Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Character | \(\chi\) | \(=\) | 189.85 |
Dual form | 189.2.v.b.169.1 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.47328 | − | 0.900200i | −1.74887 | − | 0.636538i | −0.749206 | − | 0.662337i | \(-0.769565\pi\) |
−0.999667 | + | 0.0257998i | \(0.991787\pi\) | |||||||
\(3\) | −0.969270 | + | 1.43545i | −0.559608 | + | 0.828757i | ||||
\(4\) | 3.77466 | + | 3.16732i | 1.88733 | + | 1.58366i | ||||
\(5\) | −0.697772 | + | 3.95726i | −0.312053 | + | 1.76974i | 0.276234 | + | 0.961090i | \(0.410914\pi\) |
−0.588287 | + | 0.808652i | \(0.700198\pi\) | |||||||
\(6\) | 3.68947 | − | 2.67773i | 1.50622 | − | 1.09318i | ||||
\(7\) | −0.766044 | + | 0.642788i | −0.289538 | + | 0.242951i | ||||
\(8\) | −3.85257 | − | 6.67284i | −1.36209 | − | 2.35921i | ||||
\(9\) | −1.12103 | − | 2.78268i | −0.373678 | − | 0.927559i | ||||
\(10\) | 5.28812 | − | 9.15929i | 1.67225 | − | 2.89642i | ||||
\(11\) | −0.0973664 | − | 0.552192i | −0.0293571 | − | 0.166492i | 0.966605 | − | 0.256273i | \(-0.0824945\pi\) |
−0.995962 | + | 0.0897806i | \(0.971383\pi\) | |||||||
\(12\) | −8.20519 | + | 2.34835i | −2.36864 | + | 0.677911i | ||||
\(13\) | −1.05869 | + | 0.385333i | −0.293629 | + | 0.106872i | −0.484634 | − | 0.874717i | \(-0.661047\pi\) |
0.191006 | + | 0.981589i | \(0.438825\pi\) | |||||||
\(14\) | 2.47328 | − | 0.900200i | 0.661012 | − | 0.240589i | ||||
\(15\) | −5.00412 | − | 4.83727i | −1.29206 | − | 1.24898i | ||||
\(16\) | 1.81029 | + | 10.2667i | 0.452572 | + | 2.56666i | ||||
\(17\) | −0.215939 | + | 0.374018i | −0.0523730 | + | 0.0907127i | −0.891023 | − | 0.453957i | \(-0.850012\pi\) |
0.838650 | + | 0.544670i | \(0.183345\pi\) | |||||||
\(18\) | 0.267661 | + | 7.89149i | 0.0630884 | + | 1.86004i | ||||
\(19\) | 1.21001 | + | 2.09580i | 0.277596 | + | 0.480810i | 0.970787 | − | 0.239944i | \(-0.0771291\pi\) |
−0.693191 | + | 0.720754i | \(0.743796\pi\) | |||||||
\(20\) | −15.1678 | + | 12.7273i | −3.39162 | + | 2.84590i | ||||
\(21\) | −0.180186 | − | 1.72265i | −0.0393197 | − | 0.375914i | ||||
\(22\) | −0.256269 | + | 1.45337i | −0.0546368 | + | 0.309860i | ||||
\(23\) | −4.41042 | − | 3.70078i | −0.919636 | − | 0.771666i | 0.0542920 | − | 0.998525i | \(-0.482710\pi\) |
−0.973928 | + | 0.226859i | \(0.927154\pi\) | |||||||
\(24\) | 13.3127 | + | 0.937617i | 2.71744 | + | 0.191390i | ||||
\(25\) | −10.4746 | − | 3.81244i | −2.09492 | − | 0.762488i | ||||
\(26\) | 2.96532 | 0.581547 | ||||||||
\(27\) | 5.08097 | + | 1.08798i | 0.977834 | + | 0.209381i | ||||
\(28\) | −4.92747 | −0.931205 | ||||||||
\(29\) | 5.19875 | + | 1.89219i | 0.965383 | + | 0.351371i | 0.776141 | − | 0.630560i | \(-0.217175\pi\) |
0.189242 | + | 0.981930i | \(0.439397\pi\) | |||||||
\(30\) | 8.02209 | + | 16.4686i | 1.46463 | + | 3.00675i | ||||
\(31\) | −5.02464 | − | 4.21618i | −0.902452 | − | 0.757248i | 0.0682157 | − | 0.997671i | \(-0.478269\pi\) |
−0.970668 | + | 0.240423i | \(0.922714\pi\) | |||||||
\(32\) | 2.08873 | − | 11.8458i | 0.369239 | − | 2.09406i | ||||
\(33\) | 0.887018 | + | 0.395458i | 0.154410 | + | 0.0688405i | ||||
\(34\) | 0.870770 | − | 0.730663i | 0.149336 | − | 0.125308i | ||||
\(35\) | −2.00916 | − | 3.47996i | −0.339609 | − | 0.588221i | ||||
\(36\) | 4.58210 | − | 14.0543i | 0.763683 | − | 2.34239i | ||||
\(37\) | −4.67073 | + | 8.08995i | −0.767864 | + | 1.32998i | 0.170855 | + | 0.985296i | \(0.445347\pi\) |
−0.938719 | + | 0.344683i | \(0.887986\pi\) | |||||||
\(38\) | −1.10606 | − | 6.27275i | −0.179426 | − | 1.01758i | ||||
\(39\) | 0.473033 | − | 1.89319i | 0.0757459 | − | 0.303153i | ||||
\(40\) | 29.0944 | − | 10.5895i | 4.60023 | − | 1.67435i | ||||
\(41\) | 5.27652 | − | 1.92050i | 0.824054 | − | 0.299931i | 0.104638 | − | 0.994510i | \(-0.466632\pi\) |
0.719416 | + | 0.694579i | \(0.244409\pi\) | |||||||
\(42\) | −1.10508 | + | 4.42281i | −0.170518 | + | 0.682454i | ||||
\(43\) | −0.957373 | − | 5.42953i | −0.145998 | − | 0.827996i | −0.966560 | − | 0.256439i | \(-0.917451\pi\) |
0.820563 | − | 0.571557i | \(-0.193660\pi\) | |||||||
\(44\) | 1.38144 | − | 2.39273i | 0.208260 | − | 0.360717i | ||||
\(45\) | 11.7940 | − | 2.49455i | 1.75815 | − | 0.371865i | ||||
\(46\) | 7.57675 | + | 13.1233i | 1.11713 | + | 1.93493i | ||||
\(47\) | −2.21505 | + | 1.85865i | −0.323098 | + | 0.271111i | −0.789881 | − | 0.613261i | \(-0.789857\pi\) |
0.466783 | + | 0.884372i | \(0.345413\pi\) | |||||||
\(48\) | −16.4919 | − | 7.35258i | −2.38041 | − | 1.06125i | ||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | 22.4746 | + | 18.8585i | 3.17839 | + | 2.66699i | ||||
\(51\) | −0.327581 | − | 0.672495i | −0.0458705 | − | 0.0941681i | ||||
\(52\) | −5.21668 | − | 1.89872i | −0.723423 | − | 0.263305i | ||||
\(53\) | −1.94409 | −0.267041 | −0.133521 | − | 0.991046i | \(-0.542628\pi\) | ||||
−0.133521 | + | 0.991046i | \(0.542628\pi\) | |||||||
\(54\) | −11.5873 | − | 7.26477i | −1.57683 | − | 0.988610i | ||||
\(55\) | 2.25311 | 0.303809 | ||||||||
\(56\) | 7.24046 | + | 2.63531i | 0.967547 | + | 0.352158i | ||||
\(57\) | −4.18124 | − | 0.294486i | −0.553819 | − | 0.0390056i | ||||
\(58\) | −11.1546 | − | 9.35983i | −1.46467 | − | 1.22901i | ||||
\(59\) | −0.423870 | + | 2.40389i | −0.0551832 | + | 0.312960i | −0.999888 | − | 0.0149623i | \(-0.995237\pi\) |
0.944705 | + | 0.327922i | \(0.106348\pi\) | |||||||
\(60\) | −3.56770 | − | 34.1087i | −0.460588 | − | 4.40342i | ||||
\(61\) | −9.15246 | + | 7.67983i | −1.17185 | + | 0.983301i | −0.999998 | − | 0.00182146i | \(-0.999420\pi\) |
−0.171854 | + | 0.985122i | \(0.554976\pi\) | |||||||
\(62\) | 8.63194 | + | 14.9510i | 1.09626 | + | 1.89877i | ||||
\(63\) | 2.64743 | + | 1.41107i | 0.333545 | + | 0.177778i | ||||
\(64\) | −5.40456 | + | 9.36098i | −0.675570 | + | 1.17012i | ||||
\(65\) | −0.786137 | − | 4.45840i | −0.0975082 | − | 0.552997i | ||||
\(66\) | −1.83785 | − | 1.77657i | −0.226224 | − | 0.218681i | ||||
\(67\) | 2.90371 | − | 1.05686i | 0.354745 | − | 0.129116i | −0.158500 | − | 0.987359i | \(-0.550666\pi\) |
0.513244 | + | 0.858243i | \(0.328443\pi\) | |||||||
\(68\) | −1.99973 | + | 0.727843i | −0.242503 | + | 0.0882640i | ||||
\(69\) | 9.58717 | − | 2.74388i | 1.15416 | − | 0.330324i | ||||
\(70\) | 1.83654 | + | 10.4156i | 0.219509 | + | 1.24490i | ||||
\(71\) | −2.15270 | + | 3.72858i | −0.255478 | + | 0.442501i | −0.965025 | − | 0.262157i | \(-0.915566\pi\) |
0.709547 | + | 0.704658i | \(0.248900\pi\) | |||||||
\(72\) | −14.2495 | + | 18.2009i | −1.67932 | + | 2.14500i | ||||
\(73\) | 5.02632 | + | 8.70583i | 0.588286 | + | 1.01894i | 0.994457 | + | 0.105144i | \(0.0335303\pi\) |
−0.406171 | + | 0.913797i | \(0.633136\pi\) | |||||||
\(74\) | 18.8346 | − | 15.8041i | 2.18948 | − | 1.83719i | ||||
\(75\) | 15.6253 | − | 11.3405i | 1.80425 | − | 1.30948i | ||||
\(76\) | −2.07068 | + | 11.7434i | −0.237524 | + | 1.34706i | ||||
\(77\) | 0.429529 | + | 0.360418i | 0.0489494 | + | 0.0410734i | ||||
\(78\) | −2.87419 | + | 4.25657i | −0.325438 | + | 0.481961i | ||||
\(79\) | 2.40190 | + | 0.874220i | 0.270235 | + | 0.0983574i | 0.473583 | − | 0.880749i | \(-0.342960\pi\) |
−0.203349 | + | 0.979106i | \(0.565182\pi\) | |||||||
\(80\) | −41.8911 | −4.68356 | ||||||||
\(81\) | −6.48657 | + | 6.23894i | −0.720730 | + | 0.693216i | ||||
\(82\) | −14.7791 | −1.63208 | ||||||||
\(83\) | 1.01357 | + | 0.368908i | 0.111253 | + | 0.0404929i | 0.397047 | − | 0.917798i | \(-0.370035\pi\) |
−0.285794 | + | 0.958291i | \(0.592257\pi\) | |||||||
\(84\) | 4.77605 | − | 7.07314i | 0.521110 | − | 0.771743i | ||||
\(85\) | −1.32941 | − | 1.11551i | −0.144195 | − | 0.120994i | ||||
\(86\) | −2.51981 | + | 14.2906i | −0.271718 | + | 1.54099i | ||||
\(87\) | −7.75513 | + | 5.62850i | −0.831437 | + | 0.603438i | ||||
\(88\) | −3.30958 | + | 2.77707i | −0.352802 | + | 0.296036i | ||||
\(89\) | 2.00165 | + | 3.46696i | 0.212175 | + | 0.367497i | 0.952395 | − | 0.304867i | \(-0.0986121\pi\) |
−0.740220 | + | 0.672365i | \(0.765279\pi\) | |||||||
\(90\) | −31.4155 | − | 4.44726i | −3.31148 | − | 0.468782i | ||||
\(91\) | 0.563319 | − | 0.975697i | 0.0590518 | − | 0.102281i | ||||
\(92\) | −4.92629 | − | 27.9384i | −0.513601 | − | 2.91278i | ||||
\(93\) | 10.9223 | − | 3.12601i | 1.13259 | − | 0.324152i | ||||
\(94\) | 7.15158 | − | 2.60296i | 0.737630 | − | 0.268475i | ||||
\(95\) | −9.13795 | + | 3.32594i | −0.937534 | + | 0.341234i | ||||
\(96\) | 14.9795 | + | 14.4800i | 1.52884 | + | 1.47786i | ||||
\(97\) | 2.64430 | + | 14.9966i | 0.268488 | + | 1.52267i | 0.758917 | + | 0.651188i | \(0.225729\pi\) |
−0.490429 | + | 0.871481i | \(0.663160\pi\) | |||||||
\(98\) | −1.31600 | + | 2.27939i | −0.132937 | + | 0.230253i | ||||
\(99\) | −1.42742 | + | 0.889964i | −0.143461 | + | 0.0894448i | ||||
\(100\) | −27.4628 | − | 47.5670i | −2.74628 | − | 4.75670i | ||||
\(101\) | −12.0008 | + | 10.0698i | −1.19412 | + | 1.00199i | −0.194343 | + | 0.980934i | \(0.562258\pi\) |
−0.999778 | + | 0.0210535i | \(0.993298\pi\) | |||||||
\(102\) | 0.204819 | + | 1.95816i | 0.0202801 | + | 0.193886i | ||||
\(103\) | 2.04850 | − | 11.6176i | 0.201845 | − | 1.14472i | −0.700483 | − | 0.713669i | \(-0.747032\pi\) |
0.902328 | − | 0.431050i | \(-0.141857\pi\) | |||||||
\(104\) | 6.64995 | + | 5.57997i | 0.652081 | + | 0.547161i | ||||
\(105\) | 6.94272 | + | 0.488977i | 0.677540 | + | 0.0477193i | ||||
\(106\) | 4.80828 | + | 1.75007i | 0.467021 | + | 0.169982i | ||||
\(107\) | 7.60347 | 0.735055 | 0.367528 | − | 0.930013i | \(-0.380204\pi\) | ||||
0.367528 | + | 0.930013i | \(0.380204\pi\) | |||||||
\(108\) | 15.7330 | + | 20.1998i | 1.51391 | + | 1.94373i | ||||
\(109\) | 0.356177 | 0.0341155 | 0.0170578 | − | 0.999855i | \(-0.494570\pi\) | ||||
0.0170578 | + | 0.999855i | \(0.494570\pi\) | |||||||
\(110\) | −5.57257 | − | 2.02825i | −0.531324 | − | 0.193386i | ||||
\(111\) | −7.08551 | − | 14.5459i | −0.672527 | − | 1.38064i | ||||
\(112\) | −7.98604 | − | 6.70109i | −0.754610 | − | 0.633193i | ||||
\(113\) | −2.81086 | + | 15.9412i | −0.264423 | + | 1.49962i | 0.506250 | + | 0.862387i | \(0.331031\pi\) |
−0.770673 | + | 0.637231i | \(0.780080\pi\) | |||||||
\(114\) | 10.0763 | + | 4.49230i | 0.943731 | + | 0.420743i | ||||
\(115\) | 17.7224 | − | 14.8709i | 1.65263 | − | 1.38672i | ||||
\(116\) | 13.6304 | + | 23.6085i | 1.26555 | + | 2.19199i | ||||
\(117\) | 2.25908 | + | 2.51403i | 0.208852 | + | 0.232422i | ||||
\(118\) | 3.21233 | − | 5.56392i | 0.295719 | − | 0.512200i | ||||
\(119\) | −0.0749950 | − | 0.425318i | −0.00687478 | − | 0.0389888i | ||||
\(120\) | −12.9996 | + | 52.0277i | −1.18670 | + | 4.74945i | ||||
\(121\) | 10.0412 | − | 3.65469i | 0.912835 | − | 0.332245i | ||||
\(122\) | 29.5500 | − | 10.7553i | 2.67533 | − | 0.973740i | ||||
\(123\) | −2.35759 | + | 9.43566i | −0.212577 | + | 0.850785i | ||||
\(124\) | −5.61236 | − | 31.8293i | −0.504005 | − | 2.85835i | ||||
\(125\) | 12.3499 | − | 21.3907i | 1.10461 | − | 1.91324i | ||||
\(126\) | −5.27759 | − | 5.87318i | −0.470165 | − | 0.523225i | ||||
\(127\) | −1.84541 | − | 3.19635i | −0.163754 | − | 0.283630i | 0.772458 | − | 0.635066i | \(-0.219027\pi\) |
−0.936212 | + | 0.351436i | \(0.885694\pi\) | |||||||
\(128\) | 3.36497 | − | 2.82354i | 0.297424 | − | 0.249568i | ||||
\(129\) | 8.72177 | + | 3.88842i | 0.767909 | + | 0.342356i | ||||
\(130\) | −2.06912 | + | 11.7346i | −0.181474 | + | 1.02919i | ||||
\(131\) | −9.65634 | − | 8.10263i | −0.843678 | − | 0.707930i | 0.114710 | − | 0.993399i | \(-0.463406\pi\) |
−0.958388 | + | 0.285469i | \(0.907851\pi\) | |||||||
\(132\) | 2.09565 | + | 4.30219i | 0.182403 | + | 0.374458i | ||||
\(133\) | −2.27408 | − | 0.827696i | −0.197188 | − | 0.0717704i | ||||
\(134\) | −8.13307 | −0.702590 | ||||||||
\(135\) | −7.85078 | + | 19.3476i | −0.675688 | + | 1.66518i | ||||
\(136\) | 3.32769 | 0.285347 | ||||||||
\(137\) | −8.03606 | − | 2.92489i | −0.686567 | − | 0.249890i | −0.0249024 | − | 0.999690i | \(-0.507927\pi\) |
−0.661665 | + | 0.749800i | \(0.730150\pi\) | |||||||
\(138\) | −26.1818 | − | 1.84399i | −2.22874 | − | 0.156971i | ||||
\(139\) | −2.00040 | − | 1.67854i | −0.169672 | − | 0.142372i | 0.553998 | − | 0.832518i | \(-0.313102\pi\) |
−0.723670 | + | 0.690146i | \(0.757546\pi\) | |||||||
\(140\) | 3.43825 | − | 19.4993i | 0.290586 | − | 1.64799i | ||||
\(141\) | −0.521014 | − | 4.98112i | −0.0438773 | − | 0.419486i | ||||
\(142\) | 8.68069 | − | 7.28396i | 0.728467 | − | 0.611257i | ||||
\(143\) | 0.315859 | + | 0.547083i | 0.0264134 | + | 0.0457494i | ||||
\(144\) | 26.5394 | − | 16.5467i | 2.21162 | − | 1.37889i | ||||
\(145\) | −11.1154 | + | 19.2525i | −0.923087 | + | 1.59883i | ||||
\(146\) | −4.59449 | − | 26.0567i | −0.380243 | − | 2.15646i | ||||
\(147\) | 1.24533 | + | 1.20381i | 0.102713 | + | 0.0992884i | ||||
\(148\) | −43.2539 | + | 15.7431i | −3.55545 | + | 1.29408i | ||||
\(149\) | −2.94085 | + | 1.07038i | −0.240924 | + | 0.0876890i | −0.459660 | − | 0.888095i | \(-0.652029\pi\) |
0.218736 | + | 0.975784i | \(0.429807\pi\) | |||||||
\(150\) | −48.8544 | + | 13.9823i | −3.98894 | + | 1.14165i | ||||
\(151\) | 2.86032 | + | 16.2217i | 0.232770 | + | 1.32010i | 0.847260 | + | 0.531178i | \(0.178251\pi\) |
−0.614490 | + | 0.788924i | \(0.710638\pi\) | |||||||
\(152\) | 9.32330 | − | 16.1484i | 0.756219 | − | 1.30981i | ||||
\(153\) | 1.28285 | + | 0.181603i | 0.103712 | + | 0.0146817i | ||||
\(154\) | −0.737898 | − | 1.27808i | −0.0594615 | − | 0.102990i | ||||
\(155\) | 20.1906 | − | 16.9419i | 1.62175 | − | 1.36081i | ||||
\(156\) | 7.78188 | − | 5.64791i | 0.623049 | − | 0.452195i | ||||
\(157\) | 2.23944 | − | 12.7005i | 0.178727 | − | 1.01361i | −0.755027 | − | 0.655693i | \(-0.772376\pi\) |
0.933754 | − | 0.357916i | \(-0.116513\pi\) | |||||||
\(158\) | −5.15359 | − | 4.32438i | −0.409998 | − | 0.344029i | ||||
\(159\) | 1.88435 | − | 2.79064i | 0.149438 | − | 0.221312i | ||||
\(160\) | 45.4195 | + | 16.5313i | 3.59072 | + | 1.30692i | ||||
\(161\) | 5.75739 | 0.453746 | ||||||||
\(162\) | 21.6594 | − | 9.59143i | 1.70172 | − | 0.753574i | ||||
\(163\) | 13.6246 | 1.06716 | 0.533579 | − | 0.845750i | \(-0.320847\pi\) | ||||
0.533579 | + | 0.845750i | \(0.320847\pi\) | |||||||
\(164\) | 25.9999 | + | 9.46319i | 2.03025 | + | 0.738951i | ||||
\(165\) | −2.18387 | + | 3.23423i | −0.170014 | + | 0.251784i | ||||
\(166\) | −2.17474 | − | 1.82483i | −0.168793 | − | 0.141634i | ||||
\(167\) | −0.747512 | + | 4.23935i | −0.0578442 | + | 0.328051i | −0.999974 | − | 0.00719730i | \(-0.997709\pi\) |
0.942130 | + | 0.335248i | \(0.108820\pi\) | |||||||
\(168\) | −10.8008 | + | 7.83899i | −0.833301 | + | 0.604791i | ||||
\(169\) | −8.98623 | + | 7.54034i | −0.691248 | + | 0.580026i | ||||
\(170\) | 2.28383 | + | 3.95570i | 0.175161 | + | 0.303389i | ||||
\(171\) | 4.47547 | − | 5.71653i | 0.342248 | − | 0.437154i | ||||
\(172\) | 13.5833 | − | 23.5269i | 1.03572 | − | 1.79391i | ||||
\(173\) | 2.93546 | + | 16.6478i | 0.223179 | + | 1.26571i | 0.866137 | + | 0.499807i | \(0.166596\pi\) |
−0.642958 | + | 0.765902i | \(0.722293\pi\) | |||||||
\(174\) | 24.2474 | − | 6.93968i | 1.83819 | − | 0.526096i | ||||
\(175\) | 10.4746 | − | 3.81244i | 0.791805 | − | 0.288193i | ||||
\(176\) | 5.49291 | − | 1.99925i | 0.414043 | − | 0.150699i | ||||
\(177\) | −3.03982 | − | 2.93846i | −0.228487 | − | 0.220868i | ||||
\(178\) | −1.82968 | − | 10.3767i | −0.137141 | − | 0.777763i | ||||
\(179\) | −6.06031 | + | 10.4968i | −0.452969 | + | 0.784566i | −0.998569 | − | 0.0534803i | \(-0.982969\pi\) |
0.545600 | + | 0.838046i | \(0.316302\pi\) | |||||||
\(180\) | 52.4194 | + | 27.9393i | 3.90711 | + | 2.08247i | ||||
\(181\) | −3.91484 | − | 6.78070i | −0.290988 | − | 0.504005i | 0.683056 | − | 0.730366i | \(-0.260651\pi\) |
−0.974044 | + | 0.226361i | \(0.927317\pi\) | |||||||
\(182\) | −2.27157 | + | 1.90607i | −0.168380 | + | 0.141287i | ||||
\(183\) | −2.15280 | − | 20.5817i | −0.159140 | − | 1.52144i | ||||
\(184\) | −7.70329 | + | 43.6875i | −0.567894 | + | 3.22069i | ||||
\(185\) | −28.7549 | − | 24.1283i | −2.11411 | − | 1.77395i | ||||
\(186\) | −29.8280 | − | 2.10080i | −2.18710 | − | 0.154038i | ||||
\(187\) | 0.227555 | + | 0.0828233i | 0.0166405 | + | 0.00605664i | ||||
\(188\) | −14.2480 | −1.03914 | ||||||||
\(189\) | −4.59159 | + | 2.43255i | −0.333989 | + | 0.176942i | ||||
\(190\) | 25.5947 | 1.85684 | ||||||||
\(191\) | −23.3768 | − | 8.50848i | −1.69149 | − | 0.615652i | −0.696677 | − | 0.717385i | \(-0.745339\pi\) |
−0.994812 | + | 0.101733i | \(0.967561\pi\) | |||||||
\(192\) | −8.19873 | − | 16.8313i | −0.591693 | − | 1.21469i | ||||
\(193\) | −4.31736 | − | 3.62270i | −0.310771 | − | 0.260767i | 0.474040 | − | 0.880503i | \(-0.342795\pi\) |
−0.784810 | + | 0.619736i | \(0.787240\pi\) | |||||||
\(194\) | 6.95981 | − | 39.4711i | 0.499685 | − | 2.83386i | ||||
\(195\) | 7.16179 | + | 3.19293i | 0.512866 | + | 0.228651i | ||||
\(196\) | 3.77466 | − | 3.16732i | 0.269619 | − | 0.226237i | ||||
\(197\) | 2.51522 | + | 4.35649i | 0.179202 | + | 0.310387i | 0.941608 | − | 0.336712i | \(-0.109315\pi\) |
−0.762405 | + | 0.647100i | \(0.775982\pi\) | |||||||
\(198\) | 4.33156 | − | 0.916166i | 0.307830 | − | 0.0651091i | ||||
\(199\) | −5.22274 | + | 9.04606i | −0.370230 | + | 0.641258i | −0.989601 | − | 0.143841i | \(-0.954055\pi\) |
0.619370 | + | 0.785099i | \(0.287388\pi\) | |||||||
\(200\) | 14.9143 | + | 84.5830i | 1.05460 | + | 5.98092i | ||||
\(201\) | −1.29740 | + | 5.19251i | −0.0915117 | + | 0.366252i | ||||
\(202\) | 38.7461 | − | 14.1024i | 2.72617 | − | 0.992245i | ||||
\(203\) | −5.19875 | + | 1.89219i | −0.364880 | + | 0.132806i | ||||
\(204\) | 0.893498 | − | 3.57599i | 0.0625574 | − | 0.250370i | ||||
\(205\) | 3.91810 | + | 22.2207i | 0.273652 | + | 1.55196i | ||||
\(206\) | −15.5247 | + | 26.8896i | −1.08166 | + | 1.87349i | ||||
\(207\) | −5.35385 | + | 16.4215i | −0.372118 | + | 1.14137i | ||||
\(208\) | −5.87262 | − | 10.1717i | −0.407193 | − | 0.705279i | ||||
\(209\) | 1.03947 | − | 0.872219i | 0.0719017 | − | 0.0603327i | ||||
\(210\) | −16.7311 | − | 7.45922i | −1.15456 | − | 0.514735i | ||||
\(211\) | −4.61265 | + | 26.1596i | −0.317548 | + | 1.80090i | 0.240017 | + | 0.970769i | \(0.422847\pi\) |
−0.557564 | + | 0.830134i | \(0.688264\pi\) | |||||||
\(212\) | −7.33828 | − | 6.15755i | −0.503995 | − | 0.422902i | ||||
\(213\) | −3.26565 | − | 6.70409i | −0.223758 | − | 0.459356i | ||||
\(214\) | −18.8055 | − | 6.84465i | −1.28552 | − | 0.467890i | ||||
\(215\) | 22.1541 | 1.51090 | ||||||||
\(216\) | −12.3149 | − | 38.0960i | −0.837922 | − | 2.59211i | ||||
\(217\) | 6.55921 | 0.445268 | ||||||||
\(218\) | −0.880925 | − | 0.320630i | −0.0596637 | − | 0.0217158i | ||||
\(219\) | −17.3686 | − | 1.22328i | −1.17366 | − | 0.0826614i | ||||
\(220\) | 8.50473 | + | 7.13631i | 0.573389 | + | 0.481130i | ||||
\(221\) | 0.0844922 | − | 0.479179i | 0.00568356 | − | 0.0322331i | ||||
\(222\) | 4.43019 | + | 42.3546i | 0.297335 | + | 2.84265i | ||||
\(223\) | −5.45482 | + | 4.57713i | −0.365281 | + | 0.306508i | −0.806892 | − | 0.590699i | \(-0.798852\pi\) |
0.441610 | + | 0.897207i | \(0.354407\pi\) | |||||||
\(224\) | 6.01426 | + | 10.4170i | 0.401845 | + | 0.696016i | ||||
\(225\) | 1.13357 | + | 33.4213i | 0.0755716 | + | 2.22808i | ||||
\(226\) | 21.3023 | − | 36.8966i | 1.41701 | − | 2.45433i | ||||
\(227\) | −0.695097 | − | 3.94209i | −0.0461352 | − | 0.261646i | 0.953012 | − | 0.302932i | \(-0.0979655\pi\) |
−0.999147 | + | 0.0412864i | \(0.986854\pi\) | |||||||
\(228\) | −14.8501 | − | 14.3549i | −0.983469 | − | 0.950678i | ||||
\(229\) | −2.90734 | + | 1.05818i | −0.192122 | + | 0.0699268i | −0.436289 | − | 0.899806i | \(-0.643708\pi\) |
0.244167 | + | 0.969733i | \(0.421485\pi\) | |||||||
\(230\) | −57.2193 | + | 20.8261i | −3.77293 | + | 1.37323i | ||||
\(231\) | −0.933691 | + | 0.267226i | −0.0614324 | + | 0.0175822i | ||||
\(232\) | −7.40224 | − | 41.9802i | −0.485981 | − | 2.75614i | ||||
\(233\) | 12.2270 | − | 21.1778i | 0.801017 | − | 1.38740i | −0.117930 | − | 0.993022i | \(-0.537626\pi\) |
0.918947 | − | 0.394380i | \(-0.129041\pi\) | |||||||
\(234\) | −3.32422 | − | 8.25152i | −0.217311 | − | 0.539419i | ||||
\(235\) | −5.80955 | − | 10.0624i | −0.378973 | − | 0.656401i | ||||
\(236\) | −9.21385 | + | 7.73133i | −0.599770 | + | 0.503267i | ||||
\(237\) | −3.58299 | + | 2.60045i | −0.232740 | + | 0.168917i | ||||
\(238\) | −0.197388 | + | 1.11944i | −0.0127947 | + | 0.0725625i | ||||
\(239\) | −1.24287 | − | 1.04290i | −0.0803949 | − | 0.0674593i | 0.601705 | − | 0.798719i | \(-0.294488\pi\) |
−0.682099 | + | 0.731259i | \(0.738933\pi\) | |||||||
\(240\) | 40.6037 | − | 60.1325i | 2.62096 | − | 3.88154i | ||||
\(241\) | 1.08556 | + | 0.395112i | 0.0699272 | + | 0.0254514i | 0.376747 | − | 0.926316i | \(-0.377043\pi\) |
−0.306820 | + | 0.951768i | \(0.599265\pi\) | |||||||
\(242\) | −28.1246 | −1.80792 | ||||||||
\(243\) | −2.66845 | − | 15.3584i | −0.171181 | − | 0.985240i | ||||
\(244\) | −58.8719 | −3.76889 | ||||||||
\(245\) | 3.77598 | + | 1.37434i | 0.241238 | + | 0.0878036i | ||||
\(246\) | 14.3250 | − | 21.2147i | 0.913327 | − | 1.35260i | ||||
\(247\) | −2.08861 | − | 1.75255i | −0.132895 | − | 0.111512i | ||||
\(248\) | −8.77610 | + | 49.7717i | −0.557283 | + | 3.16051i | ||||
\(249\) | −1.51197 | + | 1.09735i | −0.0958171 | + | 0.0695419i | ||||
\(250\) | −49.8008 | + | 41.7878i | −3.14968 | + | 2.64289i | ||||
\(251\) | −1.15632 | − | 2.00281i | −0.0729865 | − | 0.126416i | 0.827222 | − | 0.561875i | \(-0.189920\pi\) |
−0.900209 | + | 0.435458i | \(0.856586\pi\) | |||||||
\(252\) | 5.52386 | + | 13.7116i | 0.347970 | + | 0.863747i | ||||
\(253\) | −1.61411 | + | 2.79573i | −0.101479 | + | 0.175766i | ||||
\(254\) | 1.68687 | + | 9.56670i | 0.105843 | + | 0.600268i | ||||
\(255\) | 2.88982 | − | 0.827075i | 0.180967 | − | 0.0517935i | ||||
\(256\) | 9.45025 | − | 3.43961i | 0.590641 | − | 0.214976i | ||||
\(257\) | 18.9848 | − | 6.90992i | 1.18424 | − | 0.431029i | 0.326544 | − | 0.945182i | \(-0.394116\pi\) |
0.857698 | + | 0.514153i | \(0.171894\pi\) | |||||||
\(258\) | −18.0710 | − | 17.4685i | −1.12505 | − | 1.08754i | ||||
\(259\) | −1.62213 | − | 9.19955i | −0.100794 | − | 0.571632i | ||||
\(260\) | 11.1538 | − | 19.3189i | 0.691728 | − | 1.19811i | ||||
\(261\) | −0.562615 | − | 16.5876i | −0.0348250 | − | 1.02675i | ||||
\(262\) | 16.5888 | + | 28.7327i | 1.02486 | + | 1.77511i | ||||
\(263\) | 5.83075 | − | 4.89258i | 0.359540 | − | 0.301689i | −0.445068 | − | 0.895497i | \(-0.646820\pi\) |
0.804607 | + | 0.593807i | \(0.202376\pi\) | |||||||
\(264\) | −0.778465 | − | 7.44246i | −0.0479112 | − | 0.458052i | ||||
\(265\) | 1.35653 | − | 7.69328i | 0.0833311 | − | 0.472594i | ||||
\(266\) | 4.87934 | + | 4.09425i | 0.299171 | + | 0.251035i | ||||
\(267\) | −6.91679 | − | 0.487151i | −0.423301 | − | 0.0298132i | ||||
\(268\) | 14.3079 | + | 5.20767i | 0.873997 | + | 0.318109i | ||||
\(269\) | 13.1654 | 0.802708 | 0.401354 | − | 0.915923i | \(-0.368540\pi\) | ||||
0.401354 | + | 0.915923i | \(0.368540\pi\) | |||||||
\(270\) | 36.8339 | − | 40.7848i | 2.24164 | − | 2.48208i | ||||
\(271\) | 2.73305 | 0.166021 | 0.0830104 | − | 0.996549i | \(-0.473547\pi\) | ||||
0.0830104 | + | 0.996549i | \(0.473547\pi\) | |||||||
\(272\) | −4.23083 | − | 1.53990i | −0.256532 | − | 0.0933699i | ||||
\(273\) | 0.854556 | + | 1.75433i | 0.0517201 | + | 0.106177i | ||||
\(274\) | 17.2424 | + | 14.4681i | 1.04165 | + | 0.874051i | ||||
\(275\) | −1.08533 | + | 6.15519i | −0.0654476 | + | 0.371172i | ||||
\(276\) | 44.8791 | + | 20.0084i | 2.70140 | + | 1.20436i | ||||
\(277\) | 21.3458 | − | 17.9113i | 1.28255 | − | 1.07618i | 0.289659 | − | 0.957130i | \(-0.406458\pi\) |
0.992888 | − | 0.119055i | \(-0.0379864\pi\) | |||||||
\(278\) | 3.43654 | + | 5.95226i | 0.206110 | + | 0.356993i | ||||
\(279\) | −6.09946 | + | 18.7084i | −0.365165 | + | 1.12004i | ||||
\(280\) | −15.4808 | + | 26.8136i | −0.925156 | + | 1.60242i | ||||
\(281\) | −4.09560 | − | 23.2273i | −0.244323 | − | 1.38562i | −0.822060 | − | 0.569401i | \(-0.807175\pi\) |
0.577737 | − | 0.816223i | \(-0.303936\pi\) | |||||||
\(282\) | −3.19539 | + | 12.7887i | −0.190283 | + | 0.761557i | ||||
\(283\) | −19.0095 | + | 6.91890i | −1.13000 | + | 0.411286i | −0.838292 | − | 0.545222i | \(-0.816445\pi\) |
−0.291707 | + | 0.956508i | \(0.594223\pi\) | |||||||
\(284\) | −19.9353 | + | 7.25586i | −1.18294 | + | 0.430556i | ||||
\(285\) | 4.08292 | − | 16.3408i | 0.241851 | − | 0.967946i | ||||
\(286\) | −0.288722 | − | 1.63743i | −0.0170725 | − | 0.0968230i | ||||
\(287\) | −2.80758 | + | 4.86287i | −0.165726 | + | 0.287046i | ||||
\(288\) | −35.3045 | + | 7.46725i | −2.08034 | + | 0.440012i | ||||
\(289\) | 8.40674 | + | 14.5609i | 0.494514 | + | 0.856524i | ||||
\(290\) | 44.8227 | − | 37.6107i | 2.63208 | − | 2.20858i | ||||
\(291\) | −24.0898 | − | 10.7399i | −1.41217 | − | 0.629587i | ||||
\(292\) | −8.60150 | + | 48.7815i | −0.503365 | + | 2.85472i | ||||
\(293\) | 23.1633 | + | 19.4363i | 1.35322 | + | 1.13548i | 0.978014 | + | 0.208541i | \(0.0668714\pi\) |
0.375203 | + | 0.926943i | \(0.377573\pi\) | |||||||
\(294\) | −1.99638 | − | 4.09840i | −0.116431 | − | 0.239023i | ||||
\(295\) | −9.21706 | − | 3.35473i | −0.536638 | − | 0.195320i | ||||
\(296\) | 71.9772 | 4.18359 | ||||||||
\(297\) | 0.106057 | − | 2.91161i | 0.00615403 | − | 0.168949i | ||||
\(298\) | 8.23710 | 0.477162 | ||||||||
\(299\) | 6.09531 | + | 2.21851i | 0.352501 | + | 0.128300i | ||||
\(300\) | 94.8990 | + | 6.68376i | 5.47900 | + | 0.385887i | ||||
\(301\) | 4.22342 | + | 3.54387i | 0.243434 | + | 0.204266i | ||||
\(302\) | 7.52839 | − | 42.6956i | 0.433210 | − | 2.45686i | ||||
\(303\) | −2.82277 | − | 26.9869i | −0.162164 | − | 1.55036i | ||||
\(304\) | −19.3264 | + | 16.2168i | −1.10845 | + | 0.930096i | ||||
\(305\) | −24.0048 | − | 41.5775i | −1.37451 | − | 2.38072i | ||||
\(306\) | −3.00936 | − | 1.60397i | −0.172034 | − | 0.0916931i | ||||
\(307\) | 8.97681 | − | 15.5483i | 0.512333 | − | 0.887388i | −0.487564 | − | 0.873087i | \(-0.662115\pi\) |
0.999898 | − | 0.0143005i | \(-0.00455213\pi\) | |||||||
\(308\) | 0.479770 | + | 2.72091i | 0.0273374 | + | 0.155038i | ||||
\(309\) | 14.6910 | + | 14.2011i | 0.835741 | + | 0.807875i | ||||
\(310\) | −65.1881 | + | 23.7265i | −3.70243 | + | 1.34758i | ||||
\(311\) | −8.03058 | + | 2.92289i | −0.455373 | + | 0.165742i | −0.559515 | − | 0.828820i | \(-0.689013\pi\) |
0.104142 | + | 0.994562i | \(0.466790\pi\) | |||||||
\(312\) | −14.4554 | + | 4.13717i | −0.818374 | + | 0.234221i | ||||
\(313\) | −0.483473 | − | 2.74191i | −0.0273275 | − | 0.154982i | 0.968091 | − | 0.250601i | \(-0.0806282\pi\) |
−0.995418 | + | 0.0956187i | \(0.969517\pi\) | |||||||
\(314\) | −16.9717 | + | 29.3959i | −0.957771 | + | 1.65891i | ||||
\(315\) | −7.43127 | + | 9.49198i | −0.418705 | + | 0.534812i | ||||
\(316\) | 6.29743 | + | 10.9075i | 0.354258 | + | 0.613593i | ||||
\(317\) | −0.505874 | + | 0.424479i | −0.0284127 | + | 0.0238411i | −0.656883 | − | 0.753992i | \(-0.728126\pi\) |
0.628471 | + | 0.777833i | \(0.283681\pi\) | |||||||
\(318\) | −7.17266 | + | 5.20575i | −0.402223 | + | 0.291924i | ||||
\(319\) | 0.538669 | − | 3.05494i | 0.0301597 | − | 0.171044i | ||||
\(320\) | −33.2727 | − | 27.9191i | −1.86000 | − | 1.56073i | ||||
\(321\) | −7.36981 | + | 10.9144i | −0.411343 | + | 0.609182i | ||||
\(322\) | −14.2396 | − | 5.18280i | −0.793544 | − | 0.288826i | ||||
\(323\) | −1.04516 | −0.0581541 | ||||||||
\(324\) | −44.2453 | + | 3.00486i | −2.45807 | + | 0.166937i | ||||
\(325\) | 12.5584 | 0.696616 | ||||||||
\(326\) | −33.6973 | − | 12.2648i | −1.86632 | − | 0.679286i | ||||
\(327\) | −0.345231 | + | 0.511274i | −0.0190913 | + | 0.0282735i | ||||
\(328\) | −33.1433 | − | 27.8105i | −1.83003 | − | 1.53558i | ||||
\(329\) | 0.502110 | − | 2.84761i | 0.0276822 | − | 0.156994i | ||||
\(330\) | 8.31277 | − | 6.03322i | 0.457603 | − | 0.332118i | ||||
\(331\) | 26.5859 | − | 22.3082i | 1.46129 | − | 1.22617i | 0.537507 | − | 0.843259i | \(-0.319366\pi\) |
0.923785 | − | 0.382910i | \(-0.125078\pi\) | |||||||
\(332\) | 2.65742 | + | 4.60279i | 0.145845 | + | 0.252611i | ||||
\(333\) | 27.7477 | + | 3.92804i | 1.52057 | + | 0.215255i | ||||
\(334\) | 5.66507 | − | 9.81219i | 0.309979 | − | 0.536899i | ||||
\(335\) | 2.15616 | + | 12.2282i | 0.117804 | + | 0.668098i | ||||
\(336\) | 17.3597 | − | 4.96840i | 0.947049 | − | 0.271049i | ||||
\(337\) | 3.16260 | − | 1.15109i | 0.172278 | − | 0.0627041i | −0.254441 | − | 0.967088i | \(-0.581892\pi\) |
0.426719 | + | 0.904384i | \(0.359669\pi\) | |||||||
\(338\) | 29.0133 | − | 10.5600i | 1.57811 | − | 0.574387i | ||||
\(339\) | −20.1583 | − | 19.4861i | −1.09485 | − | 1.05834i | ||||
\(340\) | −1.48491 | − | 8.42134i | −0.0805305 | − | 0.456711i | ||||
\(341\) | −1.83891 | + | 3.18508i | −0.0995824 | + | 0.172482i | ||||
\(342\) | −16.2151 | + | 10.1098i | −0.876813 | + | 0.546673i | ||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | −32.5421 | + | 27.3060i | −1.75455 | + | 1.47224i | ||||
\(345\) | 4.16859 | + | 39.8536i | 0.224430 | + | 2.14564i | ||||
\(346\) | 7.72615 | − | 43.8172i | 0.415360 | − | 2.35563i | ||||
\(347\) | 18.9035 | + | 15.8619i | 1.01479 | + | 0.851514i | 0.988965 | − | 0.148153i | \(-0.0473326\pi\) |
0.0258302 | + | 0.999666i | \(0.491777\pi\) | |||||||
\(348\) | −47.1002 | − | 3.31728i | −2.52484 | − | 0.177825i | ||||
\(349\) | 6.62445 | + | 2.41110i | 0.354598 | + | 0.129063i | 0.513176 | − | 0.858283i | \(-0.328469\pi\) |
−0.158578 | + | 0.987346i | \(0.550691\pi\) | |||||||
\(350\) | −29.3386 | −1.56821 | ||||||||
\(351\) | −5.79842 | + | 0.806031i | −0.309497 | + | 0.0430228i | ||||
\(352\) | −6.74452 | −0.359484 | ||||||||
\(353\) | −7.24900 | − | 2.63842i | −0.385826 | − | 0.140429i | 0.141823 | − | 0.989892i | \(-0.454704\pi\) |
−0.527648 | + | 0.849463i | \(0.676926\pi\) | |||||||
\(354\) | 4.87311 | + | 10.0041i | 0.259003 | + | 0.531711i | ||||
\(355\) | −13.2529 | − | 11.1205i | −0.703390 | − | 0.590214i | ||||
\(356\) | −3.42541 | + | 19.4265i | −0.181547 | + | 1.02960i | ||||
\(357\) | 0.683213 | + | 0.304596i | 0.0361594 | + | 0.0161209i | ||||
\(358\) | 24.4380 | − | 20.5060i | 1.29159 | − | 1.08377i | ||||
\(359\) | 17.2394 | + | 29.8595i | 0.909860 | + | 1.57592i | 0.814257 | + | 0.580504i | \(0.197145\pi\) |
0.0956029 | + | 0.995420i | \(0.469522\pi\) | |||||||
\(360\) | −62.0829 | − | 69.0892i | −3.27206 | − | 3.64132i | ||||
\(361\) | 6.57175 | − | 11.3826i | 0.345881 | − | 0.599084i | ||||
\(362\) | 3.57850 | + | 20.2947i | 0.188082 | + | 1.06667i | ||||
\(363\) | −4.48649 | + | 17.9560i | −0.235480 | + | 0.942445i | ||||
\(364\) | 5.21668 | − | 1.89872i | 0.273428 | − | 0.0995198i | ||||
\(365\) | −37.9585 | + | 13.8158i | −1.98684 | + | 0.723150i | ||||
\(366\) | −13.2032 | + | 52.8423i | −0.690142 | + | 2.76211i | ||||
\(367\) | 4.47920 | + | 25.4028i | 0.233812 | + | 1.32602i | 0.845100 | + | 0.534608i | \(0.179541\pi\) |
−0.611288 | + | 0.791408i | \(0.709348\pi\) | |||||||
\(368\) | 30.0105 | − | 51.9797i | 1.56441 | − | 2.70963i | ||||
\(369\) | −11.2593 | − | 12.5299i | −0.586134 | − | 0.652281i | ||||
\(370\) | 49.3988 | + | 85.5612i | 2.56812 | + | 4.44811i | ||||
\(371\) | 1.48926 | − | 1.24964i | 0.0773185 | − | 0.0648779i | ||||
\(372\) | 51.1292 | + | 22.7949i | 2.65093 | + | 1.18186i | ||||
\(373\) | 4.65224 | − | 26.3842i | 0.240884 | − | 1.36612i | −0.588976 | − | 0.808150i | \(-0.700469\pi\) |
0.829860 | − | 0.557971i | \(-0.188420\pi\) | |||||||
\(374\) | −0.488250 | − | 0.409690i | −0.0252468 | − | 0.0211846i | ||||
\(375\) | 18.7349 | + | 38.4611i | 0.967465 | + | 1.98612i | ||||
\(376\) | 20.9361 | + | 7.62010i | 1.07970 | + | 0.392977i | ||||
\(377\) | −6.23300 | −0.321016 | ||||||||
\(378\) | 13.5461 | − | 1.88302i | 0.696735 | − | 0.0968522i | ||||
\(379\) | −23.9348 | −1.22945 | −0.614723 | − | 0.788743i | \(-0.710732\pi\) | ||||
−0.614723 | + | 0.788743i | \(0.710732\pi\) | |||||||
\(380\) | −45.0270 | − | 16.3885i | −2.30984 | − | 0.840712i | ||||
\(381\) | 6.37690 | + | 0.449126i | 0.326698 | + | 0.0230094i | ||||
\(382\) | 50.1581 | + | 42.0877i | 2.56631 | + | 2.15339i | ||||
\(383\) | −5.87121 | + | 33.2973i | −0.300005 | + | 1.70141i | 0.346128 | + | 0.938187i | \(0.387496\pi\) |
−0.646133 | + | 0.763225i | \(0.723615\pi\) | |||||||
\(384\) | 0.791493 | + | 7.56701i | 0.0403907 | + | 0.386153i | ||||
\(385\) | −1.72598 | + | 1.44827i | −0.0879642 | + | 0.0738107i | ||||
\(386\) | 7.41689 | + | 12.8464i | 0.377510 | + | 0.653866i | ||||
\(387\) | −14.0354 | + | 8.75074i | −0.713458 | + | 0.444825i | ||||
\(388\) | −37.5175 | + | 64.9823i | −1.90466 | + | 3.29897i | ||||
\(389\) | −0.637094 | − | 3.61314i | −0.0323020 | − | 0.183194i | 0.964388 | − | 0.264492i | \(-0.0852044\pi\) |
−0.996690 | + | 0.0812987i | \(0.974093\pi\) | |||||||
\(390\) | −14.8388 | − | 14.3441i | −0.751393 | − | 0.726340i | ||||
\(391\) | 2.33654 | − | 0.850432i | 0.118164 | − | 0.0430082i | ||||
\(392\) | −7.24046 | + | 2.63531i | −0.365698 | + | 0.133103i | ||||
\(393\) | 20.9905 | − | 6.00756i | 1.05883 | − | 0.303041i | ||||
\(394\) | −2.29913 | − | 13.0390i | −0.115829 | − | 0.656897i | ||||
\(395\) | −5.13550 | + | 8.89494i | −0.258395 | + | 0.447553i | ||||
\(396\) | −8.20683 | − | 1.16178i | −0.412409 | − | 0.0583817i | ||||
\(397\) | 5.04210 | + | 8.73318i | 0.253056 | + | 0.438306i | 0.964366 | − | 0.264573i | \(-0.0852310\pi\) |
−0.711310 | + | 0.702879i | \(0.751898\pi\) | |||||||
\(398\) | 21.0606 | − | 17.6719i | 1.05567 | − | 0.885813i | ||||
\(399\) | 3.39231 | − | 2.46206i | 0.169828 | − | 0.123257i | ||||
\(400\) | 20.1790 | − | 114.441i | 1.00895 | − | 5.72203i | ||||
\(401\) | −5.35788 | − | 4.49579i | −0.267560 | − | 0.224509i | 0.499130 | − | 0.866527i | \(-0.333653\pi\) |
−0.766690 | + | 0.642018i | \(0.778097\pi\) | |||||||
\(402\) | 7.88314 | − | 11.6746i | 0.393175 | − | 0.582277i | ||||
\(403\) | 6.94418 | + | 2.52748i | 0.345914 | + | 0.125903i | ||||
\(404\) | −77.1933 | −3.84051 | ||||||||
\(405\) | −20.1630 | − | 30.0224i | −1.00191 | − | 1.49183i | ||||
\(406\) | 14.5613 | 0.722665 | ||||||||
\(407\) | 4.92198 | + | 1.79145i | 0.243973 | + | 0.0887990i | ||||
\(408\) | −3.22542 | + | 4.77673i | −0.159682 | + | 0.236483i | ||||
\(409\) | 14.7738 | + | 12.3967i | 0.730517 | + | 0.612977i | 0.930273 | − | 0.366869i | \(-0.119570\pi\) |
−0.199755 | + | 0.979846i | \(0.564015\pi\) | |||||||
\(410\) | 10.3125 | − | 58.4850i | 0.509297 | − | 2.88837i | ||||
\(411\) | 11.9876 | − | 8.70036i | 0.591307 | − | 0.429157i | ||||
\(412\) | 44.5291 | − | 37.3644i | 2.19379 | − | 1.84081i | ||||
\(413\) | −1.22049 | − | 2.11394i | −0.0600562 | − | 0.104020i | ||||
\(414\) | 28.0242 | − | 35.7953i | 1.37731 | − | 1.75924i | ||||
\(415\) | −2.16711 | + | 3.75354i | −0.106379 | + | 0.184254i | ||||
\(416\) | 2.35324 | + | 13.3459i | 0.115377 | + | 0.654337i | ||||
\(417\) | 4.34839 | − | 1.24452i | 0.212941 | − | 0.0609446i | ||||
\(418\) | −3.35607 | + | 1.22151i | −0.164151 | + | 0.0597460i | ||||
\(419\) | 21.0404 | − | 7.65807i | 1.02789 | − | 0.374121i | 0.227613 | − | 0.973752i | \(-0.426908\pi\) |
0.800277 | + | 0.599630i | \(0.204686\pi\) | |||||||
\(420\) | 24.6577 | + | 23.8355i | 1.20317 | + | 1.16305i | ||||
\(421\) | 1.74343 | + | 9.88749i | 0.0849696 | + | 0.481887i | 0.997363 | + | 0.0725725i | \(0.0231209\pi\) |
−0.912394 | + | 0.409314i | \(0.865768\pi\) | |||||||
\(422\) | 34.9573 | − | 60.5477i | 1.70169 | − | 2.94742i | ||||
\(423\) | 7.65515 | + | 4.08016i | 0.372206 | + | 0.198384i | ||||
\(424\) | 7.48974 | + | 12.9726i | 0.363734 | + | 0.630005i | ||||
\(425\) | 3.68780 | − | 3.09443i | 0.178885 | − | 0.150102i | ||||
\(426\) | 2.04183 | + | 19.5208i | 0.0989272 | + | 0.945787i | ||||
\(427\) | 2.07469 | − | 11.7662i | 0.100401 | − | 0.569405i | ||||
\(428\) | 28.7005 | + | 24.0826i | 1.38729 | + | 1.16408i | ||||
\(429\) | −1.09146 | − | 0.0768720i | −0.0526963 | − | 0.00371141i | ||||
\(430\) | −54.7933 | − | 19.9431i | −2.64237 | − | 0.961743i | ||||
\(431\) | 7.96489 | 0.383655 | 0.191828 | − | 0.981429i | \(-0.438559\pi\) | ||||
0.191828 | + | 0.981429i | \(0.438559\pi\) | |||||||
\(432\) | −1.97186 | + | 54.1342i | −0.0948713 | + | 2.60453i | ||||
\(433\) | −22.5132 | −1.08192 | −0.540959 | − | 0.841049i | \(-0.681938\pi\) | ||||
−0.540959 | + | 0.841049i | \(0.681938\pi\) | |||||||
\(434\) | −16.2227 | − | 5.90460i | −0.778717 | − | 0.283430i | ||||
\(435\) | −16.8621 | − | 34.6165i | −0.808478 | − | 1.65973i | ||||
\(436\) | 1.34445 | + | 1.12812i | 0.0643873 | + | 0.0540274i | ||||
\(437\) | 2.41944 | − | 13.7213i | 0.115738 | − | 0.656381i | ||||
\(438\) | 41.8563 | + | 18.6608i | 1.99997 | + | 0.891646i | ||||
\(439\) | 19.0923 | − | 16.0204i | 0.911227 | − | 0.764610i | −0.0611253 | − | 0.998130i | \(-0.519469\pi\) |
0.972352 | + | 0.233520i | \(0.0750245\pi\) | |||||||
\(440\) | −8.68026 | − | 15.0346i | −0.413815 | − | 0.716748i | ||||
\(441\) | −2.93507 | + | 0.620795i | −0.139765 | + | 0.0295617i | ||||
\(442\) | −0.640330 | + | 1.10908i | −0.0304574 | + | 0.0527537i | ||||
\(443\) | 0.338737 | + | 1.92107i | 0.0160939 | + | 0.0912728i | 0.991797 | − | 0.127825i | \(-0.0407997\pi\) |
−0.975703 | + | 0.219098i | \(0.929689\pi\) | |||||||
\(444\) | 19.3262 | − | 77.3481i | 0.917181 | − | 3.67078i | ||||
\(445\) | −15.1164 | + | 5.50191i | −0.716585 | + | 0.260816i | ||||
\(446\) | 17.6116 | − | 6.41011i | 0.833934 | − | 0.303527i | ||||
\(447\) | 1.31400 | − | 5.25893i | 0.0621499 | − | 0.248739i | ||||
\(448\) | −1.87698 | − | 10.6449i | −0.0886792 | − | 0.502925i | ||||
\(449\) | 0.0421164 | − | 0.0729477i | 0.00198760 | − | 0.00344262i | −0.865030 | − | 0.501720i | \(-0.832701\pi\) |
0.867017 | + | 0.498278i | \(0.166034\pi\) | |||||||
\(450\) | 27.2822 | − | 83.6806i | 1.28609 | − | 3.94474i | ||||
\(451\) | −1.57424 | − | 2.72666i | −0.0741280 | − | 0.128393i | ||||
\(452\) | −61.1008 | + | 51.2696i | −2.87394 | + | 2.41152i | ||||
\(453\) | −26.0578 | − | 11.6173i | −1.22430 | − | 0.545831i | ||||
\(454\) | −1.82950 | + | 10.3756i | −0.0858627 | + | 0.486952i | ||||
\(455\) | 3.46802 | + | 2.91002i | 0.162583 | + | 0.136424i | ||||
\(456\) | 14.1435 | + | 29.0353i | 0.662329 | + | 1.35970i | ||||
\(457\) | −16.4212 | − | 5.97682i | −0.768151 | − | 0.279584i | −0.0719280 | − | 0.997410i | \(-0.522915\pi\) |
−0.696223 | + | 0.717826i | \(0.745137\pi\) | |||||||
\(458\) | 8.14323 | 0.380508 | ||||||||
\(459\) | −1.50411 | + | 1.66544i | −0.0702057 | + | 0.0777361i | ||||
\(460\) | 113.997 | 5.31514 | ||||||||
\(461\) | 3.81356 | + | 1.38802i | 0.177615 | + | 0.0646467i | 0.429297 | − | 0.903163i | \(-0.358761\pi\) |
−0.251682 | + | 0.967810i | \(0.580984\pi\) | |||||||
\(462\) | 2.54984 | + | 0.179585i | 0.118629 | + | 0.00835507i | ||||
\(463\) | −14.0089 | − | 11.7548i | −0.651047 | − | 0.546293i | 0.256341 | − | 0.966586i | \(-0.417483\pi\) |
−0.907388 | + | 0.420293i | \(0.861927\pi\) | |||||||
\(464\) | −10.0152 | + | 56.7992i | −0.464945 | + | 2.63684i | ||||
\(465\) | 4.74914 | + | 45.4038i | 0.220236 | + | 2.10555i | ||||
\(466\) | −49.3050 | + | 41.3718i | −2.28401 | + | 1.91651i | ||||
\(467\) | −11.6906 | − | 20.2487i | −0.540977 | − | 0.936999i | −0.998848 | − | 0.0479810i | \(-0.984721\pi\) |
0.457871 | − | 0.889018i | \(-0.348612\pi\) | |||||||
\(468\) | 0.564556 | + | 16.6449i | 0.0260966 | + | 0.769409i | ||||
\(469\) | −1.54503 | + | 2.67607i | −0.0713429 | + | 0.123570i | ||||
\(470\) | 5.31044 | + | 30.1170i | 0.244952 | + | 1.38919i | ||||
\(471\) | 16.0603 | + | 15.5248i | 0.740019 | + | 0.715345i | ||||
\(472\) | 17.6738 | − | 6.43272i | 0.813500 | − | 0.296090i | ||||
\(473\) | −2.90493 | + | 1.05731i | −0.133569 | + | 0.0486150i | ||||
\(474\) | 11.2027 | − | 3.20624i | 0.514555 | − | 0.147267i | ||||
\(475\) | −4.68426 | − | 26.5658i | −0.214929 | − | 1.21892i | ||||
\(476\) | 1.06404 | − | 1.84296i | 0.0487700 | − | 0.0844721i | ||||
\(477\) | 2.17939 | + | 5.40977i | 0.0997873 | + | 0.247696i | ||||
\(478\) | 2.13516 | + | 3.69821i | 0.0976600 | + | 0.169152i | ||||
\(479\) | −12.3025 | + | 10.3230i | −0.562116 | + | 0.471671i | −0.879019 | − | 0.476787i | \(-0.841801\pi\) |
0.316903 | + | 0.948458i | \(0.397357\pi\) | |||||||
\(480\) | −67.7536 | + | 49.1740i | −3.09251 | + | 2.24448i | ||||
\(481\) | 1.82755 | − | 10.3646i | 0.0833291 | − | 0.472583i | ||||
\(482\) | −2.32922 | − | 1.95445i | −0.106093 | − | 0.0890226i | ||||
\(483\) | −5.58046 | + | 8.26445i | −0.253920 | + | 0.376045i | ||||
\(484\) | 49.4777 | + | 18.0084i | 2.24898 | + | 0.818563i | ||||
\(485\) | −61.1904 | −2.77851 | ||||||||
\(486\) | −7.22578 | + | 40.3877i | −0.327768 | + | 1.83202i | ||||
\(487\) | 19.8209 | 0.898171 | 0.449086 | − | 0.893489i | \(-0.351750\pi\) | ||||
0.449086 | + | 0.893489i | \(0.351750\pi\) | |||||||
\(488\) | 86.5067 | + | 31.4859i | 3.91598 | + | 1.42530i | ||||
\(489\) | −13.2059 | + | 19.5574i | −0.597190 | + | 0.884415i | ||||
\(490\) | −8.10186 | − | 6.79827i | −0.366005 | − | 0.307115i | ||||
\(491\) | 4.62022 | − | 26.2026i | 0.208508 | − | 1.18251i | −0.683316 | − | 0.730123i | \(-0.739463\pi\) |
0.891824 | − | 0.452383i | \(-0.149426\pi\) | |||||||
\(492\) | −38.7849 | + | 28.1492i | −1.74856 | + | 1.26906i | ||||
\(493\) | −1.83033 | + | 1.53583i | −0.0824338 | + | 0.0691702i | ||||
\(494\) | 3.58807 | + | 6.21472i | 0.161435 | + | 0.279613i | ||||
\(495\) | −2.52581 | − | 6.26967i | −0.113527 | − | 0.281801i | ||||
\(496\) | 34.1900 | − | 59.2188i | 1.53518 | − | 2.65900i | ||||
\(497\) | −0.747624 | − | 4.23998i | −0.0335355 | − | 0.190189i | ||||
\(498\) | 4.72736 | − | 1.35299i | 0.211838 | − | 0.0606287i | ||||
\(499\) | 15.4245 | − | 5.61406i | 0.690496 | − | 0.251320i | 0.0271484 | − | 0.999631i | \(-0.491357\pi\) |
0.663348 | + | 0.748311i | \(0.269135\pi\) | |||||||
\(500\) | 114.368 | − | 41.6266i | 5.11469 | − | 1.86160i | ||||
\(501\) | −5.36083 | − | 5.18209i | −0.239504 | − | 0.231519i | ||||
\(502\) | 1.05698 | + | 5.99444i | 0.0471754 | + | 0.267545i | ||||
\(503\) | 1.49699 | − | 2.59286i | 0.0667475 | − | 0.115610i | −0.830720 | − | 0.556690i | \(-0.812071\pi\) |
0.897468 | + | 0.441080i | \(0.145404\pi\) | |||||||
\(504\) | −0.783571 | − | 23.1021i | −0.0349030 | − | 1.02905i | ||||
\(505\) | −31.4752 | − | 54.5167i | −1.40063 | − | 2.42596i | ||||
\(506\) | 6.50887 | − | 5.46159i | 0.289355 | − | 0.242797i | ||||
\(507\) | −2.11370 | − | 20.2079i | −0.0938728 | − | 0.897465i | ||||
\(508\) | 3.15804 | − | 17.9101i | 0.140115 | − | 0.794634i | ||||
\(509\) | 16.9519 | + | 14.2243i | 0.751380 | + | 0.630483i | 0.935868 | − | 0.352352i | \(-0.114618\pi\) |
−0.184487 | + | 0.982835i | \(0.559062\pi\) | |||||||
\(510\) | −7.89186 | − | 0.555825i | −0.349457 | − | 0.0246123i | ||||
\(511\) | −9.44638 | − | 3.43820i | −0.417883 | − | 0.152097i | ||||
\(512\) | −35.2548 | −1.55805 | ||||||||
\(513\) | 3.86785 | + | 11.9652i | 0.170770 | + | 0.528276i | ||||
\(514\) | −53.1752 | −2.34546 | ||||||||
\(515\) | 44.5447 | + | 16.2129i | 1.96287 | + | 0.714427i | ||||
\(516\) | 20.6059 | + | 42.3021i | 0.907123 | + | 1.86225i | ||||
\(517\) | 1.24200 | + | 1.04216i | 0.0546231 | + | 0.0458342i | ||||
\(518\) | −4.26946 | + | 24.2133i | −0.187589 | + | 1.06387i | ||||
\(519\) | −26.7423 | − | 11.9225i | −1.17386 | − | 0.523340i | ||||
\(520\) | −26.7216 | + | 22.4221i | −1.17182 | + | 0.983272i | ||||
\(521\) | −10.4216 | − | 18.0508i | −0.456579 | − | 0.790818i | 0.542198 | − | 0.840250i | \(-0.317592\pi\) |
−0.998777 | + | 0.0494324i | \(0.984259\pi\) | |||||||
\(522\) | −13.5407 | + | 41.5323i | −0.592660 | + | 1.81782i | ||||
\(523\) | −10.1831 | + | 17.6377i | −0.445276 | + | 0.771241i | −0.998071 | − | 0.0620758i | \(-0.980228\pi\) |
0.552795 | + | 0.833317i | \(0.313561\pi\) | |||||||
\(524\) | −10.7858 | − | 61.1694i | −0.471181 | − | 2.67220i | ||||
\(525\) | −4.68014 | + | 18.7310i | −0.204258 | + | 0.817489i | ||||
\(526\) | −18.8254 | + | 6.85188i | −0.820826 | + | 0.298756i | ||||
\(527\) | 2.66195 | − | 0.968869i | 0.115956 | − | 0.0422046i | ||||
\(528\) | −2.45428 | + | 9.82261i | −0.106809 | + | 0.427474i | ||||
\(529\) | 1.76210 | + | 9.99338i | 0.0766132 | + | 0.434495i | ||||
\(530\) | −10.2806 | + | 17.8065i | −0.446560 | + | 0.773464i | ||||
\(531\) | 7.16441 | − | 1.51534i | 0.310909 | − | 0.0657603i | ||||
\(532\) | −5.96230 | − | 10.3270i | −0.258498 | − | 0.447732i | ||||
\(533\) | −4.84618 | + | 4.06643i | −0.209911 | + | 0.176137i | ||||
\(534\) | 16.6686 | + | 7.43136i | 0.721322 | + | 0.321586i | ||||
\(535\) | −5.30549 | + | 30.0889i | −0.229376 | + | 1.30086i | ||||
\(536\) | −18.2390 | − | 15.3044i | −0.787806 | − | 0.661047i | ||||
\(537\) | −9.19351 | − | 18.8735i | −0.396729 | − | 0.814451i | ||||
\(538\) | −32.5617 | − | 11.8515i | −1.40383 | − | 0.510954i | ||||
\(539\) | −0.560710 | −0.0241515 | ||||||||
\(540\) | −90.9140 | + | 48.1647i | −3.91232 | + | 2.07268i | ||||
\(541\) | −30.9362 | −1.33005 | −0.665027 | − | 0.746820i | \(-0.731580\pi\) | ||||
−0.665027 | + | 0.746820i | \(0.731580\pi\) | |||||||
\(542\) | −6.75959 | − | 2.46029i | −0.290349 | − | 0.105679i | ||||
\(543\) | 13.5279 | + | 0.952772i | 0.580537 | + | 0.0408874i | ||||
\(544\) | 3.97950 | + | 3.33920i | 0.170620 | + | 0.143167i | ||||
\(545\) | −0.248530 | + | 1.40949i | −0.0106459 | + | 0.0603757i | ||||
\(546\) | −0.534308 | − | 5.10822i | −0.0228663 | − | 0.218611i | ||||
\(547\) | 2.49369 | − | 2.09245i | 0.106622 | − | 0.0894668i | −0.587918 | − | 0.808921i | \(-0.700052\pi\) |
0.694540 | + | 0.719454i | \(0.255608\pi\) | |||||||
\(548\) | −21.0694 | − | 36.4932i | −0.900039 | − | 1.55891i | ||||
\(549\) | 31.6307 | + | 16.8590i | 1.34996 | + | 0.719524i | ||||
\(550\) | 8.22522 | − | 14.2465i | 0.350724 | − | 0.607473i | ||||
\(551\) | 2.32489 | + | 13.1851i | 0.0990437 | + | 0.561705i | ||||
\(552\) | −55.2447 | − | 53.4027i | −2.35137 | − | 2.27297i | ||||
\(553\) | −2.40190 | + | 0.874220i | −0.102139 | + | 0.0371756i | ||||
\(554\) | −68.9180 | + | 25.0841i | −2.92804 | + | 1.06572i | ||||
\(555\) | 62.5062 | − | 17.8895i | 2.65324 | − | 0.759367i | ||||
\(556\) | −2.23439 | − | 12.6718i | −0.0947591 | − | 0.537405i | ||||
\(557\) | 6.69772 | − | 11.6008i | 0.283792 | − | 0.491541i | −0.688524 | − | 0.725214i | \(-0.741741\pi\) |
0.972315 | + | 0.233672i | \(0.0750743\pi\) | |||||||
\(558\) | 31.9270 | − | 40.7804i | 1.35158 | − | 1.72637i | ||||
\(559\) | 3.10574 | + | 5.37930i | 0.131359 | + | 0.227520i | ||||
\(560\) | 32.0904 | − | 26.9271i | 1.35607 | − | 1.13788i | ||||
\(561\) | −0.339451 | + | 0.246366i | −0.0143316 | + | 0.0104016i | ||||
\(562\) | −10.7796 | + | 61.1344i | −0.454712 | + | 2.57880i | ||||
\(563\) | −13.4027 | − | 11.2462i | −0.564858 | − | 0.473973i | 0.315077 | − | 0.949066i | \(-0.397970\pi\) |
−0.879935 | + | 0.475094i | \(0.842414\pi\) | |||||||
\(564\) | 13.8101 | − | 20.4523i | 0.581512 | − | 0.861195i | ||||
\(565\) | −61.1220 | − | 22.2466i | −2.57142 | − | 0.935922i | ||||
\(566\) | 53.2442 | 2.23802 | ||||||||
\(567\) | 0.958689 | − | 8.94879i | 0.0402611 | − | 0.375814i | ||||
\(568\) | 33.1736 | 1.39193 | ||||||||
\(569\) | 21.2980 | + | 7.75184i | 0.892859 | + | 0.324974i | 0.747388 | − | 0.664388i | \(-0.231308\pi\) |
0.145471 | + | 0.989362i | \(0.453530\pi\) | |||||||
\(570\) | −24.8082 | + | 36.7399i | −1.03910 | + | 1.53887i | ||||
\(571\) | −17.0272 | − | 14.2875i | −0.712567 | − | 0.597914i | 0.212751 | − | 0.977106i | \(-0.431758\pi\) |
−0.925318 | + | 0.379192i | \(0.876202\pi\) | |||||||
\(572\) | −0.540527 | + | 3.06548i | −0.0226006 | + | 0.128174i | ||||
\(573\) | 34.8720 | − | 25.3093i | 1.45680 | − | 1.05731i | ||||
\(574\) | 11.3215 | − | 9.49985i | 0.472549 | − | 0.396516i | ||||
\(575\) | 32.0883 | + | 55.5786i | 1.33818 | + | 2.31779i | ||||
\(576\) | 32.1073 | + | 4.54519i | 1.33780 | + | 0.189383i | ||||
\(577\) | −3.79897 | + | 6.58002i | −0.158153 | + | 0.273930i | −0.934203 | − | 0.356742i | \(-0.883887\pi\) |
0.776049 | + | 0.630672i | \(0.217221\pi\) | |||||||
\(578\) | −7.68449 | − | 43.5809i | −0.319633 | − | 1.81273i | ||||
\(579\) | 9.38489 | − | 2.68599i | 0.390023 | − | 0.111626i | ||||
\(580\) | −102.936 | + | 37.4656i | −4.27418 | + | 1.55567i | ||||
\(581\) | −1.01357 | + | 0.368908i | −0.0420498 | + | 0.0153049i | ||||
\(582\) | 49.9128 | + | 48.2486i | 2.06895 | + | 1.99997i | ||||
\(583\) | 0.189289 | + | 1.07351i | 0.00783955 | + | 0.0444603i | ||||
\(584\) | 38.7284 | − | 67.0796i | 1.60259 | − | 2.77577i | ||||
\(585\) | −11.5250 | + | 7.18558i | −0.476500 | + | 0.297087i | ||||
\(586\) | −39.7928 | − | 68.9232i | −1.64383 | − | 2.84719i | ||||
\(587\) | −36.7964 | + | 30.8759i | −1.51875 | + | 1.27438i | −0.674742 | + | 0.738054i | \(0.735745\pi\) |
−0.844009 | + | 0.536329i | \(0.819810\pi\) | |||||||
\(588\) | 0.887860 | + | 8.48832i | 0.0366147 | + | 0.350053i | ||||
\(589\) | 2.75639 | − | 15.6323i | 0.113575 | − | 0.644117i | ||||
\(590\) | 19.7764 | + | 16.5944i | 0.814182 | + | 0.683180i | ||||
\(591\) | −8.69146 | − | 0.612141i | −0.357519 | − | 0.0251801i | ||||
\(592\) | −91.5121 | − | 33.3077i | −3.76112 | − | 1.36894i | ||||
\(593\) | 29.0962 | 1.19484 | 0.597419 | − | 0.801929i | \(-0.296193\pi\) | ||||
0.597419 | + | 0.801929i | \(0.296193\pi\) | |||||||
\(594\) | −2.88334 | + | 7.10574i | −0.118305 | + | 0.291552i | ||||
\(595\) | 1.73542 | 0.0711455 | ||||||||
\(596\) | −14.4909 | − | 5.27427i | −0.593572 | − | 0.216043i | ||||
\(597\) | −7.92291 | − | 16.2651i | −0.324263 | − | 0.665684i | ||||
\(598\) | −13.0783 | − | 10.9740i | −0.534811 | − | 0.448760i | ||||
\(599\) | 4.65109 | − | 26.3776i | 0.190038 | − | 1.07776i | −0.729271 | − | 0.684225i | \(-0.760141\pi\) |
0.919309 | − | 0.393536i | \(-0.128748\pi\) | |||||||
\(600\) | −135.871 | − | 60.5750i | −5.54689 | − | 2.47297i | ||||
\(601\) | −21.4344 | + | 17.9856i | −0.874329 | + | 0.733649i | −0.965005 | − | 0.262231i | \(-0.915542\pi\) |
0.0906761 | + | 0.995880i | \(0.471097\pi\) | |||||||
\(602\) | −7.25551 | − | 12.5669i | −0.295713 | − | 0.512189i | ||||
\(603\) | −6.19606 | − | 6.89530i | −0.252323 | − | 0.280798i | ||||
\(604\) | −40.5825 | + | 70.2910i | −1.65128 | + | 2.86010i | ||||
\(605\) | 7.45612 | + | 42.2858i | 0.303134 | + | 1.71916i | ||||
\(606\) | −17.3121 | + | 69.2872i | −0.703257 | + | 2.81460i | ||||
\(607\) | 0.830550 | − | 0.302295i | 0.0337110 | − | 0.0122698i | −0.325110 | − | 0.945676i | \(-0.605401\pi\) |
0.358821 | + | 0.933407i | \(0.383179\pi\) | |||||||
\(608\) | 27.3538 | − | 9.95597i | 1.10934 | − | 0.403768i | ||||
\(609\) | 2.32285 | − | 9.29658i | 0.0941264 | − | 0.376716i | ||||
\(610\) | 21.9425 | + | 124.442i | 0.888424 | + | 5.03850i | ||||
\(611\) | 1.62886 | − | 2.82126i | 0.0658965 | − | 0.114136i | ||||
\(612\) | 4.26712 | + | 4.74867i | 0.172488 | + | 0.191954i | ||||
\(613\) | −2.96925 | − | 5.14289i | −0.119927 | − | 0.207719i | 0.799812 | − | 0.600251i | \(-0.204933\pi\) |
−0.919738 | + | 0.392532i | \(0.871599\pi\) | |||||||
\(614\) | −36.1987 | + | 30.3743i | −1.46086 | + | 1.22581i | ||||
\(615\) | −35.6943 | − | 15.9136i | −1.43933 | − | 0.641697i | ||||
\(616\) | 0.750221 | − | 4.25471i | 0.0302273 | − | 0.171427i | ||||
\(617\) | −18.9411 | − | 15.8935i | −0.762539 | − | 0.639846i | 0.176247 | − | 0.984346i | \(-0.443604\pi\) |
−0.938787 | + | 0.344499i | \(0.888049\pi\) | |||||||
\(618\) | −23.5510 | − | 48.3482i | −0.947361 | − | 1.94485i | ||||
\(619\) | 38.1792 | + | 13.8961i | 1.53455 | + | 0.558531i | 0.964731 | − | 0.263239i | \(-0.0847909\pi\) |
0.569820 | + | 0.821770i | \(0.307013\pi\) | |||||||
\(620\) | 129.873 | 5.21583 | ||||||||
\(621\) | −18.3829 | − | 23.6020i | −0.737678 | − | 0.947116i | ||||
\(622\) | 22.4931 | 0.901890 | ||||||||
\(623\) | −3.76188 | − | 1.36921i | −0.150716 | − | 0.0548563i | ||||
\(624\) | 20.2931 | + | 1.42925i | 0.812373 | + | 0.0572156i | ||||
\(625\) | 33.3364 | + | 27.9726i | 1.33346 | + | 1.11890i | ||||
\(626\) | −1.27251 | + | 7.21674i | −0.0508596 | + | 0.288439i | ||||
\(627\) | 0.244500 | + | 2.33752i | 0.00976438 | + | 0.0933517i | ||||
\(628\) | 48.6796 | − | 40.8470i | 1.94253 | − | 1.62997i | ||||
\(629\) | −2.01719 | − | 3.49388i | −0.0804307 | − | 0.139310i | ||||
\(630\) | 26.9243 | − | 16.7867i | 1.07269 | − | 0.668797i | ||||
\(631\) | −6.29265 | + | 10.8992i | −0.250506 | + | 0.433890i | −0.963665 | − | 0.267113i | \(-0.913930\pi\) |
0.713159 | + | 0.701002i | \(0.247264\pi\) | |||||||
\(632\) | −3.41995 | − | 19.3955i | −0.136038 | − | 0.771511i | ||||
\(633\) | −33.0799 | − | 31.9769i | −1.31481 | − | 1.27097i | ||||
\(634\) | 1.63328 | − | 0.594466i | 0.0648660 | − | 0.0236093i | ||||
\(635\) | 13.9365 | − | 5.07246i | 0.553052 | − | 0.201294i | ||||
\(636\) | 15.9516 | − | 4.56541i | 0.632523 | − | 0.181030i | ||||
\(637\) | 0.195639 | + | 1.10952i | 0.00775148 | + | 0.0439608i | ||||
\(638\) | −4.08234 | + | 7.07082i | −0.161621 | + | 0.279936i | ||||
\(639\) | 12.7887 | + | 1.81040i | 0.505912 | + | 0.0716182i | ||||
\(640\) | 8.82552 | + | 15.2863i | 0.348859 | + | 0.604242i | ||||
\(641\) | −7.92188 | + | 6.64725i | −0.312896 | + | 0.262551i | −0.785688 | − | 0.618623i | \(-0.787691\pi\) |
0.472792 | + | 0.881174i | \(0.343246\pi\) | |||||||
\(642\) | 28.0528 | − | 20.3601i | 1.10715 | − | 0.803547i | ||||
\(643\) | −0.819083 | + | 4.64525i | −0.0323015 | + | 0.183191i | −0.996690 | − | 0.0813000i | \(-0.974093\pi\) |
0.964388 | + | 0.264491i | \(0.0852039\pi\) | |||||||
\(644\) | 21.7322 | + | 18.2355i | 0.856369 | + | 0.718579i | ||||
\(645\) | −21.4733 | + | 31.8011i | −0.845511 | + | 1.25217i | ||||
\(646\) | 2.58497 | + | 0.940850i | 0.101704 | + | 0.0370173i | ||||
\(647\) | 16.1815 | 0.636162 | 0.318081 | − | 0.948063i | \(-0.396962\pi\) | ||||
0.318081 | + | 0.948063i | \(0.396962\pi\) | |||||||
\(648\) | 66.6214 | + | 19.2479i | 2.61714 | + | 0.756130i | ||||
\(649\) | 1.36868 | 0.0537253 | ||||||||
\(650\) | −31.0605 | − | 11.3051i | −1.21829 | − | 0.443423i | ||||
\(651\) | −6.35764 | + | 9.41541i | −0.249176 | + | 0.369019i | ||||
\(652\) | 51.4281 | + | 43.1533i | 2.01408 | + | 1.69001i | ||||
\(653\) | −3.40380 | + | 19.3039i | −0.133201 | + | 0.755420i | 0.842895 | + | 0.538079i | \(0.180850\pi\) |
−0.976096 | + | 0.217341i | \(0.930261\pi\) | |||||||
\(654\) | 1.31410 | − | 0.953746i | 0.0513855 | − | 0.0372944i | ||||
\(655\) | 38.8022 | − | 32.5589i | 1.51613 | − | 1.27218i | ||||
\(656\) | 29.2691 | + | 50.6956i | 1.14277 | + | 1.97933i | ||||
\(657\) | 18.5909 | − | 23.7461i | 0.725298 | − | 0.926425i | ||||
\(658\) | −3.80528 | + | 6.59094i | −0.148345 | + | 0.256941i | ||||
\(659\) | 5.42421 | + | 30.7622i | 0.211297 | + | 1.19833i | 0.887218 | + | 0.461351i | \(0.152635\pi\) |
−0.675920 | + | 0.736975i | \(0.736254\pi\) | |||||||
\(660\) | −18.4872 | + | 5.29110i | −0.719613 | + | 0.205956i | ||||
\(661\) | −8.98119 | + | 3.26889i | −0.349328 | + | 0.127145i | −0.510724 | − | 0.859745i | \(-0.670623\pi\) |
0.161396 | + | 0.986890i | \(0.448400\pi\) | |||||||
\(662\) | −85.8362 | + | 31.2418i | −3.33612 | + | 1.21425i | ||||
\(663\) | 0.605942 | + | 0.585738i | 0.0235328 | + | 0.0227482i | ||||
\(664\) | −1.44317 | − | 8.18461i | −0.0560058 | − | 0.317625i | ||||
\(665\) | 4.86220 | − | 8.42158i | 0.188548 | − | 0.326575i | ||||
\(666\) | −65.0919 | − | 34.6937i | −2.52226 | − | 1.34435i | ||||
\(667\) | −15.9261 | − | 27.5848i | −0.616660 | − | 1.06809i | ||||
\(668\) | −16.2490 | + | 13.6345i | −0.628692 | + | 0.527535i | ||||
\(669\) | −1.28306 | − | 12.2666i | −0.0496059 | − | 0.474254i | ||||
\(670\) | 5.67503 | − | 32.1847i | 0.219246 | − | 1.24340i | ||||
\(671\) | 5.13188 | + | 4.30616i | 0.198114 | + | 0.166237i | ||||
\(672\) | −20.7825 | − | 1.46372i | −0.801704 | − | 0.0564642i | ||||
\(673\) | 27.1938 | + | 9.89774i | 1.04824 | + | 0.381530i | 0.808000 | − | 0.589183i | \(-0.200550\pi\) |
0.240245 | + | 0.970712i | \(0.422772\pi\) | |||||||
\(674\) | −8.85822 | −0.341206 | ||||||||
\(675\) | −49.0733 | − | 30.7670i | −1.88883 | − | 1.18422i | ||||
\(676\) | −57.8026 | −2.22318 | ||||||||
\(677\) | 27.8744 | + | 10.1455i | 1.07130 | + | 0.389921i | 0.816663 | − | 0.577115i | \(-0.195822\pi\) |
0.254637 | + | 0.967037i | \(0.418044\pi\) | |||||||
\(678\) | 32.3156 | + | 66.3411i | 1.24107 | + | 2.54781i | ||||
\(679\) | −11.6652 | − | 9.78830i | −0.447671 | − | 0.375641i | ||||
\(680\) | −2.32197 | + | 13.1685i | −0.0890434 | + | 0.504990i | ||||
\(681\) | 6.33241 | + | 2.82317i | 0.242658 | + | 0.108184i | ||||
\(682\) | 7.41534 | − | 6.22221i | 0.283948 | − | 0.238261i | ||||
\(683\) | 19.6358 | + | 34.0101i | 0.751342 | + | 1.30136i | 0.947173 | + | 0.320724i | \(0.103926\pi\) |
−0.195831 | + | 0.980638i | \(0.562740\pi\) | |||||||
\(684\) | 34.9995 | − | 7.40273i | 1.33824 | − | 0.283050i | ||||
\(685\) | 17.1819 | − | 29.7599i | 0.656486 | − | 1.13707i | ||||
\(686\) | −0.457044 | − | 2.59202i | −0.0174500 | − | 0.0989639i | ||||
\(687\) | 1.29902 | − | 5.19900i | 0.0495608 | − | 0.198354i | ||||
\(688\) | 54.0100 | − | 19.6580i | 2.05911 | − | 0.749456i | ||||
\(689\) | 2.05819 | − | 0.749121i | 0.0784109 | − | 0.0285393i | ||||
\(690\) | 25.5661 | − | 102.322i | 0.973284 | − | 3.89532i | ||||
\(691\) | 5.53916 | + | 31.4142i | 0.210720 | + | 1.19505i | 0.888182 | + | 0.459493i | \(0.151969\pi\) |
−0.677462 | + | 0.735558i | \(0.736920\pi\) | |||||||
\(692\) | −41.6485 | + | 72.1374i | −1.58324 | + | 2.74225i | ||||
\(693\) | 0.521410 | − | 1.59928i | 0.0198067 | − | 0.0607516i | ||||
\(694\) | −32.4748 | − | 56.2480i | −1.23273 | − | 2.13514i | ||||
\(695\) | 8.03825 | − | 6.74489i | 0.304908 | − | 0.255848i | ||||
\(696\) | 67.4352 | + | 30.0646i | 2.55613 | + | 1.13960i | ||||
\(697\) | −0.421108 | + | 2.38822i | −0.0159506 | + | 0.0904605i | ||||
\(698\) | −14.2136 | − | 11.9267i | −0.537994 | − | 0.451431i | ||||
\(699\) | 18.5484 | + | 38.0782i | 0.701564 | + | 1.44025i | ||||
\(700\) | 51.6133 | + | 18.7857i | 1.95080 | + | 0.710032i | ||||
\(701\) | 37.2646 | 1.40747 | 0.703733 | − | 0.710465i | \(-0.251515\pi\) | ||||
0.703733 | + | 0.710465i | \(0.251515\pi\) | |||||||
\(702\) | 15.0667 | + | 3.22620i | 0.568657 | + | 0.121765i | ||||
\(703\) | −22.6066 | −0.852623 | ||||||||
\(704\) | 5.69528 | + | 2.07291i | 0.214649 | + | 0.0781258i | ||||
\(705\) | 20.0752 | + | 1.41390i | 0.756074 | + | 0.0532504i | ||||
\(706\) | 15.5537 | + | 13.0511i | 0.585371 | + | 0.491185i | ||||
\(707\) | 2.72035 | − | 15.4279i | 0.102309 | − | 0.580226i | ||||
\(708\) | −2.16724 | − | 20.7198i | −0.0814499 | − | 0.778696i | ||||
\(709\) | −20.0123 | + | 16.7923i | −0.751579 | + | 0.630650i | −0.935920 | − | 0.352212i | \(-0.885429\pi\) |
0.184341 | + | 0.982862i | \(0.440985\pi\) | |||||||
\(710\) | 22.7674 | + | 39.4343i | 0.854446 | + | 1.47994i | ||||
\(711\) | −0.259937 | − | 7.66373i | −0.00974838 | − | 0.287413i | ||||
\(712\) | 15.4230 | − | 26.7134i | 0.578001 | − | 1.00113i | ||||
\(713\) | 6.55763 | + | 37.1902i | 0.245585 | + | 1.39278i | ||||
\(714\) | −1.41558 | − | 1.36838i | −0.0529767 | − | 0.0512103i | ||||
\(715\) | −2.38535 | + | 0.868197i | −0.0892071 | + | 0.0324687i | ||||
\(716\) | −56.1223 | + | 20.4268i | −2.09739 | + | 0.763387i | ||||
\(717\) | 2.70170 | − | 0.773237i | 0.100897 | − | 0.0288771i | ||||
\(718\) | −15.7583 | − | 89.3698i | −0.588095 | − | 3.33525i | ||||
\(719\) | −12.8389 | + | 22.2376i | −0.478810 | + | 0.829323i | −0.999705 | − | 0.0242978i | \(-0.992265\pi\) |
0.520895 | + | 0.853621i | \(0.325598\pi\) | |||||||
\(720\) | 46.9612 | + | 116.569i | 1.75014 | + | 4.34428i | ||||
\(721\) | 5.89843 | + | 10.2164i | 0.219669 | + | 0.380478i | ||||
\(722\) | −26.5004 | + | 22.2365i | −0.986242 | + | 0.827555i | ||||
\(723\) | −1.61937 | + | 1.17530i | −0.0602249 | + | 0.0437099i | ||||
\(724\) | 6.69944 | − | 37.9944i | 0.248983 | − | 1.41205i | ||||
\(725\) | −47.2409 | − | 39.6398i | −1.75448 | − | 1.47219i | ||||
\(726\) | 27.2603 | − | 40.3715i | 1.01173 | − | 1.49833i | ||||
\(727\) | −1.78154 | − | 0.648427i | −0.0660736 | − | 0.0240488i | 0.308772 | − | 0.951136i | \(-0.400082\pi\) |
−0.374846 | + | 0.927087i | \(0.622304\pi\) | |||||||
\(728\) | −8.68089 | −0.321735 | ||||||||
\(729\) | 24.6326 | + | 11.0560i | 0.912319 | + | 0.409481i | ||||
\(730\) | 106.319 | 3.93504 | ||||||||
\(731\) | 2.23748 | + | 0.814375i | 0.0827561 | + | 0.0301208i | ||||
\(732\) | 57.0628 | − | 84.5077i | 2.10910 | − | 3.12349i | ||||
\(733\) | 28.2872 | + | 23.7358i | 1.04481 | + | 0.876702i | 0.992539 | − | 0.121930i | \(-0.0389084\pi\) |
0.0522746 | + | 0.998633i | \(0.483353\pi\) | |||||||
\(734\) | 11.7893 | − | 66.8604i | 0.435151 | − | 2.46786i | ||||
\(735\) | −5.63274 | + | 4.08812i | −0.207767 | + | 0.150792i | ||||
\(736\) | −53.0508 | + | 44.5149i | −1.95548 | + | 1.64084i | ||||
\(737\) | −0.866315 | − | 1.50050i | −0.0319111 | − | 0.0552717i | ||||
\(738\) | 16.5679 | + | 41.1256i | 0.609873 | + | 1.51385i | ||||
\(739\) | 3.89920 | − | 6.75362i | 0.143434 | − | 0.248436i | −0.785353 | − | 0.619048i | \(-0.787519\pi\) |
0.928788 | + | 0.370612i | \(0.120852\pi\) | |||||||
\(740\) | −32.1183 | − | 182.152i | −1.18069 | − | 6.69605i | ||||
\(741\) | 4.54013 | − | 1.29940i | 0.166786 | − | 0.0477347i | ||||
\(742\) | −4.80828 | + | 1.75007i | −0.176517 | + | 0.0642471i | ||||
\(743\) | 35.0546 | − | 12.7588i | 1.28603 | − | 0.468076i | 0.393606 | − | 0.919279i | \(-0.371227\pi\) |
0.892421 | + | 0.451204i | \(0.149005\pi\) | |||||||
\(744\) | −62.9384 | − | 60.8399i | −2.30744 | − | 2.23050i | ||||
\(745\) | −2.18374 | − | 12.3846i | −0.0800060 | − | 0.453736i | ||||
\(746\) | −35.2574 | + | 61.0675i | −1.29086 | + | 2.23584i | ||||
\(747\) | −0.109689 | − | 3.23398i | −0.00401333 | − | 0.118325i | ||||
\(748\) | 0.596616 | + | 1.03337i | 0.0218144 | + | 0.0377837i | ||||
\(749\) | −5.82460 | + | 4.88742i | −0.212826 | + | 0.178582i | ||||
\(750\) | −11.7139 | − | 111.990i | −0.427732 | − | 4.08930i | ||||
\(751\) | 4.58648 | − | 26.0112i | 0.167363 | − | 0.949163i | −0.779231 | − | 0.626736i | \(-0.784390\pi\) |
0.946594 | − | 0.322427i | \(-0.104499\pi\) | |||||||
\(752\) | −23.0920 | − | 19.3765i | −0.842077 | − | 0.706586i | ||||
\(753\) | 3.99573 | + | 0.281420i | 0.145612 | + | 0.0102555i | ||||
\(754\) | 15.4159 | + | 5.61095i | 0.561416 | + | 0.204339i | ||||
\(755\) | −66.1894 | −2.40888 | ||||||||
\(756\) | −25.0364 | − | 5.36098i | −0.910564 | − | 0.194977i | ||||
\(757\) | −27.1241 | −0.985840 | −0.492920 | − | 0.870075i | \(-0.664071\pi\) | ||||
−0.492920 | + | 0.870075i | \(0.664071\pi\) | |||||||
\(758\) | 59.1974 | + | 21.5461i | 2.15015 | + | 0.782589i | ||||
\(759\) | −2.44862 | − | 5.02680i | −0.0888791 | − | 0.182461i | ||||
\(760\) | 57.3981 | + | 48.1627i | 2.08205 | + | 1.74704i | ||||
\(761\) | 5.61527 | − | 31.8458i | 0.203553 | − | 1.15441i | −0.696146 | − | 0.717900i | \(-0.745104\pi\) |
0.899700 | − | 0.436509i | \(-0.143785\pi\) | |||||||
\(762\) | −15.3675 | − | 6.85130i | −0.556707 | − | 0.248196i | ||||
\(763\) | −0.272847 | + | 0.228946i | −0.00987773 | + | 0.00828840i | ||||
\(764\) | −61.2907 | − | 106.159i | −2.21742 | − | 3.84068i | ||||
\(765\) | −1.61379 | + | 4.94985i | −0.0583466 | + | 0.178962i | ||||
\(766\) | 44.4954 | − | 77.0683i | 1.60768 | − | 2.78459i | ||||
\(767\) | −0.477548 | − | 2.70831i | −0.0172433 | − | 0.0977914i | ||||
\(768\) | −4.22245 | + | 16.8993i | −0.152365 | + | 0.609800i | ||||
\(769\) | −27.9141 | + | 10.1599i | −1.00661 | + | 0.366376i | −0.792130 | − | 0.610353i | \(-0.791028\pi\) |
−0.214479 | + | 0.976729i | \(0.568805\pi\) | |||||||
\(770\) | 5.57257 | − | 2.02825i | 0.200821 | − | 0.0730930i | ||||
\(771\) | −8.48260 | + | 33.9494i | −0.305493 | + | 1.22266i | ||||
\(772\) | −4.82235 | − | 27.3489i | −0.173560 | − | 0.984309i | ||||
\(773\) | −21.8958 | + | 37.9247i | −0.787539 | + | 1.36406i | 0.139932 | + | 0.990161i | \(0.455312\pi\) |
−0.927471 | + | 0.373896i | \(0.878022\pi\) | |||||||
\(774\) | 42.5908 | − | 9.00837i | 1.53090 | − | 0.323799i | ||||
\(775\) | 36.5572 | + | 63.3189i | 1.31317 | + | 2.27448i | ||||
\(776\) | 89.8823 | − | 75.4202i | 3.22659 | − | 2.70743i | ||||
\(777\) | 14.7778 | + | 6.58836i | 0.530150 | + | 0.236356i | ||||
\(778\) | −1.67684 | + | 9.50982i | −0.0601176 | + | 0.340944i | ||||
\(779\) | 10.4096 | + | 8.73471i | 0.372964 | + | 0.312954i | ||||
\(780\) | 16.9203 | + | 34.7359i | 0.605844 | + | 1.24375i | ||||
\(781\) | 2.26849 | + | 0.825664i | 0.0811730 | + | 0.0295446i | ||||
\(782\) | −6.54448 | −0.234030 | ||||||||
\(783\) | 24.3560 | + | 15.2703i | 0.870414 | + | 0.545715i | ||||
\(784\) | 10.4250 | 0.372323 | ||||||||
\(785\) | 48.6966 | + | 17.7241i | 1.73805 | + | 0.632600i | ||||
\(786\) | −57.3234 | − | 4.03730i | −2.04466 | − | 0.144006i | ||||
\(787\) | 22.3275 | + | 18.7350i | 0.795891 | + | 0.667832i | 0.947196 | − | 0.320655i | \(-0.103903\pi\) |
−0.151305 | + | 0.988487i | \(0.548348\pi\) | |||||||
\(788\) | −4.30428 | + | 24.4108i | −0.153334 | + | 0.869599i | ||||
\(789\) | 1.37148 | + | 13.1120i | 0.0488261 | + | 0.466799i | ||||
\(790\) | 20.7087 | − | 17.3767i | 0.736784 | − | 0.618235i | ||||
\(791\) | −8.09354 | − | 14.0184i | −0.287773 | − | 0.498438i | ||||
\(792\) | 11.4378 | + | 6.09631i | 0.406425 | + | 0.216623i | ||||
\(793\) | 6.73036 | − | 11.6573i | 0.239002 | − | 0.413964i | ||||
\(794\) | −4.60892 | − | 26.1385i | −0.163564 | − | 0.927620i | ||||
\(795\) | 9.72847 | + | 9.40410i | 0.345033 | + | 0.333529i | ||||
\(796\) | −48.3658 | + | 17.6037i | −1.71428 | + | 0.623947i | ||||
\(797\) | 18.5363 | − | 6.74665i | 0.656588 | − | 0.238979i | 0.00782548 | − | 0.999969i | \(-0.497509\pi\) |
0.648763 | + | 0.760991i | \(0.275287\pi\) | |||||||
\(798\) | −10.6065 | + | 3.03561i | −0.375465 | + | 0.107459i | ||||
\(799\) | −0.216851 | − | 1.22982i | −0.00767164 | − | 0.0435080i | ||||
\(800\) | −67.0400 | + | 116.117i | −2.37022 | + | 4.10534i | ||||
\(801\) | 7.40352 | − | 9.45653i | 0.261590 | − | 0.334130i | ||||
\(802\) | 9.20441 | + | 15.9425i | 0.325019 | + | 0.562950i | ||||
\(803\) | 4.31790 | − | 3.62315i | 0.152375 | − | 0.127858i | ||||
\(804\) | −21.3436 | + | 15.4907i | −0.752731 | + | 0.546315i | ||||
\(805\) | −4.01735 | + | 22.7835i | −0.141593 | + | 0.803013i | ||||
\(806\) | −14.8997 | − | 12.5023i | −0.524819 | − | 0.440375i | ||||
\(807\) | −12.7608 | + | 18.8983i | −0.449202 | + | 0.665250i | ||||
\(808\) | 113.428 | + | 41.2845i | 3.99039 | + | 1.45238i | ||||
\(809\) | 14.5777 | 0.512526 | 0.256263 | − | 0.966607i | \(-0.417509\pi\) | ||||
0.256263 | + | 0.966607i | \(0.417509\pi\) | |||||||
\(810\) | 22.8425 | + | 92.4046i | 0.802603 | + | 3.24677i | ||||
\(811\) | −5.88398 | −0.206614 | −0.103307 | − | 0.994649i | \(-0.532942\pi\) | ||||
−0.103307 | + | 0.994649i | \(0.532942\pi\) | |||||||
\(812\) | −25.6167 | − | 9.32371i | −0.898969 | − | 0.327198i | ||||
\(813\) | −2.64906 | + | 3.92315i | −0.0929066 | + | 0.137591i | ||||
\(814\) | −10.5608 | − | 8.86153i | −0.370154 | − | 0.310596i | ||||
\(815\) | −9.50684 | + | 53.9160i | −0.333010 | + | 1.88859i | ||||
\(816\) | 6.31126 | − | 4.58057i | 0.220938 | − | 0.160352i | ||||
\(817\) | 10.2208 | − | 8.57626i | 0.357580 | − | 0.300045i | ||||
\(818\) | −25.3802 | − | 43.9598i | −0.887399 | − | 1.53702i | ||||
\(819\) | −3.34655 | − | 0.473746i | −0.116938 | − | 0.0165540i | ||||
\(820\) | −55.5904 | + | 96.2853i | −1.94130 | + | 3.36243i | ||||
\(821\) | −8.93906 | − | 50.6959i | −0.311975 | − | 1.76930i | −0.588700 | − | 0.808352i | \(-0.700360\pi\) |
0.276725 | − | 0.960949i | \(-0.410751\pi\) | |||||||
\(822\) | −37.4808 | + | 10.7271i | −1.30729 | + | 0.374152i | ||||
\(823\) | 44.5935 | − | 16.2307i | 1.55443 | − | 0.565766i | 0.584979 | − | 0.811049i | \(-0.301103\pi\) |
0.969452 | + | 0.245282i | \(0.0788806\pi\) | |||||||
\(824\) | −85.4146 | + | 31.0884i | −2.97556 | + | 1.08301i | ||||
\(825\) | −7.78349 | − | 7.52397i | −0.270986 | − | 0.261951i | ||||
\(826\) | 1.11563 | + | 6.32706i | 0.0388178 | + | 0.220146i | ||||
\(827\) | −13.2636 | + | 22.9733i | −0.461221 | + | 0.798858i | −0.999022 | − | 0.0442134i | \(-0.985922\pi\) |
0.537801 | + | 0.843072i | \(0.319255\pi\) | |||||||
\(828\) | −72.2210 | + | 45.0281i | −2.50985 | + | 1.56484i | ||||
\(829\) | 0.249174 | + | 0.431582i | 0.00865418 | + | 0.0149895i | 0.870320 | − | 0.492487i | \(-0.163912\pi\) |
−0.861666 | + | 0.507476i | \(0.830579\pi\) | |||||||
\(830\) | 8.73879 | − | 7.33272i | 0.303328 | − | 0.254522i | ||||
\(831\) | 5.02088 | + | 48.0017i | 0.174172 | + | 1.66516i | ||||
\(832\) | 2.11468 | − | 11.9930i | 0.0733134 | − | 0.415781i | ||||
\(833\) | 0.330838 | + | 0.277606i | 0.0114629 | + | 0.00961849i | ||||
\(834\) | −11.8751 | − | 0.836366i | −0.411201 | − | 0.0289610i | ||||
\(835\) | −16.2546 | − | 5.91620i | −0.562515 | − | 0.204739i | ||||
\(836\) | 6.68625 | 0.231249 | ||||||||
\(837\) | −20.9430 | − | 26.8890i | −0.723895 | − | 0.929419i | ||||
\(838\) | −58.9325 | −2.03579 | ||||||||
\(839\) | −17.4027 | − | 6.33406i | −0.600808 | − | 0.218676i | 0.0236685 | − | 0.999720i | \(-0.492465\pi\) |
−0.624476 | + | 0.781044i | \(0.714688\pi\) | |||||||
\(840\) | −23.4844 | − | 48.2115i | −0.810290 | − | 1.66345i | ||||
\(841\) | 1.23130 | + | 1.03318i | 0.0424586 | + | 0.0356270i | ||||
\(842\) | 4.58872 | − | 26.0240i | 0.158138 | − | 0.896845i | ||||
\(843\) | 37.3113 | + | 16.6345i | 1.28507 | + | 0.572922i | ||||
\(844\) | −100.267 | + | 84.1340i | −3.45133 | + | 2.89601i | ||||
\(845\) | −23.5688 | − | 40.8223i | −0.810791 | − | 1.40433i | ||||
\(846\) | −15.2604 | − | 16.9825i | −0.524662 | − | 0.583872i | ||||
\(847\) | −5.34280 | + | 9.25400i | −0.183581 | + | 0.317971i | ||||
\(848\) | −3.51936 | − | 19.9593i | −0.120855 | − | 0.685405i | ||||
\(849\) | 8.49362 | − | 33.9935i | 0.291500 | − | 1.16665i | ||||
\(850\) | −11.9066 | + | 4.33364i | −0.408392 | + | 0.148642i | ||||
\(851\) | 50.5390 | − | 18.3947i | 1.73245 | − | 0.630562i | ||||
\(852\) | 8.90727 | − | 35.6490i | 0.305158 | − | 1.22131i | ||||
\(853\) | 1.82169 | + | 10.3313i | 0.0623735 | + | 0.353738i | 0.999982 | + | 0.00604413i | \(0.00192392\pi\) |
−0.937608 | + | 0.347694i | \(0.886965\pi\) | |||||||
\(854\) | −15.7232 | + | 27.2334i | −0.538037 | + | 0.931908i | ||||
\(855\) | 19.4990 | + | 21.6995i | 0.666850 | + | 0.742106i | ||||
\(856\) | −29.2929 | − | 50.7368i | −1.00121 | − | 1.73415i | ||||
\(857\) | 37.3036 | − | 31.3015i | 1.27427 | − | 1.06924i | 0.280260 | − | 0.959924i | \(-0.409579\pi\) |
0.994007 | − | 0.109313i | \(-0.0348651\pi\) | |||||||
\(858\) | 2.63029 | + | 1.17266i | 0.0897967 | + | 0.0400340i | ||||
\(859\) | −5.10561 | + | 28.9553i | −0.174201 | + | 0.987943i | 0.764861 | + | 0.644195i | \(0.222808\pi\) |
−0.939062 | + | 0.343748i | \(0.888303\pi\) | |||||||
\(860\) | 83.6243 | + | 70.1691i | 2.85157 | + | 2.39275i | ||||
\(861\) | −4.25910 | − | 8.74357i | −0.145150 | − | 0.297980i | ||||
\(862\) | −19.6994 | − | 7.16999i | −0.670964 | − | 0.244211i | ||||
\(863\) | −51.8902 | −1.76636 | −0.883182 | − | 0.469031i | \(-0.844603\pi\) | ||||
−0.883182 | + | 0.469031i | \(0.844603\pi\) | |||||||
\(864\) | 23.5007 | − | 57.9157i | 0.799512 | − | 1.97033i | ||||
\(865\) | −67.9280 | −2.30962 | ||||||||
\(866\) | 55.6815 | + | 20.2664i | 1.89214 | + | 0.688681i | ||||
\(867\) | −29.0498 | − | 2.04599i | −0.986584 | − | 0.0694853i | ||||
\(868\) | 24.7588 | + | 20.7751i | 0.840368 | + | 0.705153i | ||||
\(869\) | 0.248873 | − | 1.41143i | 0.00844244 | − | 0.0478794i | ||||
\(870\) | 10.5430 | + | 100.796i | 0.357441 | + | 3.41729i | ||||
\(871\) | −2.66689 | + | 2.23779i | −0.0903642 | + | 0.0758245i | ||||
\(872\) | −1.37219 | − | 2.37671i | −0.0464684 | − | 0.0804856i | ||||
\(873\) | 38.7662 | − | 24.1698i | 1.31204 | − | 0.818025i | ||||
\(874\) | −18.3359 | + | 31.7587i | −0.620221 | + | 1.07426i | ||||
\(875\) | 4.28909 | + | 24.3246i | 0.144998 | + | 0.822322i | ||||
\(876\) | −61.6863 | − | 59.6295i | −2.08419 | − | 2.01469i | ||||
\(877\) | −0.153678 | + | 0.0559341i | −0.00518932 | + | 0.00188876i | −0.344614 | − | 0.938745i | \(-0.611990\pi\) |
0.339424 | + | 0.940633i | \(0.389768\pi\) | |||||||
\(878\) | −61.6422 | + | 22.4359i | −2.08032 | + | 0.757175i | ||||
\(879\) | −50.3514 | + | 14.4107i | −1.69831 | + | 0.486062i | ||||
\(880\) | 4.07878 | + | 23.1319i | 0.137496 | + | 0.779776i | ||||
\(881\) | 20.4252 | − | 35.3775i | 0.688142 | − | 1.19190i | −0.284296 | − | 0.958736i | \(-0.591760\pi\) |
0.972438 | − | 0.233161i | \(-0.0749068\pi\) | |||||||
\(882\) | 7.81808 | + | 1.10675i | 0.263248 | + | 0.0372661i | ||||
\(883\) | 5.73486 | + | 9.93307i | 0.192993 | + | 0.334274i | 0.946241 | − | 0.323463i | \(-0.104847\pi\) |
−0.753247 | + | 0.657737i | \(0.771514\pi\) | |||||||
\(884\) | 1.83664 | − | 1.54112i | 0.0617729 | − | 0.0518336i | ||||
\(885\) | 13.7494 | − | 9.97898i | 0.462180 | − | 0.335440i | ||||
\(886\) | 0.891558 | − | 5.05627i | 0.0299525 | − | 0.169869i | ||||
\(887\) | −1.65487 | − | 1.38860i | −0.0555652 | − | 0.0466247i | 0.614582 | − | 0.788853i | \(-0.289325\pi\) |
−0.670147 | + | 0.742228i | \(0.733769\pi\) | |||||||
\(888\) | −69.7654 | + | 103.320i | −2.34117 | + | 3.46718i | ||||
\(889\) | 3.46824 | + | 1.26234i | 0.116321 | + | 0.0423374i | ||||
\(890\) | 42.3399 | 1.41924 | ||||||||
\(891\) | 4.07667 | + | 2.97437i | 0.136573 | + | 0.0996452i | ||||
\(892\) | −35.0873 | −1.17481 | ||||||||
\(893\) | −6.57558 | − | 2.39332i | −0.220044 | − | 0.0800893i | ||||
\(894\) | −7.98397 | + | 11.8239i | −0.267024 | + | 0.395452i | ||||
\(895\) | −37.3098 | − | 31.3066i | −1.24713 | − | 1.04646i | ||||
\(896\) | −0.762776 | + | 4.32592i | −0.0254826 | + | 0.144519i | ||||
\(897\) | −9.09256 | + | 6.59917i | −0.303592 | + | 0.220340i | ||||
\(898\) | −0.169833 | + | 0.142507i | −0.00566741 | + | 0.00475552i | ||||
\(899\) | −18.1440 | − | 31.4264i | −0.605138 | − | 1.04813i | ||||
\(900\) | −101.577 | + | 129.744i | −3.38590 | + | 4.32481i | ||||
\(901\) | 0.419806 | − | 0.727125i | 0.0139858 | − | 0.0242240i | ||||
\(902\) | 1.43899 | + | 8.16092i | 0.0479132 | + | 0.271729i | ||||
\(903\) | −9.18069 | + | 2.62754i | −0.305514 | + | 0.0874392i | ||||
\(904\) | 117.202 | − | 42.6580i | 3.89808 | − | 1.41878i | ||||
\(905\) | 29.5647 | − | 10.7607i | 0.982763 | − | 0.357697i | ||||
\(906\) | 53.9904 | + | 52.1902i | 1.79371 | + | 1.73390i | ||||
\(907\) | −3.14796 | − | 17.8529i | −0.104526 | − | 0.592797i | −0.991409 | − | 0.130802i | \(-0.958245\pi\) |
0.886882 | − | 0.461995i | \(-0.152866\pi\) | |||||||
\(908\) | 9.86209 | − | 17.0816i | 0.327285 | − | 0.566874i | ||||
\(909\) | 41.4744 | + | 22.1056i | 1.37562 | + | 0.733198i | ||||
\(910\) | −5.95779 | − | 10.3192i | −0.197499 | − | 0.342078i | ||||
\(911\) | 25.4516 | − | 21.3564i | 0.843249 | − | 0.707570i | −0.115043 | − | 0.993360i | \(-0.536701\pi\) |
0.958292 | + | 0.285791i | \(0.0922562\pi\) | |||||||
\(912\) | −4.54587 | − | 43.4605i | −0.150529 | − | 1.43912i | ||||
\(913\) | 0.105021 | − | 0.595603i | 0.00347568 | − | 0.0197116i | ||||
\(914\) | 35.2338 | + | 29.5647i | 1.16543 | + | 0.977914i | ||||
\(915\) | 82.9495 | + | 5.84215i | 2.74223 | + | 0.193135i | ||||
\(916\) | −14.3258 | − | 5.21417i | −0.473338 | − | 0.172281i | ||||
\(917\) | 12.6055 | 0.416269 | ||||||||
\(918\) | 5.21930 | − | 2.76510i | 0.172263 | − | 0.0912619i | ||||
\(919\) | 42.2312 | 1.39308 | 0.696539 | − | 0.717519i | \(-0.254722\pi\) | ||||
0.696539 | + | 0.717519i | \(0.254722\pi\) | |||||||
\(920\) | −167.508 | − | 60.9679i | −5.52257 | − | 2.01005i | ||||
\(921\) | 13.6178 | + | 27.9562i | 0.448723 | + | 0.921189i | ||||
\(922\) | −8.18251 | − | 6.86594i | −0.269477 | − | 0.226118i | ||||
\(923\) | 0.842301 | − | 4.77692i | 0.0277247 | − | 0.157234i | ||||
\(924\) | −4.37076 | − | 1.94861i | −0.143787 | − | 0.0641046i | ||||
\(925\) | 79.7665 | − | 66.9320i | 2.62270 | − | 2.20071i | ||||
\(926\) | 24.0661 | + | 41.6838i | 0.790862 | + | 1.36981i | ||||
\(927\) | −34.6245 | + | 7.32343i | −1.13722 | + | 0.240533i | ||||
\(928\) | 33.2733 | − | 57.6310i | 1.09225 | − | 1.89183i | ||||
\(929\) | −1.92064 | − | 10.8925i | −0.0630142 | − | 0.357371i | −0.999969 | − | 0.00791965i | \(-0.997479\pi\) |
0.936954 | − | 0.349451i | \(-0.113632\pi\) | |||||||
\(930\) | 29.1266 | − | 116.572i | 0.955099 | − | 3.82253i | ||||
\(931\) | 2.27408 | − | 0.827696i | 0.0745299 | − | 0.0271267i | ||||
\(932\) | 113.230 | − | 41.2122i | 3.70896 | − | 1.34995i | ||||
\(933\) | 3.58813 | − | 14.3606i | 0.117470 | − | 0.470144i | ||||
\(934\) | 10.6862 | + | 60.6047i | 0.349664 | + | 1.98304i | ||||
\(935\) | −0.486535 | + | 0.842704i | −0.0159114 | + | 0.0275594i | ||||
\(936\) | 8.07244 | − | 24.7600i | 0.263856 | − | 0.809305i | ||||
\(937\) | 10.1328 | + | 17.5505i | 0.331024 | + | 0.573350i | 0.982713 | − | 0.185136i | \(-0.0592727\pi\) |
−0.651689 | + | 0.758486i | \(0.725939\pi\) | |||||||
\(938\) | 6.23030 | − | 5.22784i | 0.203426 | − | 0.170695i | ||||
\(939\) | 4.40450 | + | 1.96365i | 0.143735 | + | 0.0640814i | ||||
\(940\) | 9.94185 | − | 56.3830i | 0.324267 | − | 1.83901i | ||||
\(941\) | −35.0567 | − | 29.4160i | −1.14281 | − | 0.958935i | −0.143287 | − | 0.989681i | \(-0.545767\pi\) |
−0.999527 | + | 0.0307460i | \(0.990212\pi\) | |||||||
\(942\) | −25.7462 | − | 52.8546i | −0.838855 | − | 1.72210i | ||||
\(943\) | −30.3790 | − | 11.0570i | −0.989276 | − | 0.360067i | ||||
\(944\) | −25.4472 | −0.828237 | ||||||||
\(945\) | −6.42235 | − | 19.8675i | −0.208919 | − | 0.646290i | ||||
\(946\) | 8.13649 | 0.264540 | ||||||||
\(947\) | −30.6344 | − | 11.1500i | −0.995484 | − | 0.362326i | −0.207642 | − | 0.978205i | \(-0.566579\pi\) |
−0.787841 | + | 0.615878i | \(0.788801\pi\) | |||||||
\(948\) | −21.7610 | − | 1.53263i | −0.706765 | − | 0.0497776i | ||||
\(949\) | −8.67597 | − | 7.28000i | −0.281634 | − | 0.236319i | ||||
\(950\) | −12.3290 | + | 69.9213i | −0.400006 | + | 2.26855i | ||||
\(951\) | −0.118989 | − | 1.13759i | −0.00385850 | − | 0.0368889i | ||||
\(952\) | −2.54915 | + | 2.13899i | −0.0826186 | + | 0.0693252i | ||||
\(953\) | 9.33794 | + | 16.1738i | 0.302486 | + | 0.523920i | 0.976698 | − | 0.214617i | \(-0.0688502\pi\) |
−0.674213 | + | 0.738537i | \(0.735517\pi\) | |||||||
\(954\) | −0.520358 | − | 15.3418i | −0.0168472 | − | 0.496708i | ||||
\(955\) | 49.9820 | − | 86.5714i | 1.61738 | − | 2.80138i | ||||
\(956\) | −1.38825 | − | 7.87316i | −0.0448992 | − | 0.254636i | ||||
\(957\) | 3.86310 | + | 3.73429i | 0.124876 | + | 0.120713i | ||||
\(958\) | 39.7203 | − | 14.4570i | 1.28331 | − | 0.467085i | ||||
\(959\) | 8.03606 | − | 2.92489i | 0.259498 | − | 0.0944495i | ||||
\(960\) | 72.3267 | − | 20.7001i | 2.33433 | − | 0.668094i | ||||
\(961\) | 2.08780 | + | 11.8405i | 0.0673485 | + | 0.381952i | ||||
\(962\) | −13.8502 | + | 23.9893i | −0.446549 | + | 0.773445i | ||||
\(963\) | −8.52374 | − | 21.1580i | −0.274674 | − | 0.681807i | ||||
\(964\) | 2.84619 | + | 4.92974i | 0.0916695 | + | 0.158776i | ||||
\(965\) | 17.3485 | − | 14.5571i | 0.558468 | − | 0.468611i | ||||
\(966\) | 21.2417 | − | 15.4167i | 0.683441 | − | 0.496026i | ||||
\(967\) | −6.79509 | + | 38.5368i | −0.218515 | + | 1.23926i | 0.656186 | + | 0.754599i | \(0.272169\pi\) |
−0.874701 | + | 0.484662i | \(0.838942\pi\) | |||||||
\(968\) | −63.0715 | − | 52.9233i | −2.02720 | − | 1.70102i | ||||
\(969\) | 1.01304 | − | 1.50027i | 0.0325435 | − | 0.0481956i | ||||
\(970\) | 151.341 | + | 55.0836i | 4.85927 | + | 1.76863i | ||||
\(971\) | −19.5596 | −0.627696 | −0.313848 | − | 0.949473i | \(-0.601618\pi\) | ||||
−0.313848 | + | 0.949473i | \(0.601618\pi\) | |||||||
\(972\) | 38.5723 | − | 66.4245i | 1.23721 | − | 2.13057i | ||||
\(973\) | 2.61134 | 0.0837158 | ||||||||
\(974\) | −49.0227 | − | 17.8428i | −1.57079 | − | 0.571720i | ||||
\(975\) | −12.1725 | + | 18.0270i | −0.389832 | + | 0.577326i | ||||
\(976\) | −95.4148 | − | 80.0625i | −3.05415 | − | 2.56274i | ||||
\(977\) | −4.30510 | + | 24.4154i | −0.137732 | + | 0.781118i | 0.835186 | + | 0.549968i | \(0.185360\pi\) |
−0.972918 | + | 0.231150i | \(0.925751\pi\) | |||||||
\(978\) | 50.2674 | − | 36.4829i | 1.60737 | − | 1.16660i | ||||
\(979\) | 1.71954 | − | 1.44286i | 0.0549566 | − | 0.0461141i | ||||
\(980\) | 9.90006 | + | 17.1474i | 0.316246 | + | 0.547754i | ||||
\(981\) | −0.399286 | − | 0.991124i | −0.0127482 | − | 0.0316442i | ||||
\(982\) | −35.0147 | + | 60.6472i | −1.11736 | + | 1.93533i | ||||
\(983\) | −8.86059 | − | 50.2509i | −0.282609 | − | 1.60276i | −0.713703 | − | 0.700448i | \(-0.752983\pi\) |
0.431094 | − | 0.902307i | \(-0.358128\pi\) | |||||||
\(984\) | 72.0454 | − | 20.6196i | 2.29672 | − | 0.657330i | ||||
\(985\) | −18.9949 | + | 6.91356i | −0.605226 | + | 0.220284i | ||||
\(986\) | 5.90946 | − | 2.15087i | 0.188196 | − | 0.0684976i | ||||
\(987\) | 3.60092 | + | 3.48086i | 0.114619 | + | 0.110797i | ||||
\(988\) | −2.33291 | − | 13.2306i | −0.0742198 | − | 0.420921i | ||||
\(989\) | −15.8711 | + | 27.4895i | −0.504671 | + | 0.874116i | ||||
\(990\) | 0.603070 | + | 17.7804i | 0.0191668 | + | 0.565098i | ||||
\(991\) | 26.1604 | + | 45.3111i | 0.831011 | + | 1.43935i | 0.897237 | + | 0.441549i | \(0.145571\pi\) |
−0.0662255 | + | 0.997805i | \(0.521096\pi\) | |||||||
\(992\) | −60.4391 | + | 50.7144i | −1.91894 | + | 1.61018i | ||||
\(993\) | 6.25342 | + | 59.7854i | 0.198446 | + | 1.89723i | ||||
\(994\) | −1.96775 | + | 11.1597i | −0.0624133 | + | 0.353963i | ||||
\(995\) | −32.1534 | − | 26.9799i | −1.01933 | − | 0.855319i | ||||
\(996\) | −9.18283 | − | 0.646749i | −0.290969 | − | 0.0204930i | ||||
\(997\) | 30.0788 | + | 10.9478i | 0.952605 | + | 0.346720i | 0.771131 | − | 0.636676i | \(-0.219691\pi\) |
0.181473 | + | 0.983396i | \(0.441913\pi\) | |||||||
\(998\) | −43.2029 | −1.36756 | ||||||||
\(999\) | −32.5336 | + | 36.0232i | −1.02932 | + | 1.13972i |
(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 | 189.2.v.b.85.1 | ✓ | 54 | |
3.2 | odd | 2 | 567.2.v.a.64.9 | 54 | |||
27.7 | even | 9 | inner | 189.2.v.b.169.1 | yes | 54 | |
27.13 | even | 9 | 5103.2.a.g.1.27 | 27 | |||
27.14 | odd | 18 | 5103.2.a.h.1.1 | 27 | |||
27.20 | odd | 18 | 567.2.v.a.505.9 | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.b.85.1 | ✓ | 54 | 1.1 | even | 1 | trivial | |
189.2.v.b.169.1 | yes | 54 | 27.7 | even | 9 | inner | |
567.2.v.a.64.9 | 54 | 3.2 | odd | 2 | |||
567.2.v.a.505.9 | 54 | 27.20 | odd | 18 | |||
5103.2.a.g.1.27 | 27 | 27.13 | even | 9 | |||
5103.2.a.h.1.1 | 27 | 27.14 | odd | 18 |