.90286 | + | 1.06776i | ||||
\(547\) | −357.870 | + | 182.344i | −0.654242 | + | 0.333353i | −0.749408 | − | 0.662108i | \(-0.769662\pi\) |
0.0951660 | + | 0.995461i | \(0.469662\pi\) | |||||||
\(548\) | −328.246 | + | 126.002i | −0.598988 | + | 0.229930i | ||||
\(549\) | −135.287 | − | 78.1079i | −0.246424 | − | 0.142273i | ||||
\(550\) | 1039.43 | − | 470.888i | 1.88988 | − | 0.856160i | ||||
\(551\) | −68.5259 | − | 118.690i | −0.124366 | − | 0.215409i | ||||
\(552\) | −1274.80 | − | 201.909i | −2.30942 | − | 0.365776i | ||||
\(553\) | −752.996 | + | 3.95256i | −1.36166 | + | 0.00714748i | ||||
\(554\) | −476.353 | − | 154.776i | −0.859843 | − | 0.279380i | ||||
\(555\) | −471.106 | + | 326.037i | −0.848840 | + | 0.587454i | ||||
\(556\) | −307.988 | − | 65.4650i | −0.553936 | − | 0.117743i | ||||
\(557\) | −490.863 | + | 131.526i | −0.881263 | + | 0.236134i | −0.670952 | − | 0.741501i | \(-0.734114\pi\) |
−0.210311 | + | 0.977635i | \(0.567448\pi\) | |||||||
\(558\) | −20.7848 | − | 396.598i | −0.0372488 | − | 0.710750i | ||||
\(559\) | 130.999 | − | 180.305i | 0.234345 | − | 0.322548i | ||||
\(560\) | −674.993 | − | 232.596i | −1.20535 | − | 0.415350i | ||||
\(561\) | 1107.95 | − | 804.973i | 1.97496 | − | 1.43489i | ||||
\(562\) | −378.343 | + | 306.377i | −0.673209 | + | 0.545154i | ||||
\(563\) | 319.075 | − | 831.219i | 0.566741 | − | 1.47641i | −0.288141 | − | 0.957588i | \(-0.593037\pi\) |
0.854882 | − | 0.518822i | \(-0.173629\pi\) | |||||||
\(564\) | −429.225 | + | 45.1133i | −0.761036 | + | 0.0799882i | ||||
\(565\) | 1040.88 | − | 140.470i | 1.84226 | − | 0.248619i | ||||
\(566\) | −437.196 | − | 317.641i | −0.772430 | − | 0.561203i | ||||
\(567\) | 105.114 | − | 239.464i | 0.185386 | − | 0.422336i | ||||
\(568\) | −378.698 | + | 378.698i | −0.666723 | + | 0.666723i | ||||
\(569\) | 794.613 | + | 715.473i | 1.39651 | + | 1.25742i | 0.927293 | + | 0.374338i | \(0.122130\pi\) |
0.469215 | + | 0.883084i | \(0.344537\pi\) | |||||||
\(570\) | −529.213 | + | 1118.84i | −0.928444 | + | 1.96288i | ||||
\(571\) | −352.031 | − | 390.970i | −0.616517 | − | 0.684711i | 0.351330 | − | 0.936252i | \(-0.385729\pi\) |
−0.967847 | + | 0.251541i | \(0.919063\pi\) | |||||||
\(572\) | 1762.40 | + | 1144.52i | 3.08112 | + | 2.00090i | ||||
\(573\) | −139.952 | + | 883.622i | −0.244244 | + | 1.54210i | ||||
\(574\) | 1612.12 | + | 810.785i | 2.80857 | + | 1.41252i | ||||
\(575\) | 431.389 | − | 143.267i | 0.750242 | − | 0.249160i | ||||
\(576\) | −280.100 | − | 485.147i | −0.486285 | − | 0.842270i | ||||
\(577\) | −213.235 | + | 263.323i | −0.369558 | + | 0.456366i | −0.927671 | − | 0.373399i | \(-0.878192\pi\) |
0.558113 | + | 0.829765i | \(0.311526\pi\) | |||||||
\(578\) | −802.133 | − | 42.0380i | −1.38777 | − | 0.0727301i | ||||
\(579\) | 148.798 | + | 700.040i | 0.256992 | + | 1.20905i | ||||
\(580\) | 347.799 | − | 145.386i | 0.599653 | − | 0.250666i | ||||
\(581\) | 659.429 | − | 823.124i | 1.13499 | − | 1.41674i | ||||
\(582\) | −847.774 | − | 847.774i | −1.45666 | − | 1.45666i | ||||
\(583\) | −14.3583 | − | 273.973i | −0.0246283 | − | 0.469936i | ||||
\(584\) | −739.307 | − | 1660.51i | −1.26594 | − | 2.84334i | ||||
\(585\) | −1209.25 | + | 35.5901i | −2.06709 | + | 0.0608377i | ||||
\(586\) | 317.995 | + | 141.581i | 0.542654 | + | 0.241605i | ||||
\(587\) | 82.8261 | + | 522.943i | 0.141101 | + | 0.890874i | 0.952091 | + | 0.305815i | \(0.0989288\pi\) |
−0.810990 | + | 0.585059i | \(0.801071\pi\) | |||||||
\(588\) | 1828.27 | − | 510.513i | 3.10930 | − | 0.868219i | ||||
\(589\) | 80.7436 | + | 111.134i | 0.137086 | + | 0.188683i | ||||
\(590\) | −784.149 | + | 748.977i | −1.32907 | + | 1.26945i | ||||
\(591\) | 568.894 | − | 253.288i | 0.962595 | − | 0.428575i | ||||
\(592\) | −274.588 | − | 422.829i | −0.463832 | − | 0.714238i | ||||
\(593\) | 293.633 | + | 78.6786i | 0.495164 | + | 0.132679i | 0.497755 | − | 0.867318i | \(-0.334158\pi\) |
−0.00259046 | + | 0.999997i | \(0.500825\pi\) | |||||||
\(594\) | 703.013 | − | 228.423i | 1.18352 | − | 0.384550i | ||||
\(595\) | 748.255 | − | 272.144i | 1.25757 | − | 0.457385i | ||||
\(596\) | −44.9396 | + | 138.310i | −0.0754021 | + | 0.232064i | ||||
\(597\) | −1335.57 | − | 867.326i | −2.23713 | − | 1.45281i | ||||
\(598\) | 961.949 | + | 778.971i | 1.60861 | + | 1.30263i | ||||
\(599\) | −101.538 | − | 58.6228i | −0.169512 | − | 0.0978678i | 0.412844 | − | 0.910802i | \(-0.364536\pi\) |
−0.582356 | + | 0.812934i | \(0.697869\pi\) | |||||||
\(600\) | −1494.59 | − | 956.872i | −2.49098 | − | 1.59479i | ||||
\(601\) | −633.250 | −1.05366 | −0.526831 | − | 0.849970i | \(-0.676620\pi\) | ||||
−0.526831 | + | 0.849970i | \(0.676620\pi\) | |||||||
\(602\) | −165.229 | + | 229.947i | −0.274467 | + | 0.381972i | ||||
\(603\) | −3.42059 | − | 6.71329i | −0.00567263 | − | 0.0111332i | ||||
\(604\) | 126.433 | + | 594.821i | 0.209326 | + | 0.984803i | ||||
\(605\) | 233.967 | − | 44.1486i | 0.386723 | − | 0.0729729i | ||||
\(606\) | 1546.14 | + | 328.643i | 2.55139 | + | 0.542315i | ||||
\(607\) | 101.691 | − | 379.514i | 0.167530 | − | 0.625229i | −0.830174 | − | 0.557504i | \(-0.811759\pi\) |
0.997704 | − | 0.0677254i | \(-0.0215742\pi\) | |||||||
\(608\) | −141.510 | − | 72.1032i | −0.232748 | − | 0.118591i | ||||
\(609\) | −158.182 | + | 246.401i | −0.259741 | + | 0.404600i | ||||
\(610\) | −16.5321 | + | 219.144i | −0.0271018 | + | 0.359253i | ||||
\(611\) | 197.113 | + | 87.7604i | 0.322608 | + | 0.143634i | ||||
\(612\) | −2217.07 | − | 851.053i | −3.62266 | − | 1.39061i | ||||
\(613\) | 391.439 | − | 1019.73i | 0.638562 | − | 1.66351i | −0.104694 | − | 0.994505i | \(-0.533386\pi\) |
0.743256 | − | 0.669007i | \(-0.233280\pi\) | |||||||
\(614\) | 483.331 | − | 1085.58i | 0.787185 | − | 1.76805i | ||||
\(615\) | 1296.25 | + | 1099.86i | 2.10773 | + | 1.78838i | ||||
\(616\) | −1171.22 | − | 751.889i | −1.90133 | − | 1.22060i | ||||
\(617\) | −386.222 | + | 758.004i | −0.625968 | + | 1.22853i | 0.332439 | + | 0.943125i | \(0.392129\pi\) |
−0.958407 | + | 0.285406i | \(0.907871\pi\) | |||||||
\(618\) | −2534.70 | − | 679.172i | −4.10146 | − | 1.09898i | ||||
\(619\) | 197.446 | − | 928.909i | 0.318975 | − | 1.50066i | −0.468029 | − | 0.883713i | \(-0.655036\pi\) |
0.787004 | − | 0.616948i | \(-0.211631\pi\) | |||||||
\(620\) | −331.463 | + | 181.364i | −0.534617 | + | 0.292522i | ||||
\(621\) | 288.017 | − | 61.2199i | 0.463795 | − | 0.0985827i | ||||
\(622\) | −1609.29 | + | 819.972i | −2.58728 | + | 1.31828i | ||||
\(623\) | −30.5556 | − | 21.9558i | −0.0490460 | − | 0.0352421i | ||||
\(624\) | − | 1831.51i | − | 2.93511i | ||||||
\(625\) | 622.371 | + | 57.2616i | 0.995794 | + | 0.0916186i | ||||
\(626\) | −506.373 | + | 877.064i | −0.808902 | + | 1.40106i | ||||
\(627\) | −575.477 | + | 710.655i | −0.917827 | + | 1.13342i | ||||
\(628\) | 346.971 | − | 534.289i | 0.552502 | − | 0.850779i | ||||
\(629\) | 534.739 | + | 173.747i | 0.850142 | + | 0.276228i | ||||
\(630\) | 1536.09 | − | 53.2809i | 2.43824 | − | 0.0845728i | ||||
\(631\) | 135.220 | + | 416.164i | 0.214294 | + | 0.659531i | 0.999203 | + | 0.0399188i | \(0.0127099\pi\) |
−0.784908 | + | 0.619612i | \(0.787290\pi\) | |||||||
\(632\) | 426.305 | − | 1590.99i | 0.674534 | − | 2.51740i | ||||
\(633\) | −12.7064 | + | 8.25160i | −0.0200732 | + | 0.0130357i | ||||
\(634\) | −350.794 | − | 787.897i | −0.553303 | − | 1.24274i | ||||
\(635\) | −445.318 | − | 81.0419i | −0.701289 | − | 0.127625i | ||||
\(636\) | −662.146 | + | 481.077i | −1.04111 | + | 0.756411i | ||||
\(637\) | −919.175 | − | 235.978i | −1.44297 | − | 0.370453i | ||||
\(638\) | 406.765 | − | 64.4252i | 0.637563 | − | 0.100980i | ||||
\(639\) | 177.733 | − | 399.196i | 0.278143 | − | 0.624720i | ||||
\(640\) | −562.159 | + | 823.656i | −0.878374 | + | 1.28696i | ||||
\(641\) | 1050.52 | − | 467.721i | 1.63888 | − | 0.729675i | 0.639637 | − | 0.768677i | \(-0.279085\pi\) |
0.999239 | + | 0.0390026i | \(0.0124181\pi\) | |||||||
\(642\) | 886.764 | − | 46.4733i | 1.38125 | − | 0.0723883i | ||||
\(643\) | 514.561 | − | 514.561i | 0.800250 | − | 0.800250i | −0.182885 | − | 0.983134i | \(-0.558543\pi\) |
0.983134 | + | 0.182885i | \(0.0585434\pi\) | |||||||
\(644\) | −830.008 | − | 664.944i | −1.28883 | − | 1.03252i | ||||
\(645\) | −202.276 | + | 173.898i | −0.313607 | + | 0.269609i | ||||
\(646\) | 1188.10 | − | 252.540i | 1.83917 | − | 0.390928i | ||||
\(647\) | 10.1797 | − | 194.240i | 0.0157337 | − | 0.300216i | −0.979417 | − | 0.201850i | \(-0.935305\pi\) |
0.995150 | − | 0.0983669i | \(-0.0313619\pi\) | |||||||
\(648\) | 444.561 | + | 359.998i | 0.686051 | + | 0.555553i | ||||
\(649\) | −693.830 | + | 400.583i | −1.06907 | + | 0.617231i | ||||
\(650\) | 782.478 | + | 1511.38i | 1.20381 | + | 2.32521i | ||||
\(651\) | 131.865 | − | 262.192i | 0.202557 | − | 0.402753i | ||||
\(652\) | −44.5849 | − | 7.06156i | −0.0683818 | − | 0.0108306i | ||||
\(653\) | −370.917 | + | 571.161i | −0.568019 | + | 0.874673i | −0.999625 | − | 0.0273895i | \(-0.991281\pi\) |
0.431606 | + | 0.902062i | \(0.357947\pi\) | |||||||
\(654\) | −219.316 | + | 197.473i | −0.335345 | + | 0.301946i | ||||
\(655\) | −374.744 | + | 397.472i | −0.572129 | + | 0.606827i | ||||
\(656\) | −1001.00 | + | 1111.72i | −1.52591 | + | 1.69470i | ||||
\(657\) | 1048.68 | + | 1048.68i | 1.59617 | + | 1.59617i | ||||
\(658\) | −251.014 | − | 110.183i | −0.381480 | − | 0.167452i | ||||
\(659\) | 140.410 | − | 193.258i | 0.213065 | − | 0.293259i | −0.689086 | − | 0.724680i | \(-0.741988\pi\) |
0.902151 | + | 0.431421i | \(0.141988\pi\) | |||||||
\(660\) | −1737.25 | − | 1818.83i | −2.63220 | − | 2.75580i | ||||
\(661\) | 72.7510 | + | 692.180i | 0.110062 | + | 1.04717i | 0.900568 | + | 0.434716i | \(0.143151\pi\) |
−0.790506 | + | 0.612455i | \(0.790182\pi\) | |||||||
\(662\) | 456.962 | + | 175.411i | 0.690275 | + | 0.264972i | ||||
\(663\) | 1285.41 | + | 1587.35i | 1.93878 | + | 2.39420i | ||||
\(664\) | 1356.04 | + | 1866.42i | 2.04222 | + | 2.81088i | ||||
\(665\) | −435.569 | + | 304.836i | −0.654991 | + | 0.458401i | ||||
\(666\) | 878.101 | + | 637.978i | 1.31847 | + | 0.957924i | ||||
\(667\) | 163.827 | − | 8.58579i | 0.245617 | − | 0.0128722i | ||||
\(668\) | 428.763 | + | 1600.17i | 0.641861 | + | 2.39546i | ||||
\(669\) | −232.183 | + | 1092.33i | −0.347059 | + | 1.63279i | ||||
\(670\) | −6.42536 | + | 8.43016i | −0.00959009 | + | 0.0125823i | ||||
\(671\) | −50.1753 | + | 154.424i | −0.0747768 | + | 0.230139i | ||||
\(672\) | 1.78107 | + | 339.310i | 0.00265041 | + | 0.504926i | ||||
\(673\) | 88.0845 | − | 556.144i | 0.130883 | − | 0.826365i | −0.831669 | − | 0.555271i | \(-0.812615\pi\) |
0.962553 | − | 0.271094i | \(-0.0873855\pi\) | |||||||
\(674\) | −170.136 | + | 98.2281i | −0.252427 | + | 0.145739i | ||||
\(675\) | 396.551 | + | 81.6048i | 0.587482 | + | 0.120896i | ||||
\(676\) | −861.002 | + | 1491.30i | −1.27367 | + | 2.20606i | ||||
\(677\) | 107.122 | + | 279.062i | 0.158230 | + | 0.412203i | 0.989661 | − | 0.143424i | \(-0.0458113\pi\) |
−0.831431 | + | 0.555628i | \(0.812478\pi\) | |||||||
\(678\) | −1554.12 | − | 3050.12i | −2.29221 | − | 4.49871i | ||||
\(679\) | −135.900 | − | 496.743i | −0.200148 | − | 0.731580i | ||||
\(680\) | 142.276 | + | 1735.80i | 0.209229 | + | 2.55264i | ||||
\(681\) | −337.360 | + | 374.676i | −0.495389 | + | 0.550185i | ||||
\(682\) | −398.724 | + | 106.838i | −0.584639 | + | 0.156654i | ||||
\(683\) | 200.889 | − | 130.459i | 0.294127 | − | 0.191009i | −0.389136 | − | 0.921180i | \(-0.627227\pi\) |
0.683264 | + | 0.730172i | \(0.260560\pi\) | |||||||
\(684\) | 1577.01 | + | 165.751i | 2.30558 | + | 0.242326i | ||||
\(685\) | −194.633 | − | 79.8811i | −0.284136 | − | 0.116615i | ||||
\(686\) | 1169.37 | + | 293.676i | 1.70462 | + | 0.428100i | ||||
\(687\) | 9.87732 | + | 62.3630i | 0.0143775 | + | 0.0907758i | ||||
\(688\) | −147.725 | − | 182.426i | −0.214717 | − | 0.265153i | ||||
\(689\) | 406.936 | − | 42.7707i | 0.590618 | − | 0.0620764i | ||||
\(690\) | −905.698 | − | 1172.44i | −1.31261 | − | 1.69918i | ||||
\(691\) | −86.2179 | + | 820.309i | −0.124773 | + | 1.18713i | 0.735581 | + | 0.677436i | \(0.236909\pi\) |
−0.860354 | + | 0.509697i | \(0.829758\pi\) | |||||||
\(692\) | 622.374 | − | 1221.48i | 0.899385 | − | 1.76514i | ||||
\(693\) | 1112.00 | + | 230.269i | 1.60462 | + | 0.332279i | ||||
\(694\) | −147.647 | + | 47.9734i | −0.212748 | + | 0.0691259i | ||||
\(695\) | −107.219 | − | 154.926i | −0.154272 | − | 0.222916i | ||||
\(696\) | −428.564 | − | 475.969i | −0.615754 | − | 0.683864i | ||||
\(697\) | 87.3142 | − | 1666.05i | 0.125271 | − | 2.39032i | ||||
\(698\) | −663.928 | + | 254.858i | −0.951186 | + | 0.365126i | ||||
\(699\) | − | 43.0815i | − | 0.0616331i | ||||||
\(700\) | −679.112 | − | 1295.03i | −0.970161 | − | 1.85005i | ||||
\(701\) | 680.982 | 0.971444 | 0.485722 | − | 0.874113i | \(-0.338557\pi\) | ||||
0.485722 | + | 0.874113i | \(0.338557\pi\) | |||||||
\(702\) | 395.089 | + | 1029.24i | 0.562805 | + | 1.46616i | ||||
\(703\) | −374.916 | − | 19.6485i | −0.533309 | − | 0.0279495i | ||||
\(704\) | −432.712 | + | 389.615i | −0.614647 | + | 0.553431i | ||||
\(705\) | −205.394 | − | 156.548i | −0.291338 | − | 0.222054i | ||||
\(706\) | 481.157 | + | 1480.85i | 0.681525 | + | 2.09752i | ||||
\(707\) | 506.956 | + | 451.669i | 0.717052 | + | 0.638853i | ||||
\(708\) | 2129.59 | + | 1085.08i | 3.00790 | + | 1.53260i | ||||
\(709\) | −850.023 | − | 89.3410i | −1.19890 | − | 0.126010i | −0.516046 | − | 0.856561i | \(-0.672597\pi\) |
−0.682858 | + | 0.730551i | \(0.739263\pi\) | |||||||
\(710\) | −614.476 | + | 18.0850i | −0.865459 | + | 0.0254718i | ||||
\(711\) | 140.478 | + | 1336.55i | 0.197577 | + | 1.87982i | ||||
\(712\) | 63.9609 | − | 51.7946i | 0.0898328 | − | 0.0727452i | ||||
\(713\) | −162.407 | + | 25.7228i | −0.227780 | + | 0.0360768i | ||||
\(714\) | −1643.68 | − | 2008.13i | −2.30207 | − | 2.81251i | ||||
\(715\) | 297.506 | + | 1221.73i | 0.416093 | + | 1.70872i | ||||
\(716\) | −254.221 | + | 2418.75i | −0.355057 | + | 3.37814i | ||||
\(717\) | 963.476 | + | 1483.62i | 1.34376 | + | 2.06921i | ||||
\(718\) | 24.6000 | + | 91.8085i | 0.0342619 | + | 0.127867i | ||||
\(719\) | 628.287 | + | 565.712i | 0.873834 | + | 0.786804i | 0.978185 | − | 0.207737i | \(-0.0666098\pi\) |
−0.104351 | + | 0.994541i | \(0.533276\pi\) | |||||||
\(720\) | −293.436 | + | 1239.95i | −0.407551 | + | 1.72216i | ||||
\(721\) | −801.209 | − | 792.842i | −1.11125 | − | 1.09964i | ||||
\(722\) | 408.000 | − | 207.887i | 0.565098 | − | 0.287932i | ||||
\(723\) | 262.863 | − | 100.904i | 0.363573 | − | 0.139563i | ||||
\(724\) | −976.664 | − | 563.877i | −1.34898 | − | 0.778836i | ||||
\(725\) | 211.103 | + | 79.4677i | 0.291176 | + | 0.109611i | ||||
\(726\) | −388.008 | − | 672.050i | −0.534447 | − | 0.925688i | ||||
\(727\) | −285.112 | − | 45.1574i | −0.392177 | − | 0.0621147i | −0.0427677 | − | 0.999085i | \(-0.513618\pi\) |
−0.349409 | + | 0.936970i | \(0.613618\pi\) | |||||||
\(728\) | 1028.45 | − | 1803.11i | 1.41270 | − | 2.47680i | ||||
\(729\) | −1086.53 | − | 353.035i | −1.49044 | − | 0.484274i | ||||
\(730\) | 690.070 | − | 1968.97i | 0.945301 | − | 2.69722i | ||||
\(731\) | 256.065 | + | 54.4283i | 0.350294 | + | 0.0744573i | ||||
\(732\) | 467.891 | − | 125.371i | 0.639195 | − | 0.171272i | ||||
\(733\) | −28.6622 | − | 546.908i | −0.0391026 | − | 0.746122i | −0.945881 | − | 0.324514i | \(-0.894799\pi\) |
0.906778 | − | 0.421608i | \(-0.138534\pi\) | |||||||
\(734\) | 111.907 | − | 154.027i | 0.152462 | − | 0.209846i | ||||
\(735\) | 1005.55 | + | 528.207i | 1.36809 | + | 0.718649i | ||||
\(736\) | 153.802 | − | 111.743i | 0.208970 | − | 0.151825i | ||||
\(737\) | −6.08611 | + | 4.92843i | −0.00825795 | + | 0.00668715i | ||||
\(738\) | 1154.16 | − | 3006.68i | 1.56390 | − | 4.07409i | ||||
\(739\) | 846.526 | − | 88.9735i | 1.14550 | − | 0.120397i | 0.487298 | − | 0.873236i | \(-0.337983\pi\) |
0.658205 | + | 0.752839i | \(0.271316\pi\) | |||||||
\(740\) | 184.888 | − | 1015.94i | 0.249848 | − | 1.37289i | ||||
\(741\) | −1103.37 | − | 801.648i | −1.48903 | − | 1.08185i | ||||
\(742\) | −516.719 | + | 57.0531i | −0.696387 | + | 0.0768910i | ||||
\(743\) | −525.713 | + | 525.713i | −0.707554 | + | 0.707554i | −0.966020 | − | 0.258466i | \(-0.916783\pi\) |
0.258466 | + | 0.966020i | \(0.416783\pi\) | |||||||
\(744\) | 477.072 | + | 429.557i | 0.641226 | + | 0.577362i | ||||
\(745\) | −76.3398 | + | 41.7703i | −0.102470 | + | 0.0560675i | ||||
\(746\) | 645.737 | + | 717.164i | 0.865600 | + | 0.961346i | ||||
\(747\) | −1578.67 | − | 1025.20i | −2.11335 | − | 1.37242i | ||||
\(748\) | −386.138 | + | 2437.98i | −0.516227 | + | 3.25933i | ||||
\(749\) | 340.760 | + | 171.379i | 0.454953 | + | 0.228810i | ||||
\(750\) | −494.785 | − | 1976.03i | −0.659713 | − | 2.63471i | ||||
\(751\) | −423.137 | − | 732.895i | −0.563431 | − | 0.975892i | −0.997194 | − | 0.0748645i | \(-0.976148\pi\) |
0.433762 | − | 0.901027i | \(-0.357186\pi\) | |||||||
\(752\) | 143.018 | − | 176.613i | 0.190184 | − | 0.234857i | ||||
\(753\) | −974.217 | − | 51.0565i | −1.29378 | − | 0.0678042i | ||||
\(754\) | 127.706 | + | 600.809i | 0.169371 | + | 0.796830i | ||||
\(755\) | −189.118 | + | 310.871i | −0.250488 | + | 0.411750i | ||||
\(756\) | −344.098 | − | 882.531i | −0.455156 | − | 1.16737i | ||||
\(757\) | 85.7967 | + | 85.7967i | 0.113338 | + | 0.113338i | 0.761501 | − | 0.648163i | \(-0.224463\pi\) |
−0.648163 | + | 0.761501i | \(0.724463\pi\) | |||||||
\(758\) | 109.002 | + | 2079.88i | 0.143802 | + | 2.74390i | ||||
\(759\) | −445.210 | − | 999.959i | −0.586575 | − | 1.31747i | ||||
\(760\) | −391.741 | − | 1094.94i | −0.515449 | − | 1.44072i | ||||
\(761\) | −994.827 | − | 442.925i | −1.30726 | − | 0.582031i | −0.369475 | − | 0.929241i | \(-0.620463\pi\) |
−0.937787 | + | 0.347210i | \(0.887129\pi\) | |||||||
\(762\) | 230.779 | + | 1457.08i | 0.302860 | + | 1.91218i | ||||
\(763\) | −123.857 | + | 27.0068i | −0.162329 | + | 0.0353956i | ||||
\(764\) | −947.790 | − | 1304.52i | −1.24056 | − | 1.70749i | ||||
\(765\) | −615.922 | − | 1280.60i | −0.805126 | − | 1.67399i | ||||
\(766\) | 1966.42 | − | 875.504i | 2.56712 | − | 1.14296i | ||||
\(767\) | −650.788 | − | 1002.13i | −0.848485 | − | 1.30655i | ||||
\(768\) | 2336.22 | + | 625.988i | 3.04195 | + | 0.815089i | ||||
\(769\) | −421.299 | + | 136.888i | −0.547853 | + | 0.178008i | −0.569848 | − | 0.821750i | \(-0.692998\pi\) |
0.0219956 | + | 0.999758i | \(0.492998\pi\) | |||||||
\(770\) | −386.124 | − | 1550.21i | −0.501460 | − | 2.01326i | ||||
\(771\) | −167.485 | + | 515.467i | −0.217231 | + | 0.668569i | ||||
\(772\) | −1081.83 | − | 702.545i | −1.40133 | − | 0.910033i | ||||
\(773\) | 114.712 | + | 92.8922i | 0.148399 | + | 0.120171i | 0.700645 | − | 0.713510i | \(-0.252896\pi\) |
−0.552246 | + | 0.833681i | \(0.686229\pi\) | |||||||
\(774\) | 437.650 | + | 252.677i | 0.565440 | + | 0.326457i | ||||
\(775\) | −218.759 | − | 57.0981i | −0.282269 | − | 0.0736749i | ||||
\(776\) | 1126.50 | 1.45167 | ||||||||
\(777\) | 330.082 | + | 731.026i | 0.424816 | + | 0.940831i | ||||
\(778\) | 243.275 | + | 477.454i | 0.312693 | + | 0.613694i | ||||
\(779\) | 231.610 | + | 1089.64i | 0.297317 | + | 1.39877i | ||||
\(780\) | 2573.37 | − | 2729.44i | 3.29919 | − | 3.49928i | ||||
\(781\) | −444.265 | − | 94.4315i | −0.568842 | − | 0.120911i | ||||
\(782\) | −376.307 | + | 1404.40i | −0.481211 | + | 1.79590i | ||||
\(783\) | 130.190 | + | 66.3351i | 0.166271 | + | 0.0847192i | ||||
\(784\) | −490.647 | + | 870.810i | −0.625825 | + | 1.11073i | ||||
\(785\) | 370.381 | − | 90.1920i | 0.471823 | − | 0.114894i | ||||
\(786\) | 1626.52 | + | 724.175i | 2.06937 | + | 0.921342i | ||||
\(787\) | 166.435 | + | 63.8883i | 0.211480 | + | 0.0811796i | 0.461802 | − | 0.886983i | \(-0.347203\pi\) |
−0.250322 | + | 0.968163i | \(0.580536\pi\) | |||||||
\(788\) | −402.233 | + | 1047.85i | −0.510448 | + | 1.32976i | ||||
\(789\) | 304.644 | − | 684.243i | 0.386115 | − | 0.867228i | ||||
\(790\) | 1608.83 | − | 993.081i | 2.03649 | − | 1.25706i | ||||
\(791\) | 69.2478 | − | 1468.80i | 0.0875447 | − | 1.85690i | ||||
\(792\) | −1127.71 | + | 2213.25i | −1.42387 | + | 2.79450i | ||||
\(793\) | −233.916 | − | 62.6776i | −0.294976 | − | 0.0790386i | ||||
\(794\) | −476.779 | + | 2243.07i | −0.600478 | + | 2.82503i | ||||
\(795\) | −485.759 | − | 62.3494i | −0.611017 | − | 0.0784269i | ||||
\(796\) | 2807.54 | − | 596.760i | 3.52705 | − | 0.749699i | ||||
\(797\) | 951.461 | − | 484.793i | 1.19380 | − | 0.608273i | 0.259843 | − | 0.965651i | \(-0.416329\pi\) |
0.933960 | + | 0.357378i | \(0.116329\pi\) | |||||||
\(798\) | 1407.16 | + | 1011.12i | 1.76336 | + | 1.26707i | ||||
\(799\) | 253.444i | 0.317202i | ||||||||
\(800\) | 255.324 | − | 56.0040i | 0.319154 | − | 0.0700050i | ||||
\(801\) | −33.5761 | + | 58.1555i | −0.0419177 | + | 0.0726036i | ||||
\(802\) | 1150.55 | − | 1420.81i | 1.43460 | − | 1.77159i | ||||
\(803\) | 839.556 | − | 1292.80i | 1.04552 | − | 1.60997i | ||||
\(804\) | 22.2196 | + | 7.21959i | 0.0276363 | + | 0.00897959i | ||||
\(805\) | −88.4192 | − | 630.208i | −0.109838 | − | 0.782867i | ||||
\(806\) | −190.248 | − | 585.523i | −0.236040 | − | 0.726455i | ||||
\(807\) | −195.043 | + | 727.911i | −0.241689 | + | 0.901996i | ||||
\(808\) | −1245.58 | + | 808.890i | −1.54156 | + | 1.00110i | ||||
\(809\) | −487.031 | − | 1093.89i | −0.602016 | − | 1.35215i | −0.915409 | − | 0.402526i | \(-0.868132\pi\) |
0.313393 | − | 0.949624i | \(-0.398534\pi\) | |||||||
\(810\) | 87.8168 | + | 650.720i | 0.108416 | + | 0.803358i | ||||
\(811\) | 235.145 | − | 170.843i | 0.289944 | − | 0.210657i | −0.433299 | − | 0.901250i | \(-0.642651\pi\) |
0.723243 | + | 0.690593i | \(0.242651\pi\) | |||||||
\(812\) | −112.433 | − | 515.633i | −0.138464 | − | 0.635015i | ||||
\(813\) | −1022.86 | + | 162.005i | −1.25813 | + | 0.199268i | ||||
\(814\) | 458.862 | − | 1030.62i | 0.563713 | − | 1.26612i | ||||
\(815\) | −16.5127 | − | 21.3758i | −0.0202609 | − | 0.0262280i | ||||
\(816\) | 1965.33 | − | 875.021i | 2.40849 | − | 1.07233i | ||||
\(817\) | −174.560 | + | 9.14829i | −0.213659 | + | 0.0111974i | ||||
\(818\) | 885.257 | − | 885.257i | 1.08222 | − | 1.08222i | ||||
\(819\) | −256.166 | + | 1674.20i | −0.312779 | + | 2.04420i | ||||
\(820\) | −3053.79 | + | 250.306i | −3.72413 | + | 0.305251i | ||||
\(821\) | −108.593 | + | 23.0821i | −0.132269 | + | 0.0281146i | −0.273570 | − | 0.961852i | \(-0.588205\pi\) |
0.141302 | + | 0.989967i | \(0.454871\pi\) | |||||||
\(822\) | −35.8871 | + | 684.767i | −0.0436583 | + | 0.833050i | ||||
\(823\) | −512.093 | − | 414.684i | −0.622227 | − | 0.503869i | 0.265578 | − | 0.964089i | \(-0.414437\pi\) |
−0.887805 | + | 0.460220i | \(0.847771\pi\) | |||||||
\(824\) | 2135.25 | − | 1232.79i | 2.59133 | − | 1.49610i | ||||
\(825\) | −9.76190 | − | 1504.99i | −0.0118326 | − | 1.82423i | ||||
\(826\) | 833.497 | + | 1268.84i | 1.00908 | + | 1.53613i | ||||
\(827\) | −1038.29 | − | 164.449i | −1.25549 | − | 0.198850i | −0.506970 | − | 0.861964i | \(-0.669234\pi\) |
−0.748518 | + | 0.663114i | \(0.769234\pi\) | |||||||
\(828\) | −1033.77 | + | 1591.87i | −1.24852 | + | 1.92255i | ||||
\(829\) | −375.864 | + | 338.430i | −0.453395 | + | 0.408239i | −0.863935 | − | 0.503604i | \(-0.832007\pi\) |
0.410540 | + | 0.911843i | \(0.365340\pi\) | |||||||
\(830\) | −337.132 | + | 2626.57i | −0.406183 | + | 3.16454i | ||||
\(831\) | −442.023 | + | 490.916i | −0.531917 | + | 0.590754i | ||||
\(832\) | −614.071 | − | 614.071i | −0.738067 | − | 0.738067i | ||||
\(833\) | −185.925 | − | 1099.08i | −0.223199 | − | 1.31942i | ||||
\(834\) | −360.944 | + | 496.797i | −0.432787 | + | 0.595680i | ||||
\(835\) | −470.168 | + | 872.679i | −0.563075 | + | 1.04512i | ||||
\(836\) | −172.281 | − | 1639.15i | −0.206078 | − | 1.96070i | ||||
\(837\) | −136.727 | − | 52.4845i | −0.163353 | − | 0.0627055i | ||||
\(838\) | −1220.51 | − | 1507.20i | −1.45646 | − | 1.79857i | ||||
\(839\) | 45.4382 | + | 62.5403i | 0.0541576 | + | 0.0745415i | 0.835237 | − | 0.549890i | \(-0.185331\pi\) |
−0.781079 | + | 0.624432i | \(0.785331\pi\) | |||||||
\(840\) | −1694.86 | + | 1816.66i | −2.01769 | + | 2.16269i | ||||
\(841\) | −614.523 | − | 446.477i | −0.730706 | − | 0.530889i | ||||
\(842\) | 1655.86 | − | 86.7801i | 1.96658 | − | 0.103064i | ||||
\(843\) | 166.185 | + | 620.210i | 0.197135 | + | 0.735718i | ||||
\(844\) | 5.67748 | − | 26.7105i | 0.00672688 | − | 0.0316475i | ||||
\(845\) | −987.017 | + | 295.853i | −1.16807 | + | 0.350122i | ||||
\(846\) | −151.187 | + | 465.307i | −0.178708 | + | 0.550008i | ||||
\(847\) | −1.74969 | − | 333.330i | −0.00206574 | − | 0.393542i | ||||
\(848\) | 67.4183 | − | 425.663i | 0.0795028 | − | 0.501961i | ||||
\(849\) | −617.249 | + | 356.369i | −0.727030 | + | 0.419751i | ||||
\(850\) | −1247.98 | + | 1561.73i | −1.46821 | + | 1.83733i | ||||
\(851\) | 224.696 | − | 389.185i | 0.264038 | − | 0.457327i | ||||
\(852\) | 485.580 | + | 1264.98i | 0.569930 | + | 1.48472i | ||||
\(853\) | 0.996242 | + | 1.95523i | 0.00116793 | + | 0.00229219i | 0.891590 | − | 0.452844i | \(-0.149591\pi\) |
−0.890422 | + | 0.455136i | \(0.849591\pi\) | |||||||
\(854\) | 297.604 | + | 78.0707i | 0.348482 | + | 0.0914177i | ||||
\(855\) | 618.561 | + | 719.504i | 0.723463 | + | 0.841525i | ||||
\(856\) | −558.277 | + | 620.030i | −0.652193 | + | 0.724334i | ||||
\(857\) | −34.7540 | + | 9.31231i | −0.0405531 | + | 0.0108662i | −0.279039 | − | 0.960280i | \(-0.590016\pi\) |
0.238485 | + | 0.971146i | \(0.423349\pi\) | |||||||
\(858\) | 3437.13 | − | 2232.10i | 4.00598 | − | 2.60151i | ||||
\(859\) | 1273.70 | + | 133.871i | 1.48277 | + | 0.155846i | 0.811058 | − | 0.584966i | \(-0.198892\pi\) |
0.671713 | + | 0.740811i | \(0.265559\pi\) | |||||||
\(860\) | 36.1676 | − | 479.426i | 0.0420553 | − | 0.557472i | ||||
\(861\) | 1841.71 | − | 1507.46i | 2.13903 | − | 1.75082i | ||||
\(862\) | −392.796 | − | 2480.02i | −0.455680 | − | 2.87705i | ||||
\(863\) | 39.1579 | + | 48.3560i | 0.0453741 | + | 0.0560324i | 0.799328 | − | 0.600895i | \(-0.205189\pi\) |
−0.753954 | + | 0.656928i | \(0.771856\pi\) | |||||||
\(864\) | 168.397 | − | 17.6992i | 0.194904 | − | 0.0204852i | ||||
\(865\) | 772.366 | − | 276.331i | 0.892909 | − | 0.319458i | ||||
\(866\) | −119.435 | + | 1136.34i | −0.137915 | + | 1.31218i | ||||
\(867\) | −480.950 | + | 943.918i | −0.554729 | + | 1.08872i | ||||
\(868\) | 166.099 | + | 502.216i | 0.191359 | + | 0.578590i | ||||
\(869\) | 1328.50 | − | 431.655i | 1.52877 | − | 0.496726i | ||||
\(870\) | 16.8611 | − | 734.980i | 0.0193805 | − | 0.844805i | ||||
\(871\) | −7.81550 | − | 8.67999i | −0.00897302 | − | 0.00996554i | ||||
\(872\) | 14.5122 | − | 276.909i | 0.0166424 | − | 0.317556i | ||||
\(873\) | −858.084 | + | 329.388i | −0.982915 | + | 0.377306i | ||||
\(874\) | − | 970.823i | − | 1.11078i | ||||||
\(875\) | 235.920 | − | 842.595i | 0.269622 | − | 0.962966i | ||||
\(876\) | −4598.69 | −5.24965 | ||||||||
\(877\) | 224.533 | + | 584.930i | 0.256024 | + | 0.666967i | 0.999999 | − | 0.00124117i | \(-0.000395076\pi\) |
−0.743975 | + | 0.668208i | \(0.767062\pi\) | |||||||
\(878\) | 1978.80 | + | 103.705i | 2.25376 | + | 0.118115i | ||||
\(879\) | 341.174 | − | 307.194i | 0.388138 | − | 0.349481i | ||||
\(880\) | 1324.05 | + | 30.3749i | 1.50461 | + | 0.0345169i | ||||
\(881\) | 76.4507 | + | 235.291i | 0.0867771 | + | 0.267073i | 0.985024 | − | 0.172419i | \(-0.0551585\pi\) |
−0.898246 | + | 0.439492i | \(0.855158\pi\) | |||||||
\(882\) | 314.289 | − | 2128.74i | 0.356336 | − | 2.41354i | ||||
\(883\) | −586.982 | − | 299.082i | −0.664759 | − | 0.338712i | 0.0888402 | − | 0.996046i | \(-0.471684\pi\) |
−0.753599 | + | 0.657334i | \(0.771684\pi\) | |||||||
\(884\) | −3661.28 | − | 384.816i | −4.14172 | − | 0.435312i | ||||
\(885\) | 481.771 | + | 1346.58i | 0.544374 | + | 1.52156i | ||||
\(886\) | 53.9191 | + | 513.006i | 0.0608568 | + | 0.579014i | ||||
\(887\) | −300.652 | + | 243.463i | −0.338954 | + | 0.274480i | −0.783651 | − | 0.621202i | \(-0.786645\pi\) |
0.444697 | + | 0.895681i | \(0.353311\pi\) | |||||||
\(888\) | −1732.89 | + | 274.462i | −1.95145 | + | 0.309079i | ||||
\(889\) | −223.984 | + | 592.780i | −0.251951 | + | 0.666794i | ||||
\(890\) | 94.2030 | + | 7.10661i | 0.105846 | + | 0.00798495i | ||||
\(891\) | −50.7099 | + | 482.473i | −0.0569135 | + | 0.541496i | ||||
\(892\) | −1096.24 | − | 1688.07i | −1.22897 | − | 1.89245i | ||||
\(893\) | −43.7998 | − | 163.463i | −0.0490480 | − | 0.183049i | ||||
\(894\) | 210.772 | + | 189.780i | 0.235762 | + | 0.212281i | ||||
\(895\) | −1103.54 | + | 948.718i | −1.23300 | + | 1.06002i | ||||
\(896\) | 992.358 | + | 981.995i | 1.10754 | + | 1.09598i | ||||
\(897\) | 1454.59 | − | 741.152i | 1.62162 | − | 0.826257i | ||||
\(898\) | 1454.80 | − | 558.446i | 1.62005 | − | 0.621878i | ||||
\(899\) | −70.6641 | − | 40.7979i | −0.0786030 | − | 0.0453815i | ||||
\(900\) | −2179.50 | + | 1435.57i | −2.42167 | + | 1.59508i | ||||
\(901\) | 240.314 | + | 416.235i | 0.266719 | + | 0.461970i | ||||
\(902\) | −3306.27 | − | 523.661i | −3.66548 | − | 0.580556i | ||||
\(903\) | 188.421 | + | 322.434i | 0.208661 | + | 0.357070i | ||||
\(904\) | 3058.99 | + | 993.927i | 3.38384 | + | 1.09948i | ||||
\(905\) | −193.756 | − | 646.405i | −0.214096 | − | 0.714260i | ||||
\(906\) | 1160.05 | + | 246.577i | 1.28041 | + | 0.272160i | ||||
\(907\) | 1549.80 | − | 415.267i | 1.70871 | − | 0.457847i | 0.733602 | − | 0.679580i | \(-0.237838\pi\) |
0.975108 | + | 0.221732i | \(0.0711711\pi\) | |||||||
\(908\) | −47.5587 | − | 907.474i | −0.0523774 | − | 0.999421i | ||||
\(909\) | 712.274 | − | 980.361i | 0.783580 | − | 1.07850i | ||||
\(910\) | 2278.75 | − | 696.099i | 2.50412 | − | 0.764944i | ||||
\(911\) | 495.779 | − | 360.205i | 0.544215 | − | 0.395395i | −0.281433 | − | 0.959581i | \(-0.590810\pi\) |
0.825648 | + | 0.564186i | \(0.190810\pi\) | |||||||
\(912\) | −1116.35 | + | 904.005i | −1.22407 | + | 0.991234i | ||||
\(913\) | −701.151 | + | 1826.56i | −0.767964 | + | 2.00061i | ||||
\(914\) | −2608.66 | + | 274.181i | −2.85411 | + | 0.299980i | ||||
\(915\) | 255.172 | + | 137.478i | 0.278877 | + | 0.150249i | ||||
\(916\) | −92.0686 | − | 66.8918i | −0.100512 | − | 0.0730260i | ||||
\(917\) | 452.772 | + | 616.357i | 0.493753 | + | 0.672145i | ||||
\(918\) | −915.688 | + | 915.688i | −0.997482 | + | 0.997482i | ||||
\(919\) | −1323.14 | − | 1191.36i | −1.43976 | − | 1.29636i | −0.885998 | − | 0.463689i | \(-0.846526\pi\) |
−0.553761 | − | 0.832676i | \(-0.686808\pi\) | |||||||
\(920\) | 1380.68 | + | 177.217i | 1.50074 | + | 0.192627i | ||||
\(921\) | −1048.71 | − | 1164.71i | −1.13866 | − | 1.26461i | ||||
\(922\) | −1019.40 | − | 662.007i | −1.10564 | − | 0.718012i | ||||
\(923\) | 105.969 | − | 669.063i | 0.114809 | − | 0.724878i | ||||
\(924\) | −2943.07 | + | 1933.29i | −3.18514 | + | 2.09231i | ||||
\(925\) | 497.524 | − | 366.426i | 0.537864 | − | 0.396136i | ||||
\(926\) | 197.481 | + | 342.047i | 0.213262 | + | 0.369381i | ||||
\(927\) | −1266.01 | + | 1563.40i | −1.36571 | + | 1.68651i | ||||
\(928\) | 94.2087 | + | 4.93727i | 0.101518 | + | 0.00532033i | ||||
\(929\) | −27.8752 | − | 131.143i | −0.0300056 | − | 0.141165i | 0.960595 | − | 0.277952i | \(-0.0896557\pi\) |
−0.990600 | + | 0.136787i | \(0.956322\pi\) | |||||||
\(930\) | 60.1968 | + | 734.414i | 0.0647278 | + | 0.789693i | ||||
\(931\) | 309.856 | + | 676.738i | 0.332821 | + | 0.726894i | ||||
\(932\) | 54.9065 | + | 54.9065i | 0.0589125 | + | 0.0589125i | ||||
\(933\) | 124.671 | + | 2378.86i | 0.133623 | + | 2.54968i | ||||
\(934\) | −895.406 | − | 2011.12i | −0.958679 | − | 2.15323i | ||||
\(935\) | −1168.87 | + | 902.940i | −1.25012 | + | 0.965712i | ||||
\(936\) | −3384.45 | − | 1506.85i | −3.61586 | − | 1.60989i | ||||
\(937\) | −251.610 | − | 1588.60i | −0.268527 | − | 1.69541i | −0.641138 | − | 0.767425i | \(-0.721538\pi\) |
0.372611 | − | 0.927987i | \(-0.378462\pi\) | |||||||
\(938\) | 9.98733 | + | 10.9756i | 0.0106475 | + | 0.0117011i | ||||
\(939\) | 785.110 | + | 1080.61i | 0.836113 | + | 1.15081i | ||||
\(940\) | 461.287 | − | 62.2522i | 0.490731 | − | 0.0662257i | ||||
\(941\) | −1594.95 | + | 710.117i | −1.69495 | + | 0.754641i | −0.695607 | + | 0.718423i | \(0.744864\pi\) |
−0.999344 | + | 0.0362183i | \(0.988469\pi\) | |||||||
\(942\) | −676.683 | − | 1042.00i | −0.718347 | − | 1.10616i | ||||
\(943\) | −1288.01 | − | 345.120i | −1.36586 | − | 0.365981i | ||||
\(944\) | −1196.94 | + | 388.908i | −1.26794 | + | 0.411979i | ||||
\(945\) | 212.452 | − | 525.482i | 0.224817 | − | 0.556066i | ||||
\(946\) | 162.316 | − | 499.557i | 0.171581 | − | 0.528073i | ||||
\(947\) | 295.464 | + | 191.876i | 0.312000 | + | 0.202615i | 0.691134 | − | 0.722727i | \(-0.257111\pi\) |
−0.379134 | + | 0.925342i | \(0.623778\pi\) | |||||||
\(948\) | −3238.55 | − | 2622.52i | −3.41619 | − | 2.76638i | ||||
\(949\) | 1991.04 | + | 1149.53i | 2.09804 | + | 1.21131i | ||||
\(950\) | 535.010 | − | 1222.94i | 0.563169 | − | 1.28730i | ||||
\(951\) | −1137.50 | −1.19611 | ||||||||
\(952\) | 2426.21 | + | 242.136i | 2.54854 | + | 0.254345i | ||||
\(953\) | 842.579 | + | 1653.65i | 0.884133 | + | 1.73521i | 0.644934 | + | 0.764238i | \(0.276885\pi\) |
0.239199 | + | 0.970971i | \(0.423115\pi\) | |||||||
\(954\) | 192.903 | + | 907.535i | 0.202204 | + | 0.951295i | ||||
\(955\) | 122.837 | − | 957.014i | 0.128625 | − | 1.00211i | ||||
\(956\) | −3118.77 | − | 662.915i | −3.26231 | − | 0.693426i | ||||
\(957\) | 140.582 | − | 524.661i | 0.146899 | − | 0.548235i | ||||
\(958\) | 433.702 | + | 220.982i | 0.452716 | + | 0.230670i | ||||
\(959\) | −159.121 | + | 247.863i | −0.165923 | + | 0.258460i | ||||
\(960\) | 545.967 | + | 884.486i | 0.568716 | + | 0.921340i | ||||
\(961\) | −803.203 | − | 357.609i | −0.835799 | − | 0.372122i | ||||
\(962\) | 1570.83 | + | 602.985i | 1.63288 | + | 0.626804i | ||||
\(963\) | 243.958 | − | 635.533i | 0.253332 | − | 0.659951i | ||||
\(964\) | −206.414 | + | 463.613i | −0.214122 | + | 0.480926i | ||||
\(965\) | −182.620 | − | 749.945i | −0.189244 | − | 0.777145i | ||||
\(966\) | −1843.09 | + | 951.321i | −1.90796 | + | 0.984804i | ||||
\(967\) | 784.323 | − | 1539.32i | 0.811089 | − | 1.59185i | 0.00505204 | − | 0.999987i | \(-0.498392\pi\) |
0.806037 | − | 0.591865i | \(-0.201608\pi\) | |||||||
\(968\) | 704.288 | + | 188.713i | 0.727570 | + | 0.194952i | ||||
\(969\) | 333.074 | − | 1566.99i | 0.343730 | − | 1.61712i | ||||
\(970\) | 940.827 | + | 887.031i | 0.969925 | + | 0.914465i | ||||
\(971\) | 641.918 | − | 136.444i | 0.661090 | − | 0.140519i | 0.134864 | − | 0.990864i | \(-0.456940\pi\) |
0.526226 | + | 0.850345i | \(0.323607\pi\) | |||||||
\(972\) | 2374.67 | − | 1209.96i | 2.44308 | − | 1.24481i | ||||
\(973\) | −240.403 | + | 108.550i | −0.247074 | + | 0.111562i | ||||
\(974\) | 2708.45i | 2.78075i | ||||||||
\(975\) | 2240.78 | − | 132.014i | 2.29824 | − | 0.135399i | ||||
\(976\) | −127.532 | + | 220.892i | −0.130668 | + | 0.226324i | ||||
\(977\) | −566.854 | + | 700.006i | −0.580198 | + | 0.716485i | −0.979750 | − | 0.200225i | \(-0.935833\pi\) |
0.399551 | + | 0.916711i | \(0.369166\pi\) | |||||||
\(978\) | −47.9477 | + | 73.8330i | −0.0490263 | + | 0.0754939i | ||||
\(979\) | 66.3817 | + | 21.5687i | 0.0678056 | + | 0.0220314i | ||||
\(980\) | −1954.73 | + | 608.357i | −1.99463 | + | 0.620773i | ||||
\(981\) | 69.9136 | + | 215.172i | 0.0712677 | + | 0.219340i | ||||
\(982\) | 147.556 | − | 550.688i | 0.150261 | − | 0.560782i | ||||
\(983\) | −1144.93 | + | 743.528i | −1.16473 | + | 0.756387i | −0.974287 | − | 0.225311i | \(-0.927660\pi\) |
−0.190446 | + | 0.981698i | \(0.560993\pi\) | |||||||
\(984\) | 2117.45 | + | 4755.87i | 2.15188 | + | 4.83320i | ||||
\(985\) | −605.250 | + | 291.103i | −0.614467 | + | 0.295536i | ||||
\(986\) | −583.696 | + | 424.080i | −0.591984 | + | 0.430101i | ||||
\(987\) | −267.412 | + | 243.333i | −0.270934 | + | 0.246538i | ||||
\(988\) | 2427.91 | − | 384.543i | 2.45740 | − | 0.389213i | ||||
\(989\) | 85.1037 | − | 191.146i | 0.0860502 | − | 0.193272i | ||||
\(990\) | −2684.59 | + | 960.474i | −2.71171 | + | 0.970176i | ||||
\(991\) | −818.963 | + | 364.626i | −0.826401 | + | 0.367937i | −0.775954 | − | 0.630789i | \(-0.782731\pi\) |
−0.0504468 | + | 0.998727i | \(0.516065\pi\) | |||||||
\(992\) | −94.4269 | + | 4.94871i | −0.0951884 | + | 0.00498861i | ||||
\(993\) | 456.483 | − | 456.483i | 0.459701 | − | 0.459701i | ||||
\(994\) | −130.170 | + | 850.738i | −0.130956 | + | 0.855874i | ||||
\(995\) | 1467.30 | + | 892.631i | 1.47468 | + | 0.897117i | ||||
\(996\) | 5709.26 | − | 1213.54i | 5.73219 | − | 1.21841i | ||||
\(997\) | −32.5573 | + | 621.230i | −0.0326553 | + | 0.623099i | 0.932460 | + | 0.361274i | \(0.117658\pi\) |
−0.965115 | + | 0.261826i | \(0.915675\pi\) | |||||||
\(998\) | 592.176 | + | 479.535i | 0.593363 | + | 0.480496i | ||||
\(999\) | 346.635 | − | 200.130i | 0.346982 | − | 0.200330i |
(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 | 175.3.w.a.102.37 | yes | 608 | |
7.2 | even | 3 | inner | 175.3.w.a.2.37 | ✓ | 608 | |
25.13 | odd | 20 | inner | 175.3.w.a.88.37 | yes | 608 | |
175.163 | odd | 60 | inner | 175.3.w.a.163.37 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.3.w.a.2.37 | ✓ | 608 | 7.2 | even | 3 | inner | |
175.3.w.a.88.37 | yes | 608 | 25.13 | odd | 20 | inner | |
175.3.w.a.102.37 | yes | 608 | 1.1 | even | 1 | trivial | |
175.3.w.a.163.37 | yes | 608 | 175.163 | odd | 60 | inner |