Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.23 | ||
Character | \(\chi\) | \(=\) | 570.557 |
Dual form | 570.2.bi.a.263.23 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | − | 0.996195i | 0.0616284 | − | 0.704416i | ||||
\(3\) | −1.66215 | − | 0.487090i | −0.959643 | − | 0.281221i | ||||
\(4\) | −0.984808 | − | 0.173648i | −0.492404 | − | 0.0868241i | ||||
\(5\) | 2.04009 | − | 0.915434i | 0.912357 | − | 0.409395i | ||||
\(6\) | −0.630102 | + | 1.61337i | −0.257238 | + | 0.658657i | ||||
\(7\) | −0.956140 | + | 0.256197i | −0.361387 | + | 0.0968333i | −0.434944 | − | 0.900458i | \(-0.643232\pi\) |
0.0735567 | + | 0.997291i | \(0.476565\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 2.52549 | + | 1.61923i | 0.841829 | + | 0.539744i | ||||
\(10\) | −0.734145 | − | 2.11212i | −0.232157 | − | 0.667910i | ||||
\(11\) | 1.68727 | − | 0.974147i | 0.508732 | − | 0.293716i | −0.223580 | − | 0.974685i | \(-0.571775\pi\) |
0.732312 | + | 0.680969i | \(0.238441\pi\) | |||||||
\(12\) | 1.55232 | + | 0.768319i | 0.448115 | + | 0.221795i | ||||
\(13\) | 2.53459 | − | 5.43545i | 0.702969 | − | 1.50752i | −0.151743 | − | 0.988420i | \(-0.548489\pi\) |
0.854712 | − | 0.519102i | \(-0.173734\pi\) | |||||||
\(14\) | 0.171889 | + | 0.974830i | 0.0459392 | + | 0.260534i | ||||
\(15\) | −3.83684 | + | 0.527881i | −0.990668 | + | 0.136298i | ||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | 0.249112 | − | 2.84737i | 0.0604186 | − | 0.690588i | −0.904230 | − | 0.427047i | \(-0.859554\pi\) |
0.964648 | − | 0.263541i | \(-0.0848905\pi\) | |||||||
\(18\) | 1.83318 | − | 2.37475i | 0.432085 | − | 0.559734i | ||||
\(19\) | −4.19757 | + | 1.17490i | −0.962989 | + | 0.269540i | ||||
\(20\) | −2.16806 | + | 0.547268i | −0.484794 | + | 0.122373i | ||||
\(21\) | 1.71404 | + | 0.0398880i | 0.374034 | + | 0.00870427i | ||||
\(22\) | −0.823385 | − | 1.76575i | −0.175546 | − | 0.376460i | ||||
\(23\) | −2.28307 | + | 1.59862i | −0.476053 | + | 0.333336i | −0.786854 | − | 0.617139i | \(-0.788292\pi\) |
0.310801 | + | 0.950475i | \(0.399403\pi\) | |||||||
\(24\) | 0.900689 | − | 1.47945i | 0.183852 | − | 0.301991i | ||||
\(25\) | 3.32396 | − | 3.73514i | 0.664792 | − | 0.747028i | ||||
\(26\) | −5.19386 | − | 2.99868i | −1.01860 | − | 0.588089i | ||||
\(27\) | −3.40903 | − | 3.92155i | −0.656068 | − | 0.754702i | ||||
\(28\) | 0.986102 | − | 0.0862727i | 0.186356 | − | 0.0163040i | ||||
\(29\) | −0.831703 | − | 0.697882i | −0.154443 | − | 0.129593i | 0.562292 | − | 0.826939i | \(-0.309920\pi\) |
−0.716735 | + | 0.697346i | \(0.754364\pi\) | |||||||
\(30\) | 0.191470 | + | 3.86825i | 0.0349574 | + | 0.706242i | ||||
\(31\) | 0.207050 | − | 0.358622i | 0.0371873 | − | 0.0644104i | −0.846833 | − | 0.531859i | \(-0.821494\pi\) |
0.884020 | + | 0.467449i | \(0.154827\pi\) | |||||||
\(32\) | 0.422618 | − | 0.906308i | 0.0747091 | − | 0.160214i | ||||
\(33\) | −3.27900 | + | 0.797326i | −0.570800 | + | 0.138797i | ||||
\(34\) | −2.81482 | − | 0.496329i | −0.482738 | − | 0.0851197i | ||||
\(35\) | −1.71608 | + | 1.39795i | −0.290071 | + | 0.236296i | ||||
\(36\) | −2.20594 | − | 2.03318i | −0.367657 | − | 0.338863i | ||||
\(37\) | −6.98105 | − | 6.98105i | −1.14768 | − | 1.14768i | −0.987008 | − | 0.160670i | \(-0.948634\pi\) |
−0.160670 | − | 0.987008i | \(-0.551366\pi\) | |||||||
\(38\) | 0.804584 | + | 4.28400i | 0.130521 | + | 0.694956i | ||||
\(39\) | −6.86042 | + | 7.79996i | −1.09855 | + | 1.24899i | ||||
\(40\) | 0.356226 | + | 2.20751i | 0.0563243 | + | 0.349038i | ||||
\(41\) | 0.231277 | − | 0.635428i | 0.0361194 | − | 0.0992372i | −0.920322 | − | 0.391162i | \(-0.872073\pi\) |
0.956441 | + | 0.291924i | \(0.0942956\pi\) | |||||||
\(42\) | 0.189124 | − | 1.70404i | 0.0291825 | − | 0.262939i | ||||
\(43\) | −0.540510 | − | 0.378469i | −0.0824270 | − | 0.0577160i | 0.531637 | − | 0.846973i | \(-0.321577\pi\) |
−0.614064 | + | 0.789257i | \(0.710466\pi\) | |||||||
\(44\) | −1.83080 | + | 0.666356i | −0.276003 | + | 0.100457i | ||||
\(45\) | 6.63453 | + | 0.991467i | 0.989017 | + | 0.147799i | ||||
\(46\) | 1.39356 | + | 2.41371i | 0.205469 | + | 0.355882i | ||||
\(47\) | 9.29672 | − | 0.813358i | 1.35607 | − | 0.118640i | 0.614180 | − | 0.789166i | \(-0.289487\pi\) |
0.741886 | + | 0.670526i | \(0.233931\pi\) | |||||||
\(48\) | −1.39532 | − | 1.02620i | −0.201397 | − | 0.148120i | ||||
\(49\) | −5.21361 | + | 3.01008i | −0.744802 | + | 0.430011i | ||||
\(50\) | −3.43123 | − | 3.63685i | −0.485249 | − | 0.514328i | ||||
\(51\) | −1.80099 | + | 4.61141i | −0.252188 | + | 0.645727i | ||||
\(52\) | −3.43994 | + | 4.91274i | −0.477034 | + | 0.681275i | ||||
\(53\) | −7.05061 | + | 4.93689i | −0.968476 | + | 0.678134i | −0.946865 | − | 0.321632i | \(-0.895768\pi\) |
−0.0216112 | + | 0.999766i | \(0.506880\pi\) | |||||||
\(54\) | −4.20374 | + | 3.05427i | −0.572057 | + | 0.415634i | ||||
\(55\) | 2.55043 | − | 3.53194i | 0.343899 | − | 0.476246i | ||||
\(56\) | − | 0.989869i | − | 0.132277i | ||||||
\(57\) | 7.54928 | + | 0.0917376i | 0.999926 | + | 0.0121509i | ||||
\(58\) | −0.767714 | + | 0.767714i | −0.100806 | + | 0.100806i | ||||
\(59\) | −0.996800 | + | 0.836415i | −0.129772 | + | 0.108892i | −0.705364 | − | 0.708846i | \(-0.749216\pi\) |
0.575591 | + | 0.817737i | \(0.304772\pi\) | |||||||
\(60\) | 3.87022 | + | 0.146399i | 0.499643 | + | 0.0189000i | ||||
\(61\) | 1.19209 | − | 6.76066i | 0.152631 | − | 0.865613i | −0.808289 | − | 0.588786i | \(-0.799606\pi\) |
0.960920 | − | 0.276827i | \(-0.0892829\pi\) | |||||||
\(62\) | −0.339211 | − | 0.237518i | −0.0430799 | − | 0.0301649i | ||||
\(63\) | −2.82956 | − | 0.901190i | −0.356491 | − | 0.113539i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 0.195008 | − | 13.4091i | 0.0241877 | − | 1.66319i | ||||
\(66\) | 0.508509 | + | 3.33601i | 0.0625931 | + | 0.410635i | ||||
\(67\) | −1.15572 | − | 13.2100i | −0.141194 | − | 1.61386i | −0.654782 | − | 0.755818i | \(-0.727239\pi\) |
0.513588 | − | 0.858037i | \(-0.328316\pi\) | |||||||
\(68\) | −0.739768 | + | 2.76085i | −0.0897100 | + | 0.334802i | ||||
\(69\) | 4.57347 | − | 1.54509i | 0.550582 | − | 0.186007i | ||||
\(70\) | 1.24306 | + | 1.83139i | 0.148574 | + | 0.218893i | ||||
\(71\) | 8.83250 | − | 1.55741i | 1.04822 | − | 0.184830i | 0.377098 | − | 0.926173i | \(-0.376922\pi\) |
0.671126 | + | 0.741343i | \(0.265811\pi\) | |||||||
\(72\) | −2.21770 | + | 2.02035i | −0.261359 | + | 0.238100i | ||||
\(73\) | 5.75154 | − | 2.68199i | 0.673167 | − | 0.313903i | −0.0558096 | − | 0.998441i | \(-0.517774\pi\) |
0.728977 | + | 0.684538i | \(0.239996\pi\) | |||||||
\(74\) | −7.56293 | + | 6.34605i | −0.879173 | + | 0.737713i | ||||
\(75\) | −7.34427 | + | 4.58930i | −0.848043 | + | 0.529927i | ||||
\(76\) | 4.33782 | − | 0.428147i | 0.497582 | − | 0.0491119i | ||||
\(77\) | −1.36369 | + | 1.36369i | −0.155407 | + | 0.155407i | ||||
\(78\) | 7.17235 | + | 7.51413i | 0.812109 | + | 0.850807i | ||||
\(79\) | −3.54991 | + | 9.75331i | −0.399396 | + | 1.09733i | 0.563183 | + | 0.826332i | \(0.309577\pi\) |
−0.962579 | + | 0.271000i | \(0.912646\pi\) | |||||||
\(80\) | 2.23016 | − | 0.162474i | 0.249339 | − | 0.0181651i | ||||
\(81\) | 3.75617 | + | 8.17870i | 0.417353 | + | 0.908745i | ||||
\(82\) | −0.612853 | − | 0.285778i | −0.0676783 | − | 0.0315589i | ||||
\(83\) | 6.81831 | − | 1.82696i | 0.748407 | − | 0.200535i | 0.135596 | − | 0.990764i | \(-0.456705\pi\) |
0.612811 | + | 0.790229i | \(0.290039\pi\) | |||||||
\(84\) | −1.68107 | − | 0.336922i | −0.183420 | − | 0.0367612i | ||||
\(85\) | −2.09836 | − | 6.03694i | −0.227600 | − | 0.654798i | ||||
\(86\) | −0.424137 | + | 0.505467i | −0.0457359 | + | 0.0545059i | ||||
\(87\) | 1.04249 | + | 1.56510i | 0.111766 | + | 0.167796i | ||||
\(88\) | 0.504256 | + | 1.88191i | 0.0537538 | + | 0.200612i | ||||
\(89\) | 15.9299 | − | 5.79801i | 1.68857 | − | 0.614588i | 0.694123 | − | 0.719856i | \(-0.255792\pi\) |
0.994444 | + | 0.105268i | \(0.0335700\pi\) | |||||||
\(90\) | 1.56593 | − | 6.52287i | 0.165064 | − | 0.687571i | ||||
\(91\) | −1.03088 | + | 5.84640i | −0.108065 | + | 0.612869i | ||||
\(92\) | 2.52598 | − | 1.17788i | 0.263352 | − | 0.122803i | ||||
\(93\) | −0.518830 | + | 0.495231i | −0.0538001 | + | 0.0513531i | ||||
\(94\) | − | 9.33223i | − | 0.962547i | ||||||
\(95\) | −7.48790 | + | 6.23950i | −0.768242 | + | 0.640159i | ||||
\(96\) | −1.14391 | + | 1.30057i | −0.116750 | + | 0.132739i | ||||
\(97\) | −10.1176 | − | 0.885172i | −1.02728 | − | 0.0898756i | −0.438964 | − | 0.898505i | \(-0.644654\pi\) |
−0.588319 | + | 0.808629i | \(0.700210\pi\) | |||||||
\(98\) | 2.54423 | + | 5.45612i | 0.257006 | + | 0.551151i | ||||
\(99\) | 5.83856 | + | 0.271889i | 0.586797 | + | 0.0273259i | ||||
\(100\) | −3.92206 | + | 3.10120i | −0.392206 | + | 0.310120i | ||||
\(101\) | 5.27281 | + | 14.4869i | 0.524664 | + | 1.44150i | 0.865275 | + | 0.501298i | \(0.167144\pi\) |
−0.340611 | + | 0.940204i | \(0.610634\pi\) | |||||||
\(102\) | 4.43690 | + | 2.19604i | 0.439318 | + | 0.217441i | ||||
\(103\) | 0.0930424 | + | 0.0249306i | 0.00916774 | + | 0.00245649i | 0.263400 | − | 0.964687i | \(-0.415156\pi\) |
−0.254232 | + | 0.967143i | \(0.581823\pi\) | |||||||
\(104\) | 4.59424 | + | 3.85502i | 0.450502 | + | 0.378016i | ||||
\(105\) | 3.53331 | − | 1.48771i | 0.344816 | − | 0.145186i | ||||
\(106\) | 4.30360 | + | 7.45406i | 0.418003 | + | 0.724002i | ||||
\(107\) | −1.51693 | − | 5.66126i | −0.146647 | − | 0.547295i | −0.999677 | − | 0.0254320i | \(-0.991904\pi\) |
0.853029 | − | 0.521863i | \(-0.174763\pi\) | |||||||
\(108\) | 2.67627 | + | 4.45394i | 0.257524 | + | 0.428581i | ||||
\(109\) | 10.3517 | − | 1.82529i | 0.991518 | − | 0.174831i | 0.345718 | − | 0.938338i | \(-0.387635\pi\) |
0.645799 | + | 0.763507i | \(0.276524\pi\) | |||||||
\(110\) | −3.29621 | − | 2.84855i | −0.314282 | − | 0.271598i | ||||
\(111\) | 8.20316 | + | 15.0040i | 0.778610 | + | 1.42411i | ||||
\(112\) | −0.986102 | − | 0.0862727i | −0.0931779 | − | 0.00815201i | ||||
\(113\) | 9.80637 | + | 9.80637i | 0.922506 | + | 0.922506i | 0.997206 | − | 0.0747004i | \(-0.0238000\pi\) |
−0.0747004 | + | 0.997206i | \(0.523800\pi\) | |||||||
\(114\) | 0.749351 | − | 7.51255i | 0.0701832 | − | 0.703615i | ||||
\(115\) | −3.19424 | + | 5.35134i | −0.297864 | + | 0.499015i | ||||
\(116\) | 0.697882 | + | 0.831703i | 0.0647967 | + | 0.0772217i | ||||
\(117\) | 15.2023 | − | 9.62307i | 1.40546 | − | 0.889653i | ||||
\(118\) | 0.746355 | + | 1.06591i | 0.0687075 | + | 0.0981245i | ||||
\(119\) | 0.491300 | + | 2.78630i | 0.0450374 | + | 0.255420i | ||||
\(120\) | 0.483153 | − | 3.84273i | 0.0441057 | − | 0.350792i | ||||
\(121\) | −3.60207 | + | 6.23898i | −0.327461 | + | 0.567180i | ||||
\(122\) | −6.63103 | − | 1.77678i | −0.600346 | − | 0.160862i | ||||
\(123\) | −0.693927 | + | 0.943524i | −0.0625693 | + | 0.0850747i | ||||
\(124\) | −0.266179 | + | 0.317220i | −0.0239036 | + | 0.0284872i | ||||
\(125\) | 3.36191 | − | 10.6629i | 0.300699 | − | 0.953719i | ||||
\(126\) | −1.14437 | + | 2.74025i | −0.101949 | + | 0.244121i | ||||
\(127\) | 13.0867 | + | 6.10243i | 1.16126 | + | 0.541503i | 0.905128 | − | 0.425140i | \(-0.139775\pi\) |
0.256129 | + | 0.966643i | \(0.417553\pi\) | |||||||
\(128\) | −0.573576 | + | 0.819152i | −0.0506975 | + | 0.0724035i | ||||
\(129\) | 0.714060 | + | 0.892349i | 0.0628695 | + | 0.0785670i | ||||
\(130\) | −13.3411 | − | 1.36294i | −1.17009 | − | 0.119538i | ||||
\(131\) | 1.84166 | + | 2.19480i | 0.160906 | + | 0.191761i | 0.840474 | − | 0.541853i | \(-0.182277\pi\) |
−0.679567 | + | 0.733613i | \(0.737832\pi\) | |||||||
\(132\) | 3.36764 | − | 0.215821i | 0.293115 | − | 0.0187848i | ||||
\(133\) | 3.71246 | − | 2.19877i | 0.321911 | − | 0.190658i | ||||
\(134\) | −13.2604 | −1.14553 | ||||||||
\(135\) | −10.5447 | − | 4.87958i | −0.907539 | − | 0.419967i | ||||
\(136\) | 2.68587 | + | 0.977577i | 0.230312 | + | 0.0838265i | ||||
\(137\) | 6.76863 | + | 9.66661i | 0.578283 | + | 0.825874i | 0.996597 | − | 0.0824285i | \(-0.0262676\pi\) |
−0.418314 | + | 0.908303i | \(0.637379\pi\) | |||||||
\(138\) | −1.14061 | − | 4.69073i | −0.0970949 | − | 0.399302i | ||||
\(139\) | 1.70250 | + | 4.67758i | 0.144404 | + | 0.396747i | 0.990717 | − | 0.135939i | \(-0.0434050\pi\) |
−0.846313 | + | 0.532686i | \(0.821183\pi\) | |||||||
\(140\) | 1.93276 | − | 1.07872i | 0.163348 | − | 0.0911681i | ||||
\(141\) | −15.8487 | − | 3.17641i | −1.33470 | − | 0.267502i | ||||
\(142\) | −0.781678 | − | 8.93462i | −0.0655970 | − | 0.749777i | ||||
\(143\) | −1.01838 | − | 11.6401i | −0.0851613 | − | 0.973398i | ||||
\(144\) | 1.81937 | + | 2.38535i | 0.151614 | + | 0.198779i | ||||
\(145\) | −2.33562 | − | 0.662375i | −0.193962 | − | 0.0550072i | ||||
\(146\) | −2.17050 | − | 5.96341i | −0.179632 | − | 0.493535i | ||||
\(147\) | 10.1320 | − | 2.46371i | 0.835672 | − | 0.203203i | ||||
\(148\) | 5.66275 | + | 8.08724i | 0.465475 | + | 0.664767i | ||||
\(149\) | 8.46674 | + | 3.08164i | 0.693622 | + | 0.252458i | 0.664685 | − | 0.747123i | \(-0.268566\pi\) |
0.0289370 | + | 0.999581i | \(0.490788\pi\) | |||||||
\(150\) | 3.93174 | + | 7.71631i | 0.321025 | + | 0.630034i | ||||
\(151\) | −18.9891 | −1.54531 | −0.772656 | − | 0.634824i | \(-0.781072\pi\) | ||||
−0.772656 | + | 0.634824i | \(0.781072\pi\) | |||||||
\(152\) | −0.0484520 | − | 4.35863i | −0.00392998 | − | 0.353532i | ||||
\(153\) | 5.23968 | − | 6.78762i | 0.423603 | − | 0.548747i | ||||
\(154\) | 1.23965 | + | 1.47736i | 0.0998940 | + | 0.119049i | ||||
\(155\) | 0.0941075 | − | 0.921163i | 0.00755889 | − | 0.0739896i | ||||
\(156\) | 8.11064 | − | 6.49016i | 0.649371 | − | 0.519629i | ||||
\(157\) | −6.89192 | + | 9.84268i | −0.550035 | + | 0.785531i | −0.993867 | − | 0.110579i | \(-0.964730\pi\) |
0.443833 | + | 0.896110i | \(0.353619\pi\) | |||||||
\(158\) | 9.40680 | + | 4.38646i | 0.748365 | + | 0.348968i | ||||
\(159\) | 14.1239 | − | 4.77158i | 1.12010 | − | 0.378411i | ||||
\(160\) | 0.0325156 | − | 2.23583i | 0.00257059 | − | 0.176758i | ||||
\(161\) | 1.77337 | − | 2.11342i | 0.139761 | − | 0.166561i | ||||
\(162\) | 8.47495 | − | 3.02906i | 0.665855 | − | 0.237985i | ||||
\(163\) | 4.87656 | + | 1.30667i | 0.381962 | + | 0.102346i | 0.444691 | − | 0.895684i | \(-0.353314\pi\) |
−0.0627289 | + | 0.998031i | \(0.519980\pi\) | |||||||
\(164\) | −0.338104 | + | 0.585614i | −0.0264015 | + | 0.0457287i | ||||
\(165\) | −5.95956 | + | 4.62833i | −0.463951 | + | 0.360315i | ||||
\(166\) | −1.22575 | − | 6.95160i | −0.0951370 | − | 0.539549i | ||||
\(167\) | −9.62203 | − | 13.7417i | −0.744575 | − | 1.06336i | −0.995445 | − | 0.0953423i | \(-0.969605\pi\) |
0.250870 | − | 0.968021i | \(-0.419283\pi\) | |||||||
\(168\) | −0.482155 | + | 1.64531i | −0.0371990 | + | 0.126938i | ||||
\(169\) | −14.7637 | − | 17.5947i | −1.13567 | − | 1.35344i | ||||
\(170\) | −6.19685 | + | 1.56423i | −0.475277 | + | 0.119971i | ||||
\(171\) | −12.5033 | − | 3.82966i | −0.956155 | − | 0.292861i | ||||
\(172\) | 0.466578 | + | 0.466578i | 0.0355762 | + | 0.0355762i | ||||
\(173\) | 14.1724 | + | 1.23993i | 1.07751 | + | 0.0942698i | 0.612065 | − | 0.790807i | \(-0.290339\pi\) |
0.465444 | + | 0.885077i | \(0.345895\pi\) | |||||||
\(174\) | 1.65000 | − | 0.902111i | 0.125086 | − | 0.0683888i | ||||
\(175\) | −2.22124 | + | 4.42291i | −0.167910 | + | 0.334340i | ||||
\(176\) | 1.91870 | − | 0.338318i | 0.144627 | − | 0.0255017i | ||||
\(177\) | 2.06424 | − | 0.904716i | 0.155158 | − | 0.0680026i | ||||
\(178\) | −4.38757 | − | 16.3746i | −0.328862 | − | 1.22733i | ||||
\(179\) | −11.9567 | − | 20.7095i | −0.893682 | − | 1.54790i | −0.835427 | − | 0.549601i | \(-0.814780\pi\) |
−0.0582551 | − | 0.998302i | \(-0.518554\pi\) | |||||||
\(180\) | −6.36157 | − | 2.12848i | −0.474163 | − | 0.158647i | ||||
\(181\) | 13.2459 | + | 11.1147i | 0.984563 | + | 0.826147i | 0.984772 | − | 0.173853i | \(-0.0556219\pi\) |
−0.000208366 | 1.00000i | \(0.500066\pi\) | ||||||||
\(182\) | 5.73431 | + | 1.53650i | 0.425055 | + | 0.113893i | ||||
\(183\) | −5.27447 | + | 10.6566i | −0.389900 | + | 0.787757i | ||||
\(184\) | −0.953248 | − | 2.61903i | −0.0702744 | − | 0.193077i | ||||
\(185\) | −20.6327 | − | 7.85131i | −1.51695 | − | 0.577240i | ||||
\(186\) | 0.448128 | + | 0.560018i | 0.0328583 | + | 0.0410625i | ||||
\(187\) | −2.35343 | − | 5.04696i | −0.172100 | − | 0.369070i | ||||
\(188\) | −9.29672 | − | 0.813358i | −0.678033 | − | 0.0593202i | ||||
\(189\) | 4.26420 | + | 2.87616i | 0.310175 | + | 0.209210i | ||||
\(190\) | 5.56314 | + | 8.00321i | 0.403593 | + | 0.580614i | ||||
\(191\) | 1.77826i | 0.128671i | 0.997928 | + | 0.0643354i | \(0.0204927\pi\) | ||||
−0.997928 | + | 0.0643354i | \(0.979507\pi\) | |||||||
\(192\) | 1.19592 | + | 1.25291i | 0.0863081 | + | 0.0904208i | ||||
\(193\) | −6.51188 | + | 3.03654i | −0.468735 | + | 0.218575i | −0.642611 | − | 0.766193i | \(-0.722149\pi\) |
0.173876 | + | 0.984768i | \(0.444371\pi\) | |||||||
\(194\) | −1.76361 | + | 10.0019i | −0.126620 | + | 0.718096i | ||||
\(195\) | −6.85555 | + | 22.1929i | −0.490936 | + | 1.58927i | ||||
\(196\) | 5.65710 | − | 2.05902i | 0.404079 | − | 0.147073i | ||||
\(197\) | −0.610076 | − | 2.27684i | −0.0434661 | − | 0.162218i | 0.940781 | − | 0.339014i | \(-0.110093\pi\) |
−0.984248 | + | 0.176796i | \(0.943427\pi\) | |||||||
\(198\) | 0.779718 | − | 5.79264i | 0.0554122 | − | 0.411665i | ||||
\(199\) | −4.03872 | + | 4.81316i | −0.286298 | + | 0.341196i | −0.889956 | − | 0.456047i | \(-0.849265\pi\) |
0.603658 | + | 0.797243i | \(0.293709\pi\) | |||||||
\(200\) | 2.74757 | + | 4.17743i | 0.194282 | + | 0.295389i | ||||
\(201\) | −4.51346 | + | 22.5199i | −0.318355 | + | 1.58843i | ||||
\(202\) | 14.8914 | − | 3.99013i | 1.04775 | − | 0.280744i | ||||
\(203\) | 0.974020 | + | 0.454193i | 0.0683628 | + | 0.0318781i | ||||
\(204\) | 2.57439 | − | 4.22862i | 0.180243 | − | 0.296062i | ||||
\(205\) | −0.109866 | − | 1.50805i | −0.00767338 | − | 0.105327i | ||||
\(206\) | 0.0329449 | − | 0.0905155i | 0.00229538 | − | 0.00630651i | ||||
\(207\) | −8.35440 | + | 0.340482i | −0.580671 | + | 0.0236651i | ||||
\(208\) | 4.24077 | − | 4.24077i | 0.294044 | − | 0.294044i | ||||
\(209\) | −5.93793 | + | 6.07143i | −0.410735 | + | 0.419969i | ||||
\(210\) | −1.17410 | − | 3.64953i | −0.0810209 | − | 0.251842i | ||||
\(211\) | 11.3522 | − | 9.52562i | 0.781517 | − | 0.655770i | −0.162113 | − | 0.986772i | \(-0.551831\pi\) |
0.943630 | + | 0.331002i | \(0.107387\pi\) | |||||||
\(212\) | 7.80078 | − | 3.63756i | 0.535760 | − | 0.249829i | ||||
\(213\) | −15.4395 | − | 1.71357i | −1.05790 | − | 0.117412i | ||||
\(214\) | −5.77193 | + | 1.01775i | −0.394561 | + | 0.0695717i | ||||
\(215\) | −1.44915 | − | 0.277311i | −0.0988315 | − | 0.0189125i | ||||
\(216\) | 4.67024 | − | 2.27790i | 0.317770 | − | 0.154991i | ||||
\(217\) | −0.106091 | + | 0.395938i | −0.00720195 | + | 0.0268780i | ||||
\(218\) | −0.916132 | − | 10.4714i | −0.0620483 | − | 0.709216i | ||||
\(219\) | −10.8663 | + | 1.65635i | −0.734276 | + | 0.111926i | ||||
\(220\) | −3.12499 | + | 3.03540i | −0.210687 | + | 0.204647i | ||||
\(221\) | −14.8453 | − | 8.57095i | −0.998604 | − | 0.576544i | ||||
\(222\) | 15.6618 | − | 6.86427i | 1.05115 | − | 0.460699i | ||||
\(223\) | 14.0901 | + | 9.86602i | 0.943546 | + | 0.660678i | 0.940672 | − | 0.339318i | \(-0.110196\pi\) |
0.00287403 | + | 0.999996i | \(0.499085\pi\) | |||||||
\(224\) | −0.171889 | + | 0.974830i | −0.0114848 | + | 0.0651336i | ||||
\(225\) | 14.4427 | − | 4.05079i | 0.962846 | − | 0.270053i | ||||
\(226\) | 10.6237 | − | 8.91437i | 0.706680 | − | 0.592975i | ||||
\(227\) | −17.2331 | + | 17.2331i | −1.14380 | + | 1.14380i | −0.156051 | + | 0.987749i | \(0.549876\pi\) |
−0.987749 | + | 0.156051i | \(0.950124\pi\) | |||||||
\(228\) | −7.41866 | − | 1.40126i | −0.491313 | − | 0.0928008i | ||||
\(229\) | − | 8.52084i | − | 0.563073i | −0.959551 | − | 0.281536i | \(-0.909156\pi\) | ||
0.959551 | − | 0.281536i | \(-0.0908440\pi\) | |||||||
\(230\) | 5.05258 | + | 3.64848i | 0.333157 | + | 0.240574i | ||||
\(231\) | 2.93091 | − | 1.60242i | 0.192840 | − | 0.105432i | ||||
\(232\) | 0.889363 | − | 0.622739i | 0.0583895 | − | 0.0408848i | ||||
\(233\) | −11.4867 | + | 16.4047i | −0.752518 | + | 1.07471i | 0.242013 | + | 0.970273i | \(0.422192\pi\) |
−0.994532 | + | 0.104435i | \(0.966697\pi\) | |||||||
\(234\) | −8.26148 | − | 15.9832i | −0.540070 | − | 1.04485i | ||||
\(235\) | 18.2216 | − | 10.1699i | 1.18865 | − | 0.663409i | ||||
\(236\) | 1.12690 | − | 0.650615i | 0.0733548 | − | 0.0423514i | ||||
\(237\) | 10.6512 | − | 14.4823i | 0.691871 | − | 0.940729i | ||||
\(238\) | 2.81852 | − | 0.246589i | 0.182698 | − | 0.0159840i | ||||
\(239\) | 8.58302 | + | 14.8662i | 0.555190 | + | 0.961617i | 0.997889 | + | 0.0649463i | \(0.0206876\pi\) |
−0.442699 | + | 0.896670i | \(0.645979\pi\) | |||||||
\(240\) | −3.78600 | − | 0.816231i | −0.244385 | − | 0.0526875i | ||||
\(241\) | −3.85394 | + | 1.40272i | −0.248254 | + | 0.0903571i | −0.463150 | − | 0.886280i | \(-0.653281\pi\) |
0.214896 | + | 0.976637i | \(0.431059\pi\) | |||||||
\(242\) | 5.90129 | + | 4.13213i | 0.379350 | + | 0.265623i | ||||
\(243\) | −2.25957 | − | 15.4238i | −0.144951 | − | 0.989439i | ||||
\(244\) | −2.34795 | + | 6.45094i | −0.150312 | + | 0.412979i | ||||
\(245\) | −7.88072 | + | 10.9136i | −0.503481 | + | 0.697242i | ||||
\(246\) | 0.879454 | + | 0.773520i | 0.0560719 | + | 0.0493178i | ||||
\(247\) | −4.25304 | + | 25.7936i | −0.270614 | + | 1.64121i | ||||
\(248\) | 0.292813 | + | 0.292813i | 0.0185937 | + | 0.0185937i | ||||
\(249\) | −12.2230 | − | 0.284444i | −0.774598 | − | 0.0180259i | ||||
\(250\) | −10.3293 | − | 4.27845i | −0.653283 | − | 0.270593i | ||||
\(251\) | 11.9820 | + | 2.11275i | 0.756297 | + | 0.133356i | 0.538485 | − | 0.842635i | \(-0.318997\pi\) |
0.217812 | + | 0.975991i | \(0.430108\pi\) | |||||||
\(252\) | 2.63008 | + | 1.37885i | 0.165680 | + | 0.0868592i | ||||
\(253\) | −2.29487 | + | 4.92135i | −0.144277 | + | 0.309403i | ||||
\(254\) | 7.21978 | − | 12.5050i | 0.453010 | − | 0.784636i | ||||
\(255\) | 0.547267 | + | 11.0564i | 0.0342712 | + | 0.692378i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −6.04376 | + | 0.528760i | −0.376999 | + | 0.0329832i | −0.274081 | − | 0.961707i | \(-0.588374\pi\) |
−0.102918 | + | 0.994690i | \(0.532818\pi\) | |||||||
\(258\) | 0.951188 | − | 0.633570i | 0.0592184 | − | 0.0394443i | ||||
\(259\) | 8.46339 | + | 4.88634i | 0.525889 | + | 0.303622i | ||||
\(260\) | −2.52051 | + | 13.1715i | −0.156315 | + | 0.816861i | ||||
\(261\) | −0.970424 | − | 3.10921i | −0.0600677 | − | 0.192455i | ||||
\(262\) | 2.34696 | − | 1.64336i | 0.144996 | − | 0.101527i | ||||
\(263\) | −5.44933 | − | 11.6861i | −0.336020 | − | 0.720598i | 0.663602 | − | 0.748086i | \(-0.269027\pi\) |
−0.999622 | + | 0.0274880i | \(0.991249\pi\) | |||||||
\(264\) | 0.0785089 | − | 3.37363i | 0.00483189 | − | 0.207633i | ||||
\(265\) | −9.86450 | + | 16.5261i | −0.605972 | + | 1.01519i | ||||
\(266\) | −1.86684 | − | 3.88997i | −0.114463 | − | 0.238509i | ||||
\(267\) | −29.3021 | + | 1.87788i | −1.79326 | + | 0.114924i | ||||
\(268\) | −1.15572 | + | 13.2100i | −0.0705970 | + | 0.806928i | ||||
\(269\) | −3.57049 | − | 1.29955i | −0.217697 | − | 0.0792351i | 0.230869 | − | 0.972985i | \(-0.425843\pi\) |
−0.448566 | + | 0.893750i | \(0.648065\pi\) | |||||||
\(270\) | −5.78004 | + | 10.0792i | −0.351762 | + | 0.613403i | ||||
\(271\) | 0.469395 | + | 2.66207i | 0.0285137 | + | 0.161709i | 0.995740 | − | 0.0922072i | \(-0.0293922\pi\) |
−0.967226 | + | 0.253917i | \(0.918281\pi\) | |||||||
\(272\) | 1.20795 | − | 2.59045i | 0.0732425 | − | 0.157069i | ||||
\(273\) | 4.56120 | − | 9.21547i | 0.276056 | − | 0.557746i | ||||
\(274\) | 10.2198 | − | 5.90038i | 0.617398 | − | 0.356455i | ||||
\(275\) | 1.96985 | − | 9.54023i | 0.118786 | − | 0.575297i | ||||
\(276\) | −4.77230 | + | 0.727442i | −0.287258 | + | 0.0437869i | ||||
\(277\) | 2.13084 | − | 7.95241i | 0.128030 | − | 0.477814i | −0.871900 | − | 0.489685i | \(-0.837112\pi\) |
0.999930 | + | 0.0118706i | \(0.00377863\pi\) | |||||||
\(278\) | 4.80816 | − | 1.28834i | 0.288374 | − | 0.0772697i | ||||
\(279\) | 1.10360 | − | 0.570432i | 0.0660705 | − | 0.0341509i | ||||
\(280\) | −0.906160 | − | 2.01942i | −0.0541534 | − | 0.120684i | ||||
\(281\) | 5.75773 | + | 1.01524i | 0.343477 | + | 0.0605643i | 0.342726 | − | 0.939435i | \(-0.388650\pi\) |
0.000751340 | 1.00000i | \(0.499761\pi\) | ||||||||
\(282\) | −4.54563 | + | 15.5116i | −0.270689 | + | 0.923701i | ||||
\(283\) | −1.30076 | + | 14.8678i | −0.0773224 | + | 0.883799i | 0.854160 | + | 0.520011i | \(0.174072\pi\) |
−0.931482 | + | 0.363788i | \(0.881483\pi\) | |||||||
\(284\) | −8.96875 | −0.532198 | ||||||||
\(285\) | 15.4852 | − | 6.72371i | 0.917265 | − | 0.398278i | ||||
\(286\) | −11.6846 | −0.690925 | ||||||||
\(287\) | −0.0583383 | + | 0.666810i | −0.00344360 | + | 0.0393606i | ||||
\(288\) | 2.53484 | − | 1.60455i | 0.149367 | − | 0.0945491i | ||||
\(289\) | 8.69629 | + | 1.53339i | 0.511546 | + | 0.0901994i | ||||
\(290\) | −0.863417 | + | 2.26900i | −0.0507016 | + | 0.133240i | ||||
\(291\) | 16.3858 | + | 6.39945i | 0.960550 | + | 0.375142i | ||||
\(292\) | −6.12989 | + | 1.64250i | −0.358724 | + | 0.0961199i | ||||
\(293\) | −4.10815 | + | 15.3318i | −0.240001 | + | 0.895695i | 0.735830 | + | 0.677166i | \(0.236792\pi\) |
−0.975831 | + | 0.218528i | \(0.929874\pi\) | |||||||
\(294\) | −1.57127 | − | 10.3082i | −0.0916386 | − | 0.601184i | ||||
\(295\) | −1.26788 | + | 2.61887i | −0.0738190 | + | 0.152476i | ||||
\(296\) | 8.55001 | − | 4.93635i | 0.496959 | − | 0.286920i | ||||
\(297\) | −9.57212 | − | 3.29582i | −0.555431 | − | 0.191243i | ||||
\(298\) | 3.80784 | − | 8.16594i | 0.220582 | − | 0.473040i | ||||
\(299\) | 2.90258 | + | 16.4614i | 0.167861 | + | 0.951985i | ||||
\(300\) | 8.02962 | − | 3.24426i | 0.463590 | − | 0.187307i | ||||
\(301\) | 0.613765 | + | 0.223392i | 0.0353769 | + | 0.0128761i | ||||
\(302\) | −1.65501 | + | 18.9169i | −0.0952352 | + | 1.08854i | ||||
\(303\) | −1.70777 | − | 26.6478i | −0.0981089 | − | 1.53087i | ||||
\(304\) | −4.34627 | − | 0.331612i | −0.249275 | − | 0.0190192i | ||||
\(305\) | −3.75697 | − | 14.8836i | −0.215123 | − | 0.852235i | ||||
\(306\) | −6.30512 | − | 5.81132i | −0.360440 | − | 0.332211i | ||||
\(307\) | 12.6496 | + | 27.1272i | 0.721952 | + | 1.54823i | 0.832293 | + | 0.554337i | \(0.187028\pi\) |
−0.110341 | + | 0.993894i | \(0.535194\pi\) | |||||||
\(308\) | 1.57978 | − | 1.10617i | 0.0900163 | − | 0.0630301i | ||||
\(309\) | −0.142507 | − | 0.0867584i | −0.00810694 | − | 0.00493551i | ||||
\(310\) | −0.909455 | − | 0.174034i | −0.0516536 | − | 0.00988447i | ||||
\(311\) | −20.0600 | − | 11.5817i | −1.13750 | − | 0.656735i | −0.191689 | − | 0.981456i | \(-0.561396\pi\) |
−0.945810 | + | 0.324721i | \(0.894730\pi\) | |||||||
\(312\) | −5.75857 | − | 8.64544i | −0.326015 | − | 0.489451i | ||||
\(313\) | −6.29186 | + | 0.550466i | −0.355637 | + | 0.0311142i | −0.263575 | − | 0.964639i | \(-0.584901\pi\) |
−0.0920624 | + | 0.995753i | \(0.529346\pi\) | |||||||
\(314\) | 9.20455 | + | 7.72354i | 0.519443 | + | 0.435864i | ||||
\(315\) | −6.59755 | + | 0.751765i | −0.371730 | + | 0.0423571i | ||||
\(316\) | 5.18963 | − | 8.98870i | 0.291939 | − | 0.505654i | ||||
\(317\) | 1.05257 | − | 2.25724i | 0.0591181 | − | 0.126779i | −0.874529 | − | 0.484973i | \(-0.838829\pi\) |
0.933647 | + | 0.358194i | \(0.116607\pi\) | |||||||
\(318\) | −3.52244 | − | 14.4860i | −0.197529 | − | 0.812335i | ||||
\(319\) | −2.08315 | − | 0.367316i | −0.116634 | − | 0.0205657i | ||||
\(320\) | −2.22449 | − | 0.227257i | −0.124353 | − | 0.0127041i | ||||
\(321\) | −0.236175 | + | 10.1488i | −0.0131820 | + | 0.566448i | ||||
\(322\) | −1.95082 | − | 1.95082i | −0.108715 | − | 0.108715i | ||||
\(323\) | 2.29970 | + | 12.2447i | 0.127959 | + | 0.681314i | ||||
\(324\) | −2.27889 | − | 8.70670i | −0.126605 | − | 0.483706i | ||||
\(325\) | −11.8773 | − | 27.5343i | −0.658833 | − | 1.52733i | ||||
\(326\) | 1.72672 | − | 4.74412i | 0.0956341 | − | 0.262752i | ||||
\(327\) | −18.0952 | − | 2.00832i | −1.00067 | − | 0.111060i | ||||
\(328\) | 0.553917 | + | 0.387857i | 0.0305850 | + | 0.0214158i | ||||
\(329\) | −8.68059 | + | 3.15948i | −0.478576 | + | 0.174188i | ||||
\(330\) | 4.09130 | + | 6.34027i | 0.225219 | + | 0.349020i | ||||
\(331\) | −15.9880 | − | 27.6920i | −0.878779 | − | 1.52209i | −0.852682 | − | 0.522430i | \(-0.825026\pi\) |
−0.0260966 | − | 0.999659i | \(-0.508308\pi\) | |||||||
\(332\) | −7.03197 | + | 0.615218i | −0.385930 | + | 0.0337645i | ||||
\(333\) | −6.32662 | − | 28.9345i | −0.346697 | − | 1.58560i | ||||
\(334\) | −14.5280 | + | 8.38775i | −0.794937 | + | 0.458957i | ||||
\(335\) | −14.4506 | − | 25.8916i | −0.789523 | − | 1.41461i | ||||
\(336\) | 1.59703 | + | 0.623718i | 0.0871250 | + | 0.0340266i | ||||
\(337\) | 4.22875 | − | 6.03928i | 0.230354 | − | 0.328980i | −0.687290 | − | 0.726383i | \(-0.741200\pi\) |
0.917644 | + | 0.397403i | \(0.130089\pi\) | |||||||
\(338\) | −18.8145 | + | 13.1740i | −1.02337 | + | 0.716574i | ||||
\(339\) | −11.5231 | − | 21.0762i | −0.625848 | − | 1.14470i | ||||
\(340\) | 1.01818 | + | 6.30960i | 0.0552187 | + | 0.342186i | ||||
\(341\) | − | 0.806790i | − | 0.0436901i | ||||||
\(342\) | −4.90482 | + | 12.1220i | −0.265222 | + | 0.655482i | ||||
\(343\) | 9.11337 | − | 9.11337i | 0.492076 | − | 0.492076i | ||||
\(344\) | 0.505467 | − | 0.424137i | 0.0272530 | − | 0.0228680i | ||||
\(345\) | 7.91589 | − | 7.33884i | 0.426177 | − | 0.395110i | ||||
\(346\) | 2.47042 | − | 14.0104i | 0.132810 | − | 0.753205i | ||||
\(347\) | 21.9095 | + | 15.3412i | 1.17616 | + | 0.823558i | 0.987366 | − | 0.158458i | \(-0.0506521\pi\) |
0.188798 | + | 0.982016i | \(0.439541\pi\) | |||||||
\(348\) | −0.754871 | − | 1.72235i | −0.0404653 | − | 0.0923275i | ||||
\(349\) | 21.7920 | + | 12.5816i | 1.16650 | + | 0.673480i | 0.952853 | − | 0.303431i | \(-0.0981322\pi\) |
0.213648 | + | 0.976911i | \(0.431466\pi\) | |||||||
\(350\) | 4.21248 | + | 2.59827i | 0.225167 | + | 0.138883i | ||||
\(351\) | −29.9559 | + | 8.59008i | −1.59893 | + | 0.458505i | ||||
\(352\) | −0.169805 | − | 1.94088i | −0.00905064 | − | 0.103449i | ||||
\(353\) | −1.58505 | + | 5.91549i | −0.0843638 | + | 0.314850i | −0.995193 | − | 0.0979336i | \(-0.968777\pi\) |
0.910829 | + | 0.412784i | \(0.135443\pi\) | |||||||
\(354\) | −0.721363 | − | 2.13524i | −0.0383400 | − | 0.113487i | ||||
\(355\) | 16.5934 | − | 11.2628i | 0.880687 | − | 0.597769i | ||||
\(356\) | −16.6947 | + | 2.94373i | −0.884818 | + | 0.156017i | ||||
\(357\) | 0.540564 | − | 4.87056i | 0.0286097 | − | 0.257777i | ||||
\(358\) | −21.6728 | + | 10.1062i | −1.14544 | + | 0.534129i | ||||
\(359\) | 8.35473 | − | 7.01045i | 0.440946 | − | 0.369998i | −0.395117 | − | 0.918631i | \(-0.629296\pi\) |
0.836063 | + | 0.548633i | \(0.184852\pi\) | |||||||
\(360\) | −2.67483 | + | 6.15185i | −0.140976 | + | 0.324231i | ||||
\(361\) | 16.2392 | − | 9.86343i | 0.854696 | − | 0.519128i | ||||
\(362\) | 12.2268 | − | 12.2268i | 0.642628 | − | 0.642628i | ||||
\(363\) | 9.02613 | − | 8.61558i | 0.473749 | − | 0.452201i | ||||
\(364\) | 2.03043 | − | 5.57857i | 0.106424 | − | 0.292397i | ||||
\(365\) | 9.27850 | − | 10.7367i | 0.485659 | − | 0.561983i | ||||
\(366\) | 10.1563 | + | 6.18318i | 0.530880 | + | 0.323200i | ||||
\(367\) | −24.0552 | − | 11.2171i | −1.25567 | − | 0.585529i | −0.323048 | − | 0.946383i | \(-0.604707\pi\) |
−0.932622 | + | 0.360854i | \(0.882485\pi\) | |||||||
\(368\) | −2.69214 | + | 0.721358i | −0.140338 | + | 0.0376034i | ||||
\(369\) | 1.61299 | − | 1.23027i | 0.0839690 | − | 0.0640455i | ||||
\(370\) | −9.61969 | + | 19.8699i | −0.500104 | + | 1.03299i | ||||
\(371\) | 5.47655 | − | 6.52670i | 0.284328 | − | 0.338849i | ||||
\(372\) | 0.596944 | − | 0.397614i | 0.0309501 | − | 0.0206153i | ||||
\(373\) | 4.92284 | + | 18.3723i | 0.254895 | + | 0.951281i | 0.968149 | + | 0.250375i | \(0.0805540\pi\) |
−0.713254 | + | 0.700906i | \(0.752779\pi\) | |||||||
\(374\) | −5.23287 | + | 1.90461i | −0.270585 | + | 0.0984849i | ||||
\(375\) | −10.7818 | + | 16.0858i | −0.556770 | + | 0.830667i | ||||
\(376\) | −1.62053 | + | 9.19046i | −0.0835722 | + | 0.473962i | ||||
\(377\) | −5.90133 | + | 2.75183i | −0.303934 | + | 0.141727i | ||||
\(378\) | 3.23687 | − | 3.99730i | 0.166487 | − | 0.205599i | ||||
\(379\) | − | 30.1362i | − | 1.54799i | −0.633191 | − | 0.773995i | \(-0.718255\pi\) | ||
0.633191 | − | 0.773995i | \(-0.281745\pi\) | |||||||
\(380\) | 8.45762 | − | 4.84445i | 0.433867 | − | 0.248515i | ||||
\(381\) | −18.7796 | − | 16.5175i | −0.962109 | − | 0.846219i | ||||
\(382\) | 1.77150 | + | 0.154986i | 0.0906377 | + | 0.00792977i | ||||
\(383\) | −1.72926 | − | 3.70840i | −0.0883609 | − | 0.189491i | 0.857161 | − | 0.515048i | \(-0.172226\pi\) |
−0.945522 | + | 0.325557i | \(0.894448\pi\) | |||||||
\(384\) | 1.35237 | − | 1.08217i | 0.0690129 | − | 0.0552243i | ||||
\(385\) | −1.53369 | + | 4.03044i | −0.0781642 | + | 0.205410i | ||||
\(386\) | 2.45744 | + | 6.75175i | 0.125080 | + | 0.343655i | ||||
\(387\) | −0.752222 | − | 1.83103i | −0.0382376 | − | 0.0930765i | ||||
\(388\) | 9.81015 | + | 2.62862i | 0.498035 | + | 0.133448i | ||||
\(389\) | 6.57884 | + | 5.52031i | 0.333561 | + | 0.279891i | 0.794149 | − | 0.607723i | \(-0.207917\pi\) |
−0.460588 | + | 0.887614i | \(0.652361\pi\) | |||||||
\(390\) | 21.5110 | + | 8.76370i | 1.08925 | + | 0.443767i | ||||
\(391\) | 3.98312 | + | 6.89897i | 0.201435 | + | 0.348896i | ||||
\(392\) | −1.55813 | − | 5.81503i | −0.0786976 | − | 0.293703i | ||||
\(393\) | −1.99205 | − | 4.54514i | −0.100485 | − | 0.229272i | ||||
\(394\) | −2.32134 | + | 0.409315i | −0.116948 | + | 0.0206210i | ||||
\(395\) | 1.68636 | + | 23.1474i | 0.0848497 | + | 1.16467i | ||||
\(396\) | −5.70264 | − | 1.28161i | −0.286569 | − | 0.0644035i | ||||
\(397\) | 30.0571 | + | 2.62965i | 1.50852 | + | 0.131978i | 0.811195 | − | 0.584776i | \(-0.198818\pi\) |
0.697326 | + | 0.716754i | \(0.254373\pi\) | |||||||
\(398\) | 4.44285 | + | 4.44285i | 0.222700 | + | 0.222700i | ||||
\(399\) | −7.24167 | + | 1.84639i | −0.362537 | + | 0.0924350i | ||||
\(400\) | 4.40100 | − | 2.37302i | 0.220050 | − | 0.118651i | ||||
\(401\) | 14.1302 | + | 16.8397i | 0.705630 | + | 0.840937i | 0.993151 | − | 0.116837i | \(-0.0372756\pi\) |
−0.287521 | + | 0.957774i | \(0.592831\pi\) | |||||||
\(402\) | 22.0408 | + | 6.45902i | 1.09930 | + | 0.322147i | ||||
\(403\) | −1.42448 | − | 2.03437i | −0.0709585 | − | 0.101339i | ||||
\(404\) | −2.67708 | − | 15.1824i | −0.133189 | − | 0.755355i | ||||
\(405\) | 15.1500 | + | 13.2468i | 0.752810 | + | 0.658238i | ||||
\(406\) | 0.537356 | − | 0.930728i | 0.0266685 | − | 0.0461912i | ||||
\(407\) | −18.5795 | − | 4.97837i | −0.920952 | − | 0.246768i | ||||
\(408\) | −3.98815 | − | 2.93314i | −0.197443 | − | 0.145212i | ||||
\(409\) | −21.9670 | + | 26.1793i | −1.08620 | + | 1.29448i | −0.133340 | + | 0.991070i | \(0.542570\pi\) |
−0.952860 | + | 0.303412i | \(0.901874\pi\) | |||||||
\(410\) | −1.51189 | − | 0.0219873i | −0.0746668 | − | 0.00108588i | ||||
\(411\) | −6.54198 | − | 19.3643i | −0.322692 | − | 0.955170i | ||||
\(412\) | −0.0872997 | − | 0.0407085i | −0.00430095 | − | 0.00200556i | ||||
\(413\) | 0.738793 | − | 1.05511i | 0.0363536 | − | 0.0519184i | ||||
\(414\) | −0.388948 | + | 8.35228i | −0.0191158 | + | 0.410492i | ||||
\(415\) | 12.2375 | − | 9.96889i | 0.600717 | − | 0.489353i | ||||
\(416\) | −3.85502 | − | 4.59424i | −0.189008 | − | 0.225251i | ||||
\(417\) | −0.551410 | − | 8.60411i | −0.0270027 | − | 0.421345i | ||||
\(418\) | 5.53080 | + | 6.44449i | 0.270520 | + | 0.315210i | ||||
\(419\) | 39.1047 | 1.91039 | 0.955194 | − | 0.295979i | \(-0.0956460\pi\) | ||||
0.955194 | + | 0.295979i | \(0.0956460\pi\) | |||||||
\(420\) | −3.73797 | + | 0.851559i | −0.182394 | + | 0.0415518i | ||||
\(421\) | −18.0729 | − | 6.57799i | −0.880818 | − | 0.320592i | −0.138278 | − | 0.990393i | \(-0.544157\pi\) |
−0.742540 | + | 0.669802i | \(0.766379\pi\) | |||||||
\(422\) | −8.49996 | − | 12.1392i | −0.413772 | − | 0.590927i | ||||
\(423\) | 24.7958 | + | 12.9994i | 1.20561 | + | 0.632054i | ||||
\(424\) | −2.94384 | − | 8.08813i | −0.142965 | − | 0.392794i | ||||
\(425\) | −9.80728 | − | 10.3950i | −0.475723 | − | 0.504232i | ||||
\(426\) | −3.05269 | + | 15.2314i | −0.147904 | + | 0.737965i | ||||
\(427\) | 0.592258 | + | 6.76954i | 0.0286614 | + | 0.327601i | ||||
\(428\) | 0.510817 | + | 5.83867i | 0.0246913 | + | 0.282223i | ||||
\(429\) | −3.97709 | + | 19.8437i | −0.192016 | + | 0.958064i | ||||
\(430\) | −0.402558 | + | 1.41947i | −0.0194131 | + | 0.0684529i | ||||
\(431\) | −4.32017 | − | 11.8696i | −0.208095 | − | 0.571737i | 0.791107 | − | 0.611678i | \(-0.209505\pi\) |
−0.999202 | + | 0.0399412i | \(0.987283\pi\) | |||||||
\(432\) | −1.86219 | − | 4.85100i | −0.0895947 | − | 0.233394i | ||||
\(433\) | 6.76713 | + | 9.66447i | 0.325208 | + | 0.464445i | 0.948150 | − | 0.317823i | \(-0.102952\pi\) |
−0.622942 | + | 0.782268i | \(0.714063\pi\) | |||||||
\(434\) | 0.385185 | + | 0.140196i | 0.0184895 | + | 0.00672962i | ||||
\(435\) | 3.55951 | + | 2.23862i | 0.170666 | + | 0.107334i | ||||
\(436\) | −10.5114 | −0.503407 | ||||||||
\(437\) | 7.70513 | − | 9.39270i | 0.368586 | − | 0.449314i | ||||
\(438\) | 0.702989 | + | 10.9693i | 0.0335901 | + | 0.524134i | ||||
\(439\) | 20.9543 | + | 24.9724i | 1.00010 | + | 1.19187i | 0.981386 | + | 0.192044i | \(0.0615115\pi\) |
0.0187100 | + | 0.999825i | \(0.494044\pi\) | |||||||
\(440\) | 2.75149 | + | 3.37765i | 0.131172 | + | 0.161023i | ||||
\(441\) | −18.0409 | − | 0.840128i | −0.859092 | − | 0.0400061i | ||||
\(442\) | −9.83219 | + | 14.0418i | −0.467670 | + | 0.667901i | ||||
\(443\) | −4.56049 | − | 2.12659i | −0.216675 | − | 0.101037i | 0.311250 | − | 0.950328i | \(-0.399252\pi\) |
−0.527926 | + | 0.849291i | \(0.677030\pi\) | |||||||
\(444\) | −5.47313 | − | 16.2005i | −0.259743 | − | 0.768841i | ||||
\(445\) | 27.1908 | − | 26.4113i | 1.28897 | − | 1.25201i | ||||
\(446\) | 11.0565 | − | 13.1766i | 0.523541 | − | 0.623932i | ||||
\(447\) | −12.5720 | − | 9.24621i | −0.594633 | − | 0.437331i | ||||
\(448\) | 0.956140 | + | 0.256197i | 0.0451734 | + | 0.0121042i | ||||
\(449\) | 15.2377 | − | 26.3924i | 0.719110 | − | 1.24554i | −0.242242 | − | 0.970216i | \(-0.577883\pi\) |
0.961353 | − | 0.275320i | \(-0.0887838\pi\) | |||||||
\(450\) | −2.77661 | − | 14.7408i | −0.130891 | − | 0.694887i | ||||
\(451\) | −0.228773 | − | 1.29744i | −0.0107725 | − | 0.0610940i | ||||
\(452\) | −7.95453 | − | 11.3602i | −0.374150 | − | 0.534341i | ||||
\(453\) | 31.5628 | + | 9.24940i | 1.48295 | + | 0.434575i | ||||
\(454\) | 15.6655 | + | 18.6695i | 0.735220 | + | 0.876202i | ||||
\(455\) | 3.24891 | + | 12.8709i | 0.152311 | + | 0.603397i | ||||
\(456\) | −2.04251 | + | 7.26830i | −0.0956492 | + | 0.340369i | ||||
\(457\) | −2.25517 | − | 2.25517i | −0.105492 | − | 0.105492i | 0.652391 | − | 0.757883i | \(-0.273766\pi\) |
−0.757883 | + | 0.652391i | \(0.773766\pi\) | |||||||
\(458\) | −8.48841 | − | 0.742640i | −0.396638 | − | 0.0347013i | ||||
\(459\) | −12.0153 | + | 8.72985i | −0.560827 | + | 0.407475i | ||||
\(460\) | 4.07496 | − | 4.71536i | 0.189996 | − | 0.219855i | ||||
\(461\) | 22.0568 | − | 3.88920i | 1.02729 | − | 0.181138i | 0.365484 | − | 0.930817i | \(-0.380903\pi\) |
0.661801 | + | 0.749679i | \(0.269792\pi\) | |||||||
\(462\) | −1.34088 | − | 3.05941i | −0.0623834 | − | 0.142337i | ||||
\(463\) | −3.58939 | − | 13.3958i | −0.166813 | − | 0.622556i | −0.997802 | − | 0.0662664i | \(-0.978891\pi\) |
0.830989 | − | 0.556289i | \(-0.187775\pi\) | |||||||
\(464\) | −0.542856 | − | 0.940254i | −0.0252014 | − | 0.0436502i | ||||
\(465\) | −0.605110 | + | 1.48527i | −0.0280613 | + | 0.0688779i | ||||
\(466\) | 15.3411 | + | 12.8727i | 0.710665 | + | 0.596318i | ||||
\(467\) | 17.6671 | + | 4.73387i | 0.817534 | + | 0.219057i | 0.643268 | − | 0.765641i | \(-0.277578\pi\) |
0.174266 | + | 0.984699i | \(0.444245\pi\) | |||||||
\(468\) | −16.6424 | + | 6.83701i | −0.769295 | + | 0.316041i | ||||
\(469\) | 4.48939 | + | 12.3345i | 0.207301 | + | 0.569554i | ||||
\(470\) | −8.54305 | − | 19.0386i | −0.394061 | − | 0.878186i | ||||
\(471\) | 16.2497 | − | 13.0030i | 0.748745 | − | 0.599148i | ||||
\(472\) | −0.549924 | − | 1.17931i | −0.0253123 | − | 0.0542824i | ||||
\(473\) | −1.28067 | − | 0.112044i | −0.0588853 | − | 0.00515180i | ||||
\(474\) | −13.4989 | − | 11.8729i | −0.620025 | − | 0.545341i | ||||
\(475\) | −9.56416 | + | 19.5838i | −0.438834 | + | 0.898568i | ||||
\(476\) | − | 2.82929i | − | 0.129680i | ||||||
\(477\) | −25.8002 | + | 1.05148i | −1.18131 | + | 0.0481440i | ||||
\(478\) | 15.5577 | − | 7.25468i | 0.711594 | − | 0.331822i | ||||
\(479\) | −0.0425891 | + | 0.241535i | −0.00194594 | + | 0.0110360i | −0.985765 | − | 0.168127i | \(-0.946228\pi\) |
0.983819 | + | 0.179163i | \(0.0573391\pi\) | |||||||
\(480\) | −1.14310 | + | 3.70045i | −0.0521750 | + | 0.168902i | ||||
\(481\) | −55.6393 | + | 20.2510i | −2.53693 | + | 0.923368i | ||||
\(482\) | 1.06149 | + | 3.96153i | 0.0483495 | + | 0.180443i | ||||
\(483\) | −3.97703 | + | 2.64903i | −0.180961 | + | 0.120535i | ||||
\(484\) | 4.63074 | − | 5.51870i | 0.210488 | − | 0.250850i | ||||
\(485\) | −21.4511 | + | 7.45613i | −0.974044 | + | 0.338565i | ||||
\(486\) | −15.5621 | + | 0.906694i | −0.705910 | + | 0.0411285i | ||||
\(487\) | −3.73107 | + | 0.999737i | −0.169071 | + | 0.0453024i | −0.342361 | − | 0.939568i | \(-0.611227\pi\) |
0.173290 | + | 0.984871i | \(0.444560\pi\) | |||||||
\(488\) | 6.22176 | + | 2.90125i | 0.281646 | + | 0.131334i | ||||
\(489\) | −7.46911 | − | 4.54720i | −0.337765 | − | 0.205632i | ||||
\(490\) | 10.1852 | + | 8.80191i | 0.460120 | + | 0.397630i | ||||
\(491\) | 0.935546 | − | 2.57039i | 0.0422206 | − | 0.116000i | −0.916791 | − | 0.399368i | \(-0.869230\pi\) |
0.959011 | + | 0.283368i | \(0.0914518\pi\) | |||||||
\(492\) | 0.847226 | − | 0.808691i | 0.0381959 | − | 0.0364586i | ||||
\(493\) | −2.19431 | + | 2.19431i | −0.0988269 | + | 0.0988269i | ||||
\(494\) | 25.3247 | + | 6.48491i | 1.13941 | + | 0.291770i | ||||
\(495\) | 12.1601 | − | 4.79013i | 0.546556 | − | 0.215301i | ||||
\(496\) | 0.317220 | − | 0.266179i | 0.0142436 | − | 0.0119518i | ||||
\(497\) | −8.04610 | + | 3.75196i | −0.360917 | + | 0.168298i | ||||
\(498\) | −1.34866 | + | 12.1517i | −0.0604350 | + | 0.544528i | ||||
\(499\) | 11.3962 | − | 2.00945i | 0.510162 | − | 0.0899553i | 0.0873588 | − | 0.996177i | \(-0.472157\pi\) |
0.422803 | + | 0.906222i | \(0.361046\pi\) | |||||||
\(500\) | −5.16243 | + | 9.91712i | −0.230871 | + | 0.443507i | ||||
\(501\) | 9.29983 | + | 27.5275i | 0.415486 | + | 1.22984i | ||||
\(502\) | 3.14901 | − | 11.7523i | 0.140547 | − | 0.524529i | ||||
\(503\) | −1.17659 | − | 13.4484i | −0.0524614 | − | 0.599637i | −0.976237 | − | 0.216704i | \(-0.930470\pi\) |
0.923776 | − | 0.382933i | \(-0.125086\pi\) | |||||||
\(504\) | 1.60283 | − | 2.49990i | 0.0713956 | − | 0.111354i | ||||
\(505\) | 24.0188 | + | 24.7278i | 1.06882 | + | 1.10037i | ||||
\(506\) | 4.70262 | + | 2.71506i | 0.209057 | + | 0.120699i | ||||
\(507\) | 15.9693 | + | 36.4363i | 0.709222 | + | 1.61819i | ||||
\(508\) | −11.8282 | − | 8.28220i | −0.524792 | − | 0.367463i | ||||
\(509\) | 3.19818 | − | 18.1378i | 0.141757 | − | 0.803944i | −0.828157 | − | 0.560496i | \(-0.810610\pi\) |
0.969914 | − | 0.243448i | \(-0.0782784\pi\) | |||||||
\(510\) | 11.0620 | + | 0.418444i | 0.489834 | + | 0.0185290i | ||||
\(511\) | −4.81216 | + | 4.03788i | −0.212878 | + | 0.178625i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 18.9171 | + | 12.4557i | 0.835209 | + | 0.549933i | ||||
\(514\) | 6.06684i | 0.267597i | ||||||||
\(515\) | 0.212637 | − | 0.0343134i | 0.00936993 | − | 0.00151203i | ||||
\(516\) | −0.548257 | − | 1.00279i | −0.0241357 | − | 0.0441453i | ||||
\(517\) | 14.8938 | − | 10.4287i | 0.655027 | − | 0.458655i | ||||
\(518\) | 5.60538 | − | 8.00531i | 0.246286 | − | 0.351733i | ||||
\(519\) | −22.9527 | − | 8.96418i | −1.00751 | − | 0.393484i | ||||
\(520\) | 12.9017 | + | 3.65889i | 0.565777 | + | 0.160453i | ||||
\(521\) | 28.1545 | − | 16.2550i | 1.23347 | − | 0.712144i | 0.265718 | − | 0.964051i | \(-0.414391\pi\) |
0.967752 | + | 0.251907i | \(0.0810576\pi\) | |||||||
\(522\) | −3.18196 | + | 0.695745i | −0.139271 | + | 0.0304519i | ||||
\(523\) | −43.2478 | + | 3.78369i | −1.89109 | + | 0.165449i | −0.972983 | − | 0.230876i | \(-0.925841\pi\) |
−0.918110 | + | 0.396325i | \(0.870285\pi\) | |||||||
\(524\) | −1.43255 | − | 2.48126i | −0.0625814 | − | 0.108394i | ||||
\(525\) | 5.84639 | − | 6.26959i | 0.255157 | − | 0.273627i | ||||
\(526\) | −12.1166 | + | 4.41008i | −0.528309 | + | 0.192289i | ||||
\(527\) | −0.969549 | − | 0.678886i | −0.0422342 | − | 0.0295727i | ||||
\(528\) | −3.35395 | − | 0.372241i | −0.145962 | − | 0.0161997i | ||||
\(529\) | −5.20965 | + | 14.3134i | −0.226507 | + | 0.622322i | ||||
\(530\) | 15.6035 | + | 11.2673i | 0.677771 | + | 0.489421i | ||||
\(531\) | −3.87176 | + | 0.498304i | −0.168020 | + | 0.0216245i | ||||
\(532\) | −4.03787 | + | 1.52070i | −0.175064 | + | 0.0659309i | ||||
\(533\) | −2.86764 | − | 2.86764i | −0.124211 | − | 0.124211i | ||||
\(534\) | −0.683112 | + | 29.3542i | −0.0295611 | + | 1.27028i | ||||
\(535\) | −8.27719 | − | 10.1609i | −0.357854 | − | 0.439292i | ||||
\(536\) | 13.0590 | + | 2.30265i | 0.564062 | + | 0.0994593i | ||||
\(537\) | 9.78636 | + | 40.2463i | 0.422313 | + | 1.73676i | ||||
\(538\) | −1.60580 | + | 3.44364i | −0.0692308 | + | 0.148466i | ||||
\(539\) | −5.86452 | + | 10.1576i | −0.252603 | + | 0.437521i | ||||
\(540\) | 9.53713 | + | 6.63651i | 0.410413 | + | 0.285590i | ||||
\(541\) | 6.27431 | + | 5.26477i | 0.269754 | + | 0.226350i | 0.767623 | − | 0.640902i | \(-0.221439\pi\) |
−0.497869 | + | 0.867252i | \(0.665884\pi\) | |||||||
\(542\) | 2.69285 | − | 0.235594i | 0.115668 | − | 0.0101196i | ||||
\(543\) | −16.6029 | − | 24.9262i | −0.712499 | − | 1.06969i | ||||
\(544\) | −2.47531 | − | 1.42912i | −0.106128 | − | 0.0612731i | ||||
\(545\) | 19.4476 | − | 13.2001i | 0.833044 | − | 0.565431i | ||||
\(546\) | −8.78287 | − | 5.34702i | −0.375872 | − | 0.228831i | ||||
\(547\) | −12.4039 | + | 8.68530i | −0.530352 | + | 0.371357i | −0.807867 | − | 0.589365i | \(-0.799378\pi\) |
0.277515 | + | 0.960721i | \(0.410489\pi\) | |||||||
\(548\) | −4.98721 | − | 10.6951i | −0.213043 | − | 0.456873i | ||||
\(549\) | 13.9577 | − | 15.1437i | 0.595699 | − | 0.646317i | ||||
\(550\) | −9.33224 | − | 2.79384i | −0.397928 | − | 0.119130i | ||||
\(551\) | 4.31107 | + | 1.95224i | 0.183658 | + | 0.0831684i | ||||
\(552\) | 0.308741 | + | 4.81754i | 0.0131409 | + | 0.205048i | ||||
\(553\) | 0.895446 | − | 10.2350i | 0.0380783 | − | 0.435236i | ||||
\(554\) | −7.73643 | − | 2.81583i | −0.328689 | − | 0.119633i | ||||
\(555\) | 30.4704 | + | 23.1000i | 1.29339 | + | 0.980541i | ||||
\(556\) | −0.864381 | − | 4.90215i | −0.0366579 | − | 0.207897i | ||||
\(557\) | −16.6924 | + | 35.7970i | −0.707280 | + | 1.51677i | 0.142595 | + | 0.989781i | \(0.454455\pi\) |
−0.849874 | + | 0.526985i | \(0.823322\pi\) | |||||||
\(558\) | −0.472077 | − | 1.14911i | −0.0199846 | − | 0.0486458i | ||||
\(559\) | −3.42712 | + | 1.97865i | −0.144952 | + | 0.0836879i | ||||
\(560\) | −2.09072 | + | 0.726707i | −0.0883489 | + | 0.0307090i | ||||
\(561\) | 1.45344 | + | 9.53513i | 0.0613644 | + | 0.402574i | ||||
\(562\) | 1.51320 | − | 5.64734i | 0.0638305 | − | 0.238219i | ||||
\(563\) | 37.0977 | − | 9.94029i | 1.56348 | − | 0.418933i | 0.629717 | − | 0.776824i | \(-0.283171\pi\) |
0.933763 | + | 0.357891i | \(0.116504\pi\) | |||||||
\(564\) | 15.0564 | + | 5.88026i | 0.633988 | + | 0.247604i | ||||
\(565\) | 28.9830 | + | 11.0288i | 1.21932 | + | 0.463986i | ||||
\(566\) | 14.6979 | + | 2.59163i | 0.617797 | + | 0.108934i | ||||
\(567\) | −5.68679 | − | 6.85766i | −0.238823 | − | 0.287995i | ||||
\(568\) | −0.781678 | + | 8.93462i | −0.0327985 | + | 0.374888i | ||||
\(569\) | −34.6147 | −1.45112 | −0.725561 | − | 0.688158i | \(-0.758420\pi\) | ||||
−0.725561 | + | 0.688158i | \(0.758420\pi\) | |||||||
\(570\) | −5.34850 | − | 16.0123i | −0.224024 | − | 0.670681i | ||||
\(571\) | −17.4318 | −0.729498 | −0.364749 | − | 0.931106i | \(-0.618845\pi\) | ||||
−0.364749 | + | 0.931106i | \(0.618845\pi\) | |||||||
\(572\) | −1.01838 | + | 11.6401i | −0.0425806 | + | 0.486699i | ||||
\(573\) | 0.866174 | − | 2.95574i | 0.0361849 | − | 0.123478i | ||||
\(574\) | 0.659188 | + | 0.116233i | 0.0275140 | + | 0.00485146i | ||||
\(575\) | −1.61775 | + | 13.8413i | −0.0674649 | + | 0.577224i | ||||
\(576\) | −1.37752 | − | 2.66504i | −0.0573967 | − | 0.111043i | ||||
\(577\) | 35.4567 | − | 9.50061i | 1.47608 | − | 0.395515i | 0.571071 | − | 0.820901i | \(-0.306528\pi\) |
0.905012 | + | 0.425385i | \(0.139861\pi\) | |||||||
\(578\) | 2.28549 | − | 8.52955i | 0.0950637 | − | 0.354783i | ||||
\(579\) | 12.3028 | − | 1.87532i | 0.511286 | − | 0.0779355i | ||||
\(580\) | 2.18511 | + | 1.05789i | 0.0907319 | + | 0.0439264i | ||||
\(581\) | −6.05120 | + | 3.49366i | −0.251046 | + | 0.144941i | ||||
\(582\) | 7.80321 | − | 15.7657i | 0.323453 | − | 0.653507i | ||||
\(583\) | −7.08704 | + | 15.1982i | −0.293515 | + | 0.629446i | ||||
\(584\) | 1.10199 | + | 6.24971i | 0.0456008 | + | 0.258615i | ||||
\(585\) | 22.2049 | − | 33.5487i | 0.918059 | − | 1.38707i | ||||
\(586\) | 14.9154 | + | 5.42877i | 0.616151 | + | 0.224261i | ||||
\(587\) | 1.58604 | − | 18.1285i | 0.0654629 | − | 0.748245i | −0.890543 | − | 0.454899i | \(-0.849676\pi\) |
0.956006 | − | 0.293346i | \(-0.0947689\pi\) | |||||||
\(588\) | −10.4059 | + | 0.666880i | −0.429131 | + | 0.0275017i | ||||
\(589\) | −0.447765 | + | 1.74860i | −0.0184498 | + | 0.0720500i | ||||
\(590\) | 2.49840 | + | 1.49131i | 0.102857 | + | 0.0613962i | ||||
\(591\) | −0.0949843 | + | 4.08160i | −0.00390713 | + | 0.167895i | ||||
\(592\) | −4.17238 | − | 8.94771i | −0.171484 | − | 0.367748i | ||||
\(593\) | 21.2939 | − | 14.9102i | 0.874436 | − | 0.612287i | −0.0478241 | − | 0.998856i | \(-0.515229\pi\) |
0.922261 | + | 0.386569i | \(0.126340\pi\) | |||||||
\(594\) | −4.11754 | + | 9.24845i | −0.168945 | + | 0.379468i | ||||
\(595\) | 3.55298 | + | 5.23456i | 0.145658 | + | 0.214596i | ||||
\(596\) | −7.80299 | − | 4.50506i | −0.319623 | − | 0.184534i | ||||
\(597\) | 9.05741 | − | 6.03298i | 0.370695 | − | 0.246914i | ||||
\(598\) | 16.6517 | − | 1.45683i | 0.680938 | − | 0.0595744i | ||||
\(599\) | 20.3376 | + | 17.0653i | 0.830973 | + | 0.697270i | 0.955514 | − | 0.294945i | \(-0.0953013\pi\) |
−0.124541 | + | 0.992214i | \(0.539746\pi\) | |||||||
\(600\) | −2.53209 | − | 8.28182i | −0.103372 | − | 0.338104i | ||||
\(601\) | 10.2267 | − | 17.7131i | 0.417155 | − | 0.722534i | −0.578497 | − | 0.815685i | \(-0.696360\pi\) |
0.995652 | + | 0.0931506i | \(0.0296938\pi\) | |||||||
\(602\) | 0.276035 | − | 0.591960i | 0.0112504 | − | 0.0241265i | ||||
\(603\) | 18.4713 | − | 35.2330i | 0.752207 | − | 1.43480i | ||||
\(604\) | 18.7006 | + | 3.29743i | 0.760918 | + | 0.134170i | ||||
\(605\) | −1.63720 | + | 16.0256i | −0.0665615 | + | 0.651531i | ||||
\(606\) | −26.6952 | − | 0.621233i | −1.08442 | − | 0.0252359i | ||||
\(607\) | −7.03076 | − | 7.03076i | −0.285370 | − | 0.285370i | 0.549876 | − | 0.835246i | \(-0.314675\pi\) |
−0.835246 | + | 0.549876i | \(0.814675\pi\) | |||||||
\(608\) | −0.709152 | + | 4.30083i | −0.0287599 | + | 0.174422i | ||||
\(609\) | −1.39773 | − | 1.22937i | −0.0566391 | − | 0.0498167i | ||||
\(610\) | −15.1545 | + | 2.44548i | −0.613586 | + | 0.0990145i | ||||
\(611\) | 19.1424 | − | 52.5934i | 0.774420 | − | 2.12770i | ||||
\(612\) | −6.33873 | + | 5.77464i | −0.256228 | + | 0.233426i | ||||
\(613\) | −23.7076 | − | 16.6002i | −0.957540 | − | 0.670476i | −0.0133611 | − | 0.999911i | \(-0.504253\pi\) |
−0.944179 | + | 0.329434i | \(0.893142\pi\) | |||||||
\(614\) | 28.1264 | − | 10.2372i | 1.13509 | − | 0.413139i | ||||
\(615\) | −0.551942 | + | 2.56012i | −0.0222564 | + | 0.103234i | ||||
\(616\) | −0.964278 | − | 1.67018i | −0.0388519 | − | 0.0672934i | ||||
\(617\) | −47.2470 | + | 4.13357i | −1.90209 | + | 0.166411i | −0.976987 | − | 0.213301i | \(-0.931579\pi\) |
−0.925105 | + | 0.379712i | \(0.876023\pi\) | |||||||
\(618\) | −0.0988486 | + | 0.134403i | −0.00397627 | + | 0.00540649i | ||||
\(619\) | −0.691678 | + | 0.399341i | −0.0278009 | + | 0.0160509i | −0.513836 | − | 0.857888i | \(-0.671776\pi\) |
0.486035 | + | 0.873939i | \(0.338443\pi\) | |||||||
\(620\) | −0.252636 | + | 0.890827i | −0.0101461 | + | 0.0357765i | ||||
\(621\) | 14.0521 | + | 3.50341i | 0.563892 | + | 0.140587i | ||||
\(622\) | −13.2859 | + | 18.9743i | −0.532717 | + | 0.760799i | ||||
\(623\) | −13.7458 | + | 9.62490i | −0.550713 | + | 0.385614i | ||||
\(624\) | −9.11443 | + | 4.98316i | −0.364869 | + | 0.199486i | ||||
\(625\) | −2.90257 | − | 24.8309i | −0.116103 | − | 0.993237i | ||||
\(626\) | 6.31589i | 0.252434i | ||||||||
\(627\) | 12.8271 | − | 7.19932i | 0.512263 | − | 0.287513i | ||||
\(628\) | 8.49638 | − | 8.49638i | 0.339042 | − | 0.339042i | ||||
\(629\) | −21.6167 | + | 18.1386i | −0.861914 | + | 0.723232i | ||||
\(630\) | 0.173890 | + | 6.63796i | 0.00692794 | + | 0.264463i | ||||
\(631\) | 0.491998 | − | 2.79026i | 0.0195861 | − | 0.111078i | −0.973447 | − | 0.228911i | \(-0.926484\pi\) |
0.993033 | + | 0.117833i | \(0.0375946\pi\) | |||||||
\(632\) | −8.50218 | − | 5.95329i | −0.338199 | − | 0.236809i | ||||
\(633\) | −23.5089 | + | 10.3035i | −0.934394 | + | 0.409526i | ||||
\(634\) | −2.15691 | − | 1.24529i | −0.0856619 | − | 0.0494569i | ||||
\(635\) | 32.2844 | + | 0.469512i | 1.28117 | + | 0.0186320i | ||||
\(636\) | −14.7379 | + | 2.24650i | −0.584395 | + | 0.0890795i | ||||
\(637\) | 3.14676 | + | 35.9676i | 0.124679 | + | 1.42509i | ||||
\(638\) | −0.547476 | + | 2.04321i | −0.0216748 | + | 0.0808914i | ||||
\(639\) | 24.8282 | + | 10.3686i | 0.982187 | + | 0.410177i | ||||
\(640\) | −0.420270 | + | 2.19622i | −0.0166126 | + | 0.0868131i | ||||
\(641\) | 7.30973 | − | 1.28890i | 0.288717 | − | 0.0509086i | −0.0274140 | − | 0.999624i | \(-0.508727\pi\) |
0.316131 | + | 0.948716i | \(0.397616\pi\) | |||||||
\(642\) | 10.0895 | + | 1.11980i | 0.398203 | + | 0.0441949i | ||||
\(643\) | 11.1232 | − | 5.18684i | 0.438657 | − | 0.204549i | −0.190728 | − | 0.981643i | \(-0.561085\pi\) |
0.629385 | + | 0.777094i | \(0.283307\pi\) | |||||||
\(644\) | −2.11342 | + | 1.77337i | −0.0832804 | + | 0.0698806i | ||||
\(645\) | 2.27364 | + | 1.16680i | 0.0895243 | + | 0.0459427i | ||||
\(646\) | 12.3985 | − | 1.22375i | 0.487814 | − | 0.0481478i | ||||
\(647\) | −31.8896 | + | 31.8896i | −1.25371 | + | 1.25371i | −0.299666 | + | 0.954044i | \(0.596875\pi\) |
−0.954044 | + | 0.299666i | \(0.903125\pi\) | |||||||
\(648\) | −8.87219 | + | 1.51138i | −0.348532 | + | 0.0593727i | ||||
\(649\) | −0.867082 | + | 2.38229i | −0.0340360 | + | 0.0935130i | ||||
\(650\) | −28.4647 | + | 9.43232i | −1.11648 | + | 0.369966i | ||||
\(651\) | 0.369197 | − | 0.606433i | 0.0144700 | − | 0.0237680i | ||||
\(652\) | −4.57557 | − | 2.13362i | −0.179193 | − | 0.0835592i | ||||
\(653\) | −34.4800 | + | 9.23889i | −1.34931 | + | 0.361546i | −0.859879 | − | 0.510498i | \(-0.829461\pi\) |
−0.489428 | + | 0.872044i | \(0.662794\pi\) | |||||||
\(654\) | −3.57778 | + | 17.8513i | −0.139902 | + | 0.698043i | ||||
\(655\) | 5.76635 | + | 2.79168i | 0.225310 | + | 0.109080i | ||||
\(656\) | 0.434658 | − | 0.518006i | 0.0169706 | − | 0.0202247i | ||||
\(657\) | 18.8682 | + | 2.53975i | 0.736119 | + | 0.0990853i | ||||
\(658\) | 2.39089 | + | 8.92292i | 0.0932066 | + | 0.347852i | ||||
\(659\) | −1.90152 | + | 0.692096i | −0.0740726 | + | 0.0269602i | −0.378791 | − | 0.925482i | \(-0.623660\pi\) |
0.304718 | + | 0.952443i | \(0.401438\pi\) | |||||||
\(660\) | 6.67272 | − | 3.52314i | 0.259735 | − | 0.137138i | ||||
\(661\) | −6.69202 | + | 37.9523i | −0.260289 | + | 1.47617i | 0.521832 | + | 0.853048i | \(0.325249\pi\) |
−0.782122 | + | 0.623126i | \(0.785862\pi\) | |||||||
\(662\) | −28.9801 | + | 13.5136i | −1.12634 | + | 0.525222i | ||||
\(663\) | 20.5003 | + | 21.4772i | 0.796167 | + | 0.834106i | ||||
\(664\) | 7.05884i | 0.273936i | ||||||||
\(665\) | 5.56094 | − | 7.88421i | 0.215644 | − | 0.305737i | ||||
\(666\) | −29.3758 | + | 3.78073i | −1.13829 | + | 0.146500i | ||||
\(667\) | 3.01448 | + | 0.263733i | 0.116721 | + | 0.0102118i | ||||
\(668\) | 7.08963 | + | 15.2038i | 0.274306 | + | 0.588251i | ||||
\(669\) | −18.6143 | − | 23.2620i | −0.719670 | − | 0.899360i | ||||
\(670\) | −27.0525 | + | 12.1391i | −1.04513 | + | 0.468973i | ||||
\(671\) | −4.57450 | − | 12.5683i | −0.176597 | − | 0.485195i | ||||
\(672\) | 0.760535 | − | 1.53659i | 0.0293383 | − | 0.0592752i | ||||
\(673\) | −19.9158 | − | 5.33641i | −0.767696 | − | 0.205704i | −0.146343 | − | 0.989234i | \(-0.546750\pi\) |
−0.621353 | + | 0.783530i | \(0.713417\pi\) | |||||||
\(674\) | −5.64773 | − | 4.73901i | −0.217543 | − | 0.182540i | ||||
\(675\) | −25.9790 | − | 0.301858i | −0.999933 | − | 0.0116185i | ||||
\(676\) | 11.4841 | + | 19.8911i | 0.441697 | + | 0.765042i | ||||
\(677\) | −0.515270 | − | 1.92301i | −0.0198034 | − | 0.0739074i | 0.955317 | − | 0.295583i | \(-0.0955140\pi\) |
−0.975120 | + | 0.221676i | \(0.928847\pi\) | |||||||
\(678\) | −22.0003 | + | 9.64232i | −0.844918 | + | 0.370311i | ||||
\(679\) | 9.90058 | − | 1.74574i | 0.379950 | − | 0.0669954i | ||||
\(680\) | 6.37433 | − | 0.464389i | 0.244445 | − | 0.0178085i | ||||
\(681\) | 37.0380 | − | 20.2499i | 1.41930 | − | 0.775979i | ||||
\(682\) | −0.803720 | − | 0.0703164i | −0.0307760 | − | 0.00269255i | ||||
\(683\) | 25.4468 | + | 25.4468i | 0.973695 | + | 0.973695i | 0.999663 | − | 0.0259681i | \(-0.00826683\pi\) |
−0.0259681 | + | 0.999663i | \(0.508267\pi\) | |||||||
\(684\) | 11.6484 | + | 5.94266i | 0.445387 | + | 0.227223i | ||||
\(685\) | 22.6578 | + | 13.5245i | 0.865710 | + | 0.516746i | ||||
\(686\) | −8.28441 | − | 9.87297i | −0.316300 | − | 0.376952i | ||||
\(687\) | −4.15041 | + | 14.1629i | −0.158348 | + | 0.540349i | ||||
\(688\) | −0.378469 | − | 0.540510i | −0.0144290 | − | 0.0206067i | ||||
\(689\) | 8.96380 | + | 50.8362i | 0.341493 | + | 1.93671i | ||||
\(690\) | −6.62100 | − | 8.52539i | −0.252057 | − | 0.324556i | ||||
\(691\) | 0.00818857 | − | 0.0141830i | 0.000311508 | − | 0.000539548i | −0.865870 | − | 0.500270i | \(-0.833234\pi\) |
0.866181 | + | 0.499730i | \(0.166568\pi\) | |||||||
\(692\) | −13.7418 | − | 3.68210i | −0.522385 | − | 0.139973i | ||||
\(693\) | −5.65213 | + | 1.23586i | −0.214707 | + | 0.0469463i | ||||
\(694\) | 17.1924 | − | 20.4891i | 0.652613 | − | 0.777754i | ||||
\(695\) | 7.75527 | + | 7.98417i | 0.294174 | + | 0.302857i | ||||
\(696\) | −1.78158 | + | 0.601886i | −0.0675308 | + | 0.0228144i | ||||
\(697\) | −1.75168 | − | 0.816823i | −0.0663497 | − | 0.0309394i | ||||
\(698\) | 14.4331 | − | 20.6126i | 0.546300 | − | 0.780197i | ||||
\(699\) | 27.0832 | − | 21.6720i | 1.02438 | − | 0.819711i | ||||
\(700\) | 2.95552 | − | 3.97000i | 0.111708 | − | 0.150052i | ||||
\(701\) | −6.87555 | − | 8.19396i | −0.259686 | − | 0.309482i | 0.620410 | − | 0.784278i | \(-0.286966\pi\) |
−0.880096 | + | 0.474796i | \(0.842522\pi\) | |||||||
\(702\) | 5.94657 | + | 30.5905i | 0.224439 | + | 1.15457i | ||||
\(703\) | 37.5055 | + | 21.1015i | 1.41455 | + | 0.795857i | ||||
\(704\) | −1.94829 | −0.0734291 | ||||||||
\(705\) | −35.2407 | + | 8.02829i | −1.32724 | + | 0.302363i | ||||
\(706\) | 5.75484 | + | 2.09459i | 0.216586 | + | 0.0788309i | ||||
\(707\) | −8.75305 | − | 12.5006i | −0.329192 | − | 0.470135i | ||||
\(708\) | −2.18998 | + | 0.532520i | −0.0823046 | + | 0.0200133i | ||||
\(709\) | −14.5263 | − | 39.9106i | −0.545545 | − | 1.49887i | −0.839665 | − | 0.543104i | \(-0.817249\pi\) |
0.294121 | − | 0.955768i | \(-0.404973\pi\) | |||||||
\(710\) | −9.77376 | − | 17.5119i | −0.366803 | − | 0.657210i | ||||
\(711\) | −24.7581 | + | 18.8837i | −0.928502 | + | 0.708195i | ||||
\(712\) | 1.47749 | + | 16.8877i | 0.0553711 | + | 0.632895i | ||||
\(713\) | 0.100590 | + | 1.14975i | 0.00376714 | + | 0.0430586i | ||||
\(714\) | −4.80491 | − | 0.963004i | −0.179819 | − | 0.0360395i | ||||
\(715\) | −12.7334 | − | 22.8147i | −0.476201 | − | 0.853222i | ||||
\(716\) | 8.17883 | + | 22.4712i | 0.305657 | + | 0.839787i | ||||
\(717\) | −7.02509 | − | 28.8906i | −0.262357 | − | 1.07894i | ||||
\(718\) | −6.25561 | − | 8.93394i | −0.233457 | − | 0.333412i | ||||
\(719\) | 42.2585 | + | 15.3808i | 1.57598 | + | 0.573608i | 0.974324 | − | 0.225150i | \(-0.0722871\pi\) |
0.601652 | + | 0.798758i | \(0.294509\pi\) | |||||||
\(720\) | 5.89532 | + | 3.20082i | 0.219706 | + | 0.119287i | ||||
\(721\) | −0.0953487 | −0.00355097 | ||||||||
\(722\) | −8.41056 | − | 17.0371i | −0.313009 | − | 0.634055i | ||||
\(723\) | 7.08908 | − | 0.454317i | 0.263646 | − | 0.0168962i | ||||
\(724\) | −11.1147 | − | 13.2459i | −0.413073 | − | 0.492282i | ||||
\(725\) | −5.37124 | + | 0.786798i | −0.199483 | + | 0.0292209i | ||||
\(726\) | −7.79612 | − | 9.74268i | −0.289341 | − | 0.361585i | ||||
\(727\) | −6.08564 | + | 8.69119i | −0.225704 | + | 0.322339i | −0.915992 | − | 0.401196i | \(-0.868595\pi\) |
0.690288 | + | 0.723534i | \(0.257484\pi\) | |||||||
\(728\) | −5.38038 | − | 2.50891i | −0.199410 | − | 0.0929865i | ||||
\(729\) | −3.75704 | + | 26.7373i | −0.139150 | + | 0.990271i | ||||
\(730\) | −9.88713 | − | 10.1790i | −0.365939 | − | 0.376740i | ||||
\(731\) | −1.21229 | + | 1.44475i | −0.0448381 | + | 0.0534360i | ||||
\(732\) | 7.04484 | − | 9.57878i | 0.260385 | − | 0.354042i | ||||
\(733\) | −51.1849 | − | 13.7149i | −1.89056 | − | 0.506573i | −0.998506 | − | 0.0546376i | \(-0.982600\pi\) |
−0.892051 | − | 0.451936i | \(-0.850734\pi\) | |||||||
\(734\) | −13.2710 | + | 22.9860i | −0.489841 | + | 0.848429i | ||||
\(735\) | 18.4148 | − | 14.3014i | 0.679241 | − | 0.527514i | ||||
\(736\) | 0.483977 | + | 2.74477i | 0.0178396 | + | 0.101174i | ||||
\(737\) | −14.8185 | − | 21.1630i | −0.545846 | − | 0.779548i | ||||
\(738\) | −1.08501 | − | 1.71408i | −0.0399398 | − | 0.0630961i | ||||
\(739\) | −30.1451 | − | 35.9256i | −1.10891 | − | 1.32154i | −0.942016 | − | 0.335567i | \(-0.891072\pi\) |
−0.166890 | − | 0.985976i | \(-0.553372\pi\) | |||||||
\(740\) | 18.9559 | + | 11.3149i | 0.696832 | + | 0.415942i | ||||
\(741\) | 19.6330 | − | 40.8012i | 0.721235 | − | 1.49887i | ||||
\(742\) | −6.02455 | − | 6.02455i | −0.221168 | − | 0.221168i | ||||
\(743\) | −28.8612 | − | 2.52503i | −1.05881 | − | 0.0926342i | −0.455577 | − | 0.890196i | \(-0.650567\pi\) |
−0.603237 | + | 0.797562i | \(0.706123\pi\) | |||||||
\(744\) | −0.344074 | − | 0.629326i | −0.0126144 | − | 0.0230722i | ||||
\(745\) | 20.0940 | − | 1.46391i | 0.736187 | − | 0.0536334i | ||||
\(746\) | 18.7314 | − | 3.30286i | 0.685806 | − | 0.120926i | ||||
\(747\) | 20.1778 | + | 6.42646i | 0.738268 | + | 0.235132i | ||||
\(748\) | 1.44129 | + | 5.37895i | 0.0526986 | + | 0.196674i | ||||
\(749\) | 2.90080 | + | 5.02433i | 0.105993 | + | 0.183585i | ||||
\(750\) | 15.0849 | + | 12.1427i | 0.550822 | + | 0.443390i | ||||
\(751\) | −6.27400 | − | 5.26451i | −0.228942 | − | 0.192105i | 0.521100 | − | 0.853496i | \(-0.325522\pi\) |
−0.750041 | + | 0.661391i | \(0.769966\pi\) | |||||||
\(752\) | 9.01425 | + | 2.41536i | 0.328716 | + | 0.0880791i | ||||
\(753\) | −18.8868 | − | 9.34802i | −0.688273 | − | 0.340661i | ||||
\(754\) | 2.22703 | + | 6.11871i | 0.0811036 | + | 0.222830i | ||||
\(755\) | −38.7396 | + | 17.3833i | −1.40988 | + | 0.632643i | ||||
\(756\) | −3.69997 | − | 3.57294i | −0.134567 | − | 0.129946i | ||||
\(757\) | 0.483510 | + | 1.03689i | 0.0175735 | + | 0.0376864i | 0.914899 | − | 0.403684i | \(-0.132270\pi\) |
−0.897325 | + | 0.441370i | \(0.854493\pi\) | |||||||
\(758\) | −30.0215 | − | 2.62654i | −1.09043 | − | 0.0954002i | ||||
\(759\) | 6.21155 | − | 7.06223i | 0.225465 | − | 0.256343i | ||||
\(760\) | −4.08888 | − | 8.84766i | −0.148319 | − | 0.320938i | ||||
\(761\) | − | 2.12300i | − | 0.0769588i | −0.999259 | − | 0.0384794i | \(-0.987749\pi\) | ||
0.999259 | − | 0.0384794i | \(-0.0122514\pi\) | |||||||
\(762\) | −18.0914 | + | 17.2686i | −0.655384 | + | 0.625574i | ||||
\(763\) | −9.43008 | + | 4.39732i | −0.341392 | + | 0.159194i | ||||
\(764\) | 0.308792 | − | 1.75125i | 0.0111717 | − | 0.0633580i | ||||
\(765\) | 4.47581 | − | 18.6440i | 0.161823 | − | 0.674074i | ||||
\(766\) | −3.84501 | + | 1.39947i | −0.138926 | + | 0.0505648i | ||||
\(767\) | 2.01981 | + | 7.53802i | 0.0729310 | + | 0.272182i | ||||
\(768\) | −0.960186 | − | 1.44154i | −0.0346477 | − | 0.0520172i | ||||
\(769\) | 17.0304 | − | 20.2961i | 0.614133 | − | 0.731895i | −0.365917 | − | 0.930648i | \(-0.619244\pi\) |
0.980050 | + | 0.198752i | \(0.0636889\pi\) | |||||||
\(770\) | 3.88143 | + | 1.87913i | 0.139877 | + | 0.0677192i | ||||
\(771\) | 10.3032 | + | 2.06497i | 0.371060 | + | 0.0743682i | ||||
\(772\) | 6.94024 | − | 1.85963i | 0.249785 | − | 0.0669296i | ||||
\(773\) | −45.2698 | − | 21.1096i | −1.62824 | − | 0.759261i | −0.628414 | − | 0.777879i | \(-0.716296\pi\) |
−0.999827 | + | 0.0186177i | \(0.994073\pi\) | |||||||
\(774\) | −1.88962 | + | 0.589774i | −0.0679211 | + | 0.0211990i | ||||
\(775\) | −0.651276 | − | 1.96541i | −0.0233945 | − | 0.0705995i | ||||
\(776\) | 3.47363 | − | 9.54372i | 0.124696 | − | 0.342600i | ||||
\(777\) | −11.6873 | − | 12.2443i | −0.419281 | − | 0.439260i | ||||
\(778\) | 6.07268 | − | 6.07268i | 0.217716 | − | 0.217716i | ||||
\(779\) | −0.224239 | + | 2.93898i | −0.00803419 | + | 0.105300i | ||||
\(780\) | 10.6052 | − | 20.6653i | 0.379726 | − | 0.739936i | ||||
\(781\) | 13.3857 | − | 11.2319i | 0.478977 | − | 0.401910i | ||||
\(782\) | 7.21987 | − | 3.36668i | 0.258182 | − | 0.120392i | ||||
\(783\) | 0.0985247 | + | 5.64066i | 0.00352099 | + | 0.201581i | ||||
\(784\) | −5.92870 | + | 1.04539i | −0.211739 | + | 0.0373354i | ||||
\(785\) | −5.04983 | + | 26.3891i | −0.180236 | + | 0.941867i | ||||
\(786\) | −4.70146 | + | 1.58833i | −0.167696 | + | 0.0566539i | ||||
\(787\) | 2.89392 | − | 10.8003i | 0.103157 | − | 0.384988i | −0.894972 | − | 0.446121i | \(-0.852805\pi\) |
0.998130 | + | 0.0611338i | \(0.0194716\pi\) | |||||||
\(788\) | 0.205439 | + | 2.34818i | 0.00731848 | + | 0.0836506i | ||||
\(789\) | 3.36542 | + | 22.0784i | 0.119812 | + | 0.786013i | ||||
\(790\) | 23.2063 | + | 0.337488i | 0.825642 | + | 0.0120073i | ||||
\(791\) | −11.8886 | − | 6.86390i | −0.422711 | − | 0.244052i | ||||
\(792\) | −1.77375 | + | 5.56924i | −0.0630276 | + | 0.197894i | ||||
\(793\) | −33.7258 | − | 23.6150i | −1.19764 | − | 0.838594i | ||||
\(794\) | 5.23929 | − | 29.7135i | 0.185935 | − | 1.05449i | ||||
\(795\) | 24.4460 | − | 22.6639i | 0.867009 | − | 0.803807i | ||||
\(796\) | 4.81316 | − | 4.03872i | 0.170598 | − | 0.143149i | ||||
\(797\) | 10.2625 | − | 10.2625i | 0.363515 | − | 0.363515i | −0.501590 | − | 0.865105i | \(-0.667252\pi\) |
0.865105 | + | 0.501590i | \(0.167252\pi\) | |||||||
\(798\) | 1.20821 | + | 7.37503i | 0.0427701 | + | 0.261073i | ||||
\(799\) | − | 26.6738i | − | 0.943651i | ||||||
\(800\) | −1.98042 | − | 4.59107i | −0.0700185 | − | 0.162319i | ||||
\(801\) | 49.6191 | + | 11.1514i | 1.75321 | + | 0.394016i | ||||
\(802\) | 18.0072 | − | 12.6088i | 0.635856 | − | 0.445231i | ||||
\(803\) | 7.09177 | − | 10.1281i | 0.250263 | − | 0.357413i | ||||
\(804\) | 8.35543 | − | 21.3940i | 0.294673 | − | 0.754509i | ||||
\(805\) | 1.68314 | − | 5.93498i | 0.0593230 | − | 0.209181i | ||||
\(806\) | −2.15078 | + | 1.24175i | −0.0757580 | + | 0.0437389i | ||||
\(807\) | 5.30170 | + | 3.89920i | 0.186629 | + | 0.137258i | ||||
\(808\) | −15.3580 | + | 1.34365i | −0.540292 | + | 0.0472695i | ||||
\(809\) | −11.6162 | − | 20.1198i | −0.408402 | − | 0.707374i | 0.586308 | − | 0.810088i | \(-0.300581\pi\) |
−0.994711 | + | 0.102714i | \(0.967247\pi\) | |||||||
\(810\) | 14.5168 | − | 13.9378i | 0.510068 | − | 0.489725i | ||||
\(811\) | 18.6817 | − | 6.79958i | 0.656003 | − | 0.238766i | 0.00749342 | − | 0.999972i | \(-0.497615\pi\) |
0.648510 | + | 0.761206i | \(0.275393\pi\) | |||||||
\(812\) | −0.880352 | − | 0.616429i | −0.0308943 | − | 0.0216324i | ||||
\(813\) | 0.516462 | − | 4.65340i | 0.0181131 | − | 0.163202i | ||||
\(814\) | −6.57873 | + | 18.0749i | −0.230584 | + | 0.633526i | ||||
\(815\) | 11.1448 | − | 1.79844i | 0.390386 | − | 0.0629966i | ||||
\(816\) | −3.26957 | + | 3.71734i | −0.114458 | + | 0.130133i | ||||
\(817\) | 2.71349 | + | 0.953608i | 0.0949330 | + | 0.0333625i | ||||
\(818\) | 24.1651 | + | 24.1651i | 0.844913 | + | 0.844913i | ||||
\(819\) | −12.0702 | + | 13.0958i | −0.421765 | + | 0.457604i | ||||
\(820\) | −0.153673 | + | 1.50422i | −0.00536651 | + | 0.0525296i | ||||
\(821\) | −16.5219 | − | 2.91326i | −0.576619 | − | 0.101673i | −0.122269 | − | 0.992497i | \(-0.539017\pi\) |
−0.454350 | + | 0.890824i | \(0.650128\pi\) | |||||||
\(822\) | −19.8608 | + | 4.82938i | −0.692724 | + | 0.168444i | ||||
\(823\) | −11.1077 | + | 23.8204i | −0.387188 | + | 0.830328i | 0.612031 | + | 0.790833i | \(0.290353\pi\) |
−0.999220 | + | 0.0394947i | \(0.987425\pi\) | |||||||
\(824\) | −0.0481623 | + | 0.0834195i | −0.00167781 | + | 0.00290606i | ||||
\(825\) | −7.92113 | + | 14.8978i | −0.275778 | + | 0.518675i | ||||
\(826\) | −0.986701 | − | 0.827941i | −0.0343317 | − | 0.0288077i | ||||
\(827\) | 21.6162 | − | 1.89117i | 0.751668 | − | 0.0657624i | 0.295119 | − | 0.955461i | \(-0.404641\pi\) |
0.456549 | + | 0.889698i | \(0.349085\pi\) | |||||||
\(828\) | 8.28660 | + | 1.11542i | 0.287979 | + | 0.0387634i | ||||
\(829\) | 0.950996 | + | 0.549058i | 0.0330295 | + | 0.0190696i | 0.516424 | − | 0.856333i | \(-0.327263\pi\) |
−0.483394 | + | 0.875403i | \(0.660596\pi\) | |||||||
\(830\) | −8.86438 | − | 13.0598i | −0.307687 | − | 0.453313i | ||||
\(831\) | −7.41531 | + | 12.1802i | −0.257234 | + | 0.422526i | ||||
\(832\) | −4.91274 | + | 3.43994i | −0.170319 | + | 0.119258i | ||||
\(833\) | 7.27203 | + | 15.5949i | 0.251961 | + | 0.540332i | ||||
\(834\) | −8.61942 | − | 0.200585i | −0.298466 | − | 0.00694570i | ||||
\(835\) | −32.2094 | − | 19.2260i | −1.11465 | − | 0.665342i | ||||
\(836\) | 6.90201 | − | 4.94808i | 0.238711 | − | 0.171133i | ||||
\(837\) | −2.11219 | + | 0.410594i | −0.0730080 | + | 0.0141922i | ||||
\(838\) | 3.40820 | − | 38.9559i | 0.117734 | − | 1.34571i | ||||
\(839\) | −28.5912 | − | 10.4063i | −0.987078 | − | 0.359267i | −0.202490 | − | 0.979284i | \(-0.564903\pi\) |
−0.784588 | + | 0.620017i | \(0.787126\pi\) | |||||||
\(840\) | 0.522533 | + | 3.79797i | 0.0180291 | + | 0.131042i | ||||
\(841\) | −4.83111 | − | 27.3986i | −0.166590 | − | 0.944778i | ||||
\(842\) | −8.12811 | + | 17.4308i | −0.280113 | + | 0.600705i | ||||
\(843\) | −9.07570 | − | 4.49202i | −0.312584 | − | 0.154713i | ||||
\(844\) | −12.8338 | + | 7.40961i | −0.441759 | + | 0.255049i | ||||
\(845\) | −46.2261 | − | 22.3796i | −1.59023 | − | 0.769883i | ||||
\(846\) | 15.1111 | − | 23.5684i | 0.519529 | − | 0.810300i | ||||
\(847\) | 1.84568 | − | 6.88817i | 0.0634183 | − | 0.236680i | ||||
\(848\) | −8.31392 | + | 2.22771i | −0.285501 | + | 0.0764998i | ||||
\(849\) | 9.40401 | − | 24.0789i | 0.322745 | − | 0.826387i | ||||
\(850\) | −11.2102 | + | 8.86398i | −0.384507 | + | 0.304032i | ||||
\(851\) | 27.0983 | + | 4.77816i | 0.928917 | + | 0.163793i | ||||
\(852\) | 14.9074 | + | 4.36859i | 0.510720 | + | 0.149665i | ||||
\(853\) | 4.23609 | − | 48.4187i | 0.145041 | − | 1.65782i | −0.480027 | − | 0.877254i | \(-0.659373\pi\) |
0.625068 | − | 0.780570i | \(-0.285071\pi\) | |||||||
\(854\) | 6.79540 | 0.232534 | ||||||||
\(855\) | −29.0138 | + | 3.63314i | −0.992251 | + | 0.124251i | ||||
\(856\) | 5.86097 | 0.200324 | ||||||||
\(857\) | −2.29778 | + | 26.2638i | −0.0784907 | + | 0.897153i | 0.850239 | + | 0.526396i | \(0.176457\pi\) |
−0.928730 | + | 0.370757i | \(0.879098\pi\) | |||||||
\(858\) | 19.4216 | + | 5.69145i | 0.663042 | + | 0.194303i | ||||
\(859\) | −15.7329 | − | 2.77414i | −0.536800 | − | 0.0946524i | −0.101325 | − | 0.994853i | \(-0.532308\pi\) |
−0.435475 | + | 0.900201i | \(0.643419\pi\) | |||||||
\(860\) | 1.37898 | + | 0.524741i | 0.0470229 | + | 0.0178935i | ||||
\(861\) | 0.421763 | − | 1.07992i | 0.0143737 | − | 0.0368037i | ||||
\(862\) | −12.2009 | + | 3.26923i | −0.415565 | + | 0.111350i | ||||
\(863\) | −11.4475 | + | 42.7227i | −0.389678 | + | 1.45430i | 0.440981 | + | 0.897517i | \(0.354631\pi\) |
−0.830659 | + | 0.556782i | \(0.812036\pi\) | |||||||
\(864\) | −4.99485 | + | 1.43231i | −0.169928 | + | 0.0487283i | ||||
\(865\) | 30.0481 | − | 10.4444i | 1.02167 | − | 0.355119i | ||||
\(866\) | 10.2175 | − | 5.89907i | 0.347204 | − | 0.200458i | ||||
\(867\) | −13.7076 | − | 6.78460i | −0.465536 | − | 0.230417i | ||||
\(868\) | 0.173233 | − | 0.371500i | 0.00587993 | − | 0.0126095i | ||||
\(869\) | 3.51149 | + | 19.9146i | 0.119119 | + | 0.675557i | ||||
\(870\) | 2.54033 | − | 3.35086i | 0.0861254 | − | 0.113605i | ||||
\(871\) | −74.7314 | − | 27.2000i | −2.53218 | − | 0.921637i | ||||
\(872\) | −0.916132 | + | 10.4714i | −0.0310242 | + | 0.354608i | ||||
\(873\) | −24.1185 | − | 18.6182i | −0.816287 | − | 0.630130i | ||||
\(874\) | −8.68541 | − | 8.49444i | −0.293788 | − | 0.287329i | ||||
\(875\) | −0.482657 | + | 11.0565i | −0.0163168 | + | 0.373779i | ||||
\(876\) | 10.9888 | + | 0.255725i | 0.371278 | + | 0.00864014i | ||||
\(877\) | 20.8875 | + | 44.7934i | 0.705320 | + | 1.51256i | 0.852091 | + | 0.523394i | \(0.175334\pi\) |
−0.146771 | + | 0.989171i | \(0.546888\pi\) | |||||||
\(878\) | 26.7037 | − | 18.6981i | 0.901206 | − | 0.631031i | ||||
\(879\) | 14.2963 | − | 23.4828i | 0.482203 | − | 0.792054i | ||||
\(880\) | 3.60461 | − | 2.44664i | 0.121511 | − | 0.0824762i | ||||
\(881\) | −6.46178 | − | 3.73071i | −0.217703 | − | 0.125691i | 0.387183 | − | 0.922003i | \(-0.373448\pi\) |
−0.604886 | + | 0.796312i | \(0.706781\pi\) | |||||||
\(882\) | −2.40930 | + | 17.8991i | −0.0811254 | + | 0.602693i | ||||
\(883\) | 43.7282 | − | 3.82572i | 1.47157 | − | 0.128746i | 0.677030 | − | 0.735956i | \(-0.263267\pi\) |
0.794542 | + | 0.607210i | \(0.207711\pi\) | |||||||
\(884\) | 13.1315 | + | 11.0186i | 0.441659 | + | 0.370596i | ||||
\(885\) | 3.38303 | − | 3.73538i | 0.113719 | − | 0.125563i | ||||
\(886\) | −2.51597 | + | 4.35779i | −0.0845257 | + | 0.146403i | ||||
\(887\) | 5.83964 | − | 12.5232i | 0.196076 | − | 0.420486i | −0.783547 | − | 0.621333i | \(-0.786591\pi\) |
0.979623 | + | 0.200847i | \(0.0643693\pi\) | |||||||
\(888\) | −16.6158 | + | 4.04034i | −0.557591 | + | 0.135585i | ||||
\(889\) | −14.0761 | − | 2.48200i | −0.472098 | − | 0.0832437i | ||||
\(890\) | −23.9409 | − | 29.3892i | −0.802502 | − | 0.985129i | ||||
\(891\) | 14.3049 | + | 10.1406i | 0.479234 | + | 0.339724i | ||||
\(892\) | −12.1629 | − | 12.1629i | −0.407243 | − | 0.407243i | ||||
\(893\) | −38.0681 | + | 14.3368i | −1.27390 | + | 0.479764i | ||||
\(894\) | −10.3067 | + | 11.7183i | −0.344709 | + | 0.391917i | ||||
\(895\) | −43.3509 | − | 31.3038i | −1.44906 | − | 1.04637i | ||||
\(896\) | 0.338555 | − | 0.930172i | 0.0113103 | − | 0.0310749i | ||||
\(897\) | 3.19363 | − | 28.7751i | 0.106632 | − | 0.960771i | ||||
\(898\) | −24.9639 | − | 17.4799i | −0.833058 | − | 0.583313i | ||||
\(899\) | −0.422480 | + | 0.153770i | −0.0140905 | + | 0.00512852i | ||||
\(900\) | −14.9267 | + | 1.48130i | −0.497556 | + | 0.0493768i | ||||
\(901\) | 12.3007 | + | 21.3055i | 0.409797 | + | 0.709790i | ||||
\(902\) | −1.31244 | + | 0.114824i | −0.0436995 | + | 0.00382321i | ||||
\(903\) | −0.911358 | − | 0.670270i | −0.0303281 | − | 0.0223052i | ||||
\(904\) | −12.0103 | + | 6.93415i | −0.399457 | + | 0.230626i | ||||
\(905\) | 37.1977 | + | 10.5492i | 1.23649 | + | 0.350666i | ||||
\(906\) | 11.9651 | − | 30.6365i | 0.397513 | − | 1.01783i | ||||
\(907\) | 14.7228 | − | 21.0263i | 0.488862 | − | 0.698167i | −0.496616 | − | 0.867970i | \(-0.665424\pi\) |
0.985478 | + | 0.169803i | \(0.0543132\pi\) | |||||||
\(908\) | 19.9638 | − | 13.9788i | 0.662521 | − | 0.463902i | ||||
\(909\) | −10.1413 | + | 45.1244i | −0.336365 | + | 1.49668i | ||||
\(910\) | 13.1051 | − | 2.11477i | 0.434430 | − | 0.0701040i | ||||
\(911\) | 26.0118i | 0.861809i | 0.902398 | + | 0.430904i | \(0.141805\pi\) | ||||
−0.902398 | + | 0.430904i | \(0.858195\pi\) | |||||||
\(912\) | 7.06262 | + | 2.66821i | 0.233867 | + | 0.0883533i | ||||
\(913\) | 9.72462 | − | 9.72462i | 0.321838 | − | 0.321838i | ||||
\(914\) | −2.44313 | + | 2.05003i | −0.0808117 | + | 0.0678091i | ||||
\(915\) | −1.00502 | + | 26.5688i | −0.0332250 | + | 0.878339i | ||||
\(916\) | −1.47963 | + | 8.39139i | −0.0488883 | + | 0.277259i | ||||
\(917\) | −2.32318 | − | 1.62671i | −0.0767182 | − | 0.0537187i | ||||
\(918\) | 7.64943 | + | 12.7304i | 0.252469 | + | 0.420167i | ||||
\(919\) | −13.5876 | − | 7.84479i | −0.448213 | − | 0.258776i | 0.258862 | − | 0.965914i | \(-0.416652\pi\) |
−0.707075 | + | 0.707138i | \(0.749986\pi\) | |||||||
\(920\) | −4.34226 | − | 4.47043i | −0.143160 | − | 0.147386i | ||||
\(921\) | −7.81219 | − | 51.2510i | −0.257421 | − | 1.68878i | ||||
\(922\) | −1.95203 | − | 22.3118i | −0.0642866 | − | 0.734800i | ||||
\(923\) | 13.9216 | − | 51.9560i | 0.458234 | − | 1.71015i | ||||
\(924\) | −3.16464 | + | 1.06913i | −0.104109 | + | 0.0351719i | ||||
\(925\) | −49.2800 | + | 2.87048i | −1.62032 | + | 0.0943807i | ||||
\(926\) | −13.6577 | + | 2.40821i | −0.448819 | + | 0.0791388i | ||||
\(927\) | 0.194609 | + | 0.213619i | 0.00639180 | + | 0.00701618i | ||||
\(928\) | −0.983989 | + | 0.458842i | −0.0323010 | + | 0.0150622i | ||||
\(929\) | −10.7533 | + | 9.02305i | −0.352803 | + | 0.296037i | −0.801914 | − | 0.597439i | \(-0.796185\pi\) |
0.449112 | + | 0.893476i | \(0.351741\pi\) | |||||||
\(930\) | 1.42688 | + | 0.732257i | 0.0467893 | + | 0.0240117i | ||||
\(931\) | 18.3480 | − | 18.7605i | 0.601331 | − | 0.614850i | ||||
\(932\) | 14.1608 | − | 14.1608i | 0.463853 | − | 0.463853i | ||||
\(933\) | 27.7014 | + | 29.0215i | 0.906905 | + | 0.950120i | ||||
\(934\) | 6.25564 | − | 17.1872i | 0.204691 | − | 0.562384i | ||||
\(935\) | −9.42138 | − | 8.14185i | −0.308112 | − | 0.266267i | ||||
\(936\) | 5.36051 | + | 17.1750i | 0.175214 | + | 0.561381i | ||||
\(937\) | −6.81373 | − | 3.17729i | −0.222595 | − | 0.103798i | 0.308122 | − | 0.951347i | \(-0.400299\pi\) |
−0.530717 | + | 0.847549i | \(0.678077\pi\) | |||||||
\(938\) | 12.6788 | − | 3.39728i | 0.413978 | − | 0.110925i | ||||
\(939\) | 10.7261 | + | 2.14974i | 0.350034 | + | 0.0701542i | ||||
\(940\) | −19.7108 | + | 6.85121i | −0.642894 | + | 0.223462i | ||||
\(941\) | −17.9668 | + | 21.4119i | −0.585699 | + | 0.698009i | −0.974773 | − | 0.223197i | \(-0.928351\pi\) |
0.389074 | + | 0.921207i | \(0.372795\pi\) | |||||||
\(942\) | −11.5373 | − | 17.3211i | −0.375905 | − | 0.564353i | ||||
\(943\) | 0.487788 | + | 1.82045i | 0.0158846 | + | 0.0592820i | ||||
\(944\) | −1.22276 | + | 0.445047i | −0.0397973 | + | 0.0144850i | ||||
\(945\) | 11.3323 | + | 1.96405i | 0.368640 | + | 0.0638906i | ||||
\(946\) | −0.223236 | + | 1.26603i | −0.00725802 | + | 0.0411623i | ||||
\(947\) | 28.5984 | − | 13.3356i | 0.929323 | − | 0.433350i | 0.101814 | − | 0.994803i | \(-0.467535\pi\) |
0.827509 | + | 0.561453i | \(0.189758\pi\) | |||||||
\(948\) | −13.0042 | + | 12.4128i | −0.422358 | + | 0.403147i | ||||
\(949\) | − | 38.0600i | − | 1.23548i | ||||||
\(950\) | 18.6757 | + | 11.2346i | 0.605921 | + | 0.364499i | ||||
\(951\) | −2.84900 | + | 3.23918i | −0.0923853 | + | 0.105037i | ||||
\(952\) | −2.81852 | − | 0.246589i | −0.0913488 | − | 0.00799198i | ||||
\(953\) | 16.0928 | + | 34.5112i | 0.521298 | + | 1.11793i | 0.974059 | + | 0.226295i | \(0.0726615\pi\) |
−0.452761 | + | 0.891632i | \(0.649561\pi\) | |||||||
\(954\) | −1.20116 | + | 25.7937i | −0.0388889 | + | 0.835101i | ||||
\(955\) | 1.62788 | + | 3.62783i | 0.0526771 | + | 0.117394i | ||||
\(956\) | −5.87113 | − | 16.1308i | −0.189886 | − | 0.521708i | ||||
\(957\) | 3.28359 | + | 1.62521i | 0.106143 | + | 0.0525357i | ||||
\(958\) | 0.236904 | + | 0.0634781i | 0.00765401 | + | 0.00205088i | ||||
\(959\) | −8.94831 | − | 7.50853i | −0.288956 | − | 0.242463i | ||||
\(960\) | 3.58674 | + | 1.46126i | 0.115762 | + | 0.0471620i | ||||
\(961\) | 15.4143 | + | 26.6983i | 0.497234 | + | 0.861235i | ||||
\(962\) | 15.3247 | + | 57.1925i | 0.494088 | + | 1.84396i | ||||
\(963\) | 5.33591 | − | 16.7537i | 0.171947 | − | 0.539881i | ||||
\(964\) | 4.03897 | − | 0.712179i | 0.130086 | − | 0.0229377i | ||||
\(965\) | −10.5051 | + | 12.1560i | −0.338171 | + | 0.391316i | ||||
\(966\) | 2.29233 | + | 4.19278i | 0.0737545 | + | 0.134900i | ||||
\(967\) | 3.91548 | + | 0.342560i | 0.125913 | + | 0.0110160i | 0.149938 | − | 0.988695i | \(-0.452093\pi\) |
−0.0240249 | + | 0.999711i | \(0.507648\pi\) | |||||||
\(968\) | −5.09410 | − | 5.09410i | −0.163731 | − | 0.163731i | ||||
\(969\) | 2.14183 | − | 21.4727i | 0.0688055 | − | 0.689803i | ||||
\(970\) | 5.55817 | + | 22.0193i | 0.178462 | + | 0.706997i | ||||
\(971\) | −9.14300 | − | 10.8962i | −0.293413 | − | 0.349676i | 0.599119 | − | 0.800660i | \(-0.295518\pi\) |
−0.892532 | + | 0.450984i | \(0.851073\pi\) | |||||||
\(972\) | −0.453080 | + | 15.5819i | −0.0145325 | + | 0.499789i | ||||
\(973\) | −2.82621 | − | 4.03624i | −0.0906040 | − | 0.129396i | ||||
\(974\) | 0.670749 | + | 3.80401i | 0.0214922 | + | 0.121888i | ||||
\(975\) | 6.33018 | + | 51.5514i | 0.202728 | + | 1.65097i | ||||
\(976\) | 3.43248 | − | 5.94522i | 0.109871 | − | 0.190302i | ||||
\(977\) | −15.8016 | − | 4.23403i | −0.505538 | − | 0.135459i | −0.00296924 | − | 0.999996i | \(-0.500945\pi\) |
−0.502569 | + | 0.864537i | \(0.667612\pi\) | |||||||
\(978\) | −5.18088 | + | 7.04437i | −0.165666 | + | 0.225254i | ||||
\(979\) | 21.2300 | − | 25.3009i | 0.678513 | − | 0.808620i | ||||
\(980\) | 9.65612 | − | 9.37929i | 0.308453 | − | 0.299610i | ||||
\(981\) | 29.0988 | + | 12.1521i | 0.929053 | + | 0.387988i | ||||
\(982\) | −2.47907 | − | 1.15601i | −0.0791104 | − | 0.0368898i | ||||
\(983\) | −11.6787 | + | 16.6789i | −0.372493 | + | 0.531975i | −0.961011 | − | 0.276509i | \(-0.910823\pi\) |
0.588518 | + | 0.808484i | \(0.299711\pi\) | |||||||
\(984\) | −0.731773 | − | 0.914484i | −0.0233281 | − | 0.0291527i | ||||
\(985\) | −3.32891 | − | 4.08647i | −0.106068 | − | 0.130206i | ||||
\(986\) | 1.99472 | + | 2.37721i | 0.0635247 | + | 0.0757058i | ||||
\(987\) | 15.9674 | − | 1.02330i | 0.508248 | − | 0.0325720i | ||||
\(988\) | 8.66743 | − | 24.6632i | 0.275748 | − | 0.784640i | ||||
\(989\) | 1.83905 | 0.0584784 | ||||||||
\(990\) | −3.71208 | − | 12.5313i | −0.117978 | − | 0.398271i | ||||
\(991\) | 48.2996 | + | 17.5796i | 1.53429 | + | 0.558435i | 0.964667 | − | 0.263472i | \(-0.0848677\pi\) |
0.569621 | + | 0.821907i | \(0.307090\pi\) | |||||||
\(992\) | −0.237518 | − | 0.339211i | −0.00754122 | − | 0.0107700i | ||||
\(993\) | 13.0859 | + | 53.8158i | 0.415270 | + | 1.70779i | ||||
\(994\) | 3.03642 | + | 8.34249i | 0.0963093 | + | 0.264608i | ||||
\(995\) | −3.83324 | + | 13.5165i | −0.121522 | + | 0.428502i | ||||
\(996\) | 11.9879 | + | 2.40262i | 0.379850 | + | 0.0761298i | ||||
\(997\) | −0.360517 | − | 4.12073i | −0.0114177 | − | 0.130505i | 0.988346 | − | 0.152221i | \(-0.0486426\pi\) |
−0.999764 | + | 0.0217161i | \(0.993087\pi\) | |||||||
\(998\) | −1.00856 | − | 11.5279i | −0.0319255 | − | 0.364910i | ||||
\(999\) | −3.57791 | + | 51.1751i | −0.113200 | + | 1.61911i |
(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 | 570.2.bi.a.557.23 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.557.9 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.443.13 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.443.23 | yes | 480 | |
19.16 | even | 9 | inner | 570.2.bi.a.377.23 | yes | 480 | |
57.35 | odd | 18 | inner | 570.2.bi.a.377.13 | yes | 480 | |
95.73 | odd | 36 | inner | 570.2.bi.a.263.9 | ✓ | 480 | |
285.263 | even | 36 | inner | 570.2.bi.a.263.23 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.9 | ✓ | 480 | 95.73 | odd | 36 | inner | |
570.2.bi.a.263.23 | yes | 480 | 285.263 | even | 36 | inner | |
570.2.bi.a.377.13 | yes | 480 | 57.35 | odd | 18 | inner | |
570.2.bi.a.377.23 | yes | 480 | 19.16 | even | 9 | inner | |
570.2.bi.a.443.13 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.443.23 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.557.9 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.557.23 | yes | 480 | 1.1 | even | 1 | trivial |