Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(31,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.q (of order \(21\), degree \(12\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 430.31 |
Dual form | 430.2.q.c.111.4 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | 2.49243 | − | 1.69931i | 1.43901 | − | 0.981098i | 0.442572 | − | 0.896733i | \(-0.354066\pi\) |
0.996435 | − | 0.0843648i | \(-0.0268861\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −0.733052 | − | 0.680173i | −0.327831 | − | 0.304182i | ||||
\(6\) | 1.50830 | − | 2.61245i | 0.615761 | − | 1.06653i | ||||
\(7\) | 0.376122 | + | 0.651463i | 0.142161 | + | 0.246230i | 0.928310 | − | 0.371807i | \(-0.121262\pi\) |
−0.786149 | + | 0.618037i | \(0.787928\pi\) | |||||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | 2.22854 | − | 5.67822i | 0.742845 | − | 1.89274i | ||||
\(10\) | −0.955573 | − | 0.294755i | −0.302179 | − | 0.0932098i | ||||
\(11\) | 2.49732 | + | 3.13153i | 0.752969 | + | 0.944193i | 0.999690 | − | 0.0248932i | \(-0.00792458\pi\) |
−0.246721 | + | 0.969087i | \(0.579353\pi\) | |||||||
\(12\) | 0.225431 | − | 3.00817i | 0.0650763 | − | 0.868383i | ||||
\(13\) | −6.45146 | + | 1.99001i | −1.78931 | + | 0.551930i | −0.998213 | − | 0.0597550i | \(-0.980968\pi\) |
−0.791101 | + | 0.611685i | \(0.790492\pi\) | |||||||
\(14\) | 0.621533 | + | 0.423754i | 0.166112 | + | 0.113253i | ||||
\(15\) | −2.98291 | − | 0.449601i | −0.770183 | − | 0.116086i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | −4.40696 | + | 4.08906i | −1.06884 | + | 0.991742i | −0.999983 | − | 0.00588427i | \(-0.998127\pi\) |
−0.0688610 | + | 0.997626i | \(0.521936\pi\) | |||||||
\(18\) | −0.455845 | − | 6.08282i | −0.107444 | − | 1.43374i | ||||
\(19\) | 0.741679 | + | 1.88977i | 0.170153 | + | 0.433542i | 0.990359 | − | 0.138526i | \(-0.0442364\pi\) |
−0.820206 | + | 0.572068i | \(0.806141\pi\) | |||||||
\(20\) | −0.988831 | + | 0.149042i | −0.221109 | + | 0.0333269i | ||||
\(21\) | 2.04450 | + | 0.984578i | 0.446146 | + | 0.214852i | ||||
\(22\) | 3.60873 | + | 1.73787i | 0.769383 | + | 0.370515i | ||||
\(23\) | 8.14749 | − | 1.22804i | 1.69887 | − | 0.256063i | 0.773136 | − | 0.634241i | \(-0.218687\pi\) |
0.925733 | + | 0.378177i | \(0.123449\pi\) | |||||||
\(24\) | −1.10209 | − | 2.80807i | −0.224963 | − | 0.573196i | ||||
\(25\) | 0.0747301 | + | 0.997204i | 0.0149460 | + | 0.199441i | ||||
\(26\) | −4.94913 | + | 4.59213i | −0.970605 | + | 0.900590i | ||||
\(27\) | −2.08081 | − | 9.11665i | −0.400453 | − | 1.75450i | ||||
\(28\) | 0.743842 | + | 0.112116i | 0.140573 | + | 0.0211880i | ||||
\(29\) | −2.97405 | − | 2.02767i | −0.552266 | − | 0.376529i | 0.254796 | − | 0.966995i | \(-0.417992\pi\) |
−0.807063 | + | 0.590466i | \(0.798944\pi\) | |||||||
\(30\) | −2.88258 | + | 0.889159i | −0.526285 | + | 0.162337i | ||||
\(31\) | 0.476570 | − | 6.35939i | 0.0855945 | − | 1.14218i | −0.774682 | − | 0.632351i | \(-0.782090\pi\) |
0.860276 | − | 0.509828i | \(-0.170291\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | 11.5458 | + | 3.56142i | 2.00987 | + | 0.619964i | ||||
\(34\) | −2.19635 | + | 5.59622i | −0.376672 | + | 0.959744i | ||||
\(35\) | 0.167390 | − | 0.733384i | 0.0282941 | − | 0.123964i | ||||
\(36\) | −3.04994 | − | 5.28265i | −0.508323 | − | 0.880442i | ||||
\(37\) | −2.47968 | + | 4.29494i | −0.407657 | + | 0.706083i | −0.994627 | − | 0.103526i | \(-0.966988\pi\) |
0.586969 | + | 0.809609i | \(0.300321\pi\) | |||||||
\(38\) | 1.48817 | + | 1.38082i | 0.241413 | + | 0.223998i | ||||
\(39\) | −12.6982 | + | 15.9230i | −2.03334 | + | 2.54972i | ||||
\(40\) | −0.826239 | + | 0.563320i | −0.130640 | + | 0.0890687i | ||||
\(41\) | −4.39604 | + | 2.11702i | −0.686546 | + | 0.330623i | −0.744430 | − | 0.667700i | \(-0.767279\pi\) |
0.0578846 | + | 0.998323i | \(0.481564\pi\) | |||||||
\(42\) | 2.26922 | 0.350148 | ||||||||
\(43\) | 6.39389 | + | 1.45540i | 0.975059 | + | 0.221946i | ||||
\(44\) | 4.00538 | 0.603834 | ||||||||
\(45\) | −5.49580 | + | 2.64664i | −0.819266 | + | 0.394538i | ||||
\(46\) | 6.80781 | − | 4.64149i | 1.00376 | − | 0.684350i | ||||
\(47\) | −0.700706 | + | 0.878657i | −0.102208 | + | 0.128165i | −0.830305 | − | 0.557309i | \(-0.811834\pi\) |
0.728097 | + | 0.685475i | \(0.240405\pi\) | |||||||
\(48\) | −2.21132 | − | 2.05181i | −0.319177 | − | 0.296153i | ||||
\(49\) | 3.21706 | − | 5.57212i | 0.459581 | − | 0.796017i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −4.03546 | + | 17.6805i | −0.565077 | + | 2.47576i | ||||
\(52\) | −2.46657 | + | 6.28471i | −0.342051 | + | 0.871533i | ||||
\(53\) | −3.08922 | − | 0.952899i | −0.424337 | − | 0.130891i | 0.0752292 | − | 0.997166i | \(-0.476031\pi\) |
−0.499566 | + | 0.866276i | \(0.666507\pi\) | |||||||
\(54\) | −5.83031 | − | 7.31098i | −0.793405 | − | 0.994899i | ||||
\(55\) | 0.299323 | − | 3.99418i | 0.0403607 | − | 0.538576i | ||||
\(56\) | 0.718824 | − | 0.221728i | 0.0960569 | − | 0.0296296i | ||||
\(57\) | 5.05989 | + | 3.44977i | 0.670199 | + | 0.456934i | ||||
\(58\) | −3.55930 | − | 0.536477i | −0.467358 | − | 0.0704429i | ||||
\(59\) | −2.92597 | − | 12.8195i | −0.380929 | − | 1.66896i | −0.694576 | − | 0.719419i | \(-0.744408\pi\) |
0.313647 | − | 0.949540i | \(-0.398449\pi\) | |||||||
\(60\) | −2.21132 | + | 2.05181i | −0.285481 | + | 0.264887i | ||||
\(61\) | −0.330460 | − | 4.40968i | −0.0423111 | − | 0.564602i | −0.977566 | − | 0.210628i | \(-0.932449\pi\) |
0.935255 | − | 0.353974i | \(-0.115170\pi\) | |||||||
\(62\) | −2.32986 | − | 5.93639i | −0.295893 | − | 0.753922i | ||||
\(63\) | 4.53735 | − | 0.683895i | 0.571652 | − | 0.0861627i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 6.08281 | + | 2.92933i | 0.754480 | + | 0.363338i | ||||
\(66\) | 11.9477 | − | 1.80082i | 1.47066 | − | 0.221666i | ||||
\(67\) | 3.60087 | + | 9.17486i | 0.439916 | + | 1.12089i | 0.963213 | + | 0.268738i | \(0.0866064\pi\) |
−0.523297 | + | 0.852150i | \(0.675298\pi\) | |||||||
\(68\) | 0.449262 | + | 5.99498i | 0.0544810 | + | 0.726998i | ||||
\(69\) | 18.2203 | − | 16.9059i | 2.19346 | − | 2.03523i | ||||
\(70\) | −0.167390 | − | 0.733384i | −0.0200069 | − | 0.0876561i | ||||
\(71\) | −15.1231 | − | 2.27943i | −1.79478 | − | 0.270519i | −0.834791 | − | 0.550567i | \(-0.814412\pi\) |
−0.959986 | + | 0.280048i | \(0.909650\pi\) | |||||||
\(72\) | −5.03996 | − | 3.43618i | −0.593965 | − | 0.404958i | ||||
\(73\) | 12.2370 | − | 3.77463i | 1.43224 | − | 0.441787i | 0.520961 | − | 0.853581i | \(-0.325574\pi\) |
0.911277 | + | 0.411794i | \(0.135098\pi\) | |||||||
\(74\) | −0.370614 | + | 4.94550i | −0.0430830 | + | 0.574903i | ||||
\(75\) | 1.88082 | + | 2.35847i | 0.217178 | + | 0.272333i | ||||
\(76\) | 1.93991 | + | 0.598383i | 0.222523 | + | 0.0686392i | ||||
\(77\) | −1.10078 | + | 2.80475i | −0.125446 | + | 0.319631i | ||||
\(78\) | −4.53193 | + | 19.8557i | −0.513140 | + | 2.24821i | ||||
\(79\) | 7.49410 | + | 12.9802i | 0.843152 | + | 1.46038i | 0.887216 | + | 0.461354i | \(0.152636\pi\) |
−0.0440644 | + | 0.999029i | \(0.514031\pi\) | |||||||
\(80\) | −0.500000 | + | 0.866025i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | −7.26373 | − | 6.73976i | −0.807081 | − | 0.748862i | ||||
\(82\) | −3.04215 | + | 3.81474i | −0.335949 | + | 0.421267i | ||||
\(83\) | −3.00656 | + | 2.04984i | −0.330013 | + | 0.224999i | −0.716979 | − | 0.697095i | \(-0.754476\pi\) |
0.386966 | + | 0.922094i | \(0.373523\pi\) | |||||||
\(84\) | 2.04450 | − | 0.984578i | 0.223073 | − | 0.107426i | ||||
\(85\) | 6.01179 | 0.652070 | ||||||||
\(86\) | 6.39217 | − | 1.46294i | 0.689285 | − | 0.157752i | ||||
\(87\) | −10.8583 | −1.16413 | ||||||||
\(88\) | 3.60873 | − | 1.73787i | 0.384691 | − | 0.185258i | ||||
\(89\) | −2.56336 | + | 1.74767i | −0.271715 | + | 0.185252i | −0.691510 | − | 0.722367i | \(-0.743054\pi\) |
0.419795 | + | 0.907619i | \(0.362102\pi\) | |||||||
\(90\) | −3.80321 | + | 4.76908i | −0.400894 | + | 0.502705i | ||||
\(91\) | −3.72296 | − | 3.45440i | −0.390272 | − | 0.362119i | ||||
\(92\) | 4.11976 | − | 7.13563i | 0.429515 | − | 0.743941i | ||||
\(93\) | −9.61876 | − | 16.6602i | −0.997419 | − | 1.72758i | ||||
\(94\) | −0.250079 | + | 1.09567i | −0.0257937 | + | 0.113009i | ||||
\(95\) | 0.741679 | − | 1.88977i | 0.0760947 | − | 0.193886i | ||||
\(96\) | −2.88258 | − | 0.889159i | −0.294202 | − | 0.0907494i | ||||
\(97\) | −0.603863 | − | 0.757220i | −0.0613130 | − | 0.0768841i | 0.750229 | − | 0.661178i | \(-0.229943\pi\) |
−0.811542 | + | 0.584294i | \(0.801372\pi\) | |||||||
\(98\) | 0.480823 | − | 6.41614i | 0.0485705 | − | 0.648128i | ||||
\(99\) | 23.3469 | − | 7.20156i | 2.34645 | − | 0.723784i | ||||
\(100\) | 0.826239 | + | 0.563320i | 0.0826239 | + | 0.0563320i | ||||
\(101\) | −6.29615 | − | 0.948992i | −0.626490 | − | 0.0944282i | −0.171879 | − | 0.985118i | \(-0.554984\pi\) |
−0.454612 | + | 0.890690i | \(0.650222\pi\) | |||||||
\(102\) | 4.03546 | + | 17.6805i | 0.399570 | + | 1.75063i | ||||
\(103\) | −4.25487 | + | 3.94794i | −0.419245 | + | 0.389002i | −0.861393 | − | 0.507940i | \(-0.830407\pi\) |
0.442148 | + | 0.896942i | \(0.354217\pi\) | |||||||
\(104\) | 0.504534 | + | 6.73253i | 0.0494736 | + | 0.660179i | ||||
\(105\) | −0.829039 | − | 2.11236i | −0.0809059 | − | 0.206145i | ||||
\(106\) | −3.19674 | + | 0.481831i | −0.310495 | + | 0.0467996i | ||||
\(107\) | 1.97081 | + | 0.949093i | 0.190526 | + | 0.0917523i | 0.526714 | − | 0.850042i | \(-0.323424\pi\) |
−0.336189 | + | 0.941795i | \(0.609138\pi\) | |||||||
\(108\) | −8.42505 | − | 4.05729i | −0.810701 | − | 0.390413i | ||||
\(109\) | −2.29859 | + | 0.346456i | −0.220165 | + | 0.0331845i | −0.258198 | − | 0.966092i | \(-0.583129\pi\) |
0.0380334 | + | 0.999276i | \(0.487891\pi\) | |||||||
\(110\) | −1.46333 | − | 3.72851i | −0.139523 | − | 0.355499i | ||||
\(111\) | 1.11799 | + | 14.9186i | 0.106115 | + | 1.41601i | ||||
\(112\) | 0.551434 | − | 0.511656i | 0.0521056 | − | 0.0483469i | ||||
\(113\) | −0.906499 | − | 3.97163i | −0.0852763 | − | 0.373620i | 0.914225 | − | 0.405208i | \(-0.132801\pi\) |
−0.999501 | + | 0.0315878i | \(0.989944\pi\) | |||||||
\(114\) | 6.05560 | + | 0.912735i | 0.567159 | + | 0.0854855i | ||||
\(115\) | −6.80781 | − | 4.64149i | −0.634832 | − | 0.432821i | ||||
\(116\) | −3.43958 | + | 1.06097i | −0.319357 | + | 0.0985087i | ||||
\(117\) | −3.07759 | + | 41.0676i | −0.284524 | + | 3.79670i | ||||
\(118\) | −8.19839 | − | 10.2805i | −0.754723 | − | 0.946393i | ||||
\(119\) | −4.32142 | − | 1.33298i | −0.396144 | − | 0.122194i | ||||
\(120\) | −1.10209 | + | 2.80807i | −0.100606 | + | 0.256341i | ||||
\(121\) | −1.12219 | + | 4.91666i | −0.102018 | + | 0.446969i | ||||
\(122\) | −2.21102 | − | 3.82961i | −0.200177 | − | 0.346716i | ||||
\(123\) | −7.35935 | + | 12.7468i | −0.663570 | + | 1.14934i | ||||
\(124\) | −4.67483 | − | 4.33761i | −0.419812 | − | 0.389529i | ||||
\(125\) | 0.623490 | − | 0.781831i | 0.0557666 | − | 0.0699291i | ||||
\(126\) | 3.79128 | − | 2.58485i | 0.337754 | − | 0.230277i | ||||
\(127\) | 5.75196 | − | 2.77000i | 0.510404 | − | 0.245798i | −0.160912 | − | 0.986969i | \(-0.551444\pi\) |
0.671316 | + | 0.741171i | \(0.265729\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 18.4095 | − | 7.23773i | 1.62087 | − | 0.637246i | ||||
\(130\) | 6.75141 | 0.592138 | ||||||||
\(131\) | 4.07889 | − | 1.96429i | 0.356375 | − | 0.171621i | −0.247126 | − | 0.968983i | \(-0.579486\pi\) |
0.603501 | + | 0.797362i | \(0.293772\pi\) | |||||||
\(132\) | 9.98315 | − | 6.80639i | 0.868921 | − | 0.592421i | ||||
\(133\) | −0.952151 | + | 1.19396i | −0.0825619 | + | 0.103529i | ||||
\(134\) | 7.22509 | + | 6.70391i | 0.624153 | + | 0.579129i | ||||
\(135\) | −4.67555 | + | 8.09829i | −0.402407 | + | 0.696990i | ||||
\(136\) | 3.00590 | + | 5.20636i | 0.257753 | + | 0.446442i | ||||
\(137\) | −2.15792 | + | 9.45449i | −0.184364 | + | 0.807751i | 0.795156 | + | 0.606405i | \(0.207389\pi\) |
−0.979520 | + | 0.201347i | \(0.935468\pi\) | |||||||
\(138\) | 9.08067 | − | 23.1372i | 0.772998 | − | 1.96957i | ||||
\(139\) | −0.467896 | − | 0.144327i | −0.0396865 | − | 0.0122417i | 0.274848 | − | 0.961488i | \(-0.411372\pi\) |
−0.314535 | + | 0.949246i | \(0.601849\pi\) | |||||||
\(140\) | −0.469017 | − | 0.588128i | −0.0396391 | − | 0.0497059i | ||||
\(141\) | −0.253349 | + | 3.38071i | −0.0213359 | + | 0.284707i | ||||
\(142\) | −14.6144 | + | 4.50795i | −1.22641 | + | 0.378299i | ||||
\(143\) | −22.3431 | − | 15.2333i | −1.86843 | − | 1.27387i | ||||
\(144\) | −6.03175 | − | 0.909140i | −0.502646 | − | 0.0757617i | ||||
\(145\) | 0.800964 | + | 3.50925i | 0.0665164 | + | 0.291428i | ||||
\(146\) | 9.38745 | − | 8.71028i | 0.776911 | − | 0.720868i | ||||
\(147\) | −1.45045 | − | 19.3549i | −0.119631 | − | 1.59637i | ||||
\(148\) | 1.81186 | + | 4.61654i | 0.148934 | + | 0.379478i | ||||
\(149\) | −6.29019 | + | 0.948093i | −0.515312 | + | 0.0776708i | −0.401550 | − | 0.915837i | \(-0.631528\pi\) |
−0.113762 | + | 0.993508i | \(0.536290\pi\) | |||||||
\(150\) | 2.71786 | + | 1.30885i | 0.221913 | + | 0.106867i | ||||
\(151\) | −10.0015 | − | 4.81646i | −0.813909 | − | 0.391958i | −0.0198530 | − | 0.999803i | \(-0.506320\pi\) |
−0.794056 | + | 0.607845i | \(0.792034\pi\) | |||||||
\(152\) | 2.00743 | − | 0.302571i | 0.162824 | − | 0.0245417i | ||||
\(153\) | 13.3975 | + | 34.1363i | 1.08312 | + | 2.75975i | ||||
\(154\) | 0.225164 | + | 3.00460i | 0.0181442 | + | 0.242118i | ||||
\(155\) | −4.67483 | + | 4.33761i | −0.375492 | + | 0.348405i | ||||
\(156\) | 4.53193 | + | 19.8557i | 0.362845 | + | 1.58973i | ||||
\(157\) | −12.0018 | − | 1.80898i | −0.957845 | − | 0.144372i | −0.348528 | − | 0.937298i | \(-0.613318\pi\) |
−0.609317 | + | 0.792926i | \(0.708556\pi\) | |||||||
\(158\) | 12.3838 | + | 8.44315i | 0.985205 | + | 0.671701i | ||||
\(159\) | −9.31895 | + | 2.87452i | −0.739041 | + | 0.227964i | ||||
\(160\) | −0.0747301 | + | 0.997204i | −0.00590793 | + | 0.0788359i | ||||
\(161\) | 3.86447 | + | 4.84589i | 0.304563 | + | 0.381910i | ||||
\(162\) | −9.46866 | − | 2.92070i | −0.743929 | − | 0.229472i | ||||
\(163\) | −1.88036 | + | 4.79107i | −0.147281 | + | 0.375265i | −0.985408 | − | 0.170210i | \(-0.945556\pi\) |
0.838127 | + | 0.545475i | \(0.183651\pi\) | |||||||
\(164\) | −1.08573 | + | 4.75690i | −0.0847814 | + | 0.371451i | ||||
\(165\) | −6.04132 | − | 10.4639i | −0.470316 | − | 0.814612i | ||||
\(166\) | −1.81943 | + | 3.15134i | −0.141215 | + | 0.244591i | ||||
\(167\) | −6.80155 | − | 6.31092i | −0.526320 | − | 0.488354i | 0.371673 | − | 0.928364i | \(-0.378784\pi\) |
−0.897993 | + | 0.440010i | \(0.854975\pi\) | |||||||
\(168\) | 1.41484 | − | 1.77415i | 0.109157 | − | 0.136878i | ||||
\(169\) | 26.9201 | − | 18.3538i | 2.07078 | − | 1.41183i | ||||
\(170\) | 5.41644 | − | 2.60842i | 0.415422 | − | 0.200057i | ||||
\(171\) | 12.3834 | 0.946980 | ||||||||
\(172\) | 5.12440 | − | 4.09152i | 0.390732 | − | 0.311975i | ||||
\(173\) | 12.0620 | 0.917060 | 0.458530 | − | 0.888679i | \(-0.348376\pi\) | ||||
0.458530 | + | 0.888679i | \(0.348376\pi\) | |||||||
\(174\) | −9.78295 | + | 4.71122i | −0.741643 | + | 0.357157i | ||||
\(175\) | −0.621533 | + | 0.423754i | −0.0469835 | + | 0.0320328i | ||||
\(176\) | 2.49732 | − | 3.13153i | 0.188242 | − | 0.236048i | ||||
\(177\) | −29.0771 | − | 26.9796i | −2.18557 | − | 2.02791i | ||||
\(178\) | −1.55122 | + | 2.68679i | −0.116269 | + | 0.201384i | ||||
\(179\) | 7.69982 | + | 13.3365i | 0.575512 | + | 0.996815i | 0.995986 | + | 0.0895109i | \(0.0285304\pi\) |
−0.420474 | + | 0.907304i | \(0.638136\pi\) | |||||||
\(180\) | −1.35735 | + | 5.94694i | −0.101171 | + | 0.443259i | ||||
\(181\) | −1.58464 | + | 4.03758i | −0.117785 | + | 0.300111i | −0.977592 | − | 0.210507i | \(-0.932488\pi\) |
0.859807 | + | 0.510619i | \(0.170584\pi\) | |||||||
\(182\) | −4.85308 | − | 1.49698i | −0.359734 | − | 0.110963i | ||||
\(183\) | −8.31708 | − | 10.4293i | −0.614816 | − | 0.770955i | ||||
\(184\) | 0.615740 | − | 8.21648i | 0.0453930 | − | 0.605727i | ||||
\(185\) | 4.73904 | − | 1.46180i | 0.348421 | − | 0.107474i | ||||
\(186\) | −15.8948 | − | 10.8369i | −1.16546 | − | 0.794599i | ||||
\(187\) | −23.8106 | − | 3.58887i | −1.74120 | − | 0.262444i | ||||
\(188\) | 0.250079 | + | 1.09567i | 0.0182389 | + | 0.0799098i | ||||
\(189\) | 5.15651 | − | 4.78454i | 0.375081 | − | 0.348024i | ||||
\(190\) | −0.151710 | − | 2.02442i | −0.0110062 | − | 0.146867i | ||||
\(191\) | −5.48989 | − | 13.9880i | −0.397234 | − | 1.01214i | −0.979912 | − | 0.199433i | \(-0.936090\pi\) |
0.582677 | − | 0.812704i | \(-0.302005\pi\) | |||||||
\(192\) | −2.98291 | + | 0.449601i | −0.215273 | + | 0.0324472i | ||||
\(193\) | 1.62783 | + | 0.783921i | 0.117174 | + | 0.0564279i | 0.491552 | − | 0.870848i | \(-0.336430\pi\) |
−0.374379 | + | 0.927276i | \(0.622144\pi\) | |||||||
\(194\) | −0.872608 | − | 0.420226i | −0.0626496 | − | 0.0301704i | ||||
\(195\) | 20.1388 | − | 3.03544i | 1.44217 | − | 0.217372i | ||||
\(196\) | −2.35065 | − | 5.98936i | −0.167904 | − | 0.427812i | ||||
\(197\) | 0.816875 | + | 10.9004i | 0.0581999 | + | 0.776624i | 0.947593 | + | 0.319480i | \(0.103508\pi\) |
−0.889393 | + | 0.457143i | \(0.848873\pi\) | |||||||
\(198\) | 17.9102 | − | 16.6182i | 1.27282 | − | 1.18101i | ||||
\(199\) | −3.59146 | − | 15.7352i | −0.254592 | − | 1.11544i | −0.926941 | − | 0.375207i | \(-0.877572\pi\) |
0.672349 | − | 0.740234i | \(-0.265285\pi\) | |||||||
\(200\) | 0.988831 | + | 0.149042i | 0.0699209 | + | 0.0105389i | ||||
\(201\) | 24.5659 | + | 16.7487i | 1.73274 | + | 1.18136i | ||||
\(202\) | −6.08439 | + | 1.87679i | −0.428096 | + | 0.132050i | ||||
\(203\) | 0.202347 | − | 2.70013i | 0.0142020 | − | 0.189512i | ||||
\(204\) | 11.3071 | + | 14.1787i | 0.791655 | + | 0.992704i | ||||
\(205\) | 4.66246 | + | 1.43818i | 0.325640 | + | 0.100447i | ||||
\(206\) | −2.12056 | + | 5.40309i | −0.147746 | + | 0.376451i | ||||
\(207\) | 11.1839 | − | 48.9999i | 0.777336 | − | 3.40573i | ||||
\(208\) | 3.37571 | + | 5.84689i | 0.234063 | + | 0.405409i | ||||
\(209\) | −4.06567 | + | 7.04194i | −0.281228 | + | 0.487101i | ||||
\(210\) | −1.66346 | − | 1.54346i | −0.114789 | − | 0.106509i | ||||
\(211\) | 13.6559 | − | 17.1240i | 0.940112 | − | 1.17886i | −0.0435886 | − | 0.999050i | \(-0.513879\pi\) |
0.983701 | − | 0.179814i | \(-0.0575495\pi\) | |||||||
\(212\) | −2.67110 | + | 1.82113i | −0.183452 | + | 0.125076i | ||||
\(213\) | −41.5667 | + | 20.0175i | −2.84810 | + | 1.37157i | ||||
\(214\) | 2.18744 | 0.149530 | ||||||||
\(215\) | −3.69713 | − | 5.41583i | −0.252142 | − | 0.369357i | ||||
\(216\) | −9.35110 | −0.636262 | ||||||||
\(217\) | 4.32215 | − | 2.08144i | 0.293407 | − | 0.141297i | ||||
\(218\) | −1.92063 | + | 1.30947i | −0.130082 | + | 0.0886883i | ||||
\(219\) | 24.0857 | − | 30.2026i | 1.62756 | − | 2.04090i | ||||
\(220\) | −2.93615 | − | 2.72435i | −0.197955 | − | 0.183676i | ||||
\(221\) | 20.2940 | − | 35.1503i | 1.36512 | − | 2.36447i | ||||
\(222\) | 7.48021 | + | 12.9561i | 0.502039 | + | 0.869557i | ||||
\(223\) | −1.95780 | + | 8.57767i | −0.131104 | + | 0.574403i | 0.866113 | + | 0.499848i | \(0.166611\pi\) |
−0.997217 | + | 0.0745552i | \(0.976246\pi\) | |||||||
\(224\) | 0.274826 | − | 0.700244i | 0.0183626 | − | 0.0467870i | ||||
\(225\) | 5.82888 | + | 1.79797i | 0.388592 | + | 0.119865i | ||||
\(226\) | −2.53995 | − | 3.18500i | −0.168955 | − | 0.211863i | ||||
\(227\) | −1.28841 | + | 17.1927i | −0.0855149 | + | 1.14112i | 0.775093 | + | 0.631848i | \(0.217703\pi\) |
−0.860607 | + | 0.509269i | \(0.829916\pi\) | |||||||
\(228\) | 5.85193 | − | 1.80508i | 0.387554 | − | 0.119544i | ||||
\(229\) | 4.54351 | + | 3.09771i | 0.300243 | + | 0.204703i | 0.704065 | − | 0.710135i | \(-0.251366\pi\) |
−0.403822 | + | 0.914838i | \(0.632319\pi\) | |||||||
\(230\) | −8.14749 | − | 1.22804i | −0.537230 | − | 0.0809743i | ||||
\(231\) | 2.02251 | + | 8.86121i | 0.133072 | + | 0.583025i | ||||
\(232\) | −2.63862 | + | 2.44828i | −0.173234 | + | 0.160738i | ||||
\(233\) | −1.95680 | − | 26.1117i | −0.128194 | − | 1.71063i | −0.576786 | − | 0.816895i | \(-0.695693\pi\) |
0.448592 | − | 0.893737i | \(-0.351926\pi\) | |||||||
\(234\) | 15.0458 | + | 38.3360i | 0.983572 | + | 2.50610i | ||||
\(235\) | 1.11129 | − | 0.167500i | 0.0724927 | − | 0.0109265i | ||||
\(236\) | −11.8470 | − | 5.70522i | −0.771175 | − | 0.371378i | ||||
\(237\) | 40.7359 | + | 19.6174i | 2.64608 | + | 1.27428i | ||||
\(238\) | −4.47182 | + | 0.674019i | −0.289865 | + | 0.0436902i | ||||
\(239\) | −5.56486 | − | 14.1790i | −0.359961 | − | 0.917166i | −0.990059 | − | 0.140650i | \(-0.955081\pi\) |
0.630098 | − | 0.776515i | \(-0.283015\pi\) | |||||||
\(240\) | 0.225431 | + | 3.00817i | 0.0145515 | + | 0.194176i | ||||
\(241\) | 5.88948 | − | 5.46464i | 0.379374 | − | 0.352008i | −0.467319 | − | 0.884089i | \(-0.654780\pi\) |
0.846694 | + | 0.532081i | \(0.178590\pi\) | |||||||
\(242\) | 1.12219 | + | 4.91666i | 0.0721374 | + | 0.316055i | ||||
\(243\) | −1.81734 | − | 0.273920i | −0.116582 | − | 0.0175720i | ||||
\(244\) | −3.65367 | − | 2.49103i | −0.233902 | − | 0.159472i | ||||
\(245\) | −6.14828 | + | 1.89649i | −0.392799 | + | 0.121162i | ||||
\(246\) | −1.09993 | + | 14.6775i | −0.0701289 | + | 0.935806i | ||||
\(247\) | −8.54558 | − | 10.7158i | −0.543742 | − | 0.681831i | ||||
\(248\) | −6.09390 | − | 1.87972i | −0.386963 | − | 0.119362i | ||||
\(249\) | −4.01033 | + | 10.2182i | −0.254145 | + | 0.647550i | ||||
\(250\) | 0.222521 | − | 0.974928i | 0.0140735 | − | 0.0616599i | ||||
\(251\) | −8.15591 | − | 14.1265i | −0.514797 | − | 0.891654i | −0.999853 | − | 0.0171708i | \(-0.994534\pi\) |
0.485056 | − | 0.874483i | \(-0.338799\pi\) | |||||||
\(252\) | 2.29430 | − | 3.97384i | 0.144527 | − | 0.250329i | ||||
\(253\) | 24.1925 | + | 22.4474i | 1.52097 | + | 1.41125i | ||||
\(254\) | 3.98048 | − | 4.99137i | 0.249758 | − | 0.313186i | ||||
\(255\) | 14.9840 | − | 10.2159i | 0.938334 | − | 0.639745i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | −13.9490 | −0.870115 | −0.435058 | − | 0.900403i | \(-0.643272\pi\) | ||||
−0.435058 | + | 0.900403i | \(0.643272\pi\) | |||||||
\(258\) | 13.4461 | − | 14.5086i | 0.837115 | − | 0.903263i | ||||
\(259\) | −3.73065 | −0.231812 | ||||||||
\(260\) | 6.08281 | − | 2.92933i | 0.377240 | − | 0.181669i | ||||
\(261\) | −18.1413 | + | 12.3685i | −1.12292 | + | 0.765594i | ||||
\(262\) | 2.82268 | − | 3.53953i | 0.174386 | − | 0.218673i | ||||
\(263\) | −7.78013 | − | 7.21891i | −0.479744 | − | 0.445137i | 0.402855 | − | 0.915264i | \(-0.368018\pi\) |
−0.882599 | + | 0.470127i | \(0.844208\pi\) | |||||||
\(264\) | 6.04132 | − | 10.4639i | 0.371818 | − | 0.644007i | ||||
\(265\) | 1.61642 | + | 2.79973i | 0.0992962 | + | 0.171986i | ||||
\(266\) | −0.339819 | + | 1.48884i | −0.0208356 | + | 0.0912868i | ||||
\(267\) | −3.41916 | + | 8.71188i | −0.209249 | + | 0.533159i | ||||
\(268\) | 9.41830 | + | 2.90516i | 0.575314 | + | 0.177461i | ||||
\(269\) | 7.62315 | + | 9.55913i | 0.464792 | + | 0.582831i | 0.957887 | − | 0.287145i | \(-0.0927061\pi\) |
−0.493095 | + | 0.869975i | \(0.664135\pi\) | |||||||
\(270\) | −0.698808 | + | 9.32495i | −0.0425281 | + | 0.567498i | ||||
\(271\) | 13.5293 | − | 4.17323i | 0.821845 | − | 0.253506i | 0.144813 | − | 0.989459i | \(-0.453742\pi\) |
0.677032 | + | 0.735953i | \(0.263266\pi\) | |||||||
\(272\) | 4.96718 | + | 3.38656i | 0.301179 | + | 0.205341i | ||||
\(273\) | −15.1493 | − | 2.28339i | −0.916879 | − | 0.138197i | ||||
\(274\) | 2.15792 | + | 9.45449i | 0.130365 | + | 0.571166i | ||||
\(275\) | −2.93615 | + | 2.72435i | −0.177057 | + | 0.164285i | ||||
\(276\) | −1.85744 | − | 24.7858i | −0.111805 | − | 1.49193i | ||||
\(277\) | 7.23266 | + | 18.4285i | 0.434568 | + | 1.10726i | 0.965628 | + | 0.259928i | \(0.0836988\pi\) |
−0.531060 | + | 0.847334i | \(0.678206\pi\) | |||||||
\(278\) | −0.484181 | + | 0.0729786i | −0.0290393 | + | 0.00437696i | ||||
\(279\) | −35.0479 | − | 16.8782i | −2.09826 | − | 1.01047i | ||||
\(280\) | −0.677749 | − | 0.326386i | −0.0405032 | − | 0.0195053i | ||||
\(281\) | −25.5043 | + | 3.84416i | −1.52146 | + | 0.229323i | −0.855947 | − | 0.517063i | \(-0.827025\pi\) |
−0.665513 | + | 0.746386i | \(0.731787\pi\) | |||||||
\(282\) | 1.23858 | + | 3.15584i | 0.0737561 | + | 0.187927i | ||||
\(283\) | 0.130164 | + | 1.73691i | 0.00773742 | + | 0.103249i | 0.999735 | − | 0.0230055i | \(-0.00732353\pi\) |
−0.991998 | + | 0.126254i | \(0.959704\pi\) | |||||||
\(284\) | −11.2112 | + | 10.4025i | −0.665263 | + | 0.617274i | ||||
\(285\) | −1.36272 | − | 5.97046i | −0.0807205 | − | 0.353660i | ||||
\(286\) | −26.7400 | − | 4.03040i | −1.58117 | − | 0.238322i | ||||
\(287\) | −3.03261 | − | 2.06760i | −0.179009 | − | 0.122046i | ||||
\(288\) | −5.82888 | + | 1.79797i | −0.343470 | + | 0.105946i | ||||
\(289\) | 1.43046 | − | 19.0881i | 0.0841445 | − | 1.12283i | ||||
\(290\) | 2.24425 | + | 2.81420i | 0.131787 | + | 0.165256i | ||||
\(291\) | −2.79184 | − | 0.861169i | −0.163661 | − | 0.0504826i | ||||
\(292\) | 4.67855 | − | 11.9208i | 0.273791 | − | 0.697609i | ||||
\(293\) | 6.58643 | − | 28.8570i | 0.384783 | − | 1.68585i | −0.297470 | − | 0.954731i | \(-0.596143\pi\) |
0.682254 | − | 0.731115i | \(-0.261000\pi\) | |||||||
\(294\) | −9.70460 | − | 16.8089i | −0.565984 | − | 0.980312i | ||||
\(295\) | −6.57460 | + | 11.3875i | −0.382788 | + | 0.663008i | ||||
\(296\) | 3.63547 | + | 3.37323i | 0.211308 | + | 0.196065i | ||||
\(297\) | 23.3526 | − | 29.2833i | 1.35506 | − | 1.69919i | ||||
\(298\) | −5.25590 | + | 3.58341i | −0.304466 | + | 0.207581i | ||||
\(299\) | −50.1194 | + | 24.1362i | −2.89848 | + | 1.39584i | ||||
\(300\) | 3.01660 | 0.174164 | ||||||||
\(301\) | 1.45675 | + | 4.71279i | 0.0839654 | + | 0.271640i | ||||
\(302\) | −11.1008 | −0.638779 | ||||||||
\(303\) | −17.3054 | + | 8.33382i | −0.994167 | + | 0.478766i | ||||
\(304\) | 1.67735 | − | 1.14360i | 0.0962025 | − | 0.0655898i | ||||
\(305\) | −2.75710 | + | 3.45730i | −0.157871 | + | 0.197964i | ||||
\(306\) | 26.8819 | + | 24.9428i | 1.53674 | + | 1.42588i | ||||
\(307\) | −5.20936 | + | 9.02288i | −0.297314 | + | 0.514963i | −0.975521 | − | 0.219908i | \(-0.929424\pi\) |
0.678206 | + | 0.734871i | \(0.262758\pi\) | |||||||
\(308\) | 1.50651 | + | 2.60936i | 0.0858415 | + | 0.148682i | ||||
\(309\) | −3.89619 | + | 17.0703i | −0.221647 | + | 0.971097i | ||||
\(310\) | −2.32986 | + | 5.93639i | −0.132327 | + | 0.337164i | ||||
\(311\) | 20.0420 | + | 6.18215i | 1.13648 | + | 0.350557i | 0.805216 | − | 0.592981i | \(-0.202049\pi\) |
0.331263 | + | 0.943539i | \(0.392525\pi\) | |||||||
\(312\) | 12.6982 | + | 15.9230i | 0.718893 | + | 0.901464i | ||||
\(313\) | 1.20083 | − | 16.0240i | 0.0678752 | − | 0.905732i | −0.854504 | − | 0.519445i | \(-0.826139\pi\) |
0.922379 | − | 0.386286i | \(-0.126242\pi\) | |||||||
\(314\) | −11.5981 | + | 3.57754i | −0.654519 | + | 0.201892i | ||||
\(315\) | −3.79128 | − | 2.58485i | −0.213614 | − | 0.145640i | ||||
\(316\) | 14.8208 | + | 2.23388i | 0.833735 | + | 0.125665i | ||||
\(317\) | 0.0437199 | + | 0.191549i | 0.00245556 | + | 0.0107585i | 0.976141 | − | 0.217138i | \(-0.0696723\pi\) |
−0.973685 | + | 0.227897i | \(0.926815\pi\) | |||||||
\(318\) | −7.14888 | + | 6.63319i | −0.400889 | + | 0.371971i | ||||
\(319\) | −1.07741 | − | 14.3771i | −0.0603235 | − | 0.804961i | ||||
\(320\) | 0.365341 | + | 0.930874i | 0.0204232 | + | 0.0520374i | ||||
\(321\) | 6.52492 | − | 0.983473i | 0.364185 | − | 0.0548921i | ||||
\(322\) | 5.58432 | + | 2.68927i | 0.311202 | + | 0.149867i | ||||
\(323\) | −10.9959 | − | 5.29535i | −0.611829 | − | 0.294641i | ||||
\(324\) | −9.79822 | + | 1.47684i | −0.544345 | + | 0.0820468i | ||||
\(325\) | −2.46657 | − | 6.28471i | −0.136821 | − | 0.348613i | ||||
\(326\) | 0.384625 | + | 5.13246i | 0.0213024 | + | 0.284261i | ||||
\(327\) | −5.14034 | + | 4.76954i | −0.284261 | + | 0.263756i | ||||
\(328\) | 1.08573 | + | 4.75690i | 0.0599495 | + | 0.262656i | ||||
\(329\) | −0.835963 | − | 0.126001i | −0.0460881 | − | 0.00694667i | ||||
\(330\) | −9.98315 | − | 6.80639i | −0.549554 | − | 0.374680i | ||||
\(331\) | 11.4771 | − | 3.54022i | 0.630839 | − | 0.194588i | 0.0371851 | − | 0.999308i | \(-0.488161\pi\) |
0.593654 | + | 0.804720i | \(0.297685\pi\) | |||||||
\(332\) | −0.271932 | + | 3.62868i | −0.0149242 | + | 0.199150i | ||||
\(333\) | 18.8615 | + | 23.6516i | 1.03361 | + | 1.29610i | ||||
\(334\) | −8.86619 | − | 2.73486i | −0.485136 | − | 0.149645i | ||||
\(335\) | 3.60087 | − | 9.17486i | 0.196736 | − | 0.501276i | ||||
\(336\) | 0.504949 | − | 2.21233i | 0.0275472 | − | 0.120692i | ||||
\(337\) | 9.59542 | + | 16.6198i | 0.522696 | + | 0.905336i | 0.999651 | + | 0.0264083i | \(0.00840699\pi\) |
−0.476955 | + | 0.878927i | \(0.658260\pi\) | |||||||
\(338\) | 16.2908 | − | 28.2164i | 0.886101 | − | 1.53477i | ||||
\(339\) | −9.00843 | − | 8.35860i | −0.489271 | − | 0.453977i | ||||
\(340\) | 3.74829 | − | 4.70021i | 0.203280 | − | 0.254905i | ||||
\(341\) | 21.1048 | − | 14.3890i | 1.14289 | − | 0.779208i | ||||
\(342\) | 11.1570 | − | 5.37294i | 0.603303 | − | 0.290535i | ||||
\(343\) | 10.1057 | 0.545659 | ||||||||
\(344\) | 2.84168 | − | 5.90972i | 0.153213 | − | 0.318631i | ||||
\(345\) | −24.8553 | −1.33817 | ||||||||
\(346\) | 10.8675 | − | 5.23352i | 0.584241 | − | 0.281356i | ||||
\(347\) | 6.18833 | − | 4.21914i | 0.332207 | − | 0.226495i | −0.385716 | − | 0.922618i | \(-0.626045\pi\) |
0.717923 | + | 0.696123i | \(0.245093\pi\) | |||||||
\(348\) | −6.77001 | + | 8.48932i | −0.362911 | + | 0.455075i | ||||
\(349\) | 0.722011 | + | 0.669928i | 0.0386484 | + | 0.0358604i | 0.699261 | − | 0.714867i | \(-0.253513\pi\) |
−0.660612 | + | 0.750727i | \(0.729703\pi\) | |||||||
\(350\) | −0.376122 | + | 0.651463i | −0.0201046 | + | 0.0348221i | ||||
\(351\) | 31.5665 | + | 54.6749i | 1.68490 | + | 2.91833i | ||||
\(352\) | 0.891282 | − | 3.90496i | 0.0475055 | − | 0.208135i | ||||
\(353\) | −3.67167 | + | 9.35526i | −0.195423 | + | 0.497930i | −0.994674 | − | 0.103067i | \(-0.967134\pi\) |
0.799251 | + | 0.600997i | \(0.205230\pi\) | |||||||
\(354\) | −37.9036 | − | 11.6917i | −2.01456 | − | 0.621408i | ||||
\(355\) | 9.53558 | + | 11.9572i | 0.506096 | + | 0.634624i | ||||
\(356\) | −0.231846 | + | 3.09377i | −0.0122878 | + | 0.163969i | ||||
\(357\) | −13.0360 | + | 4.02107i | −0.689938 | + | 0.212818i | ||||
\(358\) | 12.7238 | + | 8.67493i | 0.672473 | + | 0.458484i | ||||
\(359\) | 26.1632 | + | 3.94347i | 1.38084 | + | 0.208128i | 0.797118 | − | 0.603824i | \(-0.206357\pi\) |
0.583724 | + | 0.811952i | \(0.301595\pi\) | |||||||
\(360\) | 1.35735 | + | 5.94694i | 0.0715387 | + | 0.313431i | ||||
\(361\) | 10.9069 | − | 10.1201i | 0.574045 | − | 0.532636i | ||||
\(362\) | 0.324135 | + | 4.32529i | 0.0170362 | + | 0.227332i | ||||
\(363\) | 5.55794 | + | 14.1614i | 0.291716 | + | 0.743280i | ||||
\(364\) | −5.02198 | + | 0.756942i | −0.263223 | + | 0.0396746i | ||||
\(365\) | −11.5378 | − | 5.55631i | −0.603915 | − | 0.290830i | ||||
\(366\) | −12.0185 | − | 5.78781i | −0.628218 | − | 0.302534i | ||||
\(367\) | 31.5983 | − | 4.76268i | 1.64942 | − | 0.248610i | 0.742479 | − | 0.669869i | \(-0.233650\pi\) |
0.906940 | + | 0.421259i | \(0.138412\pi\) | |||||||
\(368\) | −3.01023 | − | 7.66995i | −0.156919 | − | 0.399824i | ||||
\(369\) | 2.22417 | + | 29.6795i | 0.115786 | + | 1.54505i | ||||
\(370\) | 3.63547 | − | 3.37323i | 0.188999 | − | 0.175366i | ||||
\(371\) | −0.541147 | − | 2.37092i | −0.0280949 | − | 0.123092i | ||||
\(372\) | −19.0227 | − | 2.86720i | −0.986279 | − | 0.148658i | ||||
\(373\) | −9.30088 | − | 6.34123i | −0.481581 | − | 0.328337i | 0.298077 | − | 0.954542i | \(-0.403655\pi\) |
−0.779658 | + | 0.626205i | \(0.784607\pi\) | |||||||
\(374\) | −23.0097 | + | 7.09757i | −1.18981 | + | 0.367006i | ||||
\(375\) | 0.225431 | − | 3.00817i | 0.0116412 | − | 0.155341i | ||||
\(376\) | 0.700706 | + | 0.878657i | 0.0361361 | + | 0.0453133i | ||||
\(377\) | 23.2220 | + | 7.16305i | 1.19600 | + | 0.368916i | ||||
\(378\) | 2.56992 | − | 6.54805i | 0.132182 | − | 0.336795i | ||||
\(379\) | −6.28633 | + | 27.5422i | −0.322907 | + | 1.41475i | 0.509445 | + | 0.860503i | \(0.329851\pi\) |
−0.832353 | + | 0.554246i | \(0.813007\pi\) | |||||||
\(380\) | −1.01505 | − | 1.75812i | −0.0520710 | − | 0.0901896i | ||||
\(381\) | 9.62929 | − | 16.6784i | 0.493323 | − | 0.854461i | ||||
\(382\) | −11.0154 | − | 10.2208i | −0.563596 | − | 0.522941i | ||||
\(383\) | −4.64660 | + | 5.82665i | −0.237430 | + | 0.297728i | −0.886244 | − | 0.463219i | \(-0.846694\pi\) |
0.648813 | + | 0.760948i | \(0.275266\pi\) | |||||||
\(384\) | −2.49243 | + | 1.69931i | −0.127191 | + | 0.0867176i | ||||
\(385\) | 2.71464 | − | 1.30730i | 0.138351 | − | 0.0666263i | ||||
\(386\) | 1.80675 | 0.0919613 | ||||||||
\(387\) | 22.5131 | − | 33.0625i | 1.14440 | − | 1.68066i | ||||
\(388\) | −0.968521 | −0.0491692 | ||||||||
\(389\) | −7.17669 | + | 3.45611i | −0.363873 | + | 0.175232i | −0.606882 | − | 0.794792i | \(-0.707580\pi\) |
0.243009 | + | 0.970024i | \(0.421866\pi\) | |||||||
\(390\) | 16.8274 | − | 11.4728i | 0.852090 | − | 0.580945i | ||||
\(391\) | −30.8841 | + | 38.7275i | −1.56188 | + | 1.95853i | ||||
\(392\) | −4.71655 | − | 4.37632i | −0.238222 | − | 0.221037i | ||||
\(393\) | 6.82842 | − | 11.8272i | 0.344448 | − | 0.596602i | ||||
\(394\) | 5.46550 | + | 9.46652i | 0.275348 | + | 0.476916i | ||||
\(395\) | 3.33519 | − | 14.6124i | 0.167812 | − | 0.735230i | ||||
\(396\) | 8.92614 | − | 22.7434i | 0.448555 | − | 1.14290i | ||||
\(397\) | 30.7368 | + | 9.48106i | 1.54264 | + | 0.475841i | 0.945315 | − | 0.326160i | \(-0.105755\pi\) |
0.597323 | + | 0.802001i | \(0.296231\pi\) | |||||||
\(398\) | −10.0631 | − | 12.6187i | −0.504416 | − | 0.632517i | ||||
\(399\) | −0.344262 | + | 4.59386i | −0.0172347 | + | 0.229981i | ||||
\(400\) | 0.955573 | − | 0.294755i | 0.0477786 | − | 0.0147378i | ||||
\(401\) | −11.1907 | − | 7.62969i | −0.558837 | − | 0.381008i | 0.250712 | − | 0.968062i | \(-0.419335\pi\) |
−0.809548 | + | 0.587054i | \(0.800288\pi\) | |||||||
\(402\) | 29.4001 | + | 4.43135i | 1.46634 | + | 0.221016i | ||||
\(403\) | 9.58069 | + | 41.9757i | 0.477248 | + | 2.09096i | ||||
\(404\) | −4.66754 | + | 4.33084i | −0.232219 | + | 0.215467i | ||||
\(405\) | 0.740492 | + | 9.88118i | 0.0367954 | + | 0.491000i | ||||
\(406\) | −0.989235 | − | 2.52053i | −0.0490949 | − | 0.125092i | ||||
\(407\) | −19.6423 | + | 2.96060i | −0.973633 | + | 0.146751i | ||||
\(408\) | 16.3392 | + | 7.86856i | 0.808912 | + | 0.389552i | ||||
\(409\) | −35.7881 | − | 17.2346i | −1.76961 | − | 0.852199i | −0.966624 | − | 0.256198i | \(-0.917530\pi\) |
−0.802984 | − | 0.596000i | \(-0.796756\pi\) | |||||||
\(410\) | 4.82474 | − | 0.727212i | 0.238277 | − | 0.0359144i | ||||
\(411\) | 10.6876 | + | 27.2317i | 0.527182 | + | 1.34324i | ||||
\(412\) | 0.433758 | + | 5.78809i | 0.0213697 | + | 0.285159i | ||||
\(413\) | 7.25091 | − | 6.72786i | 0.356794 | − | 0.331057i | ||||
\(414\) | −11.1839 | − | 48.9999i | −0.549660 | − | 2.40822i | ||||
\(415\) | 3.59821 | + | 0.542343i | 0.176629 | + | 0.0266226i | ||||
\(416\) | 5.57828 | + | 3.80320i | 0.273498 | + | 0.186467i | ||||
\(417\) | −1.41146 | + | 0.435377i | −0.0691193 | + | 0.0213205i | ||||
\(418\) | −0.607655 | + | 8.10859i | −0.0297214 | + | 0.396604i | ||||
\(419\) | −5.99882 | − | 7.52229i | −0.293062 | − | 0.367488i | 0.613402 | − | 0.789771i | \(-0.289800\pi\) |
−0.906464 | + | 0.422283i | \(0.861229\pi\) | |||||||
\(420\) | −2.16840 | − | 0.668864i | −0.105807 | − | 0.0326372i | ||||
\(421\) | −0.0324626 | + | 0.0827133i | −0.00158213 | + | 0.00403120i | −0.931663 | − | 0.363325i | \(-0.881642\pi\) |
0.930081 | + | 0.367356i | \(0.119737\pi\) | |||||||
\(422\) | 4.87374 | − | 21.3533i | 0.237250 | − | 1.03946i | ||||
\(423\) | 3.42766 | + | 5.93688i | 0.166658 | + | 0.288661i | ||||
\(424\) | −1.61642 | + | 2.79973i | −0.0785005 | + | 0.135967i | ||||
\(425\) | −4.40696 | − | 4.08906i | −0.213769 | − | 0.198348i | ||||
\(426\) | −28.7650 | + | 36.0702i | −1.39367 | + | 1.74761i | ||||
\(427\) | 2.74845 | − | 1.87386i | 0.133007 | − | 0.0906825i | ||||
\(428\) | 1.97081 | − | 0.949093i | 0.0952628 | − | 0.0458761i | ||||
\(429\) | −81.5749 | −3.93847 | ||||||||
\(430\) | −5.68084 | − | 3.27537i | −0.273954 | − | 0.157952i | ||||
\(431\) | 24.5399 | 1.18205 | 0.591023 | − | 0.806655i | \(-0.298724\pi\) | ||||
0.591023 | + | 0.806655i | \(0.298724\pi\) | |||||||
\(432\) | −8.42505 | + | 4.05729i | −0.405350 | + | 0.195206i | ||||
\(433\) | −18.9803 | + | 12.9405i | −0.912134 | + | 0.621882i | −0.925796 | − | 0.378024i | \(-0.876604\pi\) |
0.0136618 | + | 0.999907i | \(0.495651\pi\) | |||||||
\(434\) | 2.99102 | − | 3.75062i | 0.143574 | − | 0.180036i | ||||
\(435\) | 7.95966 | + | 7.38549i | 0.381637 | + | 0.354107i | ||||
\(436\) | −1.16228 | + | 2.01312i | −0.0556629 | + | 0.0964110i | ||||
\(437\) | 8.36353 | + | 14.4861i | 0.400082 | + | 0.692962i | ||||
\(438\) | 8.59610 | − | 37.6620i | 0.410738 | − | 1.79956i | ||||
\(439\) | −11.1170 | + | 28.3257i | −0.530585 | + | 1.35191i | 0.374716 | + | 0.927140i | \(0.377740\pi\) |
−0.905301 | + | 0.424770i | \(0.860355\pi\) | |||||||
\(440\) | −3.82744 | − | 1.18061i | −0.182466 | − | 0.0562833i | ||||
\(441\) | −24.4704 | − | 30.6849i | −1.16526 | − | 1.46118i | ||||
\(442\) | 3.03315 | − | 40.4746i | 0.144272 | − | 1.92518i | ||||
\(443\) | −17.4770 | + | 5.39094i | −0.830358 | + | 0.256131i | −0.680659 | − | 0.732600i | \(-0.738306\pi\) |
−0.149698 | + | 0.988732i | \(0.547830\pi\) | |||||||
\(444\) | 12.3609 | + | 8.42751i | 0.586622 | + | 0.399952i | ||||
\(445\) | 3.06779 | + | 0.462395i | 0.145427 | + | 0.0219196i | ||||
\(446\) | 1.95780 | + | 8.57767i | 0.0927044 | + | 0.406164i | ||||
\(447\) | −14.0668 | + | 13.0520i | −0.665335 | + | 0.617340i | ||||
\(448\) | −0.0562153 | − | 0.750141i | −0.00265592 | − | 0.0354408i | ||||
\(449\) | 11.0051 | + | 28.0405i | 0.519361 | + | 1.32331i | 0.914461 | + | 0.404673i | \(0.132615\pi\) |
−0.395100 | + | 0.918638i | \(0.629290\pi\) | |||||||
\(450\) | 6.03175 | − | 0.909140i | 0.284339 | − | 0.0428573i | ||||
\(451\) | −17.6078 | − | 8.47948i | −0.829119 | − | 0.399283i | ||||
\(452\) | −3.67034 | − | 1.76754i | −0.172638 | − | 0.0831382i | ||||
\(453\) | −33.1127 | + | 4.99093i | −1.55577 | + | 0.234494i | ||||
\(454\) | 6.29879 | + | 16.0491i | 0.295617 | + | 0.753220i | ||||
\(455\) | 0.379532 | + | 5.06451i | 0.0177928 | + | 0.237428i | ||||
\(456\) | 4.48921 | − | 4.16538i | 0.210227 | − | 0.195062i | ||||
\(457\) | 1.16623 | + | 5.10958i | 0.0545538 | + | 0.239016i | 0.994852 | − | 0.101335i | \(-0.0323113\pi\) |
−0.940299 | + | 0.340351i | \(0.889454\pi\) | |||||||
\(458\) | 5.43761 | + | 0.819587i | 0.254083 | + | 0.0382968i | ||||
\(459\) | 46.4485 | + | 31.6681i | 2.16803 | + | 1.47814i | ||||
\(460\) | −7.87346 | + | 2.42864i | −0.367102 | + | 0.113236i | ||||
\(461\) | −2.71877 | + | 36.2794i | −0.126626 | + | 1.68970i | 0.466445 | + | 0.884550i | \(0.345534\pi\) |
−0.593071 | + | 0.805150i | \(0.702085\pi\) | |||||||
\(462\) | 5.66696 | + | 7.10614i | 0.263651 | + | 0.330608i | ||||
\(463\) | −3.03115 | − | 0.934984i | −0.140869 | − | 0.0434524i | 0.223519 | − | 0.974700i | \(-0.428246\pi\) |
−0.364388 | + | 0.931247i | \(0.618722\pi\) | |||||||
\(464\) | −1.31504 | + | 3.35068i | −0.0610494 | + | 0.155551i | ||||
\(465\) | −4.28075 | + | 18.7552i | −0.198515 | + | 0.869752i | ||||
\(466\) | −13.0924 | − | 22.6768i | −0.606496 | − | 1.05048i | ||||
\(467\) | 17.0147 | − | 29.4704i | 0.787348 | − | 1.36373i | −0.140238 | − | 0.990118i | \(-0.544787\pi\) |
0.927586 | − | 0.373609i | \(-0.121880\pi\) | |||||||
\(468\) | 30.1891 | + | 28.0114i | 1.39549 | + | 1.29483i | ||||
\(469\) | −4.62271 | + | 5.79670i | −0.213457 | + | 0.267667i | ||||
\(470\) | 0.928564 | − | 0.633084i | 0.0428315 | − | 0.0292020i | ||||
\(471\) | −32.9876 | + | 15.8860i | −1.51999 | + | 0.731988i | ||||
\(472\) | −13.1492 | −0.605241 | ||||||||
\(473\) | 11.4099 | + | 23.6573i | 0.524629 | + | 1.08776i | ||||
\(474\) | 45.2134 | 2.07672 | ||||||||
\(475\) | −1.82906 | + | 0.880828i | −0.0839229 | + | 0.0404151i | ||||
\(476\) | −3.73653 | + | 2.54752i | −0.171264 | + | 0.116765i | ||||
\(477\) | −12.2952 | + | 15.4177i | −0.562959 | + | 0.705928i | ||||
\(478\) | −11.1658 | − | 10.3604i | −0.510713 | − | 0.473872i | ||||
\(479\) | 0.955435 | − | 1.65486i | 0.0436549 | − | 0.0756126i | −0.843372 | − | 0.537330i | \(-0.819433\pi\) |
0.887027 | + | 0.461717i | \(0.152766\pi\) | |||||||
\(480\) | 1.50830 | + | 2.61245i | 0.0688442 | + | 0.119242i | ||||
\(481\) | 7.45061 | − | 32.6432i | 0.339718 | − | 1.48840i | ||||
\(482\) | 2.93522 | − | 7.47881i | 0.133696 | − | 0.340651i | ||||
\(483\) | 17.8666 | + | 5.51112i | 0.812959 | + | 0.250765i | ||||
\(484\) | 3.14432 | + | 3.94285i | 0.142924 | + | 0.179221i | ||||
\(485\) | −0.0723777 | + | 0.965813i | −0.00328650 | + | 0.0438553i | ||||
\(486\) | −1.75622 | + | 0.541721i | −0.0796636 | + | 0.0245730i | ||||
\(487\) | −10.1324 | − | 6.90815i | −0.459143 | − | 0.313038i | 0.311567 | − | 0.950224i | \(-0.399146\pi\) |
−0.770710 | + | 0.637186i | \(0.780098\pi\) | |||||||
\(488\) | −4.37266 | − | 0.659072i | −0.197941 | − | 0.0298348i | ||||
\(489\) | 3.45486 | + | 15.1367i | 0.156234 | + | 0.684506i | ||||
\(490\) | −4.71655 | + | 4.37632i | −0.213072 | + | 0.197702i | ||||
\(491\) | 1.23761 | + | 16.5148i | 0.0558526 | + | 0.745301i | 0.952884 | + | 0.303334i | \(0.0980999\pi\) |
−0.897032 | + | 0.441966i | \(0.854281\pi\) | |||||||
\(492\) | 5.37734 | + | 13.7012i | 0.242429 | + | 0.617700i | ||||
\(493\) | 21.3977 | − | 3.22519i | 0.963706 | − | 0.145255i | ||||
\(494\) | −12.3487 | − | 5.94683i | −0.555595 | − | 0.267560i | ||||
\(495\) | −22.0128 | − | 10.6008i | −0.989401 | − | 0.476471i | ||||
\(496\) | −6.30599 | + | 0.950475i | −0.283147 | + | 0.0426776i | ||||
\(497\) | −4.20315 | − | 10.7095i | −0.188537 | − | 0.480385i | ||||
\(498\) | 0.820309 | + | 10.9463i | 0.0367589 | + | 0.490514i | ||||
\(499\) | 16.8882 | − | 15.6700i | 0.756020 | − | 0.701484i | −0.204755 | − | 0.978813i | \(-0.565640\pi\) |
0.960775 | + | 0.277329i | \(0.0894493\pi\) | |||||||
\(500\) | −0.222521 | − | 0.974928i | −0.00995144 | − | 0.0436001i | ||||
\(501\) | −27.6766 | − | 4.17158i | −1.23650 | − | 0.186372i | ||||
\(502\) | −13.4775 | − | 9.18878i | −0.601529 | − | 0.410115i | ||||
\(503\) | −8.05237 | + | 2.48383i | −0.359037 | + | 0.110748i | −0.469026 | − | 0.883185i | \(-0.655395\pi\) |
0.109988 | + | 0.993933i | \(0.464919\pi\) | |||||||
\(504\) | 0.342906 | − | 4.57577i | 0.0152743 | − | 0.203821i | ||||
\(505\) | 3.96993 | + | 4.97813i | 0.176659 | + | 0.221524i | ||||
\(506\) | 31.5362 | + | 9.72764i | 1.40196 | + | 0.432446i | ||||
\(507\) | 35.9077 | − | 91.4914i | 1.59472 | − | 4.06328i | ||||
\(508\) | 1.42062 | − | 6.22413i | 0.0630297 | − | 0.276151i | ||||
\(509\) | 4.15947 | + | 7.20442i | 0.184365 | + | 0.319330i | 0.943362 | − | 0.331764i | \(-0.107644\pi\) |
−0.758997 | + | 0.651094i | \(0.774310\pi\) | |||||||
\(510\) | 9.06759 | − | 15.7055i | 0.401520 | − | 0.695452i | ||||
\(511\) | 7.06165 | + | 6.55226i | 0.312389 | + | 0.289855i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | 15.6850 | − | 10.6939i | 0.692512 | − | 0.472146i | ||||
\(514\) | −12.5676 | + | 6.05225i | −0.554334 | + | 0.266953i | ||||
\(515\) | 5.80432 | 0.255769 | ||||||||
\(516\) | 5.81946 | − | 18.9058i | 0.256187 | − | 0.832281i | ||||
\(517\) | −4.50143 | −0.197973 | ||||||||
\(518\) | −3.36120 | + | 1.61867i | −0.147683 | + | 0.0711203i | ||||
\(519\) | 30.0638 | − | 20.4972i | 1.31965 | − | 0.899725i | ||||
\(520\) | 4.20944 | − | 5.27847i | 0.184596 | − | 0.231476i | ||||
\(521\) | −9.64207 | − | 8.94653i | −0.422427 | − | 0.391955i | 0.440114 | − | 0.897942i | \(-0.354938\pi\) |
−0.862541 | + | 0.505987i | \(0.831128\pi\) | |||||||
\(522\) | −10.9783 | + | 19.0149i | −0.480505 | + | 0.832259i | ||||
\(523\) | 13.0441 | + | 22.5931i | 0.570380 | + | 0.987927i | 0.996527 | + | 0.0832727i | \(0.0265372\pi\) |
−0.426147 | + | 0.904654i | \(0.640129\pi\) | |||||||
\(524\) | 1.00740 | − | 4.41372i | 0.0440086 | − | 0.192814i | ||||
\(525\) | −0.829039 | + | 2.11236i | −0.0361822 | + | 0.0921908i | ||||
\(526\) | −10.1418 | − | 3.12834i | −0.442205 | − | 0.136402i | ||||
\(527\) | 23.9037 | + | 29.9743i | 1.04126 | + | 1.30570i | ||||
\(528\) | 0.902937 | − | 12.0489i | 0.0392953 | − | 0.524359i | ||||
\(529\) | 42.8953 | − | 13.2315i | 1.86501 | − | 0.575281i | ||||
\(530\) | 2.67110 | + | 1.82113i | 0.116025 | + | 0.0791048i | ||||
\(531\) | −79.3126 | − | 11.9545i | −3.44188 | − | 0.518779i | ||||
\(532\) | 0.339819 | + | 1.48884i | 0.0147330 | + | 0.0645495i | ||||
\(533\) | 24.1480 | − | 22.4060i | 1.04596 | − | 0.970514i | ||||
\(534\) | 0.699386 | + | 9.33266i | 0.0302654 | + | 0.403864i | ||||
\(535\) | −0.799160 | − | 2.03623i | −0.0345507 | − | 0.0880338i | ||||
\(536\) | 9.74610 | − | 1.46899i | 0.420967 | − | 0.0634506i | ||||
\(537\) | 41.8541 | + | 20.1559i | 1.80614 | + | 0.869790i | ||||
\(538\) | 11.0158 | + | 5.30492i | 0.474924 | + | 0.228711i | ||||
\(539\) | 25.4833 | − | 3.84099i | 1.09764 | − | 0.165443i | ||||
\(540\) | 3.41634 | + | 8.70469i | 0.147016 | + | 0.374590i | ||||
\(541\) | −2.90902 | − | 38.8182i | −0.125068 | − | 1.66892i | −0.608510 | − | 0.793546i | \(-0.708232\pi\) |
0.483442 | − | 0.875377i | \(-0.339387\pi\) | |||||||
\(542\) | 10.3788 | − | 9.63009i | 0.445806 | − | 0.413648i | ||||
\(543\) | 2.91152 | + | 12.7562i | 0.124945 | + | 0.547421i | ||||
\(544\) | 5.94465 | + | 0.896011i | 0.254875 | + | 0.0384162i | ||||
\(545\) | 1.92063 | + | 1.30947i | 0.0822710 | + | 0.0560914i | ||||
\(546\) | −14.6398 | + | 4.51578i | −0.626525 | + | 0.193257i | ||||
\(547\) | −1.41946 | + | 18.9414i | −0.0606917 | + | 0.809874i | 0.880940 | + | 0.473228i | \(0.156912\pi\) |
−0.941631 | + | 0.336646i | \(0.890708\pi\) | |||||||
\(548\) | 6.04637 | + | 7.58191i | 0.258288 | + | 0.323883i | ||||
\(549\) | −25.7756 | − | 7.95071i | −1.10008 | − | 0.339328i | ||||
\(550\) | −1.46333 | + | 3.72851i | −0.0623966 | + | 0.158984i | ||||
\(551\) | 1.62604 | − | 7.12413i | 0.0692715 | − | 0.303498i | ||||
\(552\) | −12.4277 | − | 21.5254i | −0.528957 | − | 0.916180i | ||||
\(553\) | −5.63739 | + | 9.76425i | −0.239726 | + | 0.415218i | ||||
\(554\) | 14.5122 | + | 13.4654i | 0.616566 | + | 0.572089i | ||||
\(555\) | 9.32767 | − | 11.6965i | 0.395938 | − | 0.496490i | ||||
\(556\) | −0.404568 | + | 0.275830i | −0.0171575 | + | 0.0116978i | ||||
\(557\) | −20.3074 | + | 9.77954i | −0.860453 | + | 0.414372i | −0.811447 | − | 0.584426i | \(-0.801320\pi\) |
−0.0490062 | + | 0.998798i | \(0.515605\pi\) | |||||||
\(558\) | −38.9003 | −1.64678 | ||||||||
\(559\) | −44.1462 | + | 3.33447i | −1.86719 | + | 0.141033i | ||||
\(560\) | −0.752244 | −0.0317881 | ||||||||
\(561\) | −65.4449 | + | 31.5166i | −2.76308 | + | 1.33063i | ||||
\(562\) | −21.3107 | + | 14.5294i | −0.898937 | + | 0.612885i | ||||
\(563\) | −18.5750 | + | 23.2923i | −0.782843 | + | 0.981654i | 0.217142 | + | 0.976140i | \(0.430326\pi\) |
−0.999985 | + | 0.00551353i | \(0.998245\pi\) | |||||||
\(564\) | 2.48519 | + | 2.30591i | 0.104645 | + | 0.0970965i | ||||
\(565\) | −2.03689 | + | 3.52799i | −0.0856924 | + | 0.148424i | ||||
\(566\) | 0.870892 | + | 1.50843i | 0.0366063 | + | 0.0634040i | ||||
\(567\) | 1.65865 | − | 7.26702i | 0.0696567 | − | 0.305186i | ||||
\(568\) | −5.58748 | + | 14.2367i | −0.234446 | + | 0.597358i | ||||
\(569\) | −21.4381 | − | 6.61278i | −0.898732 | − | 0.277222i | −0.189236 | − | 0.981932i | \(-0.560601\pi\) |
−0.709496 | + | 0.704709i | \(0.751077\pi\) | |||||||
\(570\) | −3.81825 | − | 4.78794i | −0.159929 | − | 0.200545i | ||||
\(571\) | −0.00105218 | + | 0.0140404i | −4.40325e−5 | + | 0.000587572i | −0.997226 | − | 0.0744363i | \(-0.976284\pi\) |
0.997182 | + | 0.0750239i | \(0.0239033\pi\) | |||||||
\(572\) | −25.8406 | + | 7.97077i | −1.08045 | + | 0.333274i | ||||
\(573\) | −37.4532 | − | 25.5351i | −1.56463 | − | 1.06675i | ||||
\(574\) | −3.62938 | − | 0.547041i | −0.151487 | − | 0.0228330i | ||||
\(575\) | 1.83347 | + | 8.03294i | 0.0764608 | + | 0.334997i | ||||
\(576\) | −4.47153 | + | 4.14897i | −0.186314 | + | 0.172874i | ||||
\(577\) | 0.927504 | + | 12.3767i | 0.0386125 | + | 0.515248i | 0.982657 | + | 0.185431i | \(0.0593681\pi\) |
−0.944045 | + | 0.329817i | \(0.893013\pi\) | |||||||
\(578\) | −6.99323 | − | 17.8185i | −0.290880 | − | 0.741150i | ||||
\(579\) | 5.38938 | − | 0.812318i | 0.223975 | − | 0.0337588i | ||||
\(580\) | 3.24304 | + | 1.56176i | 0.134660 | + | 0.0648487i | ||||
\(581\) | −2.46623 | − | 1.18767i | −0.102316 | − | 0.0492729i | ||||
\(582\) | −2.88901 | + | 0.435448i | −0.119753 | + | 0.0180499i | ||||
\(583\) | −4.73073 | − | 12.0537i | −0.195927 | − | 0.499213i | ||||
\(584\) | −0.956992 | − | 12.7702i | −0.0396006 | − | 0.528433i | ||||
\(585\) | 30.1891 | − | 28.0114i | 1.24817 | − | 1.15813i | ||||
\(586\) | −6.58643 | − | 28.8570i | −0.272083 | − | 1.19207i | ||||
\(587\) | −4.98210 | − | 0.750930i | −0.205633 | − | 0.0309942i | 0.0454178 | − | 0.998968i | \(-0.485538\pi\) |
−0.251051 | + | 0.967974i | \(0.580776\pi\) | |||||||
\(588\) | −16.0366 | − | 10.9336i | −0.661340 | − | 0.450894i | ||||
\(589\) | 12.3712 | − | 3.81602i | 0.509747 | − | 0.157236i | ||||
\(590\) | −0.982641 | + | 13.1124i | −0.0404547 | + | 0.539830i | ||||
\(591\) | 20.5592 | + | 25.7805i | 0.845694 | + | 1.06047i | ||||
\(592\) | 4.73904 | + | 1.46180i | 0.194773 | + | 0.0600796i | ||||
\(593\) | −7.39781 | + | 18.8493i | −0.303791 | + | 0.774048i | 0.694708 | + | 0.719292i | \(0.255533\pi\) |
−0.998500 | + | 0.0547565i | \(0.982562\pi\) | |||||||
\(594\) | 8.33446 | − | 36.5157i | 0.341967 | − | 1.49826i | ||||
\(595\) | 2.26117 | + | 3.91646i | 0.0926988 | + | 0.160559i | ||||
\(596\) | −3.18062 | + | 5.50899i | −0.130283 | + | 0.225657i | ||||
\(597\) | −35.6905 | − | 33.1160i | −1.46072 | − | 1.35535i | ||||
\(598\) | −34.6837 | + | 43.4920i | −1.41832 | + | 1.77852i | ||||
\(599\) | 31.6095 | − | 21.5510i | 1.29153 | − | 0.880550i | 0.294357 | − | 0.955696i | \(-0.404895\pi\) |
0.997173 | + | 0.0751458i | \(0.0239422\pi\) | |||||||
\(600\) | 2.71786 | − | 1.30885i | 0.110956 | − | 0.0534337i | ||||
\(601\) | 46.7539 | 1.90713 | 0.953565 | − | 0.301188i | \(-0.0973832\pi\) | ||||
0.953565 | + | 0.301188i | \(0.0973832\pi\) | |||||||
\(602\) | 3.35728 | + | 3.61402i | 0.136833 | + | 0.147296i | ||||
\(603\) | 60.1215 | 2.44834 | ||||||||
\(604\) | −10.0015 | + | 4.81646i | −0.406954 | + | 0.195979i | ||||
\(605\) | 4.16680 | − | 2.84088i | 0.169405 | − | 0.115498i | ||||
\(606\) | −11.9757 | + | 15.0170i | −0.486479 | + | 0.610025i | ||||
\(607\) | −11.2077 | − | 10.3992i | −0.454907 | − | 0.422092i | 0.419149 | − | 0.907918i | \(-0.362329\pi\) |
−0.874056 | + | 0.485825i | \(0.838519\pi\) | |||||||
\(608\) | 1.01505 | − | 1.75812i | 0.0411657 | − | 0.0713011i | ||||
\(609\) | −4.08403 | − | 7.07374i | −0.165493 | − | 0.286643i | ||||
\(610\) | −0.983998 | + | 4.31118i | −0.0398409 | + | 0.174554i | ||||
\(611\) | 2.77204 | − | 7.06304i | 0.112145 | − | 0.285740i | ||||
\(612\) | 35.0420 | + | 10.8090i | 1.41649 | + | 0.436929i | ||||
\(613\) | 13.4681 | + | 16.8885i | 0.543972 | + | 0.682119i | 0.975505 | − | 0.219978i | \(-0.0705986\pi\) |
−0.431533 | + | 0.902097i | \(0.642027\pi\) | |||||||
\(614\) | −0.778593 | + | 10.3896i | −0.0314214 | + | 0.419290i | ||||
\(615\) | 14.0648 | − | 4.33841i | 0.567147 | − | 0.174942i | ||||
\(616\) | 2.48948 | + | 1.69730i | 0.100304 | + | 0.0683861i | ||||
\(617\) | 33.7284 | + | 5.08374i | 1.35785 | + | 0.204664i | 0.787287 | − | 0.616587i | \(-0.211485\pi\) |
0.570568 | + | 0.821251i | \(0.306723\pi\) | |||||||
\(618\) | 3.89619 | + | 17.0703i | 0.156728 | + | 0.686669i | ||||
\(619\) | −8.30196 | + | 7.70309i | −0.333684 | + | 0.309613i | −0.829163 | − | 0.559006i | \(-0.811183\pi\) |
0.495480 | + | 0.868620i | \(0.334992\pi\) | |||||||
\(620\) | 0.476570 | + | 6.35939i | 0.0191395 | + | 0.255399i | ||||
\(621\) | −28.1490 | − | 71.7225i | −1.12958 | − | 2.87812i | ||||
\(622\) | 20.7396 | − | 3.12599i | 0.831581 | − | 0.125341i | ||||
\(623\) | −2.10267 | − | 1.01259i | −0.0842419 | − | 0.0405688i | ||||
\(624\) | 18.3494 | + | 8.83661i | 0.734564 | + | 0.353748i | ||||
\(625\) | −0.988831 | + | 0.149042i | −0.0395532 | + | 0.00596169i | ||||
\(626\) | −5.87065 | − | 14.9582i | −0.234638 | − | 0.597849i | ||||
\(627\) | 1.83305 | + | 24.4604i | 0.0732051 | + | 0.976854i | ||||
\(628\) | −8.89729 | + | 8.25548i | −0.355041 | + | 0.329430i | ||||
\(629\) | −6.63439 | − | 29.0672i | −0.264530 | − | 1.15898i | ||||
\(630\) | −4.53735 | − | 0.683895i | −0.180772 | − | 0.0272470i | ||||
\(631\) | 30.3527 | + | 20.6941i | 1.20832 | + | 0.823820i | 0.988426 | − | 0.151704i | \(-0.0484760\pi\) |
0.219895 | + | 0.975523i | \(0.429428\pi\) | |||||||
\(632\) | 14.3223 | − | 4.41785i | 0.569711 | − | 0.175733i | ||||
\(633\) | 4.93747 | − | 65.8860i | 0.196247 | − | 2.61873i | ||||
\(634\) | 0.122500 | + | 0.153611i | 0.00486512 | + | 0.00610066i | ||||
\(635\) | −6.10057 | − | 1.88178i | −0.242094 | − | 0.0746760i | ||||
\(636\) | −3.56288 | + | 9.07808i | −0.141278 | + | 0.359969i | ||||
\(637\) | −9.66619 | + | 42.3503i | −0.382988 | + | 1.67798i | ||||
\(638\) | −7.20869 | − | 12.4858i | −0.285395 | − | 0.494318i | ||||
\(639\) | −46.6454 | + | 80.7922i | −1.84526 | + | 3.19609i | ||||
\(640\) | 0.733052 | + | 0.680173i | 0.0289764 | + | 0.0268862i | ||||
\(641\) | 19.5456 | − | 24.5094i | 0.772003 | − | 0.968062i | −0.227981 | − | 0.973666i | \(-0.573212\pi\) |
0.999984 | + | 0.00560405i | \(0.00178383\pi\) | |||||||
\(642\) | 5.45204 | − | 3.71714i | 0.215175 | − | 0.146704i | ||||
\(643\) | 29.2105 | − | 14.0670i | 1.15195 | − | 0.554750i | 0.242331 | − | 0.970194i | \(-0.422088\pi\) |
0.909619 | + | 0.415444i | \(0.136374\pi\) | |||||||
\(644\) | 6.19813 | 0.244241 | ||||||||
\(645\) | −18.4180 | − | 7.21602i | −0.725209 | − | 0.284130i | ||||
\(646\) | −12.2045 | −0.480181 | ||||||||
\(647\) | 0.133047 | − | 0.0640720i | 0.00523062 | − | 0.00251893i | −0.431267 | − | 0.902225i | \(-0.641933\pi\) |
0.436497 | + | 0.899706i | \(0.356219\pi\) | |||||||
\(648\) | −8.18711 | + | 5.58188i | −0.321620 | + | 0.219277i | ||||
\(649\) | 32.8377 | − | 41.1772i | 1.28899 | − | 1.61635i | ||||
\(650\) | −4.94913 | − | 4.59213i | −0.194121 | − | 0.180118i | ||||
\(651\) | 7.23566 | − | 12.5325i | 0.283588 | − | 0.491188i | ||||
\(652\) | 2.57343 | + | 4.45730i | 0.100783 | + | 0.174561i | ||||
\(653\) | −8.17451 | + | 35.8149i | −0.319893 | + | 1.40154i | 0.517846 | + | 0.855474i | \(0.326734\pi\) |
−0.837739 | + | 0.546070i | \(0.816123\pi\) | |||||||
\(654\) | −2.56186 | + | 6.52751i | −0.100177 | + | 0.255246i | ||||
\(655\) | −4.32610 | − | 1.33442i | −0.169035 | − | 0.0521403i | ||||
\(656\) | 3.04215 | + | 3.81474i | 0.118776 | + | 0.148940i | ||||
\(657\) | 5.83754 | − | 77.8965i | 0.227744 | − | 3.03903i | ||||
\(658\) | −0.807846 | + | 0.249188i | −0.0314931 | + | 0.00971434i | ||||
\(659\) | 13.1214 | + | 8.94601i | 0.511137 | + | 0.348487i | 0.791263 | − | 0.611476i | \(-0.209424\pi\) |
−0.280126 | + | 0.959963i | \(0.590376\pi\) | |||||||
\(660\) | −11.9477 | − | 1.80082i | −0.465063 | − | 0.0700970i | ||||
\(661\) | 9.38824 | + | 41.1326i | 0.365160 | + | 1.59987i | 0.739884 | + | 0.672735i | \(0.234881\pi\) |
−0.374723 | + | 0.927137i | \(0.622262\pi\) | |||||||
\(662\) | 8.80448 | − | 8.16936i | 0.342196 | − | 0.317511i | ||||
\(663\) | −9.14980 | − | 122.096i | −0.355349 | − | 4.74180i | ||||
\(664\) | 1.32942 | + | 3.38731i | 0.0515916 | + | 0.131453i | ||||
\(665\) | 1.51007 | − | 0.227607i | 0.0585582 | − | 0.00882622i | ||||
\(666\) | 27.2557 | + | 13.1256i | 1.05614 | + | 0.508609i | ||||
\(667\) | −26.7211 | − | 12.8682i | −1.03464 | − | 0.498258i | ||||
\(668\) | −9.17477 | + | 1.38287i | −0.354983 | + | 0.0535050i | ||||
\(669\) | 9.69646 | + | 24.7062i | 0.374887 | + | 0.955196i | ||||
\(670\) | −0.736553 | − | 9.82862i | −0.0284555 | − | 0.379713i | ||||
\(671\) | 12.9838 | − | 12.0472i | 0.501235 | − | 0.465078i | ||||
\(672\) | −0.504949 | − | 2.21233i | −0.0194788 | − | 0.0853423i | ||||
\(673\) | −12.5470 | − | 1.89116i | −0.483652 | − | 0.0728988i | −0.0973095 | − | 0.995254i | \(-0.531024\pi\) |
−0.386343 | + | 0.922355i | \(0.626262\pi\) | |||||||
\(674\) | 15.8562 | + | 10.8106i | 0.610759 | + | 0.416408i | ||||
\(675\) | 8.93565 | − | 2.75628i | 0.343934 | − | 0.106089i | ||||
\(676\) | 2.43482 | − | 32.4904i | 0.0936470 | − | 1.24963i | ||||
\(677\) | −12.2568 | − | 15.3696i | −0.471067 | − | 0.590700i | 0.488365 | − | 0.872640i | \(-0.337594\pi\) |
−0.959432 | + | 0.281940i | \(0.909022\pi\) | |||||||
\(678\) | −11.7430 | − | 3.62223i | −0.450986 | − | 0.139111i | ||||
\(679\) | 0.266174 | − | 0.678202i | 0.0102148 | − | 0.0260270i | ||||
\(680\) | 1.33775 | − | 5.86106i | 0.0513004 | − | 0.224762i | ||||
\(681\) | 26.0044 | + | 45.0409i | 0.996491 | + | 1.72597i | ||||
\(682\) | 12.7716 | − | 22.1211i | 0.489050 | − | 0.847059i | ||||
\(683\) | −26.4310 | − | 24.5244i | −1.01135 | − | 0.938400i | −0.0132479 | − | 0.999912i | \(-0.504217\pi\) |
−0.998106 | + | 0.0615127i | \(0.980408\pi\) | |||||||
\(684\) | 7.72090 | − | 9.68171i | 0.295216 | − | 0.370189i | ||||
\(685\) | 8.01255 | − | 5.46287i | 0.306144 | − | 0.208725i | ||||
\(686\) | 9.10496 | − | 4.38472i | 0.347629 | − | 0.167409i | ||||
\(687\) | 16.5884 | 0.632886 | ||||||||
\(688\) | −0.00386573 | − | 6.55744i | −0.000147380 | − | 0.250000i | ||||
\(689\) | 21.8263 | 0.831515 | ||||||||
\(690\) | −22.3939 | + | 10.7843i | −0.852521 | + | 0.410552i | ||||
\(691\) | 6.18766 | − | 4.21868i | 0.235390 | − | 0.160486i | −0.439881 | − | 0.898056i | \(-0.644979\pi\) |
0.675271 | + | 0.737570i | \(0.264027\pi\) | |||||||
\(692\) | 7.52056 | − | 9.43048i | 0.285889 | − | 0.358493i | ||||
\(693\) | 13.4728 | + | 12.5010i | 0.511791 | + | 0.474872i | ||||
\(694\) | 3.74488 | − | 6.48633i | 0.142154 | − | 0.246218i | ||||
\(695\) | 0.244825 | + | 0.424050i | 0.00928675 | + | 0.0160851i | ||||
\(696\) | −2.41619 | + | 10.5860i | −0.0915854 | + | 0.401262i | ||||
\(697\) | 10.7165 | − | 27.3053i | 0.405917 | − | 1.03426i | ||||
\(698\) | 0.941181 | + | 0.290316i | 0.0356242 | + | 0.0109886i | ||||
\(699\) | −49.2490 | − | 61.7563i | −1.86277 | − | 2.33584i | ||||
\(700\) | −0.0562153 | + | 0.750141i | −0.00212474 | + | 0.0283527i | ||||
\(701\) | −27.1688 | + | 8.38047i | −1.02615 | + | 0.316526i | −0.761739 | − | 0.647883i | \(-0.775654\pi\) |
−0.264413 | + | 0.964410i | \(0.585178\pi\) | |||||||
\(702\) | 52.1630 | + | 35.5641i | 1.96877 | + | 1.34228i | ||||
\(703\) | −9.95556 | − | 1.50056i | −0.375481 | − | 0.0565947i | ||||
\(704\) | −0.891282 | − | 3.90496i | −0.0335914 | − | 0.147174i | ||||
\(705\) | 2.48519 | − | 2.30591i | 0.0935975 | − | 0.0868458i | ||||
\(706\) | 0.751036 | + | 10.0219i | 0.0282656 | + | 0.377178i | ||||
\(707\) | −1.74989 | − | 4.45864i | −0.0658113 | − | 0.167685i | ||||
\(708\) | −39.2228 | + | 5.91189i | −1.47408 | + | 0.222182i | ||||
\(709\) | 3.45912 | + | 1.66582i | 0.129910 | + | 0.0625613i | 0.497710 | − | 0.867344i | \(-0.334175\pi\) |
−0.367800 | + | 0.929905i | \(0.619889\pi\) | |||||||
\(710\) | 13.7793 | + | 6.63577i | 0.517128 | + | 0.249036i | ||||
\(711\) | 90.4050 | − | 13.6264i | 3.39045 | − | 0.511029i | ||||
\(712\) | 1.13345 | + | 2.88798i | 0.0424778 | + | 0.108232i | ||||
\(713\) | −3.92671 | − | 52.3983i | −0.147056 | − | 1.96233i | ||||
\(714\) | −10.0004 | + | 9.27897i | −0.374254 | + | 0.347257i | ||||
\(715\) | 6.01741 | + | 26.3640i | 0.225038 | + | 0.985957i | ||||
\(716\) | 15.2276 | + | 2.29520i | 0.569084 | + | 0.0857756i | ||||
\(717\) | −37.9646 | − | 25.8839i | −1.41782 | − | 0.966650i | ||||
\(718\) | 25.2832 | − | 7.79885i | 0.943562 | − | 0.291050i | ||||
\(719\) | −2.35735 | + | 31.4567i | −0.0879144 | + | 1.17314i | 0.762487 | + | 0.647003i | \(0.223978\pi\) |
−0.850402 | + | 0.526134i | \(0.823641\pi\) | |||||||
\(720\) | 3.80321 | + | 4.76908i | 0.141737 | + | 0.177733i | ||||
\(721\) | −4.17229 | − | 1.28698i | −0.155384 | − | 0.0479297i | ||||
\(722\) | 5.43580 | − | 13.8502i | 0.202299 | − | 0.515450i | ||||
\(723\) | 5.39300 | − | 23.6283i | 0.200568 | − | 0.878745i | ||||
\(724\) | 2.16871 | + | 3.75631i | 0.0805994 | + | 0.139602i | ||||
\(725\) | 1.79975 | − | 3.11726i | 0.0668410 | − | 0.115772i | ||||
\(726\) | 11.1519 | + | 10.3475i | 0.413887 | + | 0.384031i | ||||
\(727\) | 18.0648 | − | 22.6526i | 0.669987 | − | 0.840137i | −0.324402 | − | 0.945919i | \(-0.605163\pi\) |
0.994389 | + | 0.105782i | \(0.0337346\pi\) | |||||||
\(728\) | −4.19623 | + | 2.86094i | −0.155522 | + | 0.106033i | ||||
\(729\) | 21.7877 | − | 10.4924i | 0.806953 | − | 0.388608i | ||||
\(730\) | −12.8060 | −0.473971 | ||||||||
\(731\) | −34.1288 | + | 19.7311i | −1.26230 | + | 0.729781i | ||||
\(732\) | −13.3396 | −0.493044 | ||||||||
\(733\) | −23.4224 | + | 11.2796i | −0.865125 | + | 0.416622i | −0.813169 | − | 0.582027i | \(-0.802260\pi\) |
−0.0519559 | + | 0.998649i | \(0.516546\pi\) | |||||||
\(734\) | 26.4027 | − | 18.0010i | 0.974540 | − | 0.664430i | ||||
\(735\) | −12.1014 | + | 15.1747i | −0.446368 | + | 0.559728i | ||||
\(736\) | −6.03999 | − | 5.60430i | −0.222637 | − | 0.206577i | ||||
\(737\) | −19.7389 | + | 34.1888i | −0.727091 | + | 1.25936i | ||||
\(738\) | 14.8814 | + | 25.7753i | 0.547791 | + | 0.948801i | ||||
\(739\) | −2.01060 | + | 8.80903i | −0.0739612 | + | 0.324045i | −0.998351 | − | 0.0574039i | \(-0.981718\pi\) |
0.924390 | + | 0.381449i | \(0.124575\pi\) | |||||||
\(740\) | 1.81186 | − | 4.61654i | 0.0666053 | − | 0.169708i | ||||
\(741\) | −39.5088 | − | 12.1868i | −1.45139 | − | 0.447695i | ||||
\(742\) | −1.51626 | − | 1.90133i | −0.0556636 | − | 0.0698000i | ||||
\(743\) | 2.54139 | − | 33.9125i | 0.0932347 | − | 1.24413i | −0.732773 | − | 0.680473i | \(-0.761775\pi\) |
0.826008 | − | 0.563658i | \(-0.190606\pi\) | |||||||
\(744\) | −18.3829 | + | 5.67036i | −0.673948 | + | 0.207885i | ||||
\(745\) | 5.25590 | + | 3.58341i | 0.192561 | + | 0.131286i | ||||
\(746\) | −11.1312 | − | 1.67775i | −0.407541 | − | 0.0614269i | ||||
\(747\) | 4.93920 | + | 21.6400i | 0.180716 | + | 0.791768i | ||||
\(748\) | −17.6515 | + | 16.3782i | −0.645404 | + | 0.598848i | ||||
\(749\) | 0.122967 | + | 1.64088i | 0.00449313 | + | 0.0599566i | ||||
\(750\) | −1.10209 | − | 2.80807i | −0.0402426 | − | 0.102536i | ||||
\(751\) | −39.6262 | + | 5.97269i | −1.44598 | + | 0.217946i | −0.824668 | − | 0.565617i | \(-0.808638\pi\) |
−0.621312 | + | 0.783563i | \(0.713400\pi\) | |||||||
\(752\) | 1.01255 | + | 0.487618i | 0.0369239 | + | 0.0177816i | ||||
\(753\) | −44.3333 | − | 21.3498i | −1.61560 | − | 0.778030i | ||||
\(754\) | 24.0303 | − | 3.62198i | 0.875131 | − | 0.131905i | ||||
\(755\) | 4.05558 | + | 10.3334i | 0.147598 | + | 0.376073i | ||||
\(756\) | −0.525675 | − | 7.01464i | −0.0191186 | − | 0.255120i | ||||
\(757\) | 34.0036 | − | 31.5507i | 1.23588 | − | 1.14673i | 0.252033 | − | 0.967719i | \(-0.418901\pi\) |
0.983847 | − | 0.179011i | \(-0.0572897\pi\) | |||||||
\(758\) | 6.28633 | + | 27.5422i | 0.228330 | + | 1.00038i | ||||
\(759\) | 98.4432 | + | 14.8379i | 3.57326 | + | 0.538583i | ||||
\(760\) | −1.67735 | − | 1.14360i | −0.0608438 | − | 0.0414826i | ||||
\(761\) | 8.71766 | − | 2.68904i | 0.316015 | − | 0.0974777i | −0.132690 | − | 0.991158i | \(-0.542362\pi\) |
0.448705 | + | 0.893680i | \(0.351885\pi\) | |||||||
\(762\) | 1.43920 | − | 19.2047i | 0.0521365 | − | 0.695714i | ||||
\(763\) | −1.09025 | − | 1.36713i | −0.0394698 | − | 0.0494936i | ||||
\(764\) | −14.3592 | − | 4.42921i | −0.519496 | − | 0.160243i | ||||
\(765\) | 13.3975 | − | 34.1363i | 0.484387 | − | 1.23420i | ||||
\(766\) | −1.65835 | + | 7.26572i | −0.0599187 | + | 0.262521i | ||||
\(767\) | 44.3878 | + | 76.8819i | 1.60275 | + | 2.77605i | ||||
\(768\) | −1.50830 | + | 2.61245i | −0.0544261 | + | 0.0942688i | ||||
\(769\) | 4.82516 | + | 4.47709i | 0.174000 | + | 0.161448i | 0.762365 | − | 0.647147i | \(-0.224038\pi\) |
−0.588366 | + | 0.808595i | \(0.700228\pi\) | |||||||
\(770\) | 1.87859 | − | 2.35568i | 0.0676997 | − | 0.0848928i | ||||
\(771\) | −34.7670 | + | 23.7037i | −1.25210 | + | 0.853669i | ||||
\(772\) | 1.62783 | − | 0.783921i | 0.0585868 | − | 0.0282139i | ||||
\(773\) | −7.70623 | −0.277174 | −0.138587 | − | 0.990350i | \(-0.544256\pi\) | ||||
−0.138587 | + | 0.990350i | \(0.544256\pi\) | |||||||
\(774\) | 5.93831 | − | 39.5563i | 0.213448 | − | 1.42182i | ||||
\(775\) | 6.37722 | 0.229076 | ||||||||
\(776\) | −0.872608 | + | 0.420226i | −0.0313248 | + | 0.0150852i | ||||
\(777\) | −9.29840 | + | 6.33954i | −0.333578 | + | 0.227430i | ||||
\(778\) | −4.96642 | + | 6.22770i | −0.178055 | + | 0.223274i | ||||
\(779\) | −7.26112 | − | 6.73734i | −0.260157 | − | 0.241390i | ||||
\(780\) | 10.1832 | − | 17.6377i | 0.364615 | − | 0.631532i | ||||
\(781\) | −30.6289 | − | 53.0509i | −1.09599 | − | 1.89831i | ||||
\(782\) | −11.0224 | + | 48.2923i | −0.394161 | + | 1.72693i | ||||
\(783\) | −12.2971 | + | 31.3325i | −0.439463 | + | 1.11973i | ||||
\(784\) | −6.14828 | − | 1.89649i | −0.219581 | − | 0.0677319i | ||||
\(785\) | 7.56750 | + | 9.48935i | 0.270096 | + | 0.338689i | ||||
\(786\) | 1.02058 | − | 13.6187i | 0.0364028 | − | 0.485761i | ||||
\(787\) | −43.2341 | + | 13.3360i | −1.54113 | + | 0.475375i | −0.944878 | − | 0.327422i | \(-0.893820\pi\) |
−0.596251 | + | 0.802798i | \(0.703344\pi\) | |||||||
\(788\) | 9.03161 | + | 6.15765i | 0.321738 | + | 0.219357i | ||||
\(789\) | −31.6586 | − | 4.77177i | −1.12708 | − | 0.169880i | ||||
\(790\) | −3.33519 | − | 14.6124i | −0.118661 | − | 0.519886i | ||||
\(791\) | 2.24642 | − | 2.08437i | 0.0798733 | − | 0.0741116i | ||||
\(792\) | −1.82583 | − | 24.3640i | −0.0648781 | − | 0.865738i | ||||
\(793\) | 10.9073 | + | 27.7913i | 0.387329 | + | 0.986898i | ||||
\(794\) | 31.8066 | − | 4.79408i | 1.12877 | − | 0.170135i | ||||
\(795\) | 8.78644 | + | 4.23133i | 0.311623 | + | 0.150070i | ||||
\(796\) | −14.5415 | − | 7.00284i | −0.515411 | − | 0.248209i | ||||
\(797\) | 2.06629 | − | 0.311443i | 0.0731917 | − | 0.0110319i | −0.112344 | − | 0.993669i | \(-0.535836\pi\) |
0.185536 | + | 0.982637i | \(0.440598\pi\) | |||||||
\(798\) | 1.68303 | + | 4.28830i | 0.0595787 | + | 0.151804i | ||||
\(799\) | −0.504900 | − | 6.73743i | −0.0178621 | − | 0.238353i | ||||
\(800\) | 0.733052 | − | 0.680173i | 0.0259173 | − | 0.0240477i | ||||
\(801\) | 4.21110 | + | 18.4500i | 0.148792 | + | 0.651900i | ||||
\(802\) | −13.3929 | − | 2.01865i | −0.472918 | − | 0.0712810i | ||||
\(803\) | 42.3801 | + | 28.8943i | 1.49556 | + | 1.01966i | ||||
\(804\) | 28.4112 | − | 8.76371i | 1.00199 | − | 0.309072i | ||||
\(805\) | 0.463187 | − | 6.18080i | 0.0163252 | − | 0.217845i | ||||
\(806\) | 26.8445 | + | 33.6619i | 0.945557 | + | 1.18569i | ||||
\(807\) | 35.2441 | + | 10.8714i | 1.24065 | + | 0.382691i | ||||
\(808\) | −2.32622 | + | 5.92712i | −0.0818363 | + | 0.208515i | ||||
\(809\) | −4.90762 | + | 21.5017i | −0.172543 | + | 0.755959i | 0.812403 | + | 0.583096i | \(0.198159\pi\) |
−0.984946 | + | 0.172863i | \(0.944698\pi\) | |||||||
\(810\) | 4.95444 | + | 8.58135i | 0.174081 | + | 0.301518i | ||||
\(811\) | 2.08286 | − | 3.60761i | 0.0731390 | − | 0.126680i | −0.827136 | − | 0.562001i | \(-0.810032\pi\) |
0.900275 | + | 0.435321i | \(0.143365\pi\) | |||||||
\(812\) | −1.98489 | − | 1.84170i | −0.0696558 | − | 0.0646312i | ||||
\(813\) | 26.6292 | − | 33.3920i | 0.933927 | − | 1.17111i | ||||
\(814\) | −16.4125 | + | 11.1899i | −0.575259 | + | 0.392205i | ||||
\(815\) | 4.63715 | − | 2.23313i | 0.162432 | − | 0.0782233i | ||||
\(816\) | 18.1352 | 0.634858 | ||||||||
\(817\) | 1.99185 | + | 13.1624i | 0.0696860 | + | 0.460494i | ||||
\(818\) | −39.7218 | −1.38884 | ||||||||
\(819\) | −27.9116 | + | 13.4415i | −0.975309 | + | 0.469684i | ||||
\(820\) | 4.03141 | − | 2.74857i | 0.140783 | − | 0.0959842i | ||||
\(821\) | 5.78574 | − | 7.25508i | 0.201924 | − | 0.253204i | −0.670551 | − | 0.741863i | \(-0.733942\pi\) |
0.872475 | + | 0.488659i | \(0.162514\pi\) | |||||||
\(822\) | 21.4446 | + | 19.8977i | 0.747966 | + | 0.694011i | ||||
\(823\) | −8.21699 | + | 14.2322i | −0.286426 | + | 0.496105i | −0.972954 | − | 0.230999i | \(-0.925801\pi\) |
0.686528 | + | 0.727104i | \(0.259134\pi\) | |||||||
\(824\) | 2.90216 | + | 5.02669i | 0.101102 | + | 0.175113i | ||||
\(825\) | −2.68864 | + | 11.7797i | −0.0936065 | + | 0.410117i | ||||
\(826\) | 3.61374 | − | 9.20765i | 0.125738 | − | 0.320375i | ||||
\(827\) | −18.8982 | − | 5.82932i | −0.657154 | − | 0.202705i | −0.0517951 | − | 0.998658i | \(-0.516494\pi\) |
−0.605359 | + | 0.795952i | \(0.706970\pi\) | |||||||
\(828\) | −31.3366 | − | 39.2949i | −1.08902 | − | 1.36559i | ||||
\(829\) | 1.63500 | − | 21.8175i | 0.0567858 | − | 0.757754i | −0.894032 | − | 0.448003i | \(-0.852135\pi\) |
0.950818 | − | 0.309751i | \(-0.100246\pi\) | |||||||
\(830\) | 3.47719 | − | 1.07257i | 0.120695 | − | 0.0372295i | ||||
\(831\) | 49.3427 | + | 33.6413i | 1.71168 | + | 1.16700i | ||||
\(832\) | 6.67600 | + | 1.00625i | 0.231449 | + | 0.0348853i | ||||
\(833\) | 8.60725 | + | 37.7108i | 0.298224 | + | 1.30660i | ||||
\(834\) | −1.08278 | + | 1.00467i | −0.0374935 | + | 0.0347888i | ||||
\(835\) | 0.693376 | + | 9.25246i | 0.0239953 | + | 0.320195i | ||||
\(836\) | 2.97071 | + | 7.56924i | 0.102744 | + | 0.261788i | ||||
\(837\) | −58.9679 | + | 8.88799i | −2.03823 | + | 0.307214i | ||||
\(838\) | −8.66855 | − | 4.17456i | −0.299450 | − | 0.144208i | ||||
\(839\) | 43.7922 | + | 21.0892i | 1.51187 | + | 0.728080i | 0.992009 | − | 0.126168i | \(-0.0402680\pi\) |
0.519865 | + | 0.854248i | \(0.325982\pi\) | |||||||
\(840\) | −2.24387 | + | 0.338210i | −0.0774210 | + | 0.0116693i | ||||
\(841\) | −5.86139 | − | 14.9346i | −0.202117 | − | 0.514985i | ||||
\(842\) | 0.00664019 | + | 0.0886071i | 0.000228836 | + | 0.00305360i | ||||
\(843\) | −57.0354 | + | 52.9211i | −1.96440 | + | 1.82270i | ||||
\(844\) | −4.87374 | − | 21.3533i | −0.167761 | − | 0.735009i | ||||
\(845\) | −32.2176 | − | 4.85603i | −1.10832 | − | 0.167052i | ||||
\(846\) | 5.66413 | + | 3.86174i | 0.194737 | + | 0.132769i | ||||
\(847\) | −3.62510 | + | 1.11819i | −0.124560 | + | 0.0384216i | ||||
\(848\) | −0.241591 | + | 3.22381i | −0.00829627 | + | 0.110706i | ||||
\(849\) | 3.27598 | + | 4.10795i | 0.112431 | + | 0.140984i | ||||
\(850\) | −5.74470 | − | 1.77201i | −0.197042 | − | 0.0607793i | ||||
\(851\) | −14.9289 | + | 38.0381i | −0.511754 | + | 1.30393i | ||||
\(852\) | −10.2661 | + | 44.9788i | −0.351712 | + | 1.54095i | ||||
\(853\) | −14.5554 | − | 25.2107i | −0.498367 | − | 0.863197i | 0.501631 | − | 0.865082i | \(-0.332733\pi\) |
−0.999998 | + | 0.00188451i | \(0.999400\pi\) | |||||||
\(854\) | 1.66323 | − | 2.88080i | 0.0569146 | − | 0.0985789i | ||||
\(855\) | −9.07765 | − | 8.42283i | −0.310449 | − | 0.288055i | ||||
\(856\) | 1.36384 | − | 1.71021i | 0.0466152 | − | 0.0584536i | ||||
\(857\) | 27.8801 | − | 19.0083i | 0.952367 | − | 0.649313i | 0.0158274 | − | 0.999875i | \(-0.494962\pi\) |
0.936540 | + | 0.350562i | \(0.114009\pi\) | |||||||
\(858\) | −73.4964 | + | 35.3940i | −2.50913 | + | 1.20833i | ||||
\(859\) | −26.9358 | −0.919037 | −0.459518 | − | 0.888168i | \(-0.651978\pi\) | ||||
−0.459518 | + | 0.888168i | \(0.651978\pi\) | |||||||
\(860\) | −6.53939 | − | 0.486183i | −0.222991 | − | 0.0165787i | ||||
\(861\) | −11.0721 | −0.377335 | ||||||||
\(862\) | 22.1097 | − | 10.6475i | 0.753059 | − | 0.362654i | ||||
\(863\) | 20.8427 | − | 14.2103i | 0.709494 | − | 0.483725i | −0.154008 | − | 0.988070i | \(-0.549218\pi\) |
0.863502 | + | 0.504345i | \(0.168266\pi\) | |||||||
\(864\) | −5.83031 | + | 7.31098i | −0.198351 | + | 0.248725i | ||||
\(865\) | −8.84210 | − | 8.20427i | −0.300640 | − | 0.278953i | ||||
\(866\) | −11.4860 | + | 19.8943i | −0.390309 | + | 0.676034i | ||||
\(867\) | −28.8713 | − | 50.0066i | −0.980522 | − | 1.69831i | ||||
\(868\) | 1.06748 | − | 4.67695i | 0.0362327 | − | 0.158746i | ||||
\(869\) | −21.9327 | + | 55.8836i | −0.744016 | + | 1.89572i | ||||
\(870\) | 10.3758 | + | 3.20053i | 0.351774 | + | 0.108508i | ||||
\(871\) | −41.4890 | − | 52.0255i | −1.40580 | − | 1.76282i | ||||
\(872\) | −0.173714 | + | 2.31805i | −0.00588270 | + | 0.0784991i | ||||
\(873\) | −5.64539 | + | 1.74137i | −0.191068 | + | 0.0589366i | ||||
\(874\) | 13.8205 | + | 9.42268i | 0.467487 | + | 0.318727i | ||||
\(875\) | 0.743842 | + | 0.112116i | 0.0251465 | + | 0.00379022i | ||||
\(876\) | −8.59610 | − | 37.6620i | −0.290435 | − | 1.27248i | ||||
\(877\) | 14.9489 | − | 13.8705i | 0.504788 | − | 0.468375i | −0.386191 | − | 0.922419i | \(-0.626210\pi\) |
0.890979 | + | 0.454044i | \(0.150019\pi\) | |||||||
\(878\) | 2.27397 | + | 30.3440i | 0.0767428 | + | 1.02406i | ||||
\(879\) | −32.6209 | − | 83.1166i | −1.10027 | − | 2.80345i | ||||
\(880\) | −3.96065 | + | 0.596971i | −0.133513 | + | 0.0201239i | ||||
\(881\) | 0.0528121 | + | 0.0254330i | 0.00177928 | + | 0.000856858i | 0.434773 | − | 0.900540i | \(-0.356829\pi\) |
−0.432994 | + | 0.901397i | \(0.642543\pi\) | |||||||
\(882\) | −35.3607 | − | 17.0288i | −1.19066 | − | 0.573390i | ||||
\(883\) | −6.50064 | + | 0.979813i | −0.218764 | + | 0.0329733i | −0.257510 | − | 0.966276i | \(-0.582902\pi\) |
0.0387457 | + | 0.999249i | \(0.487664\pi\) | |||||||
\(884\) | −14.8285 | − | 37.7824i | −0.498736 | − | 1.27076i | ||||
\(885\) | 2.96423 | + | 39.5550i | 0.0996416 | + | 1.32963i | ||||
\(886\) | −13.4072 | + | 12.4401i | −0.450424 | + | 0.417932i | ||||
\(887\) | 5.37293 | + | 23.5403i | 0.180405 | + | 0.790408i | 0.981437 | + | 0.191785i | \(0.0614277\pi\) |
−0.801032 | + | 0.598622i | \(0.795715\pi\) | |||||||
\(888\) | 14.7933 | + | 2.22974i | 0.496432 | + | 0.0748250i | ||||
\(889\) | 3.96799 | + | 2.70533i | 0.133082 | + | 0.0907339i | ||||
\(890\) | 2.96461 | − | 0.914461i | 0.0993739 | − | 0.0306528i | ||||
\(891\) | 2.96596 | − | 39.5779i | 0.0993632 | − | 1.32591i | ||||
\(892\) | 5.48563 | + | 6.87876i | 0.183672 | + | 0.230318i | ||||
\(893\) | −2.18016 | − | 0.672489i | −0.0729561 | − | 0.0225040i | ||||
\(894\) | −7.01064 | + | 17.8628i | −0.234471 | + | 0.597422i | ||||
\(895\) | 3.42674 | − | 15.0135i | 0.114543 | − | 0.501847i | ||||
\(896\) | −0.376122 | − | 0.651463i | −0.0125654 | − | 0.0217638i | ||||
\(897\) | −83.9043 | + | 145.326i | −2.80148 | + | 4.85231i | ||||
\(898\) | 22.0815 | + | 20.4887i | 0.736870 | + | 0.683715i | ||||
\(899\) | −14.3121 | + | 17.9468i | −0.477335 | + | 0.598559i | ||||
\(900\) | 5.03996 | − | 3.43618i | 0.167999 | − | 0.114539i | ||||
\(901\) | 17.5105 | − | 8.43262i | 0.583360 | − | 0.280931i | ||||
\(902\) | −19.5432 | −0.650717 | ||||||||
\(903\) | 11.6393 | + | 9.27084i | 0.387333 | + | 0.308514i | ||||
\(904\) | −4.07377 | −0.135492 | ||||||||
\(905\) | 3.90787 | − | 1.88193i | 0.129902 | − | 0.0625576i | ||||
\(906\) | −27.6680 | + | 18.8637i | −0.919208 | + | 0.626705i | ||||
\(907\) | −23.4414 | + | 29.3946i | −0.778359 | + | 0.976031i | 0.221641 | + | 0.975128i | \(0.428859\pi\) |
−1.00000 | 0.000902958i | \(0.999713\pi\) | ||||||||
\(908\) | 12.6384 | + | 11.7268i | 0.419422 | + | 0.389166i | ||||
\(909\) | −19.4198 | + | 33.6361i | −0.644114 | + | 1.11564i | ||||
\(910\) | 2.53935 | + | 4.39829i | 0.0841788 | + | 0.145802i | ||||
\(911\) | −6.50888 | + | 28.5173i | −0.215649 | + | 0.944819i | 0.745003 | + | 0.667062i | \(0.232448\pi\) |
−0.960651 | + | 0.277757i | \(0.910409\pi\) | |||||||
\(912\) | 2.23735 | − | 5.70067i | 0.0740860 | − | 0.188768i | ||||
\(913\) | −13.9275 | − | 4.29606i | −0.460932 | − | 0.142179i | ||||
\(914\) | 3.26770 | + | 4.09756i | 0.108086 | + | 0.135535i | ||||
\(915\) | −0.996866 | + | 13.3023i | −0.0329554 | + | 0.439759i | ||||
\(916\) | 5.25472 | − | 1.62087i | 0.173621 | − | 0.0535549i | ||||
\(917\) | 2.81382 | + | 1.91843i | 0.0929207 | + | 0.0633522i | ||||
\(918\) | 55.5890 | + | 8.37869i | 1.83471 | + | 0.276538i | ||||
\(919\) | 0.705115 | + | 3.08931i | 0.0232596 | + | 0.101907i | 0.985225 | − | 0.171263i | \(-0.0547849\pi\) |
−0.961966 | + | 0.273170i | \(0.911928\pi\) | |||||||
\(920\) | −6.03999 | + | 5.60430i | −0.199133 | + | 0.184768i | ||||
\(921\) | 2.34870 | + | 31.3413i | 0.0773924 | + | 1.03273i | ||||
\(922\) | 13.2915 | + | 33.8662i | 0.437733 | + | 1.11533i | ||||
\(923\) | 102.102 | − | 15.3894i | 3.36073 | − | 0.506548i | ||||
\(924\) | 8.18899 | + | 3.94361i | 0.269398 | + | 0.129735i | ||||
\(925\) | −4.46823 | − | 2.15179i | −0.146915 | − | 0.0707504i | ||||
\(926\) | −3.13664 | + | 0.472773i | −0.103076 | + | 0.0155363i | ||||
\(927\) | 12.9351 | + | 32.9582i | 0.424846 | + | 1.08249i | ||||
\(928\) | 0.268991 | + | 3.58943i | 0.00883006 | + | 0.117829i | ||||
\(929\) | −27.7860 | + | 25.7817i | −0.911630 | + | 0.845869i | −0.988508 | − | 0.151172i | \(-0.951695\pi\) |
0.0768778 | + | 0.997041i | \(0.475505\pi\) | |||||||
\(930\) | 4.28075 | + | 18.7552i | 0.140371 | + | 0.615007i | ||||
\(931\) | 12.9160 | + | 1.94678i | 0.423306 | + | 0.0638031i | ||||
\(932\) | −21.6350 | − | 14.7505i | −0.708677 | − | 0.483168i | ||||
\(933\) | 60.4588 | − | 18.6491i | 1.97933 | − | 0.610543i | ||||
\(934\) | 2.54303 | − | 33.9343i | 0.0832103 | − | 1.11036i | ||||
\(935\) | 15.0133 | + | 18.8261i | 0.490989 | + | 0.615680i | ||||
\(936\) | 39.3532 | + | 12.1388i | 1.28630 | + | 0.396770i | ||||
\(937\) | 18.9899 | − | 48.3854i | 0.620372 | − | 1.58068i | −0.181634 | − | 0.983366i | \(-0.558139\pi\) |
0.802006 | − | 0.597316i | \(-0.203766\pi\) | |||||||
\(938\) | −1.64983 | + | 7.22836i | −0.0538688 | + | 0.236014i | ||||
\(939\) | −24.2368 | − | 41.9794i | −0.790939 | − | 1.36995i | ||||
\(940\) | 0.561922 | − | 0.973278i | 0.0183279 | − | 0.0317448i | ||||
\(941\) | 23.3733 | + | 21.6873i | 0.761948 | + | 0.706984i | 0.962075 | − | 0.272786i | \(-0.0879450\pi\) |
−0.200127 | + | 0.979770i | \(0.564135\pi\) | |||||||
\(942\) | −22.8281 | + | 28.6256i | −0.743781 | + | 0.932671i | ||||
\(943\) | −33.2169 | + | 22.6469i | −1.08169 | + | 0.737484i | ||||
\(944\) | −11.8470 | + | 5.70522i | −0.385588 | + | 0.185689i | ||||
\(945\) | −7.03431 | −0.228826 | ||||||||
\(946\) | 20.5445 | + | 16.3639i | 0.667959 | + | 0.532036i | ||||
\(947\) | −6.63876 | −0.215731 | −0.107865 | − | 0.994166i | \(-0.534402\pi\) | ||||
−0.107865 | + | 0.994166i | \(0.534402\pi\) | |||||||
\(948\) | 40.7359 | − | 19.6174i | 1.32304 | − | 0.637142i | ||||
\(949\) | −71.4353 | + | 48.7038i | −2.31889 | + | 1.58099i | ||||
\(950\) | −1.26575 | + | 1.58720i | −0.0410663 | + | 0.0514955i | ||||
\(951\) | 0.434471 | + | 0.403130i | 0.0140887 | + | 0.0130724i | ||||
\(952\) | −2.26117 | + | 3.91646i | −0.0732849 | + | 0.126933i | ||||
\(953\) | 4.42187 | + | 7.65891i | 0.143239 | + | 0.248096i | 0.928714 | − | 0.370796i | \(-0.120915\pi\) |
−0.785476 | + | 0.618892i | \(0.787582\pi\) | |||||||
\(954\) | −4.38811 | + | 19.2256i | −0.142070 | + | 0.622451i | ||||
\(955\) | −5.48989 | + | 13.9880i | −0.177649 | + | 0.452641i | ||||
\(956\) | −14.5553 | − | 4.48970i | −0.470751 | − | 0.145207i | ||||
\(957\) | −27.1165 | − | 34.0030i | −0.876551 | − | 1.09916i | ||||
\(958\) | 0.142799 | − | 1.90553i | 0.00461364 | − | 0.0615648i | ||||
\(959\) | −6.97089 | + | 2.15023i | −0.225102 | + | 0.0694347i | ||||
\(960\) | 2.49243 | + | 1.69931i | 0.0804429 | + | 0.0548450i | ||||
\(961\) | −9.56093 | − | 1.44108i | −0.308417 | − | 0.0464864i | ||||
\(962\) | −7.45061 | − | 32.6432i | −0.240217 | − | 1.05246i | ||||
\(963\) | 9.78118 | − | 9.07561i | 0.315194 | − | 0.292457i | ||||
\(964\) | −0.600396 | − | 8.01172i | −0.0193374 | − | 0.258040i | ||||
\(965\) | −0.660081 | − | 1.68186i | −0.0212488 | − | 0.0541410i | ||||
\(966\) | 18.4884 | − | 2.78668i | 0.594856 | − | 0.0896601i | ||||
\(967\) | −41.7992 | − | 20.1294i | −1.34417 | − | 0.647319i | −0.383122 | − | 0.923698i | \(-0.625151\pi\) |
−0.961049 | + | 0.276379i | \(0.910865\pi\) | |||||||
\(968\) | 4.54367 | + | 2.18812i | 0.146039 | + | 0.0703288i | ||||
\(969\) | −36.4050 | + | 5.48717i | −1.16950 | + | 0.176273i | ||||
\(970\) | 0.353841 | + | 0.901571i | 0.0113611 | + | 0.0289477i | ||||
\(971\) | −1.66601 | − | 22.2314i | −0.0534648 | − | 0.713438i | −0.957950 | − | 0.286934i | \(-0.907364\pi\) |
0.904486 | − | 0.426504i | \(-0.140255\pi\) | |||||||
\(972\) | −1.34725 | + | 1.25007i | −0.0432131 | + | 0.0400959i | ||||
\(973\) | −0.0819626 | − | 0.359102i | −0.00262760 | − | 0.0115123i | ||||
\(974\) | −12.1263 | − | 1.82775i | −0.388552 | − | 0.0585648i | ||||
\(975\) | −16.8274 | − | 11.4728i | −0.538909 | − | 0.367422i | ||||
\(976\) | −4.22559 | + | 1.30342i | −0.135258 | + | 0.0417215i | ||||
\(977\) | −1.50621 | + | 20.0989i | −0.0481878 | + | 0.643022i | 0.919858 | + | 0.392250i | \(0.128303\pi\) |
−0.968046 | + | 0.250772i | \(0.919316\pi\) | |||||||
\(978\) | 9.68030 | + | 12.1387i | 0.309542 | + | 0.388153i | ||||
\(979\) | −11.8744 | − | 3.66277i | −0.379507 | − | 0.117062i | ||||
\(980\) | −2.35065 | + | 5.98936i | −0.0750888 | + | 0.191323i | ||||
\(981\) | −3.15523 | + | 13.8240i | −0.100739 | + | 0.441366i | ||||
\(982\) | 8.28054 | + | 14.3423i | 0.264243 | + | 0.457681i | ||||
\(983\) | 11.4415 | − | 19.8172i | 0.364926 | − | 0.632070i | −0.623839 | − | 0.781553i | \(-0.714428\pi\) |
0.988764 | + | 0.149483i | \(0.0477611\pi\) | |||||||
\(984\) | 10.7896 | + | 10.0113i | 0.343959 | + | 0.319147i | ||||
\(985\) | 6.81537 | − | 8.54620i | 0.217156 | − | 0.272305i | ||||
\(986\) | 17.8793 | − | 12.1899i | 0.569394 | − | 0.388206i | ||||
\(987\) | −2.29770 | + | 1.10651i | −0.0731365 | + | 0.0352207i | ||||
\(988\) | −13.7060 | −0.436047 | ||||||||
\(989\) | 53.8814 | + | 4.00591i | 1.71333 | + | 0.127381i | ||||
\(990\) | −24.4324 | −0.776511 | ||||||||
\(991\) | 49.2865 | − | 23.7351i | 1.56564 | − | 0.753972i | 0.568024 | − | 0.823012i | \(-0.307708\pi\) |
0.997614 | + | 0.0690404i | \(0.0219937\pi\) | |||||||
\(992\) | −5.26911 | + | 3.59242i | −0.167294 | + | 0.114059i | ||||
\(993\) | 22.5900 | − | 28.3270i | 0.716872 | − | 0.898929i | ||||
\(994\) | −8.43357 | − | 7.82521i | −0.267496 | − | 0.248200i | ||||
\(995\) | −8.06995 | + | 13.9776i | −0.255835 | + | 0.443118i | ||||
\(996\) | 5.48848 | + | 9.50633i | 0.173909 | + | 0.301220i | ||||
\(997\) | −2.14958 | + | 9.41793i | −0.0680779 | + | 0.298269i | −0.997493 | − | 0.0707676i | \(-0.977455\pi\) |
0.929415 | + | 0.369037i | \(0.120312\pi\) | |||||||
\(998\) | 8.41680 | − | 21.4457i | 0.266429 | − | 0.678851i | ||||
\(999\) | 44.3152 | + | 13.6694i | 1.40207 | + | 0.432481i |
(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 | 430.2.q.c.31.4 | ✓ | 48 | |
43.25 | even | 21 | inner | 430.2.q.c.111.4 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.q.c.31.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
430.2.q.c.111.4 | yes | 48 | 43.25 | even | 21 | inner |