Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(2,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bv (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.19 | ||
Character | \(\chi\) | \(=\) | 273.2 |
Dual form | 273.2.bv.b.137.19 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.397102 | + | 0.397102i | 0.280794 | + | 0.280794i | 0.833425 | − | 0.552632i | \(-0.186376\pi\) |
−0.552632 | + | 0.833425i | \(0.686376\pi\) | |||||||
\(3\) | −0.160369 | − | 1.72461i | −0.0925893 | − | 0.995704i | ||||
\(4\) | − | 1.68462i | − | 0.842310i | ||||||
\(5\) | 3.29155 | − | 0.881968i | 1.47203 | − | 0.394428i | 0.568400 | − | 0.822752i | \(-0.307563\pi\) |
0.903625 | + | 0.428324i | \(0.140896\pi\) | |||||||
\(6\) | 0.621163 | − | 0.748529i | 0.253589 | − | 0.305586i | ||||
\(7\) | −2.64283 | + | 0.124223i | −0.998897 | + | 0.0469520i | ||||
\(8\) | 1.46317 | − | 1.46317i | 0.517309 | − | 0.517309i | ||||
\(9\) | −2.94856 | + | 0.553150i | −0.982854 | + | 0.184383i | ||||
\(10\) | 1.65731 | + | 0.956850i | 0.524088 | + | 0.302582i | ||||
\(11\) | 1.17323 | + | 4.37855i | 0.353742 | + | 1.32018i | 0.882060 | + | 0.471137i | \(0.156156\pi\) |
−0.528318 | + | 0.849047i | \(0.677177\pi\) | |||||||
\(12\) | −2.90531 | + | 0.270162i | −0.838692 | + | 0.0779889i | ||||
\(13\) | −1.88678 | − | 3.07247i | −0.523299 | − | 0.852149i | ||||
\(14\) | −1.09880 | − | 1.00015i | −0.293668 | − | 0.267300i | ||||
\(15\) | −2.04891 | − | 5.53520i | −0.529028 | − | 1.42918i | ||||
\(16\) | −2.20718 | −0.551796 | ||||||||
\(17\) | −2.97397 | −0.721294 | −0.360647 | − | 0.932702i | \(-0.617444\pi\) | ||||
−0.360647 | + | 0.932702i | \(0.617444\pi\) | |||||||
\(18\) | −1.39054 | − | 0.951224i | −0.327753 | − | 0.224206i | ||||
\(19\) | 6.44064 | + | 1.72576i | 1.47758 | + | 0.395917i | 0.905524 | − | 0.424295i | \(-0.139478\pi\) |
0.572059 | + | 0.820212i | \(0.306145\pi\) | |||||||
\(20\) | −1.48578 | − | 5.54501i | −0.332231 | − | 1.23990i | ||||
\(21\) | 0.638066 | + | 4.53794i | 0.139237 | + | 0.990259i | ||||
\(22\) | −1.27284 | + | 2.20463i | −0.271371 | + | 0.470028i | ||||
\(23\) | 3.72097 | 0.775876 | 0.387938 | − | 0.921685i | \(-0.373187\pi\) | ||||
0.387938 | + | 0.921685i | \(0.373187\pi\) | |||||||
\(24\) | −2.75805 | − | 2.28875i | −0.562984 | − | 0.467189i | ||||
\(25\) | 5.72630 | − | 3.30608i | 1.14526 | − | 0.661216i | ||||
\(26\) | 0.470839 | − | 1.96933i | 0.0923392 | − | 0.386217i | ||||
\(27\) | 1.42683 | + | 4.99642i | 0.274593 | + | 0.961561i | ||||
\(28\) | 0.209269 | + | 4.45217i | 0.0395481 | + | 0.841381i | ||||
\(29\) | 0.0674871 | − | 0.0389637i | 0.0125320 | − | 0.00723538i | −0.493721 | − | 0.869620i | \(-0.664364\pi\) |
0.506253 | + | 0.862385i | \(0.331030\pi\) | |||||||
\(30\) | 1.38441 | − | 3.01167i | 0.252758 | − | 0.549853i | ||||
\(31\) | 6.13896 | + | 1.64493i | 1.10259 | + | 0.295438i | 0.763819 | − | 0.645431i | \(-0.223322\pi\) |
0.338771 | + | 0.940869i | \(0.389989\pi\) | |||||||
\(32\) | −3.80282 | − | 3.80282i | −0.672250 | − | 0.672250i | ||||
\(33\) | 7.36315 | − | 2.72555i | 1.28176 | − | 0.474458i | ||||
\(34\) | −1.18097 | − | 1.18097i | −0.202535 | − | 0.202535i | ||||
\(35\) | −8.58945 | + | 2.73978i | −1.45188 | + | 0.463108i | ||||
\(36\) | 0.931847 | + | 4.96721i | 0.155308 | + | 0.827868i | ||||
\(37\) | −1.05987 | − | 1.05987i | −0.174241 | − | 0.174241i | 0.614599 | − | 0.788840i | \(-0.289318\pi\) |
−0.788840 | + | 0.614599i | \(0.789318\pi\) | |||||||
\(38\) | 1.87229 | + | 3.24289i | 0.303725 | + | 0.526067i | ||||
\(39\) | −4.99623 | + | 3.74669i | −0.800037 | + | 0.599951i | ||||
\(40\) | 3.52563 | − | 6.10657i | 0.557451 | − | 0.965533i | ||||
\(41\) | 0.861677 | − | 3.21582i | 0.134571 | − | 0.502227i | −0.865428 | − | 0.501033i | \(-0.832953\pi\) |
0.999999 | − | 0.00119364i | \(-0.000379946\pi\) | |||||||
\(42\) | −1.54865 | + | 2.05540i | −0.238961 | + | 0.317155i | ||||
\(43\) | −4.85881 | − | 2.80523i | −0.740961 | − | 0.427794i | 0.0814574 | − | 0.996677i | \(-0.474043\pi\) |
−0.822419 | + | 0.568883i | \(0.807376\pi\) | |||||||
\(44\) | 7.37620 | − | 1.97645i | 1.11200 | − | 0.297961i | ||||
\(45\) | −9.21748 | + | 4.42126i | −1.37406 | + | 0.659082i | ||||
\(46\) | 1.47761 | + | 1.47761i | 0.217861 | + | 0.217861i | ||||
\(47\) | 2.87335 | + | 10.7235i | 0.419121 | + | 1.56418i | 0.776436 | + | 0.630196i | \(0.217026\pi\) |
−0.357315 | + | 0.933984i | \(0.616308\pi\) | |||||||
\(48\) | 0.353965 | + | 3.80653i | 0.0510904 | + | 0.549426i | ||||
\(49\) | 6.96914 | − | 0.656602i | 0.995591 | − | 0.0938003i | ||||
\(50\) | 3.58678 | + | 0.961074i | 0.507247 | + | 0.135916i | ||||
\(51\) | 0.476934 | + | 5.12894i | 0.0667841 | + | 0.718195i | ||||
\(52\) | −5.17594 | + | 3.17851i | −0.717774 | + | 0.440780i | ||||
\(53\) | −2.45164 | + | 1.41545i | −0.336758 | + | 0.194428i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
0.322079 | + | 0.946713i | \(0.395618\pi\) | |||||||
\(54\) | −1.41749 | + | 2.55068i | −0.192896 | + | 0.347104i | ||||
\(55\) | 7.72349 | + | 13.3775i | 1.04144 | + | 1.80382i | ||||
\(56\) | −3.68516 | + | 4.04867i | −0.492450 | + | 0.541027i | ||||
\(57\) | 1.94339 | − | 11.3843i | 0.257408 | − | 1.50789i | ||||
\(58\) | 0.0422718 | + | 0.0113267i | 0.00555056 | + | 0.00148727i | ||||
\(59\) | −1.11593 | + | 1.11593i | −0.145282 | + | 0.145282i | −0.776007 | − | 0.630725i | \(-0.782758\pi\) |
0.630725 | + | 0.776007i | \(0.282758\pi\) | |||||||
\(60\) | −9.32471 | + | 3.45164i | −1.20381 | + | 0.445605i | ||||
\(61\) | 2.93034 | + | 5.07550i | 0.375192 | + | 0.649852i | 0.990356 | − | 0.138548i | \(-0.0442435\pi\) |
−0.615164 | + | 0.788399i | \(0.710910\pi\) | |||||||
\(62\) | 1.78459 | + | 3.09100i | 0.226643 | + | 0.392557i | ||||
\(63\) | 7.72385 | − | 1.82816i | 0.973113 | − | 0.230327i | ||||
\(64\) | 1.39415i | 0.174269i | ||||||||
\(65\) | −8.92025 | − | 8.44910i | −1.10642 | − | 1.04798i | ||||
\(66\) | 4.00625 | + | 1.84160i | 0.493135 | + | 0.226685i | ||||
\(67\) | −1.75293 | − | 6.54202i | −0.214154 | − | 0.799235i | −0.986462 | − | 0.163987i | \(-0.947564\pi\) |
0.772308 | − | 0.635248i | \(-0.219102\pi\) | |||||||
\(68\) | 5.01001i | 0.607553i | ||||||||
\(69\) | −0.596730 | − | 6.41723i | −0.0718379 | − | 0.772543i | ||||
\(70\) | −4.49886 | − | 2.32292i | −0.537717 | − | 0.277642i | ||||
\(71\) | −12.1333 | + | 3.25110i | −1.43995 | + | 0.385835i | −0.892518 | − | 0.451013i | \(-0.851063\pi\) |
−0.547437 | + | 0.836847i | \(0.684396\pi\) | |||||||
\(72\) | −3.50490 | + | 5.12360i | −0.413056 | + | 0.603822i | ||||
\(73\) | 0.803695 | − | 2.99943i | 0.0940654 | − | 0.351057i | −0.902811 | − | 0.430038i | \(-0.858500\pi\) |
0.996876 | + | 0.0789814i | \(0.0251668\pi\) | |||||||
\(74\) | − | 0.841749i | − | 0.0978514i | ||||||
\(75\) | −6.62003 | − | 9.34544i | −0.764415 | − | 1.07912i | ||||
\(76\) | 2.90725 | − | 10.8500i | 0.333485 | − | 1.24458i | ||||
\(77\) | −3.64457 | − | 11.4260i | −0.415337 | − | 1.30212i | ||||
\(78\) | −3.47183 | − | 0.496195i | −0.393108 | − | 0.0561830i | ||||
\(79\) | −5.07964 | + | 8.79819i | −0.571504 | + | 0.989874i | 0.424908 | + | 0.905237i | \(0.360307\pi\) |
−0.996412 | + | 0.0846374i | \(0.973027\pi\) | |||||||
\(80\) | −7.26505 | + | 1.94667i | −0.812258 | + | 0.217644i | ||||
\(81\) | 8.38805 | − | 3.26199i | 0.932006 | − | 0.362444i | ||||
\(82\) | 1.61918 | − | 0.934836i | 0.178809 | − | 0.103235i | ||||
\(83\) | 5.49809 | + | 5.49809i | 0.603494 | + | 0.603494i | 0.941238 | − | 0.337744i | \(-0.109664\pi\) |
−0.337744 | + | 0.941238i | \(0.609664\pi\) | |||||||
\(84\) | 7.64470 | − | 1.07490i | 0.834105 | − | 0.117281i | ||||
\(85\) | −9.78897 | + | 2.62295i | −1.06176 | + | 0.284499i | ||||
\(86\) | −0.815478 | − | 3.04341i | −0.0879353 | − | 0.328179i | ||||
\(87\) | −0.0780201 | − | 0.110140i | −0.00836463 | − | 0.0118083i | ||||
\(88\) | 8.12321 | + | 4.68994i | 0.865937 | + | 0.499949i | ||||
\(89\) | 5.27498 | − | 5.27498i | 0.559147 | − | 0.559147i | −0.369918 | − | 0.929065i | \(-0.620614\pi\) |
0.929065 | + | 0.369918i | \(0.120614\pi\) | |||||||
\(90\) | −5.41597 | − | 1.90459i | −0.570893 | − | 0.200761i | ||||
\(91\) | 5.36812 | + | 7.88564i | 0.562732 | + | 0.826640i | ||||
\(92\) | − | 6.26842i | − | 0.653528i | ||||||
\(93\) | 1.85236 | − | 10.8511i | 0.192081 | − | 1.12521i | ||||
\(94\) | −3.11730 | + | 5.39933i | −0.321525 | + | 0.556898i | ||||
\(95\) | 22.7217 | 2.33120 | ||||||||
\(96\) | −5.94852 | + | 7.16824i | −0.607119 | + | 0.731605i | ||||
\(97\) | 1.54966 | + | 5.78341i | 0.157344 | + | 0.587216i | 0.998893 | + | 0.0470356i | \(0.0149774\pi\) |
−0.841549 | + | 0.540181i | \(0.818356\pi\) | |||||||
\(98\) | 3.02820 | + | 2.50672i | 0.305894 | + | 0.253217i | ||||
\(99\) | −5.88134 | − | 12.2615i | −0.591097 | − | 1.23232i | ||||
\(100\) | −5.56949 | − | 9.64664i | −0.556949 | − | 0.964664i | ||||
\(101\) | −3.83092 | + | 6.63535i | −0.381191 | + | 0.660242i | −0.991233 | − | 0.132127i | \(-0.957819\pi\) |
0.610042 | + | 0.792369i | \(0.291153\pi\) | |||||||
\(102\) | −1.84732 | + | 2.22610i | −0.182912 | + | 0.220417i | ||||
\(103\) | 4.87851 | + | 2.81661i | 0.480694 | + | 0.277529i | 0.720706 | − | 0.693241i | \(-0.243818\pi\) |
−0.240012 | + | 0.970770i | \(0.577151\pi\) | |||||||
\(104\) | −7.25622 | − | 1.73486i | −0.711531 | − | 0.170117i | ||||
\(105\) | 6.10254 | + | 14.3741i | 0.595547 | + | 1.40277i | ||||
\(106\) | −1.53563 | − | 0.411471i | −0.149154 | − | 0.0399656i | ||||
\(107\) | − | 2.41600i | − | 0.233563i | −0.993158 | − | 0.116782i | \(-0.962742\pi\) | ||
0.993158 | − | 0.116782i | \(-0.0372577\pi\) | |||||||
\(108\) | 8.41706 | − | 2.40366i | 0.809932 | − | 0.231292i | ||||
\(109\) | −13.6211 | − | 3.64976i | −1.30466 | − | 0.349583i | −0.461451 | − | 0.887166i | \(-0.652671\pi\) |
−0.843211 | + | 0.537582i | \(0.819338\pi\) | |||||||
\(110\) | −2.24521 | + | 8.37924i | −0.214072 | + | 0.798929i | ||||
\(111\) | −1.65788 | + | 1.99782i | −0.157359 | + | 0.189625i | ||||
\(112\) | 5.83322 | − | 0.274183i | 0.551187 | − | 0.0259079i | ||||
\(113\) | 3.89443 | + | 2.24845i | 0.366357 | + | 0.211517i | 0.671866 | − | 0.740673i | \(-0.265493\pi\) |
−0.305508 | + | 0.952189i | \(0.598826\pi\) | |||||||
\(114\) | 5.29247 | − | 3.74902i | 0.495685 | − | 0.351128i | ||||
\(115\) | 12.2478 | − | 3.28178i | 1.14211 | − | 0.306027i | ||||
\(116\) | −0.0656390 | − | 0.113690i | −0.00609443 | − | 0.0105559i | ||||
\(117\) | 7.26282 | + | 8.01570i | 0.671448 | + | 0.741051i | ||||
\(118\) | −0.886278 | −0.0815885 | ||||||||
\(119\) | 7.85971 | − | 0.369436i | 0.720498 | − | 0.0338662i | ||||
\(120\) | −11.0969 | − | 5.10103i | −1.01300 | − | 0.465658i | ||||
\(121\) | −8.26899 | + | 4.77411i | −0.751727 | + | 0.434010i | ||||
\(122\) | −0.851847 | + | 3.17914i | −0.0771226 | + | 0.287826i | ||||
\(123\) | −5.68423 | − | 0.970338i | −0.512529 | − | 0.0874924i | ||||
\(124\) | 2.77108 | − | 10.3418i | 0.248850 | − | 0.928722i | ||||
\(125\) | 3.88464 | − | 3.88464i | 0.347452 | − | 0.347452i | ||||
\(126\) | 3.79312 | + | 2.34119i | 0.337918 | + | 0.208570i | ||||
\(127\) | 3.39968 | − | 1.96281i | 0.301673 | − | 0.174171i | −0.341521 | − | 0.939874i | \(-0.610942\pi\) |
0.643194 | + | 0.765703i | \(0.277609\pi\) | |||||||
\(128\) | −8.15926 | + | 8.15926i | −0.721183 | + | 0.721183i | ||||
\(129\) | −4.05873 | + | 8.82943i | −0.357351 | + | 0.777388i | ||||
\(130\) | −0.187093 | − | 6.89740i | −0.0164091 | − | 0.604942i | ||||
\(131\) | −9.63155 | − | 5.56078i | −0.841512 | − | 0.485847i | 0.0162657 | − | 0.999868i | \(-0.494822\pi\) |
−0.857778 | + | 0.514020i | \(0.828156\pi\) | |||||||
\(132\) | −4.59152 | − | 12.4041i | −0.399640 | − | 1.07964i | ||||
\(133\) | −17.2359 | − | 3.76083i | −1.49454 | − | 0.326105i | ||||
\(134\) | 1.90176 | − | 3.29394i | 0.164287 | − | 0.284553i | ||||
\(135\) | 9.10315 | + | 15.1875i | 0.783474 | + | 1.30713i | ||||
\(136\) | −4.35143 | + | 4.35143i | −0.373132 | + | 0.373132i | ||||
\(137\) | 6.21082 | − | 6.21082i | 0.530626 | − | 0.530626i | −0.390132 | − | 0.920759i | \(-0.627571\pi\) |
0.920759 | + | 0.390132i | \(0.127571\pi\) | |||||||
\(138\) | 2.31133 | − | 2.78526i | 0.196754 | − | 0.237097i | ||||
\(139\) | −0.542340 | + | 0.939360i | −0.0460007 | + | 0.0796755i | −0.888109 | − | 0.459633i | \(-0.847981\pi\) |
0.842108 | + | 0.539308i | \(0.181314\pi\) | |||||||
\(140\) | 4.61549 | + | 14.4700i | 0.390080 | + | 1.22294i | ||||
\(141\) | 18.0330 | − | 6.67512i | 1.51865 | − | 0.562147i | ||||
\(142\) | −6.10916 | − | 3.52713i | −0.512670 | − | 0.295990i | ||||
\(143\) | 11.2393 | − | 11.8661i | 0.939881 | − | 0.992292i | ||||
\(144\) | 6.50802 | − | 1.22090i | 0.542335 | − | 0.101742i | ||||
\(145\) | 0.187772 | − | 0.187772i | 0.0155936 | − | 0.0155936i | ||||
\(146\) | 1.51023 | − | 0.871931i | 0.124987 | − | 0.0721615i | ||||
\(147\) | −2.25002 | − | 11.9137i | −0.185579 | − | 0.982629i | ||||
\(148\) | −1.78547 | + | 1.78547i | −0.146765 | + | 0.146765i | ||||
\(149\) | −2.11277 | + | 7.88496i | −0.173085 | + | 0.645961i | 0.823785 | + | 0.566902i | \(0.191858\pi\) |
−0.996870 | + | 0.0790591i | \(0.974808\pi\) | |||||||
\(150\) | 1.08227 | − | 6.33992i | 0.0883669 | − | 0.517652i | ||||
\(151\) | 4.16672 | − | 15.5504i | 0.339083 | − | 1.26547i | −0.560292 | − | 0.828295i | \(-0.689311\pi\) |
0.899375 | − | 0.437179i | \(-0.144022\pi\) | |||||||
\(152\) | 11.9488 | − | 6.89866i | 0.969178 | − | 0.559555i | ||||
\(153\) | 8.76894 | − | 1.64505i | 0.708927 | − | 0.132994i | ||||
\(154\) | 3.09004 | − | 5.98457i | 0.249003 | − | 0.482251i | ||||
\(155\) | 21.6575 | 1.73957 | ||||||||
\(156\) | 6.31175 | + | 8.41675i | 0.505344 | + | 0.673879i | ||||
\(157\) | −4.64883 | − | 8.05201i | −0.371017 | − | 0.642620i | 0.618705 | − | 0.785623i | \(-0.287658\pi\) |
−0.989722 | + | 0.143003i | \(0.954324\pi\) | |||||||
\(158\) | −5.51092 | + | 1.47665i | −0.438425 | + | 0.117476i | ||||
\(159\) | 2.83428 | + | 4.00113i | 0.224773 | + | 0.317310i | ||||
\(160\) | −15.8711 | − | 9.16320i | −1.25472 | − | 0.724414i | ||||
\(161\) | −9.83391 | + | 0.462231i | −0.775021 | + | 0.0364289i | ||||
\(162\) | 4.62626 | + | 2.03557i | 0.363473 | + | 0.159929i | ||||
\(163\) | −1.62077 | + | 6.04881i | −0.126949 | + | 0.473779i | −0.999902 | − | 0.0140252i | \(-0.995535\pi\) |
0.872953 | + | 0.487805i | \(0.162202\pi\) | |||||||
\(164\) | −5.41744 | − | 1.45160i | −0.423031 | − | 0.113351i | ||||
\(165\) | 21.8323 | − | 15.4654i | 1.69964 | − | 1.20398i | ||||
\(166\) | 4.36661i | 0.338914i | ||||||||
\(167\) | −23.7884 | − | 6.37407i | −1.84080 | − | 0.493240i | −0.841877 | − | 0.539670i | \(-0.818549\pi\) |
−0.998922 | + | 0.0464293i | \(0.985216\pi\) | |||||||
\(168\) | 7.57337 | + | 5.70617i | 0.584298 | + | 0.440241i | ||||
\(169\) | −5.88012 | + | 11.5941i | −0.452317 | + | 0.891857i | ||||
\(170\) | −4.92880 | − | 2.84564i | −0.378022 | − | 0.218251i | ||||
\(171\) | −19.9452 | − | 1.52589i | −1.52525 | − | 0.116687i | ||||
\(172\) | −4.72575 | + | 8.18524i | −0.360335 | + | 0.624119i | ||||
\(173\) | −5.75244 | − | 9.96352i | −0.437350 | − | 0.757512i | 0.560134 | − | 0.828402i | \(-0.310750\pi\) |
−0.997484 | + | 0.0708895i | \(0.977416\pi\) | |||||||
\(174\) | 0.0127550 | − | 0.0747189i | 0.000966957 | − | 0.00566443i | ||||
\(175\) | −14.7230 | + | 9.44876i | −1.11295 | + | 0.714259i | ||||
\(176\) | −2.58953 | − | 9.66428i | −0.195194 | − | 0.728472i | ||||
\(177\) | 2.10351 | + | 1.74559i | 0.158109 | + | 0.131206i | ||||
\(178\) | 4.18941 | 0.314010 | ||||||||
\(179\) | −4.67043 | + | 8.08942i | −0.349084 | + | 0.604632i | −0.986087 | − | 0.166230i | \(-0.946841\pi\) |
0.637003 | + | 0.770862i | \(0.280174\pi\) | |||||||
\(180\) | 7.44814 | + | 15.5280i | 0.555151 | + | 1.15739i | ||||
\(181\) | − | 14.9370i | − | 1.11026i | −0.831764 | − | 0.555129i | \(-0.812669\pi\) | ||
0.831764 | − | 0.555129i | \(-0.187331\pi\) | |||||||
\(182\) | −0.999714 | + | 5.26309i | −0.0741037 | + | 0.390127i | ||||
\(183\) | 8.28333 | − | 5.86766i | 0.612321 | − | 0.433750i | ||||
\(184\) | 5.44442 | − | 5.44442i | 0.401368 | − | 0.401368i | ||||
\(185\) | −4.42337 | − | 2.55383i | −0.325212 | − | 0.187761i | ||||
\(186\) | 5.04458 | − | 3.57342i | 0.369886 | − | 0.262016i | ||||
\(187\) | −3.48915 | − | 13.0217i | −0.255152 | − | 0.952241i | ||||
\(188\) | 18.0650 | − | 4.84050i | 1.31752 | − | 0.353030i | ||||
\(189\) | −4.39154 | − | 13.0274i | −0.319437 | − | 0.947607i | ||||
\(190\) | 9.02285 | + | 9.02285i | 0.654586 | + | 0.654586i | ||||
\(191\) | 3.46331 | − | 1.99954i | 0.250596 | − | 0.144682i | −0.369441 | − | 0.929254i | \(-0.620451\pi\) |
0.620037 | + | 0.784572i | \(0.287117\pi\) | |||||||
\(192\) | 2.40437 | − | 0.223580i | 0.173521 | − | 0.0161355i | ||||
\(193\) | −15.6641 | + | 4.19719i | −1.12753 | + | 0.302120i | −0.773926 | − | 0.633276i | \(-0.781710\pi\) |
−0.353602 | + | 0.935396i | \(0.615043\pi\) | |||||||
\(194\) | −1.68123 | + | 2.91198i | −0.120705 | + | 0.209068i | ||||
\(195\) | −13.1409 | + | 16.7389i | −0.941038 | + | 1.19870i | ||||
\(196\) | −1.10613 | − | 11.7403i | −0.0790090 | − | 0.838596i | ||||
\(197\) | −0.792333 | + | 2.95703i | −0.0564514 | + | 0.210679i | −0.988390 | − | 0.151936i | \(-0.951449\pi\) |
0.931939 | + | 0.362615i | \(0.118116\pi\) | |||||||
\(198\) | 2.53356 | − | 7.20455i | 0.180053 | − | 0.512005i | ||||
\(199\) | 8.54936i | 0.606048i | 0.952983 | + | 0.303024i | \(0.0979963\pi\) | ||||
−0.952983 | + | 0.303024i | \(0.902004\pi\) | |||||||
\(200\) | 3.54119 | − | 13.2159i | 0.250400 | − | 0.934506i | ||||
\(201\) | −11.0013 | + | 4.07226i | −0.775974 | + | 0.287235i | ||||
\(202\) | −4.15618 | + | 1.11364i | −0.292428 | + | 0.0783558i | ||||
\(203\) | −0.173517 | + | 0.111358i | −0.0121785 | + | 0.00781580i | ||||
\(204\) | 8.64032 | − | 0.803452i | 0.604943 | − | 0.0562529i | ||||
\(205\) | − | 11.3450i | − | 0.792370i | ||||||
\(206\) | 0.818785 | + | 3.05575i | 0.0570474 | + | 0.212904i | ||||
\(207\) | −10.9715 | + | 2.05825i | −0.762573 | + | 0.143059i | ||||
\(208\) | 4.16447 | + | 6.78150i | 0.288754 | + | 0.470213i | ||||
\(209\) | 30.2254i | 2.09073i | ||||||||
\(210\) | −3.28465 | + | 8.13131i | −0.226662 | + | 0.561114i | ||||
\(211\) | 6.42430 | + | 11.1272i | 0.442267 | + | 0.766029i | 0.997857 | − | 0.0654271i | \(-0.0208410\pi\) |
−0.555590 | + | 0.831456i | \(0.687508\pi\) | |||||||
\(212\) | 2.38450 | + | 4.13008i | 0.163768 | + | 0.283655i | ||||
\(213\) | 7.55269 | + | 20.4038i | 0.517502 | + | 1.39804i | ||||
\(214\) | 0.959397 | − | 0.959397i | 0.0655830 | − | 0.0655830i | ||||
\(215\) | −18.4671 | − | 4.94825i | −1.25945 | − | 0.337468i | ||||
\(216\) | 9.39830 | + | 5.22292i | 0.639473 | + | 0.355374i | ||||
\(217\) | −16.4286 | − | 3.58467i | −1.11525 | − | 0.243344i | ||||
\(218\) | −3.95963 | − | 6.85828i | −0.268180 | − | 0.464502i | ||||
\(219\) | −5.30174 | − | 0.905044i | −0.358258 | − | 0.0611572i | ||||
\(220\) | 22.5360 | − | 13.0111i | 1.51937 | − | 0.877211i | ||||
\(221\) | 5.61123 | + | 9.13743i | 0.377452 | + | 0.614650i | ||||
\(222\) | −1.45169 | + | 0.134991i | −0.0974311 | + | 0.00905999i | ||||
\(223\) | −11.4905 | − | 3.07886i | −0.769458 | − | 0.206176i | −0.147326 | − | 0.989088i | \(-0.547067\pi\) |
−0.622132 | + | 0.782912i | \(0.713733\pi\) | |||||||
\(224\) | 10.5226 | + | 9.57782i | 0.703072 | + | 0.639945i | ||||
\(225\) | −15.0556 | + | 12.9157i | −1.00371 | + | 0.861046i | ||||
\(226\) | 0.653623 | + | 2.43935i | 0.0434783 | + | 0.162263i | ||||
\(227\) | −17.6200 | − | 17.6200i | −1.16948 | − | 1.16948i | −0.982332 | − | 0.187146i | \(-0.940076\pi\) |
−0.187146 | − | 0.982332i | \(-0.559924\pi\) | |||||||
\(228\) | −19.1783 | − | 3.27387i | −1.27011 | − | 0.216817i | ||||
\(229\) | −0.758454 | + | 0.203227i | −0.0501200 | + | 0.0134296i | −0.283792 | − | 0.958886i | \(-0.591593\pi\) |
0.233672 | + | 0.972316i | \(0.424926\pi\) | |||||||
\(230\) | 6.16681 | + | 3.56041i | 0.406628 | + | 0.234767i | ||||
\(231\) | −19.1210 | + | 8.11785i | −1.25807 | + | 0.534116i | ||||
\(232\) | 0.0417346 | − | 0.155756i | 0.00274001 | − | 0.0102259i | ||||
\(233\) | 0.106730 | − | 0.184861i | 0.00699209 | − | 0.0121107i | −0.862508 | − | 0.506043i | \(-0.831108\pi\) |
0.869500 | + | 0.493932i | \(0.164441\pi\) | |||||||
\(234\) | −0.298967 | + | 6.06713i | −0.0195441 | + | 0.396621i | ||||
\(235\) | 18.9155 | + | 32.7627i | 1.23391 | + | 2.13720i | ||||
\(236\) | 1.87992 | + | 1.87992i | 0.122372 | + | 0.122372i | ||||
\(237\) | 15.9881 | + | 7.34944i | 1.03854 | + | 0.477397i | ||||
\(238\) | 3.26781 | + | 2.97440i | 0.211821 | + | 0.192802i | ||||
\(239\) | 0.442912 | + | 0.442912i | 0.0286496 | + | 0.0286496i | 0.721286 | − | 0.692637i | \(-0.243551\pi\) |
−0.692637 | + | 0.721286i | \(0.743551\pi\) | |||||||
\(240\) | 4.52233 | + | 12.2172i | 0.291915 | + | 0.788617i | ||||
\(241\) | 5.78592 | + | 5.78592i | 0.372704 | + | 0.372704i | 0.868461 | − | 0.495757i | \(-0.165109\pi\) |
−0.495757 | + | 0.868461i | \(0.665109\pi\) | |||||||
\(242\) | −5.17944 | − | 1.38783i | −0.332947 | − | 0.0892129i | ||||
\(243\) | −6.97085 | − | 13.9430i | −0.447181 | − | 0.894444i | ||||
\(244\) | 8.55029 | − | 4.93651i | 0.547376 | − | 0.316028i | ||||
\(245\) | 22.3602 | − | 8.30779i | 1.42854 | − | 0.530766i | ||||
\(246\) | −1.87190 | − | 2.64254i | −0.119348 | − | 0.168482i | ||||
\(247\) | −6.84971 | − | 23.0448i | −0.435836 | − | 1.46630i | ||||
\(248\) | 11.3892 | − | 6.57553i | 0.723212 | − | 0.417547i | ||||
\(249\) | 8.60034 | − | 10.3638i | 0.545024 | − | 0.656779i | ||||
\(250\) | 3.08519 | 0.195125 | ||||||||
\(251\) | 4.77301 | − | 8.26709i | 0.301270 | − | 0.521814i | −0.675154 | − | 0.737677i | \(-0.735923\pi\) |
0.976424 | + | 0.215862i | \(0.0692563\pi\) | |||||||
\(252\) | −3.07976 | − | 13.0117i | −0.194007 | − | 0.819663i | ||||
\(253\) | 4.36556 | + | 16.2925i | 0.274460 | + | 1.02430i | ||||
\(254\) | 2.12946 | + | 0.570586i | 0.133614 | + | 0.0358018i | ||||
\(255\) | 6.09341 | + | 16.4615i | 0.381584 | + | 1.03086i | ||||
\(256\) | −3.69181 | −0.230738 | ||||||||
\(257\) | 12.6285 | 0.787746 | 0.393873 | − | 0.919165i | \(-0.371135\pi\) | ||||
0.393873 | + | 0.919165i | \(0.371135\pi\) | |||||||
\(258\) | −5.11791 | + | 1.89445i | −0.318627 | + | 0.117943i | ||||
\(259\) | 2.93271 | + | 2.66939i | 0.182230 | + | 0.165868i | ||||
\(260\) | −14.2335 | + | 15.0272i | −0.882726 | + | 0.931949i | ||||
\(261\) | −0.177437 | + | 0.152217i | −0.0109831 | + | 0.00942202i | ||||
\(262\) | −1.61651 | − | 6.03290i | −0.0998684 | − | 0.372714i | ||||
\(263\) | −27.1512 | − | 15.6758i | −1.67422 | − | 0.966610i | −0.965235 | − | 0.261383i | \(-0.915821\pi\) |
−0.708982 | − | 0.705227i | \(-0.750845\pi\) | |||||||
\(264\) | 6.78560 | − | 14.7615i | 0.417625 | − | 0.908507i | ||||
\(265\) | −6.82130 | + | 6.82130i | −0.419029 | + | 0.419029i | ||||
\(266\) | −5.35098 | − | 8.33785i | −0.328090 | − | 0.511226i | ||||
\(267\) | −9.94323 | − | 8.25134i | −0.608516 | − | 0.504974i | ||||
\(268\) | −11.0208 | + | 2.95302i | −0.673204 | + | 0.180384i | ||||
\(269\) | − | 18.1615i | − | 1.10733i | −0.832740 | − | 0.553664i | \(-0.813229\pi\) | ||
0.832740 | − | 0.553664i | \(-0.186771\pi\) | |||||||
\(270\) | −2.41612 | + | 9.64588i | −0.147040 | + | 0.587030i | ||||
\(271\) | 11.3142 | + | 11.3142i | 0.687288 | + | 0.687288i | 0.961632 | − | 0.274344i | \(-0.0884607\pi\) |
−0.274344 | + | 0.961632i | \(0.588461\pi\) | |||||||
\(272\) | 6.56410 | 0.398007 | ||||||||
\(273\) | 12.7388 | − | 10.5225i | 0.770986 | − | 0.636852i | ||||
\(274\) | 4.93266 | 0.297993 | ||||||||
\(275\) | 21.1941 | + | 21.1941i | 1.27805 | + | 1.27805i | ||||
\(276\) | −10.8106 | + | 1.00526i | −0.650721 | + | 0.0605097i | ||||
\(277\) | − | 9.36646i | − | 0.562776i | −0.959594 | − | 0.281388i | \(-0.909205\pi\) | ||
0.959594 | − | 0.281388i | \(-0.0907948\pi\) | |||||||
\(278\) | −0.588386 | + | 0.157658i | −0.0352891 | + | 0.00945567i | ||||
\(279\) | −19.0110 | − | 1.45442i | −1.13816 | − | 0.0870736i | ||||
\(280\) | −8.55907 | + | 16.5766i | −0.511502 | + | 0.990641i | ||||
\(281\) | −9.37899 | + | 9.37899i | −0.559504 | + | 0.559504i | −0.929166 | − | 0.369662i | \(-0.879473\pi\) |
0.369662 | + | 0.929166i | \(0.379473\pi\) | |||||||
\(282\) | 9.81166 | + | 4.51025i | 0.584276 | + | 0.268581i | ||||
\(283\) | 8.46019 | + | 4.88449i | 0.502906 | + | 0.290353i | 0.729913 | − | 0.683540i | \(-0.239561\pi\) |
−0.227007 | + | 0.973893i | \(0.572894\pi\) | |||||||
\(284\) | 5.47687 | + | 20.4399i | 0.324992 | + | 1.21289i | ||||
\(285\) | −3.64387 | − | 39.1861i | −0.215844 | − | 2.32119i | ||||
\(286\) | 9.17521 | − | 0.248878i | 0.542542 | − | 0.0147165i | ||||
\(287\) | −1.87779 | + | 8.60592i | −0.110842 | + | 0.507992i | ||||
\(288\) | 13.3164 | + | 9.10932i | 0.784675 | + | 0.536772i | ||||
\(289\) | −8.15550 | −0.479735 | ||||||||
\(290\) | 0.149130 | 0.00875719 | ||||||||
\(291\) | 9.72561 | − | 3.60004i | 0.570125 | − | 0.211038i | ||||
\(292\) | −5.05290 | − | 1.35392i | −0.295699 | − | 0.0792322i | ||||
\(293\) | 5.69235 | + | 21.2441i | 0.332551 | + | 1.24110i | 0.906500 | + | 0.422206i | \(0.138744\pi\) |
−0.573949 | + | 0.818891i | \(0.694589\pi\) | |||||||
\(294\) | 3.83749 | − | 5.62446i | 0.223807 | − | 0.328025i | ||||
\(295\) | −2.68893 | + | 4.65736i | −0.156555 | + | 0.271162i | ||||
\(296\) | −3.10153 | −0.180273 | ||||||||
\(297\) | −20.2031 | + | 12.1094i | −1.17230 | + | 0.702658i | ||||
\(298\) | −3.97012 | + | 2.29215i | −0.229983 | + | 0.132781i | ||||
\(299\) | −7.02065 | − | 11.4326i | −0.406015 | − | 0.661163i | ||||
\(300\) | −15.7435 | + | 11.1522i | −0.908953 | + | 0.643874i | ||||
\(301\) | 13.1895 | + | 6.81019i | 0.760230 | + | 0.392533i | ||||
\(302\) | 7.82971 | − | 4.52048i | 0.450549 | − | 0.260125i | ||||
\(303\) | 12.0578 | + | 5.54274i | 0.692700 | + | 0.318422i | ||||
\(304\) | −14.2157 | − | 3.80908i | −0.815324 | − | 0.218466i | ||||
\(305\) | 14.1218 | + | 14.1218i | 0.808612 | + | 0.808612i | ||||
\(306\) | 4.13542 | + | 2.82891i | 0.236406 | + | 0.161718i | ||||
\(307\) | 13.2557 | + | 13.2557i | 0.756542 | + | 0.756542i | 0.975691 | − | 0.219150i | \(-0.0703283\pi\) |
−0.219150 | + | 0.975691i | \(0.570328\pi\) | |||||||
\(308\) | −19.2485 | + | 6.13972i | −1.09679 | + | 0.349843i | ||||
\(309\) | 4.07519 | − | 8.86523i | 0.231829 | − | 0.504325i | ||||
\(310\) | 8.60022 | + | 8.60022i | 0.488460 | + | 0.488460i | ||||
\(311\) | 12.1397 | + | 21.0265i | 0.688378 | + | 1.19230i | 0.972363 | + | 0.233476i | \(0.0750101\pi\) |
−0.283985 | + | 0.958829i | \(0.591657\pi\) | |||||||
\(312\) | −1.82829 | + | 12.7924i | −0.103506 | + | 0.724226i | ||||
\(313\) | −5.34817 | + | 9.26331i | −0.302297 | + | 0.523593i | −0.976656 | − | 0.214810i | \(-0.931087\pi\) |
0.674359 | + | 0.738403i | \(0.264420\pi\) | |||||||
\(314\) | 1.35141 | − | 5.04353i | 0.0762645 | − | 0.284623i | ||||
\(315\) | 23.8110 | − | 12.8297i | 1.34160 | − | 0.722870i | ||||
\(316\) | 14.8216 | + | 8.55726i | 0.833781 | + | 0.481384i | ||||
\(317\) | −8.82386 | + | 2.36434i | −0.495597 | + | 0.132795i | −0.497956 | − | 0.867202i | \(-0.665916\pi\) |
0.00235877 | + | 0.999997i | \(0.499249\pi\) | |||||||
\(318\) | −0.463359 | + | 2.71435i | −0.0259839 | + | 0.152213i | ||||
\(319\) | 0.249783 | + | 0.249783i | 0.0139851 | + | 0.0139851i | ||||
\(320\) | 1.22960 | + | 4.58893i | 0.0687367 | + | 0.256529i | ||||
\(321\) | −4.16665 | + | 0.387452i | −0.232560 | + | 0.0216255i | ||||
\(322\) | −4.08862 | − | 3.72151i | −0.227850 | − | 0.207392i | ||||
\(323\) | −19.1543 | − | 5.13237i | −1.06577 | − | 0.285573i | ||||
\(324\) | −5.49522 | − | 14.1307i | −0.305290 | − | 0.785038i | ||||
\(325\) | −20.9621 | − | 11.3560i | −1.16277 | − | 0.629919i | ||||
\(326\) | −3.04561 | + | 1.75838i | −0.168681 | + | 0.0973878i | ||||
\(327\) | −4.11000 | + | 24.0764i | −0.227284 | + | 1.33143i | ||||
\(328\) | −3.44451 | − | 5.96607i | −0.190192 | − | 0.329421i | ||||
\(329\) | −8.92588 | − | 27.9834i | −0.492100 | − | 1.54278i | ||||
\(330\) | 14.8110 | + | 2.52834i | 0.815318 | + | 0.139181i | ||||
\(331\) | 23.0901 | + | 6.18697i | 1.26915 | + | 0.340066i | 0.829703 | − | 0.558205i | \(-0.188510\pi\) |
0.439442 | + | 0.898271i | \(0.355176\pi\) | |||||||
\(332\) | 9.26219 | − | 9.26219i | 0.508329 | − | 0.508329i | ||||
\(333\) | 3.71134 | + | 2.53882i | 0.203380 | + | 0.139126i | ||||
\(334\) | −6.91525 | − | 11.9776i | −0.378386 | − | 0.655383i | ||||
\(335\) | −11.5397 | − | 19.9874i | −0.630482 | − | 1.09203i | ||||
\(336\) | −1.40833 | − | 10.0161i | −0.0768307 | − | 0.546421i | ||||
\(337\) | − | 13.3669i | − | 0.728144i | −0.931371 | − | 0.364072i | \(-0.881386\pi\) | ||
0.931371 | − | 0.364072i | \(-0.118614\pi\) | |||||||
\(338\) | −6.93907 | + | 2.26905i | −0.377436 | + | 0.123420i | ||||
\(339\) | 3.25316 | − | 7.07696i | 0.176687 | − | 0.384368i | ||||
\(340\) | 4.41867 | + | 16.4907i | 0.239636 | + | 0.894333i | ||||
\(341\) | 28.8097i | 1.56013i | ||||||||
\(342\) | −7.31436 | − | 8.52622i | −0.395515 | − | 0.461045i | ||||
\(343\) | −18.3367 | + | 2.60102i | −0.990089 | + | 0.140442i | ||||
\(344\) | −11.2138 | + | 3.00473i | −0.604607 | + | 0.162004i | ||||
\(345\) | −7.62396 | − | 20.5963i | −0.410460 | − | 1.10887i | ||||
\(346\) | 1.67223 | − | 6.24084i | 0.0898996 | − | 0.335510i | ||||
\(347\) | 30.7736i | 1.65201i | 0.563661 | + | 0.826006i | \(0.309392\pi\) | ||||
−0.563661 | + | 0.826006i | \(0.690608\pi\) | |||||||
\(348\) | −0.185545 | + | 0.131434i | −0.00994624 | + | 0.00704561i | ||||
\(349\) | 3.59684 | − | 13.4236i | 0.192534 | − | 0.718548i | −0.800357 | − | 0.599524i | \(-0.795357\pi\) |
0.992891 | − | 0.119024i | \(-0.0379766\pi\) | |||||||
\(350\) | −9.59864 | − | 2.09440i | −0.513069 | − | 0.111950i | ||||
\(351\) | 12.6592 | − | 13.8110i | 0.675699 | − | 0.737177i | ||||
\(352\) | 12.1893 | − | 21.1124i | 0.649690 | − | 1.12530i | ||||
\(353\) | 31.5979 | − | 8.46662i | 1.68178 | − | 0.450633i | 0.713535 | − | 0.700620i | \(-0.247093\pi\) |
0.968249 | + | 0.249987i | \(0.0804264\pi\) | |||||||
\(354\) | 0.142132 | + | 1.52848i | 0.00755422 | + | 0.0812380i | ||||
\(355\) | −37.0699 | + | 21.4023i | −1.96747 | + | 1.13592i | ||||
\(356\) | −8.88634 | − | 8.88634i | −0.470975 | − | 0.470975i | ||||
\(357\) | −1.89759 | − | 13.4957i | −0.100431 | − | 0.714268i | ||||
\(358\) | −5.06696 | + | 1.35769i | −0.267797 | + | 0.0717561i | ||||
\(359\) | −5.25960 | − | 19.6291i | −0.277591 | − | 1.03598i | −0.954085 | − | 0.299535i | \(-0.903168\pi\) |
0.676494 | − | 0.736448i | \(-0.263498\pi\) | |||||||
\(360\) | −7.01769 | + | 19.9558i | −0.369865 | + | 1.05176i | ||||
\(361\) | 22.0490 | + | 12.7300i | 1.16048 | + | 0.670001i | ||||
\(362\) | 5.93151 | − | 5.93151i | 0.311753 | − | 0.311753i | ||||
\(363\) | 9.55957 | + | 13.4952i | 0.501747 | + | 0.708313i | ||||
\(364\) | 13.2843 | − | 9.04324i | 0.696287 | − | 0.473994i | ||||
\(365\) | − | 10.5816i | − | 0.553866i | ||||||
\(366\) | 5.61939 | + | 0.959269i | 0.293730 | + | 0.0501418i | ||||
\(367\) | 11.7724 | − | 20.3905i | 0.614516 | − | 1.06437i | −0.375953 | − | 0.926639i | \(-0.622685\pi\) |
0.990469 | − | 0.137735i | \(-0.0439821\pi\) | |||||||
\(368\) | −8.21287 | −0.428125 | ||||||||
\(369\) | −0.761878 | + | 9.95869i | −0.0396618 | + | 0.518429i | ||||
\(370\) | −0.742396 | − | 2.77066i | −0.0385953 | − | 0.144040i | ||||
\(371\) | 6.30344 | − | 4.04536i | 0.327258 | − | 0.210025i | ||||
\(372\) | −18.2800 | − | 3.12052i | −0.947774 | − | 0.161792i | ||||
\(373\) | 2.76000 | + | 4.78046i | 0.142907 | + | 0.247523i | 0.928590 | − | 0.371107i | \(-0.121022\pi\) |
−0.785683 | + | 0.618629i | \(0.787688\pi\) | |||||||
\(374\) | 3.78539 | − | 6.55649i | 0.195738 | − | 0.339028i | ||||
\(375\) | −7.32246 | − | 6.07651i | −0.378130 | − | 0.313789i | ||||
\(376\) | 19.8945 | + | 11.4861i | 1.02598 | + | 0.592349i | ||||
\(377\) | −0.247048 | − | 0.133836i | −0.0127236 | − | 0.00689291i | ||||
\(378\) | 3.42934 | − | 6.91712i | 0.176386 | − | 0.355778i | ||||
\(379\) | −3.81746 | − | 1.02289i | −0.196090 | − | 0.0525421i | 0.159437 | − | 0.987208i | \(-0.449032\pi\) |
−0.355527 | + | 0.934666i | \(0.615699\pi\) | |||||||
\(380\) | − | 38.2775i | − | 1.96359i | ||||||
\(381\) | −3.93028 | − | 5.54836i | −0.201355 | − | 0.284251i | ||||
\(382\) | 2.16931 | + | 0.581265i | 0.110992 | + | 0.0297401i | ||||
\(383\) | 9.64207 | − | 35.9847i | 0.492687 | − | 1.83873i | −0.0499301 | − | 0.998753i | \(-0.515900\pi\) |
0.542617 | − | 0.839980i | \(-0.317433\pi\) | |||||||
\(384\) | 15.3800 | + | 12.7630i | 0.784859 | + | 0.651311i | ||||
\(385\) | −22.0737 | − | 34.3950i | −1.12498 | − | 1.75293i | ||||
\(386\) | −7.88697 | − | 4.55354i | −0.401436 | − | 0.231769i | ||||
\(387\) | 15.8782 | + | 5.58376i | 0.807135 | + | 0.283839i | ||||
\(388\) | 9.74285 | − | 2.61059i | 0.494618 | − | 0.132533i | ||||
\(389\) | −8.36934 | − | 14.4961i | −0.424342 | − | 0.734982i | 0.572017 | − | 0.820242i | \(-0.306161\pi\) |
−0.996359 | + | 0.0852599i | \(0.972828\pi\) | |||||||
\(390\) | −11.8653 | + | 1.42879i | −0.600824 | + | 0.0723498i | ||||
\(391\) | −11.0661 | −0.559635 | ||||||||
\(392\) | 9.23631 | − | 11.1578i | 0.466504 | − | 0.563552i | ||||
\(393\) | −8.04557 | + | 17.5024i | −0.405845 | + | 0.882882i | ||||
\(394\) | −1.48888 | + | 0.859604i | −0.0750086 | + | 0.0433062i | ||||
\(395\) | −8.96016 | + | 33.4398i | −0.450834 | + | 1.68254i | ||||
\(396\) | −20.6559 | + | 9.90782i | −1.03800 | + | 0.497887i | ||||
\(397\) | 1.20999 | − | 4.51574i | 0.0607276 | − | 0.226639i | −0.928892 | − | 0.370351i | \(-0.879237\pi\) |
0.989619 | + | 0.143712i | \(0.0459040\pi\) | |||||||
\(398\) | −3.39497 | + | 3.39497i | −0.170174 | + | 0.170174i | ||||
\(399\) | −3.72185 | + | 30.3283i | −0.186326 | + | 1.51832i | ||||
\(400\) | −12.6390 | + | 7.29713i | −0.631950 | + | 0.364856i | ||||
\(401\) | −8.11133 | + | 8.11133i | −0.405060 | + | 0.405060i | −0.880012 | − | 0.474952i | \(-0.842466\pi\) |
0.474952 | + | 0.880012i | \(0.342466\pi\) | |||||||
\(402\) | −5.98575 | − | 2.75155i | −0.298542 | − | 0.137235i | ||||
\(403\) | −6.52887 | − | 21.9654i | −0.325226 | − | 1.09417i | ||||
\(404\) | 11.1780 | + | 6.45365i | 0.556128 | + | 0.321081i | ||||
\(405\) | 24.7327 | − | 18.1350i | 1.22898 | − | 0.901135i | ||||
\(406\) | −0.113124 | − | 0.0246835i | −0.00561427 | − | 0.00122502i | ||||
\(407\) | 3.39721 | − | 5.88414i | 0.168394 | − | 0.291666i | ||||
\(408\) | 8.20235 | + | 6.80668i | 0.406077 | + | 0.336981i | ||||
\(409\) | 24.1858 | − | 24.1858i | 1.19591 | − | 1.19591i | 0.220529 | − | 0.975380i | \(-0.429222\pi\) |
0.975380 | − | 0.220529i | \(-0.0707783\pi\) | |||||||
\(410\) | 4.50513 | − | 4.50513i | 0.222492 | − | 0.222492i | ||||
\(411\) | −11.7073 | − | 9.71522i | −0.577477 | − | 0.479217i | ||||
\(412\) | 4.74491 | − | 8.21843i | 0.233765 | − | 0.404893i | ||||
\(413\) | 2.81060 | − | 3.08785i | 0.138300 | − | 0.151943i | ||||
\(414\) | −5.17415 | − | 3.53948i | −0.254296 | − | 0.173956i | ||||
\(415\) | 22.9464 | + | 13.2481i | 1.12639 | + | 0.650323i | ||||
\(416\) | −4.50896 | + | 18.8591i | −0.221070 | + | 0.924644i | ||||
\(417\) | 1.70701 | + | 0.784680i | 0.0835924 | + | 0.0384260i | ||||
\(418\) | −12.0026 | + | 12.0026i | −0.587065 | + | 0.587065i | ||||
\(419\) | −15.7912 | + | 9.11707i | −0.771452 | + | 0.445398i | −0.833392 | − | 0.552682i | \(-0.813604\pi\) |
0.0619404 | + | 0.998080i | \(0.480271\pi\) | |||||||
\(420\) | 24.2149 | − | 10.2805i | 1.18156 | − | 0.501635i | ||||
\(421\) | 17.0106 | − | 17.0106i | 0.829045 | − | 0.829045i | −0.158340 | − | 0.987385i | \(-0.550614\pi\) |
0.987385 | + | 0.158340i | \(0.0506142\pi\) | |||||||
\(422\) | −1.86754 | + | 6.96974i | −0.0909103 | + | 0.339282i | ||||
\(423\) | −14.4039 | − | 30.0295i | −0.700343 | − | 1.46008i | ||||
\(424\) | −1.51611 | + | 5.65822i | −0.0736290 | + | 0.274787i | ||||
\(425\) | −17.0298 | + | 9.83219i | −0.826069 | + | 0.476931i | ||||
\(426\) | −5.10320 | + | 11.1016i | −0.247251 | + | 0.537873i | ||||
\(427\) | −8.37490 | − | 13.0497i | −0.405290 | − | 0.631519i | ||||
\(428\) | −4.07003 | −0.196733 | ||||||||
\(429\) | −22.2668 | − | 17.4805i | −1.07505 | − | 0.843968i | ||||
\(430\) | −5.36837 | − | 9.29830i | −0.258886 | − | 0.448404i | ||||
\(431\) | −28.4763 | + | 7.63021i | −1.37166 | + | 0.367534i | −0.868084 | − | 0.496418i | \(-0.834648\pi\) |
−0.503573 | + | 0.863952i | \(0.667982\pi\) | |||||||
\(432\) | −3.14927 | − | 11.0280i | −0.151519 | − | 0.530585i | ||||
\(433\) | 15.1309 | + | 8.73583i | 0.727145 | + | 0.419817i | 0.817377 | − | 0.576103i | \(-0.195427\pi\) |
−0.0902317 | + | 0.995921i | \(0.528761\pi\) | |||||||
\(434\) | −5.10035 | − | 7.94731i | −0.244824 | − | 0.381483i | ||||
\(435\) | −0.353947 | − | 0.293721i | −0.0169705 | − | 0.0140829i | ||||
\(436\) | −6.14845 | + | 22.9463i | −0.294457 | + | 1.09893i | ||||
\(437\) | 23.9654 | + | 6.42152i | 1.14642 | + | 0.307183i | ||||
\(438\) | −1.74594 | − | 2.46473i | −0.0834240 | − | 0.117769i | ||||
\(439\) | 16.3826i | 0.781901i | 0.920412 | + | 0.390950i | \(0.127854\pi\) | ||||
−0.920412 | + | 0.390950i | \(0.872146\pi\) | |||||||
\(440\) | 30.8743 | + | 8.27275i | 1.47187 | + | 0.394388i | ||||
\(441\) | −20.1857 | + | 5.79101i | −0.961226 | + | 0.275762i | ||||
\(442\) | −1.40026 | + | 5.85672i | −0.0666037 | + | 0.278576i | ||||
\(443\) | 17.0034 | + | 9.81693i | 0.807857 | + | 0.466416i | 0.846211 | − | 0.532848i | \(-0.178878\pi\) |
−0.0383541 | + | 0.999264i | \(0.512211\pi\) | |||||||
\(444\) | 3.36558 | + | 2.79291i | 0.159723 | + | 0.132545i | ||||
\(445\) | 12.7105 | − | 22.0152i | 0.602535 | − | 1.04362i | ||||
\(446\) | −3.34026 | − | 5.78551i | −0.158166 | − | 0.273952i | ||||
\(447\) | 13.9373 | + | 2.37920i | 0.659212 | + | 0.112532i | ||||
\(448\) | −0.173186 | − | 3.68452i | −0.00818228 | − | 0.174077i | ||||
\(449\) | 3.09336 | + | 11.5446i | 0.145984 | + | 0.544821i | 0.999710 | + | 0.0240976i | \(0.00767124\pi\) |
−0.853725 | + | 0.520724i | \(0.825662\pi\) | |||||||
\(450\) | −11.1075 | − | 0.849763i | −0.523611 | − | 0.0400582i | ||||
\(451\) | 15.0916 | 0.710636 | ||||||||
\(452\) | 3.78779 | − | 6.56064i | 0.178163 | − | 0.308587i | ||||
\(453\) | −27.4866 | − | 4.69216i | −1.29143 | − | 0.220457i | ||||
\(454\) | − | 13.9939i | − | 0.656764i | ||||||
\(455\) | 24.6243 | + | 21.2215i | 1.15440 | + | 0.994878i | ||||
\(456\) | −13.8137 | − | 19.5007i | −0.646887 | − | 0.913206i | ||||
\(457\) | 6.28317 | − | 6.28317i | 0.293914 | − | 0.293914i | −0.544710 | − | 0.838624i | \(-0.683360\pi\) |
0.838624 | + | 0.544710i | \(0.183360\pi\) | |||||||
\(458\) | −0.381886 | − | 0.220482i | −0.0178443 | − | 0.0103024i | ||||
\(459\) | −4.24334 | − | 14.8592i | −0.198062 | − | 0.693568i | ||||
\(460\) | −5.52855 | − | 20.6328i | −0.257770 | − | 0.962010i | ||||
\(461\) | 25.7182 | − | 6.89117i | 1.19782 | − | 0.320954i | 0.395845 | − | 0.918317i | \(-0.370452\pi\) |
0.801970 | + | 0.597364i | \(0.203785\pi\) | |||||||
\(462\) | −10.8166 | − | 4.36938i | −0.503234 | − | 0.203282i | ||||
\(463\) | −1.52114 | − | 1.52114i | −0.0706936 | − | 0.0706936i | 0.670876 | − | 0.741570i | \(-0.265918\pi\) |
−0.741570 | + | 0.670876i | \(0.765918\pi\) | |||||||
\(464\) | −0.148956 | + | 0.0860000i | −0.00691513 | + | 0.00399245i | ||||
\(465\) | −3.47320 | − | 37.3507i | −0.161066 | − | 1.73210i | ||||
\(466\) | 0.115791 | − | 0.0310262i | 0.00536393 | − | 0.00143726i | ||||
\(467\) | −6.28892 | + | 10.8927i | −0.291017 | + | 0.504056i | −0.974050 | − | 0.226331i | \(-0.927327\pi\) |
0.683034 | + | 0.730387i | \(0.260660\pi\) | |||||||
\(468\) | 13.5034 | − | 12.2351i | 0.624195 | − | 0.565568i | ||||
\(469\) | 5.44537 | + | 17.0717i | 0.251444 | + | 0.788299i | ||||
\(470\) | −5.49872 | + | 20.5215i | −0.253637 | + | 0.946587i | ||||
\(471\) | −13.1411 | + | 9.30872i | −0.605508 | + | 0.428923i | ||||
\(472\) | 3.26560i | 0.150311i | ||||||||
\(473\) | 6.58237 | − | 24.5657i | 0.302658 | − | 1.12953i | ||||
\(474\) | 3.43042 | + | 9.26738i | 0.157564 | + | 0.425665i | ||||
\(475\) | 42.5865 | − | 11.4110i | 1.95400 | − | 0.523574i | ||||
\(476\) | −0.622359 | − | 13.2406i | −0.0285258 | − | 0.606883i | ||||
\(477\) | 6.44585 | − | 5.52968i | 0.295135 | − | 0.253187i | ||||
\(478\) | 0.351763i | 0.0160893i | ||||||||
\(479\) | −3.54058 | − | 13.2136i | −0.161773 | − | 0.603746i | −0.998430 | − | 0.0560179i | \(-0.982160\pi\) |
0.836657 | − | 0.547728i | \(-0.184507\pi\) | |||||||
\(480\) | −13.2577 | + | 28.8410i | −0.605129 | + | 1.31641i | ||||
\(481\) | −1.25667 | + | 5.25614i | −0.0572992 | + | 0.239659i | ||||
\(482\) | 4.59520i | 0.209306i | ||||||||
\(483\) | 2.37423 | + | 16.8855i | 0.108031 | + | 0.768318i | ||||
\(484\) | 8.04255 | + | 13.9301i | 0.365571 | + | 0.633187i | ||||
\(485\) | 10.2016 | + | 17.6696i | 0.463229 | + | 0.802336i | ||||
\(486\) | 2.76865 | − | 8.30493i | 0.125589 | − | 0.376719i | ||||
\(487\) | 5.32968 | − | 5.32968i | 0.241511 | − | 0.241511i | −0.575964 | − | 0.817475i | \(-0.695373\pi\) |
0.817475 | + | 0.575964i | \(0.195373\pi\) | |||||||
\(488\) | 11.7139 | + | 3.13873i | 0.530264 | + | 0.142084i | ||||
\(489\) | 10.6918 | + | 1.82516i | 0.483498 | + | 0.0825366i | ||||
\(490\) | 12.1783 | + | 5.58022i | 0.550160 | + | 0.252089i | ||||
\(491\) | 16.5182 | + | 28.6104i | 0.745457 | + | 1.29117i | 0.949981 | + | 0.312308i | \(0.101102\pi\) |
−0.204523 | + | 0.978862i | \(0.565564\pi\) | |||||||
\(492\) | −1.63465 | + | 9.57576i | −0.0736957 | + | 0.431709i | ||||
\(493\) | −0.200705 | + | 0.115877i | −0.00903928 | + | 0.00521883i | ||||
\(494\) | 6.43110 | − | 11.8712i | 0.289349 | − | 0.534109i | ||||
\(495\) | −30.1729 | − | 35.1721i | −1.35617 | − | 1.58087i | ||||
\(496\) | −13.5498 | − | 3.63066i | −0.608405 | − | 0.163022i | ||||
\(497\) | 31.6623 | − | 10.0993i | 1.42025 | − | 0.453018i | ||||
\(498\) | 7.53070 | − | 0.700270i | 0.337459 | − | 0.0313799i | ||||
\(499\) | −4.39571 | − | 16.4050i | −0.196779 | − | 0.734390i | −0.991799 | − | 0.127807i | \(-0.959206\pi\) |
0.795020 | − | 0.606583i | \(-0.207460\pi\) | |||||||
\(500\) | −6.54413 | − | 6.54413i | −0.292663 | − | 0.292663i | ||||
\(501\) | −7.17787 | + | 42.0479i | −0.320683 | + | 1.87856i | ||||
\(502\) | 5.17825 | − | 1.38751i | 0.231117 | − | 0.0619275i | ||||
\(503\) | −9.32997 | − | 5.38666i | −0.416003 | − | 0.240179i | 0.277363 | − | 0.960765i | \(-0.410540\pi\) |
−0.693366 | + | 0.720586i | \(0.743873\pi\) | |||||||
\(504\) | 8.62639 | − | 13.9762i | 0.384250 | − | 0.622550i | ||||
\(505\) | −6.75750 | + | 25.2193i | −0.300705 | + | 1.12225i | ||||
\(506\) | −4.73621 | + | 8.20335i | −0.210550 | + | 0.364683i | ||||
\(507\) | 20.9384 | + | 8.28158i | 0.929906 | + | 0.367798i | ||||
\(508\) | −3.30659 | − | 5.72717i | −0.146706 | − | 0.254102i | ||||
\(509\) | −12.8219 | − | 12.8219i | −0.568322 | − | 0.568322i | 0.363336 | − | 0.931658i | \(-0.381638\pi\) |
−0.931658 | + | 0.363336i | \(0.881638\pi\) | |||||||
\(510\) | −4.11720 | + | 8.95661i | −0.182313 | + | 0.396605i | ||||
\(511\) | −1.75143 | + | 8.02683i | −0.0774788 | + | 0.355086i | ||||
\(512\) | 14.8525 | + | 14.8525i | 0.656393 | + | 0.656393i | ||||
\(513\) | 0.567044 | + | 34.6425i | 0.0250356 | + | 1.52950i | ||||
\(514\) | 5.01481 | + | 5.01481i | 0.221194 | + | 0.221194i | ||||
\(515\) | 18.5420 | + | 4.96832i | 0.817059 | + | 0.218930i | ||||
\(516\) | 14.8742 | + | 6.83742i | 0.654801 | + | 0.301001i | ||||
\(517\) | −43.5822 | + | 25.1622i | −1.91674 | + | 1.10663i | ||||
\(518\) | 0.104565 | + | 2.22460i | 0.00459431 | + | 0.0977435i | ||||
\(519\) | −16.2607 | + | 11.5186i | −0.713764 | + | 0.505609i | ||||
\(520\) | −25.4143 | + | 0.689366i | −1.11449 | + | 0.0302307i | ||||
\(521\) | 13.5307 | − | 7.81195i | 0.592790 | − | 0.342248i | −0.173410 | − | 0.984850i | \(-0.555479\pi\) |
0.766200 | + | 0.642602i | \(0.222145\pi\) | |||||||
\(522\) | −0.130907 | − | 0.0100149i | −0.00572962 | − | 0.000438338i | ||||
\(523\) | −23.9138 | −1.04568 | −0.522840 | − | 0.852431i | \(-0.675127\pi\) | ||||
−0.522840 | + | 0.852431i | \(0.675127\pi\) | |||||||
\(524\) | −9.36780 | + | 16.2255i | −0.409234 | + | 0.708814i | ||||
\(525\) | 18.6565 | + | 23.8761i | 0.814238 | + | 1.04204i | ||||
\(526\) | −4.55693 | − | 17.0067i | −0.198692 | − | 0.741527i | ||||
\(527\) | −18.2571 | − | 4.89197i | −0.795291 | − | 0.213098i | ||||
\(528\) | −16.2518 | + | 6.01579i | −0.707270 | + | 0.261804i | ||||
\(529\) | −9.15437 | −0.398016 | ||||||||
\(530\) | −5.41751 | −0.235322 | ||||||||
\(531\) | 2.67312 | − | 3.90767i | 0.116003 | − | 0.169579i | ||||
\(532\) | −6.33557 | + | 29.0359i | −0.274682 | + | 1.25887i | ||||
\(533\) | −11.5063 | + | 3.42007i | −0.498393 | + | 0.148140i | ||||
\(534\) | −0.671853 | − | 7.22510i | −0.0290739 | − | 0.312661i | ||||
\(535\) | −2.13083 | − | 7.95237i | −0.0921238 | − | 0.343811i | ||||
\(536\) | −12.1369 | − | 7.00726i | −0.524236 | − | 0.302668i | ||||
\(537\) | 14.7001 | + | 6.75738i | 0.634356 | + | 0.291602i | ||||
\(538\) | 7.21198 | − | 7.21198i | 0.310930 | − | 0.310930i | ||||
\(539\) | 11.0514 | + | 29.7444i | 0.476016 | + | 1.28118i | ||||
\(540\) | 25.5852 | − | 15.3353i | 1.10101 | − | 0.659928i | ||||
\(541\) | 26.2082 | − | 7.02248i | 1.12678 | − | 0.301920i | 0.353156 | − | 0.935564i | \(-0.385109\pi\) |
0.773624 | + | 0.633645i | \(0.218442\pi\) | |||||||
\(542\) | 8.98577i | 0.385972i | ||||||||
\(543\) | −25.7605 | + | 2.39544i | −1.10549 | + | 0.102798i | ||||
\(544\) | 11.3095 | + | 11.3095i | 0.484889 | + | 0.484889i | ||||
\(545\) | −48.0534 | −2.05838 | ||||||||
\(546\) | 9.23711 | + | 0.880078i | 0.395312 | + | 0.0376639i | ||||
\(547\) | 19.3833 | 0.828770 | 0.414385 | − | 0.910102i | \(-0.363997\pi\) | ||||
0.414385 | + | 0.910102i | \(0.363997\pi\) | |||||||
\(548\) | −10.4629 | − | 10.4629i | −0.446952 | − | 0.446952i | ||||
\(549\) | −11.4478 | − | 13.3445i | −0.488581 | − | 0.569530i | ||||
\(550\) | 16.8325i | 0.717739i | ||||||||
\(551\) | 0.501902 | − | 0.134484i | 0.0213817 | − | 0.00572922i | ||||
\(552\) | −10.2626 | − | 8.51638i | −0.436806 | − | 0.362481i | ||||
\(553\) | 12.3317 | − | 23.8832i | 0.524397 | − | 1.01562i | ||||
\(554\) | 3.71944 | − | 3.71944i | 0.158024 | − | 0.158024i | ||||
\(555\) | −3.69499 | + | 8.03814i | −0.156844 | + | 0.341200i | ||||
\(556\) | 1.58246 | + | 0.913636i | 0.0671115 | + | 0.0387468i | ||||
\(557\) | −5.55919 | − | 20.7472i | −0.235551 | − | 0.879087i | −0.977900 | − | 0.209074i | \(-0.932955\pi\) |
0.742349 | − | 0.670013i | \(-0.233712\pi\) | |||||||
\(558\) | −6.97176 | − | 8.12686i | −0.295138 | − | 0.344038i | ||||
\(559\) | 0.548507 | + | 20.2214i | 0.0231994 | + | 0.855274i | ||||
\(560\) | 18.9585 | − | 6.04720i | 0.801143 | − | 0.255541i | ||||
\(561\) | −21.8978 | + | 8.10571i | −0.924526 | + | 0.342223i | ||||
\(562\) | −7.44883 | −0.314210 | ||||||||
\(563\) | −36.6784 | −1.54581 | −0.772906 | − | 0.634521i | \(-0.781198\pi\) | ||||
−0.772906 | + | 0.634521i | \(0.781198\pi\) | |||||||
\(564\) | −11.2450 | − | 30.3788i | −0.473502 | − | 1.27918i | ||||
\(565\) | 14.8018 | + | 3.96613i | 0.622716 | + | 0.166856i | ||||
\(566\) | 1.41992 | + | 5.29920i | 0.0596836 | + | 0.222742i | ||||
\(567\) | −21.7630 | + | 9.66290i | −0.913960 | + | 0.405803i | ||||
\(568\) | −12.9961 | + | 22.5099i | −0.545305 | + | 0.944497i | ||||
\(569\) | 4.46811 | 0.187313 | 0.0936565 | − | 0.995605i | \(-0.470144\pi\) | ||||
0.0936565 | + | 0.995605i | \(0.470144\pi\) | |||||||
\(570\) | 14.1139 | − | 17.0079i | 0.591167 | − | 0.712382i | ||||
\(571\) | −7.70795 | + | 4.45018i | −0.322567 | + | 0.186234i | −0.652536 | − | 0.757757i | \(-0.726295\pi\) |
0.329969 | + | 0.943992i | \(0.392962\pi\) | |||||||
\(572\) | −19.9898 | − | 18.9340i | −0.835817 | − | 0.791671i | ||||
\(573\) | −4.00384 | − | 5.65219i | −0.167263 | − | 0.236124i | ||||
\(574\) | −4.16310 | + | 2.67176i | −0.173765 | + | 0.111517i | ||||
\(575\) | 21.3074 | − | 12.3018i | 0.888580 | − | 0.513022i | ||||
\(576\) | −0.771176 | − | 4.11075i | −0.0321323 | − | 0.171281i | ||||
\(577\) | 20.7772 | + | 5.56723i | 0.864965 | + | 0.231767i | 0.663909 | − | 0.747813i | \(-0.268896\pi\) |
0.201056 | + | 0.979580i | \(0.435563\pi\) | |||||||
\(578\) | −3.23857 | − | 3.23857i | −0.134707 | − | 0.134707i | ||||
\(579\) | 9.75056 | + | 26.3414i | 0.405220 | + | 1.09471i | ||||
\(580\) | −0.316325 | − | 0.316325i | −0.0131347 | − | 0.0131347i | ||||
\(581\) | −15.2135 | − | 13.8475i | −0.631164 | − | 0.574493i | ||||
\(582\) | 5.29164 | + | 2.43248i | 0.219346 | + | 0.100829i | ||||
\(583\) | −9.07398 | − | 9.07398i | −0.375806 | − | 0.375806i | ||||
\(584\) | −3.21273 | − | 5.56462i | −0.132944 | − | 0.230266i | ||||
\(585\) | 30.9755 | + | 19.9785i | 1.28068 | + | 0.826008i | ||||
\(586\) | −6.17565 | + | 10.6965i | −0.255114 | + | 0.441870i | ||||
\(587\) | 6.43634 | − | 24.0207i | 0.265656 | − | 0.991442i | −0.696191 | − | 0.717856i | \(-0.745123\pi\) |
0.961848 | − | 0.273586i | \(-0.0882099\pi\) | |||||||
\(588\) | −20.0701 | + | 3.79043i | −0.827679 | + | 0.156315i | ||||
\(589\) | 36.7001 | + | 21.1888i | 1.51220 | + | 0.873069i | ||||
\(590\) | −2.91723 | + | 0.781668i | −0.120100 | + | 0.0321808i | ||||
\(591\) | 5.22678 | + | 0.892249i | 0.215001 | + | 0.0367022i | ||||
\(592\) | 2.33932 | + | 2.33932i | 0.0961454 | + | 0.0961454i | ||||
\(593\) | −2.51968 | − | 9.40359i | −0.103471 | − | 0.386159i | 0.894696 | − | 0.446675i | \(-0.147392\pi\) |
−0.998167 | + | 0.0605161i | \(0.980725\pi\) | |||||||
\(594\) | −12.8313 | − | 3.21402i | −0.526477 | − | 0.131873i | ||||
\(595\) | 25.5448 | − | 8.14803i | 1.04723 | − | 0.334037i | ||||
\(596\) | 13.2832 | + | 3.55921i | 0.544100 | + | 0.145791i | ||||
\(597\) | 14.7443 | − | 1.37106i | 0.603445 | − | 0.0561136i | ||||
\(598\) | 1.75198 | − | 7.32781i | 0.0716438 | − | 0.299657i | ||||
\(599\) | −22.5356 | + | 13.0110i | −0.920781 | + | 0.531613i | −0.883884 | − | 0.467706i | \(-0.845081\pi\) |
−0.0368968 | + | 0.999319i | \(0.511747\pi\) | |||||||
\(600\) | −23.3602 | − | 3.98775i | −0.953676 | − | 0.162799i | ||||
\(601\) | 14.4909 | + | 25.0989i | 0.591094 | + | 1.02381i | 0.994085 | + | 0.108602i | \(0.0346373\pi\) |
−0.402991 | + | 0.915204i | \(0.632029\pi\) | |||||||
\(602\) | 2.53324 | + | 7.94192i | 0.103247 | + | 0.323688i | ||||
\(603\) | 8.78734 | + | 18.3199i | 0.357848 | + | 0.746046i | ||||
\(604\) | −26.1965 | − | 7.01933i | −1.06592 | − | 0.285613i | ||||
\(605\) | −23.0072 | + | 23.0072i | −0.935375 | + | 0.935375i | ||||
\(606\) | 2.58713 | + | 6.98919i | 0.105095 | + | 0.283917i | ||||
\(607\) | 1.73922 | + | 3.01242i | 0.0705928 | + | 0.122270i | 0.899161 | − | 0.437617i | \(-0.144178\pi\) |
−0.828568 | + | 0.559888i | \(0.810844\pi\) | |||||||
\(608\) | −17.9298 | − | 31.0553i | −0.727149 | − | 1.25946i | ||||
\(609\) | 0.219876 | + | 0.281391i | 0.00890983 | + | 0.0114025i | ||||
\(610\) | 11.2156i | 0.454106i | ||||||||
\(611\) | 27.5262 | − | 29.0611i | 1.11359 | − | 1.17569i | ||||
\(612\) | −2.77128 | − | 14.7723i | −0.112023 | − | 0.597136i | ||||
\(613\) | 4.59569 | + | 17.1513i | 0.185618 | + | 0.692736i | 0.994497 | + | 0.104761i | \(0.0334079\pi\) |
−0.808879 | + | 0.587975i | \(0.799925\pi\) | |||||||
\(614\) | 10.5277i | 0.424864i | ||||||||
\(615\) | −19.5657 | + | 1.81939i | −0.788966 | + | 0.0733650i | ||||
\(616\) | −22.0509 | − | 11.3856i | −0.888455 | − | 0.458740i | ||||
\(617\) | 29.4261 | − | 7.88471i | 1.18465 | − | 0.317427i | 0.387882 | − | 0.921709i | \(-0.373207\pi\) |
0.796770 | + | 0.604282i | \(0.206540\pi\) | |||||||
\(618\) | 5.13867 | − | 1.90213i | 0.206707 | − | 0.0765150i | ||||
\(619\) | 3.21905 | − | 12.0137i | 0.129385 | − | 0.482870i | −0.870573 | − | 0.492039i | \(-0.836252\pi\) |
0.999958 | + | 0.00916885i | \(0.00291858\pi\) | |||||||
\(620\) | − | 36.4846i | − | 1.46526i | ||||||
\(621\) | 5.30918 | + | 18.5915i | 0.213050 | + | 0.746052i | ||||
\(622\) | −3.52899 | + | 13.1704i | −0.141500 | + | 0.528084i | ||||
\(623\) | −13.2856 | + | 14.5962i | −0.532277 | + | 0.584783i | ||||
\(624\) | 11.0276 | − | 8.26963i | 0.441457 | − | 0.331050i | ||||
\(625\) | −7.17006 | + | 12.4189i | −0.286802 | + | 0.496756i | ||||
\(626\) | −5.80225 | + | 1.55471i | −0.231905 | + | 0.0621386i | ||||
\(627\) | 52.1270 | − | 4.84723i | 2.08175 | − | 0.193580i | ||||
\(628\) | −13.5646 | + | 7.83151i | −0.541286 | + | 0.312511i | ||||
\(629\) | 3.15201 | + | 3.15201i | 0.125679 | + | 0.125679i | ||||
\(630\) | 14.5501 | + | 4.36073i | 0.579690 | + | 0.173735i | ||||
\(631\) | 9.15432 | − | 2.45289i | 0.364428 | − | 0.0976481i | −0.0719584 | − | 0.997408i | \(-0.522925\pi\) |
0.436386 | + | 0.899760i | \(0.356258\pi\) | |||||||
\(632\) | 5.44088 | + | 20.3056i | 0.216426 | + | 0.807715i | ||||
\(633\) | 18.1599 | − | 12.8639i | 0.721789 | − | 0.511293i | ||||
\(634\) | −4.44286 | − | 2.56509i | −0.176448 | − | 0.101873i | ||||
\(635\) | 9.45909 | − | 9.45909i | 0.375373 | − | 0.375373i | ||||
\(636\) | 6.74038 | − | 4.77468i | 0.267273 | − | 0.189328i | ||||
\(637\) | −15.1666 | − | 20.1736i | −0.600923 | − | 0.799307i | ||||
\(638\) | 0.198378i | 0.00785388i | ||||||||
\(639\) | 33.9774 | − | 16.2976i | 1.34412 | − | 0.644723i | ||||
\(640\) | −19.6604 | + | 34.0528i | −0.777145 | + | 1.34605i | ||||
\(641\) | −3.21821 | −0.127112 | −0.0635558 | − | 0.997978i | \(-0.520244\pi\) | ||||
−0.0635558 | + | 0.997978i | \(0.520244\pi\) | |||||||
\(642\) | −1.80844 | − | 1.50073i | −0.0713736 | − | 0.0592290i | ||||
\(643\) | −7.26853 | − | 27.1265i | −0.286643 | − | 1.06977i | −0.947630 | − | 0.319369i | \(-0.896529\pi\) |
0.660987 | − | 0.750397i | \(-0.270138\pi\) | |||||||
\(644\) | 0.778684 | + | 16.5664i | 0.0306844 | + | 0.652808i | ||||
\(645\) | −5.57225 | + | 32.6422i | −0.219407 | + | 1.28528i | ||||
\(646\) | −5.56812 | − | 9.64427i | −0.219075 | − | 0.379449i | ||||
\(647\) | −0.520734 | + | 0.901937i | −0.0204722 | + | 0.0354588i | −0.876080 | − | 0.482166i | \(-0.839850\pi\) |
0.855608 | + | 0.517625i | \(0.173184\pi\) | |||||||
\(648\) | 7.50030 | − | 17.0460i | 0.294639 | − | 0.669630i | ||||
\(649\) | −6.19541 | − | 3.57692i | −0.243191 | − | 0.140407i | ||||
\(650\) | −3.81459 | − | 12.8336i | −0.149620 | − | 0.503375i | ||||
\(651\) | −3.54752 | + | 28.9078i | −0.139038 | + | 1.13299i | ||||
\(652\) | 10.1899 | + | 2.73039i | 0.399069 | + | 0.106930i | ||||
\(653\) | 33.4930i | 1.31068i | 0.755334 | + | 0.655341i | \(0.227475\pi\) | ||||
−0.755334 | + | 0.655341i | \(0.772525\pi\) | |||||||
\(654\) | −11.1929 | + | 7.92868i | −0.437676 | + | 0.310036i | ||||
\(655\) | −36.6071 | − | 9.80885i | −1.43036 | − | 0.383264i | ||||
\(656\) | −1.90188 | + | 7.09791i | −0.0742559 | + | 0.277127i | ||||
\(657\) | −0.710612 | + | 9.28857i | −0.0277236 | + | 0.362382i | ||||
\(658\) | 7.56779 | − | 14.6568i | 0.295023 | − | 0.571380i | ||||
\(659\) | −2.89696 | − | 1.67256i | −0.112850 | − | 0.0651537i | 0.442513 | − | 0.896762i | \(-0.354087\pi\) |
−0.555362 | + | 0.831608i | \(0.687420\pi\) | |||||||
\(660\) | −26.0532 | − | 36.7792i | −1.01412 | − | 1.43163i | ||||
\(661\) | −39.4613 | + | 10.5736i | −1.53486 | + | 0.411266i | −0.924602 | − | 0.380934i | \(-0.875603\pi\) |
−0.610262 | + | 0.792199i | \(0.708936\pi\) | |||||||
\(662\) | 6.71226 | + | 11.6260i | 0.260879 | + | 0.451856i | ||||
\(663\) | 14.8586 | − | 11.1425i | 0.577062 | − | 0.432741i | ||||
\(664\) | 16.0893 | 0.624385 | ||||||||
\(665\) | −60.0498 | + | 2.82257i | −2.32863 | + | 0.109454i | ||||
\(666\) | 0.465613 | + | 2.48195i | 0.0180422 | + | 0.0961737i | ||||
\(667\) | 0.251118 | − | 0.144983i | 0.00972331 | − | 0.00561376i | ||||
\(668\) | −10.7379 | + | 40.0743i | −0.415461 | + | 1.55052i | ||||
\(669\) | −3.46712 | + | 20.3103i | −0.134046 | + | 0.785243i | ||||
\(670\) | 3.35458 | − | 12.5195i | 0.129599 | − | 0.483669i | ||||
\(671\) | −18.7854 | + | 18.7854i | −0.725202 | + | 0.725202i | ||||
\(672\) | 14.8305 | − | 19.6834i | 0.572099 | − | 0.759304i | ||||
\(673\) | −18.4345 | + | 10.6432i | −0.710599 | + | 0.410265i | −0.811283 | − | 0.584654i | \(-0.801230\pi\) |
0.100683 | + | 0.994919i | \(0.467897\pi\) | |||||||
\(674\) | 5.30804 | − | 5.30804i | 0.204458 | − | 0.204458i | ||||
\(675\) | 24.6890 | + | 23.8938i | 0.950280 | + | 0.919672i | ||||
\(676\) | 19.5317 | + | 9.90577i | 0.751220 | + | 0.380991i | ||||
\(677\) | −8.11505 | − | 4.68523i | −0.311887 | − | 0.180068i | 0.335884 | − | 0.941903i | \(-0.390965\pi\) |
−0.647771 | + | 0.761836i | \(0.724298\pi\) | |||||||
\(678\) | 4.10211 | − | 1.51844i | 0.157541 | − | 0.0583154i | ||||
\(679\) | −4.81393 | − | 15.0921i | −0.184742 | − | 0.579181i | ||||
\(680\) | −10.4851 | + | 18.1607i | −0.402086 | + | 0.696433i | ||||
\(681\) | −27.5619 | + | 33.2133i | −1.05617 | + | 1.27274i | ||||
\(682\) | −11.4404 | + | 11.4404i | −0.438075 | + | 0.438075i | ||||
\(683\) | 24.8855 | − | 24.8855i | 0.952217 | − | 0.952217i | −0.0466920 | − | 0.998909i | \(-0.514868\pi\) |
0.998909 | + | 0.0466920i | \(0.0148679\pi\) | |||||||
\(684\) | −2.57054 | + | 33.6001i | −0.0982870 | + | 1.28473i | ||||
\(685\) | 14.9655 | − | 25.9210i | 0.571802 | − | 0.990389i | ||||
\(686\) | −8.31441 | − | 6.24867i | −0.317446 | − | 0.238575i | ||||
\(687\) | 0.472120 | + | 1.27545i | 0.0180125 | + | 0.0486613i | ||||
\(688\) | 10.7243 | + | 6.19167i | 0.408859 | + | 0.236055i | ||||
\(689\) | 8.97464 | + | 4.86193i | 0.341907 | + | 0.185225i | ||||
\(690\) | 5.15135 | − | 11.2063i | 0.196109 | − | 0.426618i | ||||
\(691\) | 23.6749 | − | 23.6749i | 0.900637 | − | 0.900637i | −0.0948540 | − | 0.995491i | \(-0.530238\pi\) |
0.995491 | + | 0.0948540i | \(0.0302384\pi\) | |||||||
\(692\) | −16.7847 | + | 9.69068i | −0.638060 | + | 0.368384i | ||||
\(693\) | 17.0666 | + | 31.6744i | 0.648305 | + | 1.20321i | ||||
\(694\) | −12.2202 | + | 12.2202i | −0.463874 | + | 0.463874i | ||||
\(695\) | −0.956653 | + | 3.57028i | −0.0362879 | + | 0.135428i | ||||
\(696\) | −0.275311 | − | 0.0469975i | −0.0104356 | − | 0.00178144i | ||||
\(697\) | −2.56260 | + | 9.56376i | −0.0970655 | + | 0.362253i | ||||
\(698\) | 6.75884 | − | 3.90222i | 0.255826 | − | 0.147701i | ||||
\(699\) | −0.335930 | − | 0.154421i | −0.0127060 | − | 0.00584074i | ||||
\(700\) | 15.9176 | + | 24.8026i | 0.601628 | + | 0.937450i | ||||
\(701\) | 15.1881 | 0.573647 | 0.286823 | − | 0.957984i | \(-0.407401\pi\) | ||||
0.286823 | + | 0.957984i | \(0.407401\pi\) | |||||||
\(702\) | 10.5114 | − | 0.457381i | 0.396727 | − | 0.0172627i | ||||
\(703\) | −4.99713 | − | 8.65528i | −0.188470 | − | 0.326440i | ||||
\(704\) | −6.10438 | + | 1.63566i | −0.230067 | + | 0.0616464i | ||||
\(705\) | 53.4694 | − | 37.8760i | 2.01377 | − | 1.42649i | ||||
\(706\) | 15.9097 | + | 9.18546i | 0.598769 | + | 0.345699i | ||||
\(707\) | 9.30022 | − | 18.0120i | 0.349771 | − | 0.677411i | ||||
\(708\) | 2.94065 | − | 3.54361i | 0.110516 | − | 0.133177i | ||||
\(709\) | −10.3698 | + | 38.7006i | −0.389446 | + | 1.45343i | 0.441591 | + | 0.897216i | \(0.354414\pi\) |
−0.831037 | + | 0.556217i | \(0.812252\pi\) | |||||||
\(710\) | −23.2194 | − | 6.22163i | −0.871410 | − | 0.233494i | ||||
\(711\) | 10.1109 | − | 28.7518i | 0.379189 | − | 1.07828i | ||||
\(712\) | − | 15.4364i | − | 0.578503i | ||||||
\(713\) | 22.8429 | + | 6.12074i | 0.855473 | + | 0.229223i | ||||
\(714\) | 4.60563 | − | 6.11270i | 0.172361 | − | 0.228762i | ||||
\(715\) | 26.5294 | − | 48.9705i | 0.992141 | − | 1.83139i | ||||
\(716\) | 13.6276 | + | 7.86790i | 0.509287 | + | 0.294037i | ||||
\(717\) | 0.692821 | − | 0.834881i | 0.0258739 | − | 0.0311792i | ||||
\(718\) | 5.70615 | − | 9.88334i | 0.212952 | − | 0.368843i | ||||
\(719\) | 22.8854 | + | 39.6387i | 0.853483 | + | 1.47828i | 0.878045 | + | 0.478577i | \(0.158847\pi\) |
−0.0245625 | + | 0.999698i | \(0.507819\pi\) | |||||||
\(720\) | 20.3447 | − | 9.75853i | 0.758201 | − | 0.363679i | ||||
\(721\) | −13.2430 | − | 6.83780i | −0.493194 | − | 0.254653i | ||||
\(722\) | 3.70060 | + | 13.8108i | 0.137722 | + | 0.513986i | ||||
\(723\) | 9.05057 | − | 10.9063i | 0.336594 | − | 0.405611i | ||||
\(724\) | −25.1632 | −0.935182 | ||||||||
\(725\) | 0.257634 | − | 0.446236i | 0.00956830 | − | 0.0165728i | ||||
\(726\) | −1.56284 | + | 9.15509i | −0.0580023 | + | 0.339777i | ||||
\(727\) | 33.7767i | 1.25271i | 0.779538 | + | 0.626355i | \(0.215454\pi\) | ||||
−0.779538 | + | 0.626355i | \(0.784546\pi\) | |||||||
\(728\) | 19.3925 | + | 3.68357i | 0.718734 | + | 0.136522i | ||||
\(729\) | −22.9283 | + | 14.2580i | −0.849197 | + | 0.528076i | ||||
\(730\) | 4.20198 | − | 4.20198i | 0.155522 | − | 0.155522i | ||||
\(731\) | 14.4500 | + | 8.34268i | 0.534451 | + | 0.308565i | ||||
\(732\) | −9.88477 | − | 13.9543i | −0.365352 | − | 0.515764i | ||||
\(733\) | −0.224901 | − | 0.839342i | −0.00830691 | − | 0.0310018i | 0.961648 | − | 0.274287i | \(-0.0884417\pi\) |
−0.969955 | + | 0.243285i | \(0.921775\pi\) | |||||||
\(734\) | 12.7720 | − | 3.42224i | 0.471421 | − | 0.126317i | ||||
\(735\) | −17.9136 | − | 37.2302i | −0.660753 | − | 1.37326i | ||||
\(736\) | −14.1502 | − | 14.1502i | −0.521582 | − | 0.521582i | ||||
\(737\) | 26.5880 | − | 15.3506i | 0.979382 | − | 0.565447i | ||||
\(738\) | −4.25716 | + | 3.65207i | −0.156708 | + | 0.134435i | ||||
\(739\) | −23.5059 | + | 6.29839i | −0.864678 | + | 0.231690i | −0.663785 | − | 0.747923i | \(-0.731051\pi\) |
−0.200893 | + | 0.979613i | \(0.564384\pi\) | |||||||
\(740\) | −4.30224 | + | 7.45169i | −0.158153 | + | 0.273930i | ||||
\(741\) | −38.6448 | + | 15.5088i | −1.41965 | + | 0.569728i | ||||
\(742\) | 4.10953 | + | 0.896688i | 0.150866 | + | 0.0329185i | ||||
\(743\) | 11.4882 | − | 42.8747i | 0.421462 | − | 1.57292i | −0.350066 | − | 0.936725i | \(-0.613841\pi\) |
0.771529 | − | 0.636194i | \(-0.219492\pi\) | |||||||
\(744\) | −13.1667 | − | 18.5873i | −0.482715 | − | 0.681445i | ||||
\(745\) | 27.8171i | 1.01914i | ||||||||
\(746\) | −0.802329 | + | 2.99433i | −0.0293753 | + | 0.109630i | ||||
\(747\) | −19.2527 | − | 13.1702i | −0.704421 | − | 0.481873i | ||||
\(748\) | −21.9366 | + | 5.87790i | −0.802082 | + | 0.214917i | ||||
\(749\) | 0.300123 | + | 6.38507i | 0.0109662 | + | 0.233306i | ||||
\(750\) | −0.494771 | − | 5.32076i | −0.0180665 | − | 0.194287i | ||||
\(751\) | − | 39.6555i | − | 1.44705i | −0.690299 | − | 0.723525i | \(-0.742521\pi\) | ||
0.690299 | − | 0.723525i | \(-0.257479\pi\) | |||||||
\(752\) | −6.34201 | − | 23.6687i | −0.231269 | − | 0.863108i | ||||
\(753\) | −15.0230 | − | 6.90579i | −0.547467 | − | 0.251661i | ||||
\(754\) | −0.0449567 | − | 0.151250i | −0.00163723 | − | 0.00550820i | ||||
\(755\) | − | 54.8598i | − | 1.99655i | ||||||
\(756\) | −21.9463 | + | 7.39807i | −0.798179 | + | 0.269065i | ||||
\(757\) | −25.9265 | − | 44.9060i | −0.942315 | − | 1.63214i | −0.761040 | − | 0.648705i | \(-0.775311\pi\) |
−0.181276 | − | 0.983432i | \(-0.558023\pi\) | |||||||
\(758\) | −1.10973 | − | 1.92211i | −0.0403073 | − | 0.0698142i | ||||
\(759\) | 27.3981 | − | 10.1417i | 0.994487 | − | 0.368120i | ||||
\(760\) | 33.2458 | − | 33.2458i | 1.20595 | − | 1.20595i | ||||
\(761\) | −6.84207 | − | 1.83333i | −0.248025 | − | 0.0664580i | 0.132665 | − | 0.991161i | \(-0.457647\pi\) |
−0.380689 | + | 0.924703i | \(0.624313\pi\) | |||||||
\(762\) | 0.642539 | − | 3.76399i | 0.0232767 | − | 0.136355i | ||||
\(763\) | 36.4516 | + | 7.95364i | 1.31964 | + | 0.287941i | ||||
\(764\) | −3.36847 | − | 5.83436i | −0.121867 | − | 0.211080i | ||||
\(765\) | 27.4125 | − | 13.1487i | 0.991102 | − | 0.475392i | ||||
\(766\) | 18.1185 | − | 10.4607i | 0.654648 | − | 0.377961i | ||||
\(767\) | 5.53418 | + | 1.32315i | 0.199828 | + | 0.0477761i | ||||
\(768\) | 0.592053 | + | 6.36693i | 0.0213639 | + | 0.229747i | ||||
\(769\) | −48.7154 | − | 13.0533i | −1.75672 | − | 0.470712i | −0.770683 | − | 0.637219i | \(-0.780085\pi\) |
−0.986040 | + | 0.166507i | \(0.946751\pi\) | |||||||
\(770\) | 4.89282 | − | 22.4238i | 0.176325 | − | 0.808099i | ||||
\(771\) | −2.02523 | − | 21.7793i | −0.0729369 | − | 0.784362i | ||||
\(772\) | 7.07067 | + | 26.3881i | 0.254479 | + | 0.949728i | ||||
\(773\) | 8.40190 | + | 8.40190i | 0.302195 | + | 0.302195i | 0.841872 | − | 0.539677i | \(-0.181454\pi\) |
−0.539677 | + | 0.841872i | \(0.681454\pi\) | |||||||
\(774\) | 4.08795 | + | 8.52260i | 0.146938 | + | 0.306338i | ||||
\(775\) | 40.5918 | − | 10.8765i | 1.45810 | − | 0.390697i | ||||
\(776\) | 10.7295 | + | 6.19470i | 0.385168 | + | 0.222377i | ||||
\(777\) | 4.13334 | − | 5.48587i | 0.148283 | − | 0.196804i | ||||
\(778\) | 2.43296 | − | 9.07992i | 0.0872257 | − | 0.325531i | ||||
\(779\) | 11.0995 | − | 19.2249i | 0.397681 | − | 0.688803i | ||||
\(780\) | 28.1987 | + | 22.1374i | 1.00968 | + | 0.792645i | ||||
\(781\) | −28.4702 | − | 49.3119i | −1.01875 | − | 1.76452i | ||||
\(782\) | −4.39436 | − | 4.39436i | −0.157142 | − | 0.157142i | ||||
\(783\) | 0.290971 | + | 0.281599i | 0.0103985 | + | 0.0100635i | ||||
\(784\) | −15.3822 | + | 1.44924i | −0.549363 | + | 0.0517587i | ||||
\(785\) | −22.4035 | − | 22.4035i | −0.799614 | − | 0.799614i | ||||
\(786\) | −10.1452 | + | 3.75535i | −0.361866 | + | 0.133949i | ||||
\(787\) | 28.3986 | + | 28.3986i | 1.01230 | + | 1.01230i | 0.999923 | + | 0.0123764i | \(0.00393964\pi\) |
0.0123764 | + | 0.999923i | \(0.496060\pi\) | |||||||
\(788\) | 4.98146 | + | 1.33478i | 0.177457 | + | 0.0475495i | ||||
\(789\) | −22.6804 | + | 49.3392i | −0.807443 | + | 1.75652i | ||||
\(790\) | −16.8371 | + | 9.72090i | −0.599037 | + | 0.345854i | ||||
\(791\) | −10.5716 | − | 5.45851i | −0.375885 | − | 0.194082i | ||||
\(792\) | −26.5460 | − | 9.33522i | −0.943272 | − | 0.331713i | ||||
\(793\) | 10.0654 | − | 18.5797i | 0.357433 | − | 0.659786i | ||||
\(794\) | 2.27370 | − | 1.31272i | 0.0806906 | − | 0.0465867i | ||||
\(795\) | 12.8580 | + | 10.6702i | 0.456027 | + | 0.378432i | ||||
\(796\) | 14.4024 | 0.510481 | ||||||||
\(797\) | 5.98314 | − | 10.3631i | 0.211934 | − | 0.367080i | −0.740386 | − | 0.672182i | \(-0.765357\pi\) |
0.952320 | + | 0.305102i | \(0.0986906\pi\) | |||||||
\(798\) | −13.5214 | + | 10.5655i | −0.478653 | + | 0.374014i | ||||
\(799\) | −8.54525 | − | 31.8913i | −0.302309 | − | 1.12823i | ||||
\(800\) | −34.3485 | − | 9.20365i | −1.21440 | − | 0.325398i | ||||
\(801\) | −12.6358 | + | 18.4715i | −0.446463 | + | 0.652657i | ||||
\(802\) | −6.44205 | −0.227477 | ||||||||
\(803\) | 14.0761 | 0.496734 | ||||||||
\(804\) | 6.86021 | + | 18.5331i | 0.241941 | + | 0.653610i | ||||
\(805\) | −31.9611 | + | 10.1946i | −1.12648 | + | 0.359314i | ||||
\(806\) | 6.12987 | − | 11.3151i | 0.215915 | − | 0.398558i | ||||
\(807\) | −31.3215 | + | 2.91255i | −1.10257 | + | 0.102527i | ||||
\(808\) | 4.10336 | + | 15.3139i | 0.144356 | + | 0.538742i | ||||
\(809\) | 29.6819 | + | 17.1369i | 1.04356 | + | 0.602500i | 0.920840 | − | 0.389942i | \(-0.127505\pi\) |
0.122721 | + | 0.992441i | \(0.460838\pi\) | |||||||
\(810\) | 17.0229 | + | 2.61996i | 0.598122 | + | 0.0920561i | ||||
\(811\) | 13.0348 | − | 13.0348i | 0.457713 | − | 0.457713i | −0.440191 | − | 0.897904i | \(-0.645089\pi\) |
0.897904 | + | 0.440191i | \(0.145089\pi\) | |||||||
\(812\) | 0.187596 | + | 0.292310i | 0.00658333 | + | 0.0102581i | ||||
\(813\) | 17.6981 | − | 21.3270i | 0.620700 | − | 0.747971i | ||||
\(814\) | 3.68565 | − | 0.987566i | 0.129182 | − | 0.0346142i | ||||
\(815\) | 21.3394i | 0.747488i | ||||||||
\(816\) | −1.05268 | − | 11.3205i | −0.0368512 | − | 0.396297i | ||||
\(817\) | −26.4526 | − | 26.4526i | −0.925461 | − | 0.925461i | ||||
\(818\) | 19.2084 | 0.671607 | ||||||||
\(819\) | −20.1902 | − | 20.2819i | −0.705502 | − | 0.708708i | ||||
\(820\) | −19.1120 | −0.667421 | ||||||||
\(821\) | 23.8891 | + | 23.8891i | 0.833735 | + | 0.833735i | 0.988025 | − | 0.154291i | \(-0.0493093\pi\) |
−0.154291 | + | 0.988025i | \(0.549309\pi\) | |||||||
\(822\) | −0.791048 | − | 8.50692i | −0.0275910 | − | 0.296713i | ||||
\(823\) | 48.4392i | 1.68848i | 0.535961 | + | 0.844242i | \(0.319949\pi\) | ||||
−0.535961 | + | 0.844242i | \(0.680051\pi\) | |||||||
\(824\) | 11.2593 | − | 3.01691i | 0.392235 | − | 0.105099i | ||||
\(825\) | 33.1527 | − | 39.9505i | 1.15423 | − | 1.39090i | ||||
\(826\) | 2.34228 | − | 0.110096i | 0.0814985 | − | 0.00383074i | ||||
\(827\) | −20.1765 | + | 20.1765i | −0.701605 | + | 0.701605i | −0.964755 | − | 0.263150i | \(-0.915239\pi\) |
0.263150 | + | 0.964755i | \(0.415239\pi\) | |||||||
\(828\) | 3.46738 | + | 18.4828i | 0.120500 | + | 0.642323i | ||||
\(829\) | −36.0814 | − | 20.8316i | −1.25316 | − | 0.723512i | −0.281423 | − | 0.959584i | \(-0.590807\pi\) |
−0.971736 | + | 0.236072i | \(0.924140\pi\) | |||||||
\(830\) | 3.85121 | + | 14.3729i | 0.133677 | + | 0.498891i | ||||
\(831\) | −16.1535 | + | 1.50209i | −0.560359 | + | 0.0521071i | ||||
\(832\) | 4.28349 | − | 2.63046i | 0.148503 | − | 0.0911948i | ||||
\(833\) | −20.7260 | + | 1.95272i | −0.718114 | + | 0.0676576i | ||||
\(834\) | 0.366257 | + | 0.989453i | 0.0126824 | + | 0.0342620i | ||||
\(835\) | −83.9223 | −2.90425 | ||||||||
\(836\) | 50.9183 | 1.76105 | ||||||||
\(837\) | 0.540484 | + | 33.0198i | 0.0186819 | + | 1.14133i | ||||
\(838\) | −9.89114 | − | 2.65032i | −0.341684 | − | 0.0915538i | ||||
\(839\) | 0.811595 | + | 3.02891i | 0.0280194 | + | 0.104570i | 0.978519 | − | 0.206155i | \(-0.0660950\pi\) |
−0.950500 | + | 0.310724i | \(0.899428\pi\) | |||||||
\(840\) | 29.9608 | + | 12.1027i | 1.03375 | + | 0.417582i | ||||
\(841\) | −14.4970 | + | 25.1095i | −0.499895 | + | 0.865844i | ||||
\(842\) | 13.5099 | 0.465581 | ||||||||
\(843\) | 17.6792 | + | 14.6710i | 0.608904 | + | 0.505296i | ||||
\(844\) | 18.7451 | − | 10.8225i | 0.645234 | − | 0.372526i | ||||
\(845\) | −9.12906 | + | 43.3488i | −0.314049 | + | 1.49124i | ||||
\(846\) | 6.20493 | − | 17.6446i | 0.213330 | − | 0.606634i | ||||
\(847\) | 21.2605 | − | 13.6444i | 0.730520 | − | 0.468826i | ||||
\(848\) | 5.41122 | − | 3.12417i | 0.185822 | − | 0.107284i | ||||
\(849\) | 7.06709 | − | 15.3739i | 0.242542 | − | 0.527630i | ||||
\(850\) | −10.6670 | − | 2.85821i | −0.365874 | − | 0.0980357i | ||||
\(851\) | −3.94373 | − | 3.94373i | −0.135189 | − | 0.135189i | ||||
\(852\) | 34.3726 | − | 12.7234i | 1.17759 | − | 0.435897i | ||||
\(853\) | −11.1030 | − | 11.1030i | −0.380158 | − | 0.380158i | 0.491001 | − | 0.871159i | \(-0.336631\pi\) |
−0.871159 | + | 0.491001i | \(0.836631\pi\) | |||||||
\(854\) | 1.85637 | − | 8.50775i | 0.0635236 | − | 0.291129i | ||||
\(855\) | −66.9965 | + | 12.5685i | −2.29123 | + | 0.429834i | ||||
\(856\) | −3.53501 | − | 3.53501i | −0.120824 | − | 0.120824i | ||||
\(857\) | −17.9037 | − | 31.0101i | −0.611577 | − | 1.05928i | −0.990975 | − | 0.134049i | \(-0.957202\pi\) |
0.379397 | − | 0.925234i | \(-0.376131\pi\) | |||||||
\(858\) | −1.90064 | − | 15.7838i | −0.0648868 | − | 0.538849i | ||||
\(859\) | −11.7731 | + | 20.3916i | −0.401692 | + | 0.695751i | −0.993930 | − | 0.110012i | \(-0.964911\pi\) |
0.592238 | + | 0.805763i | \(0.298244\pi\) | |||||||
\(860\) | −8.33593 | + | 31.1101i | −0.284253 | + | 1.06085i | ||||
\(861\) | 15.1430 | + | 1.85833i | 0.516072 | + | 0.0633316i | ||||
\(862\) | −14.3380 | − | 8.27804i | −0.488354 | − | 0.281951i | ||||
\(863\) | −14.3250 | + | 3.83837i | −0.487628 | + | 0.130660i | −0.494252 | − | 0.869318i | \(-0.664558\pi\) |
0.00662411 | + | 0.999978i | \(0.497891\pi\) | |||||||
\(864\) | 13.5745 | − | 24.4264i | 0.461814 | − | 0.831004i | ||||
\(865\) | −27.7219 | − | 27.7219i | −0.942574 | − | 0.942574i | ||||
\(866\) | 2.53950 | + | 9.47753i | 0.0862956 | + | 0.322060i | ||||
\(867\) | 1.30789 | + | 14.0651i | 0.0444184 | + | 0.477674i | ||||
\(868\) | −6.03881 | + | 27.6759i | −0.204971 | + | 0.939382i | ||||
\(869\) | −44.4830 | − | 11.9192i | −1.50898 | − | 0.404330i | ||||
\(870\) | −0.0239158 | − | 0.257191i | −0.000810823 | − | 0.00871957i | ||||
\(871\) | −16.7928 | + | 17.7292i | −0.569001 | + | 0.600730i | ||||
\(872\) | −25.2702 | + | 14.5897i | −0.855756 | + | 0.494071i | ||||
\(873\) | −7.76836 | − | 16.1956i | −0.262919 | − | 0.548137i | ||||
\(874\) | 6.96672 | + | 12.0667i | 0.235653 | + | 0.408163i | ||||
\(875\) | −9.78388 | + | 10.7490i | −0.330756 | + | 0.363383i | ||||
\(876\) | −1.52465 | + | 8.93141i | −0.0515133 | + | 0.301764i | ||||
\(877\) | 45.5542 | + | 12.2062i | 1.53826 | + | 0.412174i | 0.925702 | − | 0.378254i | \(-0.123475\pi\) |
0.612554 | + | 0.790429i | \(0.290142\pi\) | |||||||
\(878\) | −6.50558 | + | 6.50558i | −0.219553 | + | 0.219553i | ||||
\(879\) | 35.7250 | − | 13.2240i | 1.20497 | − | 0.446035i | ||||
\(880\) | −17.0472 | − | 29.5266i | −0.574660 | − | 0.995340i | ||||
\(881\) | 1.74590 | + | 3.02399i | 0.0588209 | + | 0.101881i | 0.893936 | − | 0.448194i | \(-0.147933\pi\) |
−0.835115 | + | 0.550075i | \(0.814599\pi\) | |||||||
\(882\) | −10.3154 | − | 5.71618i | −0.347338 | − | 0.192474i | ||||
\(883\) | − | 52.2309i | − | 1.75771i | −0.477090 | − | 0.878855i | \(-0.658308\pi\) | ||
0.477090 | − | 0.878855i | \(-0.341692\pi\) | |||||||
\(884\) | 15.3931 | − | 9.45279i | 0.517726 | − | 0.317932i | ||||
\(885\) | 8.46335 | + | 3.89046i | 0.284493 | + | 0.130776i | ||||
\(886\) | 2.85377 | + | 10.6504i | 0.0958743 | + | 0.357808i | ||||
\(887\) | − | 1.47235i | − | 0.0494367i | −0.999694 | − | 0.0247183i | \(-0.992131\pi\) | ||
0.999694 | − | 0.0247183i | \(-0.00786889\pi\) | |||||||
\(888\) | 0.497390 | + | 5.34893i | 0.0166913 | + | 0.179498i | ||||
\(889\) | −8.74097 | + | 5.60969i | −0.293163 | + | 0.188143i | ||||
\(890\) | 13.7897 | − | 3.69493i | 0.462230 | − | 0.123854i | ||||
\(891\) | 24.1239 | + | 32.9005i | 0.808182 | + | 1.10221i | ||||
\(892\) | −5.18671 | + | 19.3571i | −0.173664 | + | 0.648122i | ||||
\(893\) | 74.0247i | 2.47714i | ||||||||
\(894\) | 4.58975 | + | 6.47932i | 0.153504 | + | 0.216701i | ||||
\(895\) | −8.23834 | + | 30.7459i | −0.275377 | + | 1.02772i | ||||
\(896\) | 20.5500 | − | 22.5771i | 0.686527 | − | 0.754249i | ||||
\(897\) | −18.5908 | + | 13.9413i | −0.620730 | + | 0.465487i | ||||
\(898\) | −3.35599 | + | 5.81275i | −0.111991 | + | 0.193974i | ||||
\(899\) | 0.478393 | − | 0.128185i | 0.0159553 | − | 0.00427521i | ||||
\(900\) | 21.7580 | + | 25.3630i | 0.725268 | + | 0.845432i | ||||
\(901\) | 7.29110 | − | 4.20952i | 0.242902 | − | 0.140239i | ||||
\(902\) | 5.99290 | + | 5.99290i | 0.199542 | + | 0.199542i | ||||
\(903\) | 9.62973 | − | 23.8389i | 0.320457 | − | 0.793309i | ||||
\(904\) | 8.98809 | − | 2.40835i | 0.298939 | − | 0.0801006i | ||||
\(905\) | −13.1740 | − | 49.1659i | −0.437917 | − | 1.63433i | ||||
\(906\) | −9.05172 | − | 12.7783i | −0.300723 | − | 0.424529i | ||||
\(907\) | 34.6454 | + | 20.0025i | 1.15038 | + | 0.664173i | 0.948980 | − | 0.315336i | \(-0.102117\pi\) |
0.201401 | + | 0.979509i | \(0.435451\pi\) | |||||||
\(908\) | −29.6830 | + | 29.6830i | −0.985063 | + | 0.985063i | ||||
\(909\) | 7.62537 | − | 21.6838i | 0.252918 | − | 0.719207i | ||||
\(910\) | 1.35127 | + | 18.2054i | 0.0447942 | + | 0.603505i | ||||
\(911\) | − | 40.8487i | − | 1.35338i | −0.736269 | − | 0.676689i | \(-0.763414\pi\) | ||
0.736269 | − | 0.676689i | \(-0.236586\pi\) | |||||||
\(912\) | −4.28942 | + | 25.1273i | −0.142037 | + | 0.832050i | ||||
\(913\) | −17.6232 | + | 30.5242i | −0.583242 | + | 1.01020i | ||||
\(914\) | 4.99012 | 0.165058 | ||||||||
\(915\) | 22.0899 | − | 26.6193i | 0.730269 | − | 0.880007i | ||||
\(916\) | 0.342360 | + | 1.27771i | 0.0113119 | + | 0.0422166i | ||||
\(917\) | 26.1454 | + | 13.4997i | 0.863396 | + | 0.445801i | ||||
\(918\) | 4.21558 | − | 7.58566i | 0.139135 | − | 0.250364i | ||||
\(919\) | −18.4596 | − | 31.9729i | −0.608926 | − | 1.05469i | −0.991418 | − | 0.130731i | \(-0.958267\pi\) |
0.382492 | − | 0.923959i | \(-0.375066\pi\) | |||||||
\(920\) | 13.1188 | − | 22.7224i | 0.432513 | − | 0.749134i | ||||
\(921\) | 20.7351 | − | 24.9867i | 0.683244 | − | 0.823340i | ||||
\(922\) | 12.9492 | + | 7.47625i | 0.426460 | + | 0.246217i | ||||
\(923\) | 32.8817 | + | 31.1450i | 1.08231 | + | 1.02515i | ||||
\(924\) | 13.6755 | + | 32.2116i | 0.449891 | + | 1.05968i | ||||
\(925\) | −9.57311 | − | 2.56511i | −0.314762 | − | 0.0843402i | ||||
\(926\) | − | 1.20810i | − | 0.0397006i | ||||||
\(927\) | −15.9426 | − | 5.60640i | −0.523624 | − | 0.184138i | ||||
\(928\) | −0.404813 | − | 0.108469i | −0.0132886 | − | 0.00356068i | ||||
\(929\) | 1.86510 | − | 6.96066i | 0.0611920 | − | 0.228372i | −0.928557 | − | 0.371190i | \(-0.878950\pi\) |
0.989749 | + | 0.142818i | \(0.0456165\pi\) | |||||||
\(930\) | 13.4528 | − | 16.2113i | 0.441136 | − | 0.531588i | ||||
\(931\) | 46.0188 | + | 7.79814i | 1.50821 | + | 0.255574i | ||||
\(932\) | −0.311421 | − | 0.179799i | −0.0102009 | − | 0.00588951i | ||||
\(933\) | 34.3157 | − | 24.3082i | 1.12345 | − | 0.795815i | ||||
\(934\) | −6.82287 | + | 1.82818i | −0.223251 | + | 0.0598200i | ||||
\(935\) | −22.9694 | − | 39.7842i | −0.751181 | − | 1.30108i | ||||
\(936\) | 22.3551 | + | 1.10158i | 0.730699 | + | 0.0360063i | ||||
\(937\) | −20.3231 | −0.663928 | −0.331964 | − | 0.943292i | \(-0.607711\pi\) | ||||
−0.331964 | + | 0.943292i | \(0.607711\pi\) | |||||||
\(938\) | −4.61685 | + | 8.94159i | −0.150745 | + | 0.291953i | ||||
\(939\) | 16.8333 | + | 7.73796i | 0.549333 | + | 0.252519i | ||||
\(940\) | 55.1926 | − | 31.8655i | 1.80018 | − | 1.03934i | ||||
\(941\) | 11.0104 | − | 41.0914i | 0.358929 | − | 1.33954i | −0.516539 | − | 0.856264i | \(-0.672780\pi\) |
0.875468 | − | 0.483276i | \(-0.160553\pi\) | |||||||
\(942\) | −8.91485 | − | 1.52183i | −0.290462 | − | 0.0495838i | ||||
\(943\) | 3.20628 | − | 11.9660i | 0.104411 | − | 0.389666i | ||||
\(944\) | 2.46307 | − | 2.46307i | 0.0801660 | − | 0.0801660i | ||||
\(945\) | −25.9447 | − | 39.0073i | −0.843983 | − | 1.26891i | ||||
\(946\) | 12.3690 | − | 7.14123i | 0.402150 | − | 0.232182i | ||||
\(947\) | −28.0164 | + | 28.0164i | −0.910410 | + | 0.910410i | −0.996304 | − | 0.0858945i | \(-0.972625\pi\) |
0.0858945 | + | 0.996304i | \(0.472625\pi\) | |||||||
\(948\) | 12.3810 | − | 26.9338i | 0.402116 | − | 0.874770i | ||||
\(949\) | −10.7320 | + | 3.18994i | −0.348377 | + | 0.103550i | ||||
\(950\) | 21.4425 | + | 12.3799i | 0.695688 | + | 0.401656i | ||||
\(951\) | 5.49265 | + | 14.8385i | 0.178111 | + | 0.481173i | ||||
\(952\) | 10.9595 | − | 12.0406i | 0.355201 | − | 0.390239i | ||||
\(953\) | −9.75016 | + | 16.8878i | −0.315839 | + | 0.547048i | −0.979615 | − | 0.200882i | \(-0.935619\pi\) |
0.663777 | + | 0.747931i | \(0.268952\pi\) | |||||||
\(954\) | 4.75551 | + | 0.363815i | 0.153965 | + | 0.0117789i | ||||
\(955\) | 9.63612 | − | 9.63612i | 0.311817 | − | 0.311817i | ||||
\(956\) | 0.746139 | − | 0.746139i | 0.0241318 | − | 0.0241318i | ||||
\(957\) | 0.390720 | − | 0.470835i | 0.0126302 | − | 0.0152199i | ||||
\(958\) | 3.84118 | − | 6.65313i | 0.124103 | − | 0.214953i | ||||
\(959\) | −15.6426 | + | 17.1857i | −0.505127 | + | 0.554955i | ||||
\(960\) | 7.71692 | − | 2.85650i | 0.249063 | − | 0.0921932i | ||||
\(961\) | 8.13426 | + | 4.69632i | 0.262396 | + | 0.151494i | ||||
\(962\) | −2.58625 | + | 1.58820i | −0.0833840 | + | 0.0512055i | ||||
\(963\) | 1.33641 | + | 7.12372i | 0.0430651 | + | 0.229559i | ||||
\(964\) | 9.74708 | − | 9.74708i | 0.313932 | − | 0.313932i | ||||
\(965\) | −47.8574 | + | 27.6305i | −1.54059 | + | 0.889457i | ||||
\(966\) | −5.76247 | + | 7.64809i | −0.185404 | + | 0.246073i | ||||
\(967\) | 14.5491 | − | 14.5491i | 0.467869 | − | 0.467869i | −0.433354 | − | 0.901224i | \(-0.642670\pi\) |
0.901224 | + | 0.433354i | \(0.142670\pi\) | |||||||
\(968\) | −5.11362 | + | 19.0843i | −0.164358 | + | 0.613392i | ||||
\(969\) | −5.77958 | + | 33.8567i | −0.185667 | + | 1.08763i | ||||
\(970\) | −2.96558 | + | 11.0677i | −0.0952191 | + | 0.355363i | ||||
\(971\) | 48.3453 | − | 27.9121i | 1.55147 | − | 0.895743i | 0.553451 | − | 0.832882i | \(-0.313311\pi\) |
0.998022 | − | 0.0628617i | \(-0.0200227\pi\) | |||||||
\(972\) | −23.4887 | + | 11.7432i | −0.753399 | + | 0.376665i | ||||
\(973\) | 1.31662 | − | 2.54994i | 0.0422090 | − | 0.0817474i | ||||
\(974\) | 4.23285 | 0.135629 | ||||||||
\(975\) | −16.2231 | + | 37.9726i | −0.519553 | + | 1.21610i | ||||
\(976\) | −6.46781 | − | 11.2026i | −0.207029 | − | 0.358585i | ||||
\(977\) | 4.36439 | − | 1.16943i | 0.139629 | − | 0.0374135i | −0.188328 | − | 0.982106i | \(-0.560307\pi\) |
0.327957 | + | 0.944693i | \(0.393640\pi\) | |||||||
\(978\) | 3.52095 | + | 4.97050i | 0.112587 | + | 0.158939i | ||||
\(979\) | 29.2856 | + | 16.9080i | 0.935970 | + | 0.540383i | ||||
\(980\) | −13.9955 | − | 37.6684i | −0.447069 | − | 1.20327i | ||||
\(981\) | 42.1815 | + | 3.22704i | 1.34675 | + | 0.103032i | ||||
\(982\) | −4.80183 | + | 17.9207i | −0.153233 | + | 0.571872i | ||||
\(983\) | 29.3716 | + | 7.87010i | 0.936809 | + | 0.251017i | 0.694756 | − | 0.719246i | \(-0.255512\pi\) |
0.242053 | + | 0.970263i | \(0.422179\pi\) | |||||||
\(984\) | −9.73676 | + | 6.89722i | −0.310397 | + | 0.219875i | ||||
\(985\) | 10.4320i | 0.332391i | ||||||||
\(986\) | −0.125715 | − | 0.0336853i | −0.00400359 | − | 0.00107276i | ||||
\(987\) | −46.8291 | + | 19.8814i | −1.49059 | + | 0.632831i | ||||
\(988\) | −38.8217 | + | 11.5392i | −1.23508 | + | 0.367109i | ||||
\(989\) | −18.0795 | − | 10.4382i | −0.574894 | − | 0.331915i | ||||
\(990\) | 1.98517 | − | 25.9486i | 0.0630929 | − | 0.824702i | ||||
\(991\) | 9.16702 | − | 15.8777i | 0.291200 | − | 0.504373i | −0.682894 | − | 0.730518i | \(-0.739279\pi\) |
0.974094 | + | 0.226144i | \(0.0726121\pi\) | |||||||
\(992\) | −17.0900 | − | 29.6007i | −0.542607 | − | 0.939824i | ||||
\(993\) | 6.96717 | − | 40.8136i | 0.221096 | − | 1.29518i | ||||
\(994\) | 16.5837 | + | 8.56271i | 0.526002 | + | 0.271593i | ||||
\(995\) | 7.54026 | + | 28.1407i | 0.239042 | + | 0.892119i | ||||
\(996\) | −17.4590 | − | 14.4883i | −0.553211 | − | 0.459079i | ||||
\(997\) | −2.21851 | −0.0702608 | −0.0351304 | − | 0.999383i | \(-0.511185\pi\) | ||||
−0.0351304 | + | 0.999383i | \(0.511185\pi\) | |||||||
\(998\) | 4.76892 | − | 8.26002i | 0.150958 | − | 0.261466i | ||||
\(999\) | 3.78328 | − | 6.80777i | 0.119698 | − | 0.215388i |
(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 | 273.2.bv.b.2.19 | yes | 128 | |
3.2 | odd | 2 | inner | 273.2.bv.b.2.14 | ✓ | 128 | |
7.4 | even | 3 | 273.2.bw.b.158.14 | yes | 128 | ||
13.7 | odd | 12 | 273.2.bw.b.254.19 | yes | 128 | ||
21.11 | odd | 6 | 273.2.bw.b.158.19 | yes | 128 | ||
39.20 | even | 12 | 273.2.bw.b.254.14 | yes | 128 | ||
91.46 | odd | 12 | inner | 273.2.bv.b.137.14 | yes | 128 | |
273.137 | even | 12 | inner | 273.2.bv.b.137.19 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bv.b.2.14 | ✓ | 128 | 3.2 | odd | 2 | inner | |
273.2.bv.b.2.19 | yes | 128 | 1.1 | even | 1 | trivial | |
273.2.bv.b.137.14 | yes | 128 | 91.46 | odd | 12 | inner | |
273.2.bv.b.137.19 | yes | 128 | 273.137 | even | 12 | inner | |
273.2.bw.b.158.14 | yes | 128 | 7.4 | even | 3 | ||
273.2.bw.b.158.19 | yes | 128 | 21.11 | odd | 6 | ||
273.2.bw.b.254.14 | yes | 128 | 39.20 | even | 12 | ||
273.2.bw.b.254.19 | yes | 128 | 13.7 | odd | 12 |