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 | 17.3 | ||
Character | \(\chi\) | \(=\) | 570.17 |
Dual form | 570.2.bi.a.503.3 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.573576 | − | 0.819152i | −0.405580 | − | 0.579228i | ||||
\(3\) | −1.61147 | − | 0.634960i | −0.930381 | − | 0.366595i | ||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | 1.56453 | − | 1.59758i | 0.699678 | − | 0.714459i | ||||
\(6\) | 0.404170 | + | 1.68423i | 0.165002 | + | 0.687586i | ||||
\(7\) | 0.997670 | − | 3.72335i | 0.377084 | − | 1.40730i | −0.473193 | − | 0.880959i | \(-0.656899\pi\) |
0.850276 | − | 0.526337i | \(-0.176435\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | 2.19365 | + | 2.04644i | 0.731217 | + | 0.682145i | ||||
\(10\) | −2.20604 | − | 0.365253i | −0.697610 | − | 0.115503i | ||||
\(11\) | 5.37905 | + | 3.10559i | 1.62184 | + | 0.936372i | 0.986427 | + | 0.164203i | \(0.0525052\pi\) |
0.635417 | + | 0.772169i | \(0.280828\pi\) | |||||||
\(12\) | 1.14782 | − | 1.29711i | 0.331348 | − | 0.374445i | ||||
\(13\) | 0.0148851 | − | 0.170138i | 0.00412839 | − | 0.0471877i | −0.993851 | − | 0.110725i | \(-0.964683\pi\) |
0.997979 | + | 0.0635374i | \(0.0202382\pi\) | |||||||
\(14\) | −3.62223 | + | 1.31839i | −0.968083 | + | 0.352353i | ||||
\(15\) | −3.53558 | + | 1.58103i | −0.912883 | + | 0.408220i | ||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −1.03580 | − | 1.47927i | −0.251218 | − | 0.358777i | 0.673659 | − | 0.739042i | \(-0.264722\pi\) |
−0.924877 | + | 0.380265i | \(0.875833\pi\) | |||||||
\(18\) | 0.418116 | − | 2.97072i | 0.0985508 | − | 0.700205i | ||||
\(19\) | 4.29655 | + | 0.734629i | 0.985696 | + | 0.168535i | ||||
\(20\) | 0.966132 | + | 2.01658i | 0.216034 | + | 0.450921i | ||||
\(21\) | −3.97189 | + | 5.36658i | −0.866738 | + | 1.17108i | ||||
\(22\) | −0.541341 | − | 6.18755i | −0.115414 | − | 1.31919i | ||||
\(23\) | 3.12265 | + | 6.69654i | 0.651117 | + | 1.39633i | 0.903454 | + | 0.428686i | \(0.141023\pi\) |
−0.252337 | + | 0.967640i | \(0.581199\pi\) | |||||||
\(24\) | −1.72090 | − | 0.196246i | −0.351277 | − | 0.0400586i | ||||
\(25\) | −0.104510 | − | 4.99891i | −0.0209020 | − | 0.999782i | ||||
\(26\) | −0.147906 | + | 0.0853938i | −0.0290068 | + | 0.0167471i | ||||
\(27\) | −2.23559 | − | 4.69064i | −0.430239 | − | 0.902715i | ||||
\(28\) | 3.15759 | + | 2.21097i | 0.596728 | + | 0.417833i | ||||
\(29\) | −1.14890 | − | 6.51574i | −0.213346 | − | 1.20994i | −0.883754 | − | 0.467951i | \(-0.844992\pi\) |
0.670409 | − | 0.741992i | \(-0.266119\pi\) | |||||||
\(30\) | 3.32303 | + | 1.98934i | 0.606700 | + | 0.363202i | ||||
\(31\) | −0.994699 | − | 1.72287i | −0.178653 | − | 0.309436i | 0.762766 | − | 0.646674i | \(-0.223841\pi\) |
−0.941419 | + | 0.337238i | \(0.890507\pi\) | |||||||
\(32\) | −0.0871557 | + | 0.996195i | −0.0154071 | + | 0.176104i | ||||
\(33\) | −6.69623 | − | 8.42004i | −1.16566 | − | 1.46574i | ||||
\(34\) | −0.617641 | + | 1.69695i | −0.105925 | + | 0.291025i | ||||
\(35\) | −4.38747 | − | 7.41914i | −0.741617 | − | 1.25406i | ||||
\(36\) | −2.67329 | + | 1.36143i | −0.445549 | + | 0.226906i | ||||
\(37\) | −5.60123 | − | 5.60123i | −0.920836 | − | 0.920836i | 0.0762525 | − | 0.997089i | \(-0.475704\pi\) |
−0.997089 | + | 0.0762525i | \(0.975704\pi\) | |||||||
\(38\) | −1.86263 | − | 3.94089i | −0.302158 | − | 0.639297i | ||||
\(39\) | −0.132018 | + | 0.264720i | −0.0211397 | + | 0.0423891i | ||||
\(40\) | 1.09773 | − | 1.94807i | 0.173567 | − | 0.308017i | ||||
\(41\) | −2.31503 | + | 2.75895i | −0.361547 | + | 0.430875i | −0.915900 | − | 0.401407i | \(-0.868521\pi\) |
0.554353 | + | 0.832282i | \(0.312966\pi\) | |||||||
\(42\) | 6.67423 | + | 0.175441i | 1.02986 | + | 0.0270712i | ||||
\(43\) | 2.27061 | − | 4.86935i | 0.346265 | − | 0.742569i | −0.653633 | − | 0.756812i | \(-0.726756\pi\) |
0.999899 | + | 0.0142429i | \(0.00453382\pi\) | |||||||
\(44\) | −4.75805 | + | 3.99248i | −0.717303 | + | 0.601888i | ||||
\(45\) | 6.70137 | − | 0.302824i | 0.998981 | − | 0.0451423i | ||||
\(46\) | 3.69441 | − | 6.39890i | 0.544711 | − | 0.943466i | ||||
\(47\) | 2.67672 | + | 1.87426i | 0.390440 | + | 0.273389i | 0.752270 | − | 0.658855i | \(-0.228959\pi\) |
−0.361830 | + | 0.932244i | \(0.617848\pi\) | |||||||
\(48\) | 0.826310 | + | 1.52224i | 0.119268 | + | 0.219716i | ||||
\(49\) | −6.80584 | − | 3.92936i | −0.972263 | − | 0.561337i | ||||
\(50\) | −4.03492 | + | 2.95287i | −0.570624 | + | 0.417598i | ||||
\(51\) | 0.729875 | + | 3.04149i | 0.102203 | + | 0.425894i | ||||
\(52\) | 0.154786 | + | 0.0721779i | 0.0214650 | + | 0.0100093i | ||||
\(53\) | 2.65654 | + | 5.69696i | 0.364903 | + | 0.782538i | 0.999949 | + | 0.0100634i | \(0.00320333\pi\) |
−0.635046 | + | 0.772474i | \(0.719019\pi\) | |||||||
\(54\) | −2.56007 | + | 4.52173i | −0.348381 | + | 0.615330i | ||||
\(55\) | 13.3771 | − | 3.73466i | 1.80377 | − | 0.503582i | ||||
\(56\) | − | 3.85470i | − | 0.515106i | ||||||
\(57\) | −6.45728 | − | 3.91197i | −0.855288 | − | 0.518153i | ||||
\(58\) | −4.67840 | + | 4.67840i | −0.614304 | + | 0.614304i | ||||
\(59\) | −0.280178 | + | 1.58897i | −0.0364761 | + | 0.206866i | −0.997599 | − | 0.0692547i | \(-0.977938\pi\) |
0.961123 | + | 0.276121i | \(0.0890490\pi\) | |||||||
\(60\) | −0.276443 | − | 3.86310i | −0.0356886 | − | 0.498725i | ||||
\(61\) | −6.41592 | − | 2.33520i | −0.821474 | − | 0.298992i | −0.103119 | − | 0.994669i | \(-0.532882\pi\) |
−0.718355 | + | 0.695677i | \(0.755105\pi\) | |||||||
\(62\) | −0.840756 | + | 1.80301i | −0.106776 | + | 0.228982i | ||||
\(63\) | 9.80814 | − | 6.12607i | 1.23571 | − | 0.771812i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −0.248520 | − | 0.289965i | −0.0308251 | − | 0.0359657i | ||||
\(66\) | −3.05650 | + | 10.3148i | −0.376229 | + | 1.26966i | ||||
\(67\) | −4.90506 | + | 7.00516i | −0.599249 | + | 0.855816i | −0.998126 | − | 0.0611883i | \(-0.980511\pi\) |
0.398877 | + | 0.917004i | \(0.369400\pi\) | |||||||
\(68\) | 1.74433 | − | 0.467391i | 0.211531 | − | 0.0566795i | ||||
\(69\) | −0.780005 | − | 12.7740i | −0.0939016 | − | 1.53781i | ||||
\(70\) | −3.56086 | + | 7.84945i | −0.425604 | + | 0.938189i | ||||
\(71\) | −1.55270 | − | 4.26601i | −0.184272 | − | 0.506282i | 0.812818 | − | 0.582517i | \(-0.197932\pi\) |
−0.997090 | + | 0.0762354i | \(0.975710\pi\) | |||||||
\(72\) | 2.64856 | + | 1.40895i | 0.312136 | + | 0.166046i | ||||
\(73\) | −14.9298 | + | 1.30619i | −1.74741 | + | 0.152878i | −0.915574 | − | 0.402150i | \(-0.868263\pi\) |
−0.831831 | + | 0.555028i | \(0.812707\pi\) | |||||||
\(74\) | −1.37552 | + | 7.80099i | −0.159901 | + | 0.906846i | ||||
\(75\) | −3.00569 | + | 8.12193i | −0.347068 | + | 0.937840i | ||||
\(76\) | −2.15983 | + | 3.78618i | −0.247750 | + | 0.434304i | ||||
\(77\) | 16.9297 | − | 16.9297i | 1.92932 | − | 1.92932i | ||||
\(78\) | 0.292568 | − | 0.0436945i | 0.0331268 | − | 0.00494743i | ||||
\(79\) | −1.71816 | + | 2.04762i | −0.193308 | + | 0.230376i | −0.853989 | − | 0.520292i | \(-0.825823\pi\) |
0.660681 | + | 0.750667i | \(0.270268\pi\) | |||||||
\(80\) | −2.22540 | + | 0.218157i | −0.248807 | + | 0.0243907i | ||||
\(81\) | 0.624204 | + | 8.97833i | 0.0693560 | + | 0.997592i | ||||
\(82\) | 3.58785 | + | 0.313896i | 0.396211 | + | 0.0346640i | ||||
\(83\) | −3.17731 | + | 11.8579i | −0.348756 | + | 1.30157i | 0.539407 | + | 0.842045i | \(0.318648\pi\) |
−0.888163 | + | 0.459529i | \(0.848018\pi\) | |||||||
\(84\) | −3.68447 | − | 5.56784i | −0.402008 | − | 0.607501i | ||||
\(85\) | −3.98379 | − | 0.659595i | −0.432103 | − | 0.0715432i | ||||
\(86\) | −5.29111 | + | 0.932965i | −0.570555 | + | 0.100604i | ||||
\(87\) | −2.28582 | + | 11.2294i | −0.245066 | + | 1.20392i | ||||
\(88\) | 5.99955 | + | 1.60757i | 0.639554 | + | 0.171368i | ||||
\(89\) | 4.82625 | − | 4.04970i | 0.511581 | − | 0.429268i | −0.350104 | − | 0.936711i | \(-0.613854\pi\) |
0.861685 | + | 0.507443i | \(0.169409\pi\) | |||||||
\(90\) | −4.09180 | − | 5.31574i | −0.431314 | − | 0.560329i | ||||
\(91\) | −0.618632 | − | 0.225164i | −0.0648503 | − | 0.0236036i | ||||
\(92\) | −7.36070 | + | 0.643978i | −0.767406 | + | 0.0671393i | ||||
\(93\) | 0.508970 | + | 3.40794i | 0.0527778 | + | 0.353387i | ||||
\(94\) | − | 3.26768i | − | 0.337035i | ||||||
\(95\) | 7.89569 | − | 5.71472i | 0.810081 | − | 0.586318i | ||||
\(96\) | 0.772993 | − | 1.54999i | 0.0788933 | − | 0.158196i | ||||
\(97\) | 11.5127 | − | 8.06126i | 1.16894 | − | 0.818497i | 0.182590 | − | 0.983189i | \(-0.441552\pi\) |
0.986345 | + | 0.164692i | \(0.0526629\pi\) | |||||||
\(98\) | 0.684932 | + | 7.82881i | 0.0691886 | + | 0.790829i | ||||
\(99\) | 5.44435 | + | 17.8205i | 0.547178 | + | 1.79102i | ||||
\(100\) | 4.73318 | + | 1.61152i | 0.473318 | + | 0.161152i | ||||
\(101\) | −4.28641 | − | 5.10834i | −0.426514 | − | 0.508299i | 0.509399 | − | 0.860530i | \(-0.329868\pi\) |
−0.935913 | + | 0.352231i | \(0.885423\pi\) | |||||||
\(102\) | 2.07281 | − | 2.34241i | 0.205238 | − | 0.231933i | ||||
\(103\) | −1.66814 | − | 6.22560i | −0.164367 | − | 0.613426i | −0.998120 | − | 0.0612886i | \(-0.980479\pi\) |
0.833753 | − | 0.552138i | \(-0.186188\pi\) | |||||||
\(104\) | −0.0296569 | − | 0.168193i | −0.00290810 | − | 0.0164927i | ||||
\(105\) | 2.35939 | + | 14.7416i | 0.230253 | + | 1.43863i | ||||
\(106\) | 3.14295 | − | 5.44375i | 0.305270 | − | 0.528744i | ||||
\(107\) | 4.27944 | + | 1.14667i | 0.413709 | + | 0.110853i | 0.459669 | − | 0.888090i | \(-0.347968\pi\) |
−0.0459598 | + | 0.998943i | \(0.514635\pi\) | |||||||
\(108\) | 5.17238 | − | 0.496472i | 0.497713 | − | 0.0477730i | ||||
\(109\) | 4.88460 | + | 13.4203i | 0.467860 | + | 1.28544i | 0.919449 | + | 0.393209i | \(0.128635\pi\) |
−0.451589 | + | 0.892226i | \(0.649143\pi\) | |||||||
\(110\) | −10.7320 | − | 8.81576i | −1.02326 | − | 0.840550i | ||||
\(111\) | 5.46963 | + | 12.5827i | 0.519155 | + | 1.19430i | ||||
\(112\) | −3.15759 | + | 2.21097i | −0.298364 | + | 0.208917i | ||||
\(113\) | 9.98092 | + | 9.98092i | 0.938926 | + | 0.938926i | 0.998239 | − | 0.0593137i | \(-0.0188912\pi\) |
−0.0593137 | + | 0.998239i | \(0.518891\pi\) | |||||||
\(114\) | 0.499249 | + | 7.53331i | 0.0467589 | + | 0.705559i | ||||
\(115\) | 15.5837 | + | 5.48824i | 1.45319 | + | 0.511781i | ||||
\(116\) | 6.51574 | + | 1.14890i | 0.604971 | + | 0.106673i | ||||
\(117\) | 0.380828 | − | 0.342761i | 0.0352076 | − | 0.0316883i | ||||
\(118\) | 1.46231 | − | 0.681887i | 0.134617 | − | 0.0627728i | ||||
\(119\) | −6.54125 | + | 2.38082i | −0.599635 | + | 0.218249i | ||||
\(120\) | −3.00591 | + | 2.44223i | −0.274401 | + | 0.222944i | ||||
\(121\) | 13.7894 | + | 23.8840i | 1.25358 | + | 2.17127i | ||||
\(122\) | 1.76713 | + | 6.59503i | 0.159989 | + | 0.597086i | ||||
\(123\) | 5.48242 | − | 2.97600i | 0.494333 | − | 0.268337i | ||||
\(124\) | 1.95917 | − | 0.345455i | 0.175939 | − | 0.0310228i | ||||
\(125\) | −8.14965 | − | 7.65396i | −0.728927 | − | 0.684591i | ||||
\(126\) | −10.6439 | − | 4.52059i | −0.948234 | − | 0.402726i | ||||
\(127\) | 8.54313 | + | 0.747427i | 0.758080 | + | 0.0663234i | 0.459641 | − | 0.888105i | \(-0.347978\pi\) |
0.298440 | + | 0.954428i | \(0.403534\pi\) | |||||||
\(128\) | −0.906308 | − | 0.422618i | −0.0801070 | − | 0.0373545i | ||||
\(129\) | −6.75086 | + | 6.40504i | −0.594380 | + | 0.563933i | ||||
\(130\) | −0.0949803 | + | 0.369893i | −0.00833032 | + | 0.0324417i | ||||
\(131\) | 0.600560 | + | 0.105895i | 0.0524712 | + | 0.00925209i | 0.199822 | − | 0.979832i | \(-0.435964\pi\) |
−0.147351 | + | 0.989084i | \(0.547075\pi\) | |||||||
\(132\) | 10.2025 | − | 3.41257i | 0.888013 | − | 0.297026i | ||||
\(133\) | 7.02182 | − | 15.2647i | 0.608869 | − | 1.32361i | ||||
\(134\) | 8.55172 | 0.738756 | ||||||||
\(135\) | −10.9913 | − | 3.76711i | −0.945981 | − | 0.324221i | ||||
\(136\) | −1.38337 | − | 1.16079i | −0.118623 | − | 0.0995365i | ||||
\(137\) | 4.97504 | − | 2.31990i | 0.425046 | − | 0.198202i | −0.198312 | − | 0.980139i | \(-0.563546\pi\) |
0.623358 | + | 0.781937i | \(0.285768\pi\) | |||||||
\(138\) | −10.0165 | + | 7.96581i | −0.852658 | + | 0.678095i | ||||
\(139\) | −10.3222 | − | 12.3015i | −0.875520 | − | 1.04340i | −0.998698 | − | 0.0510191i | \(-0.983753\pi\) |
0.123178 | − | 0.992385i | \(-0.460691\pi\) | |||||||
\(140\) | 8.47232 | − | 1.58537i | 0.716041 | − | 0.133989i | ||||
\(141\) | −3.12337 | − | 4.71992i | −0.263035 | − | 0.397489i | ||||
\(142\) | −2.60392 | + | 3.71878i | −0.218516 | + | 0.312073i | ||||
\(143\) | 0.608446 | − | 0.868951i | 0.0508808 | − | 0.0726654i | ||||
\(144\) | −0.365010 | − | 2.97771i | −0.0304175 | − | 0.248143i | ||||
\(145\) | −12.2069 | − | 8.35860i | −1.01373 | − | 0.694144i | ||||
\(146\) | 9.63337 | + | 11.4806i | 0.797264 | + | 0.950142i | ||||
\(147\) | 8.47241 | + | 10.6535i | 0.698792 | + | 0.878683i | ||||
\(148\) | 7.17916 | − | 3.34770i | 0.590124 | − | 0.275179i | ||||
\(149\) | −10.0722 | − | 8.45159i | −0.825148 | − | 0.692382i | 0.129023 | − | 0.991642i | \(-0.458816\pi\) |
−0.954172 | + | 0.299260i | \(0.903260\pi\) | |||||||
\(150\) | 8.37709 | − | 2.19643i | 0.683987 | − | 0.179338i | ||||
\(151\) | −6.57039 | −0.534691 | −0.267345 | − | 0.963601i | \(-0.586146\pi\) | ||||
−0.267345 | + | 0.963601i | \(0.586146\pi\) | |||||||
\(152\) | 4.34028 | − | 0.402431i | 0.352043 | − | 0.0326415i | ||||
\(153\) | 0.755059 | − | 5.36471i | 0.0610429 | − | 0.433711i | ||||
\(154\) | −23.5785 | − | 4.15753i | −1.90001 | − | 0.335023i | ||||
\(155\) | −4.30865 | − | 1.10637i | −0.346079 | − | 0.0888655i | ||||
\(156\) | −0.203603 | − | 0.214595i | −0.0163012 | − | 0.0171814i | ||||
\(157\) | −7.93586 | − | 3.70055i | −0.633351 | − | 0.295336i | 0.0793048 | − | 0.996850i | \(-0.474730\pi\) |
−0.712656 | + | 0.701514i | \(0.752508\pi\) | |||||||
\(158\) | 2.66281 | + | 0.232966i | 0.211842 | + | 0.0185338i | ||||
\(159\) | −0.663575 | − | 10.8673i | −0.0526249 | − | 0.861830i | ||||
\(160\) | 1.45514 | + | 1.69781i | 0.115039 | + | 0.134224i | ||||
\(161\) | 28.0490 | − | 4.94579i | 2.21057 | − | 0.389783i | ||||
\(162\) | 6.99659 | − | 5.66107i | 0.549704 | − | 0.444776i | ||||
\(163\) | 4.64177 | + | 17.3233i | 0.363571 | + | 1.35687i | 0.869347 | + | 0.494202i | \(0.164540\pi\) |
−0.505776 | + | 0.862665i | \(0.668794\pi\) | |||||||
\(164\) | −1.80078 | − | 3.11903i | −0.140617 | − | 0.243556i | ||||
\(165\) | −23.9281 | − | 2.47564i | −1.86280 | − | 0.192729i | ||||
\(166\) | 11.5359 | − | 4.19871i | 0.895356 | − | 0.325883i | ||||
\(167\) | 2.15685 | − | 1.00576i | 0.166902 | − | 0.0778277i | −0.337372 | − | 0.941371i | \(-0.609538\pi\) |
0.504274 | + | 0.863544i | \(0.331760\pi\) | |||||||
\(168\) | −2.44758 | + | 6.21172i | −0.188835 | + | 0.479245i | ||||
\(169\) | 12.7738 | + | 2.25236i | 0.982598 | + | 0.173259i | ||||
\(170\) | 1.74470 | + | 3.64166i | 0.133812 | + | 0.279303i | ||||
\(171\) | 7.92175 | + | 10.4041i | 0.605791 | + | 0.795623i | ||||
\(172\) | 3.79909 | + | 3.79909i | 0.289678 | + | 0.289678i | ||||
\(173\) | 0.901575 | − | 0.631290i | 0.0685455 | − | 0.0479961i | −0.538801 | − | 0.842433i | \(-0.681123\pi\) |
0.607347 | + | 0.794437i | \(0.292234\pi\) | |||||||
\(174\) | 10.5097 | − | 4.56849i | 0.796737 | − | 0.346336i | ||||
\(175\) | −18.7170 | − | 4.59813i | −1.41487 | − | 0.347586i | ||||
\(176\) | −2.12435 | − | 5.83661i | −0.160129 | − | 0.439951i | ||||
\(177\) | 1.46043 | − | 2.38267i | 0.109773 | − | 0.179092i | ||||
\(178\) | −6.08554 | − | 1.63062i | −0.456131 | − | 0.122220i | ||||
\(179\) | −6.73663 | + | 11.6682i | −0.503520 | + | 0.872122i | 0.496472 | + | 0.868053i | \(0.334629\pi\) |
−0.999992 | + | 0.00406900i | \(0.998705\pi\) | |||||||
\(180\) | −2.00744 | + | 6.40080i | −0.149626 | + | 0.477087i | ||||
\(181\) | 1.39404 | + | 7.90599i | 0.103618 | + | 0.587648i | 0.991763 | + | 0.128085i | \(0.0408829\pi\) |
−0.888145 | + | 0.459563i | \(0.848006\pi\) | |||||||
\(182\) | 0.170390 | + | 0.635903i | 0.0126301 | + | 0.0471362i | ||||
\(183\) | 8.85627 | + | 7.83695i | 0.654675 | + | 0.579324i | ||||
\(184\) | 4.74944 | + | 5.66016i | 0.350133 | + | 0.417273i | ||||
\(185\) | −17.7117 | + | 0.185125i | −1.30219 | + | 0.0136107i | ||||
\(186\) | 2.49969 | − | 2.37164i | 0.183286 | − | 0.173897i | ||||
\(187\) | −0.977586 | − | 11.1739i | −0.0714882 | − | 0.817114i | ||||
\(188\) | −2.67672 | + | 1.87426i | −0.195220 | + | 0.136695i | ||||
\(189\) | −19.6953 | + | 3.64418i | −1.43262 | + | 0.265075i | ||||
\(190\) | −9.21001 | − | 3.18994i | −0.668164 | − | 0.231423i | ||||
\(191\) | 8.80171i | 0.636870i | 0.947945 | + | 0.318435i | \(0.103157\pi\) | ||||
−0.947945 | + | 0.318435i | \(0.896843\pi\) | |||||||
\(192\) | −1.71305 | + | 0.255841i | −0.123629 | + | 0.0184638i | ||||
\(193\) | −17.9812 | + | 1.57316i | −1.29432 | + | 0.113238i | −0.713419 | − | 0.700737i | \(-0.752855\pi\) |
−0.580899 | + | 0.813976i | \(0.697299\pi\) | |||||||
\(194\) | −13.2068 | − | 4.80688i | −0.948193 | − | 0.345114i | ||||
\(195\) | 0.216365 | + | 0.625070i | 0.0154942 | + | 0.0447622i | ||||
\(196\) | 6.02012 | − | 5.05148i | 0.430009 | − | 0.360820i | ||||
\(197\) | 3.99189 | + | 1.06962i | 0.284410 | + | 0.0762075i | 0.398204 | − | 0.917297i | \(-0.369634\pi\) |
−0.113794 | + | 0.993504i | \(0.536300\pi\) | |||||||
\(198\) | 11.4749 | − | 14.6811i | 0.815487 | − | 1.04334i | ||||
\(199\) | 9.94814 | − | 1.75412i | 0.705205 | − | 0.124347i | 0.190466 | − | 0.981694i | \(-0.439000\pi\) |
0.514739 | + | 0.857347i | \(0.327889\pi\) | |||||||
\(200\) | −1.39476 | − | 4.80152i | −0.0986245 | − | 0.339519i | ||||
\(201\) | 12.3523 | − | 8.17405i | 0.871267 | − | 0.576553i | ||||
\(202\) | −1.72593 | + | 6.44125i | −0.121436 | + | 0.453205i | ||||
\(203\) | −25.4066 | − | 2.22279i | −1.78320 | − | 0.156009i | ||||
\(204\) | −3.10770 | − | 0.354394i | −0.217583 | − | 0.0248125i | ||||
\(205\) | 0.785704 | + | 8.01489i | 0.0548759 | + | 0.559784i | ||||
\(206\) | −4.14290 | + | 4.93732i | −0.288650 | + | 0.343999i | ||||
\(207\) | −6.85404 | + | 21.0802i | −0.476389 | + | 1.46517i | ||||
\(208\) | −0.120765 | + | 0.120765i | −0.00837355 | + | 0.00837355i | ||||
\(209\) | 20.8299 | + | 17.2949i | 1.44083 | + | 1.19632i | ||||
\(210\) | 10.7223 | − | 10.3881i | 0.739909 | − | 0.716848i | ||||
\(211\) | 0.459303 | − | 2.60484i | 0.0316197 | − | 0.179324i | −0.964908 | − | 0.262589i | \(-0.915424\pi\) |
0.996527 | + | 0.0832647i | \(0.0265347\pi\) | |||||||
\(212\) | −6.26198 | + | 0.547852i | −0.430075 | + | 0.0376266i | ||||
\(213\) | −0.206622 | + | 7.86043i | −0.0141575 | + | 0.538588i | ||||
\(214\) | −1.51529 | − | 4.16322i | −0.103583 | − | 0.284592i | ||||
\(215\) | −4.22673 | − | 11.2457i | −0.288260 | − | 0.766951i | ||||
\(216\) | −3.37344 | − | 3.95220i | −0.229534 | − | 0.268913i | ||||
\(217\) | −7.40723 | + | 1.98476i | −0.502836 | + | 0.134734i | ||||
\(218\) | 8.19161 | − | 11.6988i | 0.554806 | − | 0.792344i | ||||
\(219\) | 24.8883 | + | 7.37497i | 1.68180 | + | 0.498354i | ||||
\(220\) | −1.06580 | + | 13.8477i | −0.0718564 | + | 0.933611i | ||||
\(221\) | −0.267098 | + | 0.154209i | −0.0179670 | + | 0.0103732i | ||||
\(222\) | 7.16993 | − | 11.6976i | 0.481214 | − | 0.785093i | ||||
\(223\) | 9.87853 | − | 21.1846i | 0.661515 | − | 1.41862i | −0.233397 | − | 0.972382i | \(-0.574984\pi\) |
0.894912 | − | 0.446242i | \(-0.147238\pi\) | |||||||
\(224\) | 3.62223 | + | 1.31839i | 0.242021 | + | 0.0880883i | ||||
\(225\) | 10.0007 | − | 11.1797i | 0.666712 | − | 0.745315i | ||||
\(226\) | 2.45107 | − | 13.9007i | 0.163043 | − | 0.924661i | ||||
\(227\) | −10.2843 | + | 10.2843i | −0.682593 | + | 0.682593i | −0.960584 | − | 0.277991i | \(-0.910332\pi\) |
0.277991 | + | 0.960584i | \(0.410332\pi\) | |||||||
\(228\) | 5.88457 | − | 4.72989i | 0.389715 | − | 0.313245i | ||||
\(229\) | − | 0.885181i | − | 0.0584944i | −0.999572 | − | 0.0292472i | \(-0.990689\pi\) | ||
0.999572 | − | 0.0292472i | \(-0.00931100\pi\) | |||||||
\(230\) | −4.44274 | − | 15.9134i | −0.292946 | − | 1.04930i | ||||
\(231\) | −38.0314 | + | 16.5320i | −2.50228 | + | 1.08773i | ||||
\(232\) | −2.79615 | − | 5.99637i | −0.183576 | − | 0.393681i | ||||
\(233\) | −12.4239 | − | 5.79336i | −0.813916 | − | 0.379535i | −0.0293415 | − | 0.999569i | \(-0.509341\pi\) |
−0.784575 | + | 0.620034i | \(0.787119\pi\) | |||||||
\(234\) | −0.499208 | − | 0.115357i | −0.0326342 | − | 0.00754111i | ||||
\(235\) | 7.18208 | − | 1.34394i | 0.468508 | − | 0.0876690i | ||||
\(236\) | −1.39732 | − | 0.806741i | −0.0909576 | − | 0.0525144i | ||||
\(237\) | 4.06892 | − | 2.20871i | 0.264304 | − | 0.143471i | ||||
\(238\) | 5.70216 | + | 3.99270i | 0.369616 | + | 0.258808i | ||||
\(239\) | 10.9711 | − | 19.0025i | 0.709660 | − | 1.22917i | −0.255323 | − | 0.966856i | \(-0.582182\pi\) |
0.964983 | − | 0.262312i | \(-0.0844850\pi\) | |||||||
\(240\) | 3.72468 | + | 1.06149i | 0.240427 | + | 0.0685188i | ||||
\(241\) | −5.12338 | + | 4.29903i | −0.330026 | + | 0.276925i | −0.792710 | − | 0.609598i | \(-0.791331\pi\) |
0.462684 | + | 0.886523i | \(0.346886\pi\) | |||||||
\(242\) | 11.6553 | − | 24.9949i | 0.749233 | − | 1.60674i | ||||
\(243\) | 4.69500 | − | 14.8646i | 0.301184 | − | 0.953566i | ||||
\(244\) | 4.38874 | − | 5.23030i | 0.280961 | − | 0.334836i | ||||
\(245\) | −16.9254 | + | 4.72528i | −1.08132 | + | 0.301887i | ||||
\(246\) | −5.58238 | − | 2.78397i | −0.355920 | − | 0.177500i | ||||
\(247\) | 0.188943 | − | 0.720070i | 0.0120221 | − | 0.0458169i | ||||
\(248\) | −1.40672 | − | 1.40672i | −0.0893266 | − | 0.0893266i | ||||
\(249\) | 12.6494 | − | 17.0911i | 0.801625 | − | 1.08311i | ||||
\(250\) | −1.59531 | + | 11.0659i | −0.100896 | + | 0.699871i | ||||
\(251\) | −1.08580 | + | 2.98322i | −0.0685354 | + | 0.188299i | −0.969232 | − | 0.246149i | \(-0.920835\pi\) |
0.900697 | + | 0.434449i | \(0.143057\pi\) | |||||||
\(252\) | 2.40204 | + | 11.3119i | 0.151314 | + | 0.712581i | ||||
\(253\) | −3.99987 | + | 45.7187i | −0.251469 | + | 2.87431i | ||||
\(254\) | −4.28788 | − | 7.42683i | −0.269046 | − | 0.466001i | ||||
\(255\) | 6.00093 | + | 3.59247i | 0.375793 | + | 0.224969i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −25.0358 | − | 17.5303i | −1.56169 | − | 1.09351i | −0.954196 | − | 0.299184i | \(-0.903286\pi\) |
−0.607495 | − | 0.794324i | \(-0.707825\pi\) | |||||||
\(258\) | 9.11884 | + | 1.85620i | 0.567714 | + | 0.115562i | ||||
\(259\) | −26.4435 | + | 15.2672i | −1.64312 | + | 0.948656i | ||||
\(260\) | 0.357477 | − | 0.134359i | 0.0221698 | − | 0.00833256i | ||||
\(261\) | 10.8138 | − | 16.6444i | 0.669355 | − | 1.03026i | ||||
\(262\) | −0.257723 | − | 0.552689i | −0.0159222 | − | 0.0341452i | ||||
\(263\) | 0.177627 | + | 2.03029i | 0.0109530 | + | 0.125193i | 0.999703 | − | 0.0243870i | \(-0.00776338\pi\) |
−0.988750 | + | 0.149580i | \(0.952208\pi\) | |||||||
\(264\) | −8.64733 | − | 6.40003i | −0.532206 | − | 0.393894i | ||||
\(265\) | 13.2576 | + | 4.66902i | 0.814405 | + | 0.286816i | ||||
\(266\) | −16.5316 | + | 3.00351i | −1.01362 | + | 0.184157i | ||||
\(267\) | −10.3487 | + | 3.46148i | −0.633333 | + | 0.211839i | ||||
\(268\) | −4.90506 | − | 7.00516i | −0.299624 | − | 0.427908i | ||||
\(269\) | 17.6386 | + | 14.8005i | 1.07544 | + | 0.902403i | 0.995534 | − | 0.0943990i | \(-0.0300929\pi\) |
0.0799079 | + | 0.996802i | \(0.474537\pi\) | |||||||
\(270\) | 3.21852 | + | 11.1643i | 0.195873 | + | 0.679436i | ||||
\(271\) | 6.89457 | − | 2.50942i | 0.418815 | − | 0.152436i | −0.124012 | − | 0.992281i | \(-0.539576\pi\) |
0.542827 | + | 0.839844i | \(0.317354\pi\) | |||||||
\(272\) | −0.157391 | + | 1.79899i | −0.00954324 | + | 0.109080i | ||||
\(273\) | 0.853935 | + | 0.755651i | 0.0516825 | + | 0.0457341i | ||||
\(274\) | −4.75392 | − | 2.74467i | −0.287195 | − | 0.165812i | ||||
\(275\) | 14.9624 | − | 27.2139i | 0.902268 | − | 1.64106i | ||||
\(276\) | 12.2704 | + | 3.63600i | 0.738593 | + | 0.218862i | ||||
\(277\) | −21.3346 | + | 5.71659i | −1.28187 | + | 0.343477i | −0.834568 | − | 0.550905i | \(-0.814283\pi\) |
−0.447305 | + | 0.894382i | \(0.647616\pi\) | |||||||
\(278\) | −4.15625 | + | 15.5113i | −0.249276 | + | 0.930309i | ||||
\(279\) | 1.34372 | − | 5.81496i | 0.0804463 | − | 0.348132i | ||||
\(280\) | −6.15818 | − | 6.03078i | −0.368022 | − | 0.360408i | ||||
\(281\) | −1.92582 | + | 5.29115i | −0.114885 | + | 0.315643i | −0.983787 | − | 0.179340i | \(-0.942604\pi\) |
0.868902 | + | 0.494984i | \(0.164826\pi\) | |||||||
\(282\) | −2.07484 | + | 5.26575i | −0.123555 | + | 0.313571i | ||||
\(283\) | 3.70622 | + | 5.29303i | 0.220312 | + | 0.314638i | 0.914059 | − | 0.405580i | \(-0.132931\pi\) |
−0.693747 | + | 0.720218i | \(0.744042\pi\) | |||||||
\(284\) | 4.53979 | 0.269387 | ||||||||
\(285\) | −16.3523 | + | 4.19563i | −0.968625 | + | 0.248528i | ||||
\(286\) | −1.06079 | −0.0627261 | ||||||||
\(287\) | 7.96290 | + | 11.3722i | 0.470035 | + | 0.671280i | ||||
\(288\) | −2.22984 | + | 2.00694i | −0.131394 | + | 0.118260i | ||||
\(289\) | 4.69897 | − | 12.9103i | 0.276410 | − | 0.759430i | ||||
\(290\) | 0.154625 | + | 14.7936i | 0.00907990 | + | 0.868710i | ||||
\(291\) | −23.6709 | + | 5.68036i | −1.38761 | + | 0.332989i | ||||
\(292\) | 3.87889 | − | 14.4762i | 0.226995 | − | 0.847156i | ||||
\(293\) | −12.4950 | + | 3.34801i | −0.729963 | + | 0.195593i | −0.604613 | − | 0.796519i | \(-0.706672\pi\) |
−0.125350 | + | 0.992113i | \(0.540006\pi\) | |||||||
\(294\) | 3.86724 | − | 13.0508i | 0.225542 | − | 0.761136i | ||||
\(295\) | 2.10016 | + | 2.93359i | 0.122276 | + | 0.170800i | ||||
\(296\) | −6.86007 | − | 3.96067i | −0.398734 | − | 0.230209i | ||||
\(297\) | 2.54190 | − | 32.1740i | 0.147496 | − | 1.86693i | ||||
\(298\) | −1.14595 | + | 13.0983i | −0.0663833 | + | 0.758765i | ||||
\(299\) | 1.18581 | − | 0.431601i | 0.0685774 | − | 0.0249601i | ||||
\(300\) | −6.60411 | − | 5.60229i | −0.381289 | − | 0.323449i | ||||
\(301\) | −15.8650 | − | 13.3123i | −0.914442 | − | 0.767308i | ||||
\(302\) | 3.76862 | + | 5.38215i | 0.216860 | + | 0.309708i | ||||
\(303\) | 3.66381 | + | 10.9536i | 0.210480 | + | 0.629269i | ||||
\(304\) | −2.81914 | − | 3.32453i | −0.161689 | − | 0.190675i | ||||
\(305\) | −13.7685 | + | 6.59644i | −0.788384 | + | 0.377711i | ||||
\(306\) | −4.82760 | + | 2.45856i | −0.275975 | + | 0.140547i | ||||
\(307\) | 2.28004 | + | 26.0610i | 0.130129 | + | 1.48738i | 0.727885 | + | 0.685700i | \(0.240504\pi\) |
−0.597756 | + | 0.801678i | \(0.703941\pi\) | |||||||
\(308\) | 10.1184 | + | 21.6991i | 0.576552 | + | 1.23642i | ||||
\(309\) | −1.26485 | + | 11.0915i | −0.0719548 | + | 0.630976i | ||||
\(310\) | 1.56506 | + | 4.16402i | 0.0888893 | + | 0.236501i | ||||
\(311\) | 9.19721 | − | 5.31001i | 0.521526 | − | 0.301103i | −0.216033 | − | 0.976386i | \(-0.569312\pi\) |
0.737559 | + | 0.675283i | \(0.235978\pi\) | |||||||
\(312\) | −0.0590047 | + | 0.289868i | −0.00334048 | + | 0.0164106i | ||||
\(313\) | 26.8251 | + | 18.7832i | 1.51625 | + | 1.06169i | 0.975368 | + | 0.220586i | \(0.0707968\pi\) |
0.540878 | + | 0.841101i | \(0.318092\pi\) | |||||||
\(314\) | 1.52051 | + | 8.62323i | 0.0858072 | + | 0.486637i | ||||
\(315\) | 5.55823 | − | 25.2537i | 0.313171 | − | 1.42288i | ||||
\(316\) | −1.33649 | − | 2.31487i | −0.0751835 | − | 0.130222i | ||||
\(317\) | −1.63939 | + | 18.7384i | −0.0920776 | + | 1.05245i | 0.799828 | + | 0.600229i | \(0.204924\pi\) |
−0.891905 | + | 0.452222i | \(0.850632\pi\) | |||||||
\(318\) | −8.52132 | + | 6.77677i | −0.477852 | + | 0.380022i | ||||
\(319\) | 14.0553 | − | 38.6165i | 0.786943 | − | 2.16211i | ||||
\(320\) | 0.556131 | − | 2.16581i | 0.0310887 | − | 0.121072i | ||||
\(321\) | −6.16809 | − | 4.56510i | −0.344269 | − | 0.254799i | ||||
\(322\) | −20.1396 | − | 20.1396i | −1.12233 | − | 1.12233i | ||||
\(323\) | −3.36364 | − | 7.11670i | −0.187158 | − | 0.395984i | ||||
\(324\) | −8.65036 | − | 2.48421i | −0.480575 | − | 0.138012i | ||||
\(325\) | −0.852058 | − | 0.0566282i | −0.0472637 | − | 0.00314117i | ||||
\(326\) | 11.5280 | − | 13.7386i | 0.638478 | − | 0.760908i | ||||
\(327\) | 0.650008 | − | 24.7280i | 0.0359455 | − | 1.36746i | ||||
\(328\) | −1.52208 | + | 3.26411i | −0.0840429 | + | 0.180231i | ||||
\(329\) | 9.64902 | − | 8.09649i | 0.531968 | − | 0.446374i | ||||
\(330\) | 11.6967 | + | 21.0207i | 0.643880 | + | 1.15715i | ||||
\(331\) | 6.78745 | − | 11.7562i | 0.373072 | − | 0.646180i | −0.616964 | − | 0.786991i | \(-0.711638\pi\) |
0.990036 | + | 0.140811i | \(0.0449711\pi\) | |||||||
\(332\) | −10.0561 | − | 7.04134i | −0.551899 | − | 0.386444i | ||||
\(333\) | −0.824584 | − | 23.7497i | −0.0451869 | − | 1.30147i | ||||
\(334\) | −2.06099 | − | 1.18991i | −0.112772 | − | 0.0651090i | ||||
\(335\) | 3.51718 | + | 18.7960i | 0.192164 | + | 1.02693i | ||||
\(336\) | 6.49222 | − | 1.55795i | 0.354180 | − | 0.0849934i | ||||
\(337\) | 16.3935 | + | 7.64443i | 0.893012 | + | 0.416418i | 0.814277 | − | 0.580477i | \(-0.197134\pi\) |
0.0787356 | + | 0.996896i | \(0.474912\pi\) | |||||||
\(338\) | −5.48171 | − | 11.7556i | −0.298166 | − | 0.639418i | ||||
\(339\) | −9.74643 | − | 22.4214i | −0.529353 | − | 1.21776i | ||||
\(340\) | 1.98235 | − | 3.51795i | 0.107508 | − | 0.190787i | ||||
\(341\) | − | 12.3565i | − | 0.669143i | ||||||
\(342\) | 3.97883 | − | 12.4567i | 0.215151 | − | 0.673580i | ||||
\(343\) | −2.34058 | + | 2.34058i | −0.126379 | + | 0.126379i | ||||
\(344\) | 0.932965 | − | 5.29111i | 0.0503021 | − | 0.285277i | ||||
\(345\) | −21.6278 | − | 18.7392i | −1.16440 | − | 1.00888i | ||||
\(346\) | −1.03424 | − | 0.376434i | −0.0556013 | − | 0.0202372i | ||||
\(347\) | −3.89392 | + | 8.35055i | −0.209037 | + | 0.448281i | −0.982673 | − | 0.185350i | \(-0.940658\pi\) |
0.773636 | + | 0.633630i | \(0.218436\pi\) | |||||||
\(348\) | −9.77039 | − | 5.98865i | −0.523748 | − | 0.321026i | ||||
\(349\) | 7.08477 | − | 4.09039i | 0.379239 | − | 0.218954i | −0.298248 | − | 0.954488i | \(-0.596402\pi\) |
0.677487 | + | 0.735535i | \(0.263069\pi\) | |||||||
\(350\) | 6.96905 | + | 17.9694i | 0.372511 | + | 0.960506i | ||||
\(351\) | −0.831332 | + | 0.310537i | −0.0443732 | + | 0.0165752i | ||||
\(352\) | −3.56259 | + | 5.08791i | −0.189887 | + | 0.271186i | ||||
\(353\) | 4.67972 | − | 1.25393i | 0.249076 | − | 0.0667398i | −0.132121 | − | 0.991234i | \(-0.542179\pi\) |
0.381197 | + | 0.924494i | \(0.375512\pi\) | |||||||
\(354\) | −2.78944 | + | 0.170328i | −0.148257 | + | 0.00905285i | ||||
\(355\) | −9.24452 | − | 4.19372i | −0.490648 | − | 0.222580i | ||||
\(356\) | 2.15480 | + | 5.92027i | 0.114204 | + | 0.313774i | ||||
\(357\) | 12.0527 | + | 0.316823i | 0.637898 | + | 0.0167680i | ||||
\(358\) | 13.4220 | − | 1.17427i | 0.709375 | − | 0.0620622i | ||||
\(359\) | 1.82848 | − | 10.3698i | 0.0965032 | − | 0.547297i | −0.897773 | − | 0.440458i | \(-0.854816\pi\) |
0.994276 | − | 0.106839i | \(-0.0340729\pi\) | |||||||
\(360\) | 6.39465 | − | 2.02695i | 0.337027 | − | 0.106829i | ||||
\(361\) | 17.9206 | + | 6.31274i | 0.943192 | + | 0.332249i | ||||
\(362\) | 5.67662 | − | 5.67662i | 0.298357 | − | 0.298357i | ||||
\(363\) | −7.05582 | − | 47.2440i | −0.370334 | − | 2.47967i | ||||
\(364\) | 0.423169 | − | 0.504314i | 0.0221801 | − | 0.0264332i | ||||
\(365\) | −21.2714 | + | 25.8951i | −1.11340 | + | 1.35541i | ||||
\(366\) | 1.33991 | − | 11.7497i | 0.0700381 | − | 0.614168i | ||||
\(367\) | 0.451928 | + | 0.0395385i | 0.0235904 | + | 0.00206390i | 0.0989448 | − | 0.995093i | \(-0.468453\pi\) |
−0.0753544 | + | 0.997157i | \(0.524009\pi\) | |||||||
\(368\) | 1.91237 | − | 7.13705i | 0.0996890 | − | 0.372044i | ||||
\(369\) | −10.7244 | + | 1.31460i | −0.558289 | + | 0.0684355i | ||||
\(370\) | 10.3106 | + | 14.4024i | 0.536025 | + | 0.748743i | ||||
\(371\) | 23.8621 | − | 4.20754i | 1.23886 | − | 0.218445i | ||||
\(372\) | −3.37649 | − | 0.687308i | −0.175063 | − | 0.0356353i | ||||
\(373\) | −5.05851 | − | 1.35542i | −0.261920 | − | 0.0701811i | 0.125469 | − | 0.992097i | \(-0.459956\pi\) |
−0.387389 | + | 0.921916i | \(0.626623\pi\) | |||||||
\(374\) | −8.59237 | + | 7.20986i | −0.444301 | + | 0.372813i | ||||
\(375\) | 8.27293 | + | 17.5088i | 0.427212 | + | 0.904151i | ||||
\(376\) | 3.07061 | + | 1.11761i | 0.158355 | + | 0.0576364i | ||||
\(377\) | −1.12567 | + | 0.0984838i | −0.0579752 | + | 0.00507217i | ||||
\(378\) | 14.2819 | + | 14.0432i | 0.734582 | + | 0.722306i | ||||
\(379\) | 35.1801i | 1.80708i | 0.428502 | + | 0.903541i | \(0.359041\pi\) | ||||
−0.428502 | + | 0.903541i | \(0.640959\pi\) | |||||||
\(380\) | 2.66960 | + | 9.37407i | 0.136947 | + | 0.480880i | ||||
\(381\) | −13.2924 | − | 6.62900i | −0.680990 | − | 0.339614i | ||||
\(382\) | 7.20994 | − | 5.04846i | 0.368893 | − | 0.258301i | ||||
\(383\) | −1.24815 | − | 14.2664i | −0.0637776 | − | 0.728981i | −0.959008 | − | 0.283378i | \(-0.908545\pi\) |
0.895231 | − | 0.445603i | \(-0.147011\pi\) | |||||||
\(384\) | 1.19214 | + | 1.25650i | 0.0608361 | + | 0.0641207i | ||||
\(385\) | −0.559542 | − | 53.5336i | −0.0285169 | − | 2.72833i | ||||
\(386\) | 11.6023 | + | 13.8271i | 0.590540 | + | 0.703778i | ||||
\(387\) | 14.9457 | − | 6.03498i | 0.759735 | − | 0.306775i | ||||
\(388\) | 3.63754 | + | 13.5755i | 0.184668 | + | 0.689191i | ||||
\(389\) | 3.68583 | + | 20.9034i | 0.186879 | + | 1.05984i | 0.923518 | + | 0.383556i | \(0.125301\pi\) |
−0.736639 | + | 0.676286i | \(0.763588\pi\) | |||||||
\(390\) | 0.387925 | − | 0.535761i | 0.0196433 | − | 0.0271293i | ||||
\(391\) | 6.67159 | − | 11.5555i | 0.337397 | − | 0.584388i | ||||
\(392\) | −7.59093 | − | 2.03398i | −0.383400 | − | 0.102732i | ||||
\(393\) | −0.900544 | − | 0.551978i | −0.0454264 | − | 0.0278436i | ||||
\(394\) | −1.41347 | − | 3.88347i | −0.0712095 | − | 0.195647i | ||||
\(395\) | 0.583130 | + | 5.94845i | 0.0293404 | + | 0.299299i | ||||
\(396\) | −18.6078 | − | 0.978941i | −0.935079 | − | 0.0491936i | ||||
\(397\) | −8.26843 | + | 5.78962i | −0.414980 | + | 0.290572i | −0.762361 | − | 0.647152i | \(-0.775960\pi\) |
0.347381 | + | 0.937724i | \(0.387071\pi\) | |||||||
\(398\) | −7.14291 | − | 7.14291i | −0.358042 | − | 0.358042i | ||||
\(399\) | −21.0079 | + | 20.1399i | −1.05171 | + | 1.00826i | ||||
\(400\) | −3.13318 | + | 3.89656i | −0.156659 | + | 0.194828i | ||||
\(401\) | −28.6872 | − | 5.05833i | −1.43257 | − | 0.252601i | −0.597115 | − | 0.802156i | \(-0.703686\pi\) |
−0.835458 | + | 0.549555i | \(0.814797\pi\) | |||||||
\(402\) | −13.7808 | − | 5.43000i | −0.687324 | − | 0.270824i | ||||
\(403\) | −0.307931 | + | 0.143591i | −0.0153391 | + | 0.00715276i | ||||
\(404\) | 6.26631 | − | 2.28075i | 0.311761 | − | 0.113472i | ||||
\(405\) | 15.3202 | + | 13.0496i | 0.761265 | + | 0.648441i | ||||
\(406\) | 12.7518 | + | 22.0868i | 0.632863 | + | 1.09615i | ||||
\(407\) | −12.7341 | − | 47.5244i | −0.631207 | − | 2.35570i | ||||
\(408\) | 1.49220 | + | 2.74895i | 0.0738750 | + | 0.136093i | ||||
\(409\) | 30.1159 | − | 5.31025i | 1.48914 | − | 0.262575i | 0.630915 | − | 0.775852i | \(-0.282680\pi\) |
0.858223 | + | 0.513277i | \(0.171569\pi\) | |||||||
\(410\) | 6.11476 | − | 5.24077i | 0.301986 | − | 0.258823i | ||||
\(411\) | −9.49016 | + | 0.579487i | −0.468115 | + | 0.0285840i | ||||
\(412\) | 6.42068 | + | 0.561737i | 0.316324 | + | 0.0276748i | ||||
\(413\) | 5.63677 | + | 2.62847i | 0.277367 | + | 0.129339i | ||||
\(414\) | 21.1992 | − | 6.47659i | 1.04188 | − | 0.318307i | ||||
\(415\) | 13.9729 | + | 23.6280i | 0.685904 | + | 1.15985i | ||||
\(416\) | 0.168193 | + | 0.0296569i | 0.00824634 | + | 0.00145405i | ||||
\(417\) | 8.82292 | + | 26.3777i | 0.432060 | + | 1.29172i | ||||
\(418\) | 2.21966 | − | 26.9828i | 0.108567 | − | 1.31977i | ||||
\(419\) | −19.8165 | −0.968097 | −0.484049 | − | 0.875041i | \(-0.660834\pi\) | ||||
−0.484049 | + | 0.875041i | \(0.660834\pi\) | |||||||
\(420\) | −14.6595 | − | 2.82481i | −0.715311 | − | 0.137837i | ||||
\(421\) | −17.2290 | − | 14.4568i | −0.839690 | − | 0.704583i | 0.117804 | − | 0.993037i | \(-0.462415\pi\) |
−0.957494 | + | 0.288453i | \(0.906859\pi\) | |||||||
\(422\) | −2.39720 | + | 1.11783i | −0.116694 | + | 0.0544153i | ||||
\(423\) | 2.03624 | + | 9.58922i | 0.0990053 | + | 0.466244i | ||||
\(424\) | 4.04050 | + | 4.81528i | 0.196224 | + | 0.233851i | ||||
\(425\) | −7.28651 | + | 5.33246i | −0.353447 | + | 0.258663i | ||||
\(426\) | 6.55740 | − | 4.33930i | 0.317707 | − | 0.210240i | ||||
\(427\) | −15.0958 | + | 21.5590i | −0.730535 | + | 1.04331i | ||||
\(428\) | −2.54118 | + | 3.62918i | −0.122832 | + | 0.175423i | ||||
\(429\) | −1.53224 | + | 1.01395i | −0.0739773 | + | 0.0489538i | ||||
\(430\) | −6.78760 | + | 9.91260i | −0.327327 | + | 0.478028i | ||||
\(431\) | 15.7255 | + | 18.7409i | 0.757470 | + | 0.902718i | 0.997685 | − | 0.0680021i | \(-0.0216624\pi\) |
−0.240215 | + | 0.970720i | \(0.577218\pi\) | |||||||
\(432\) | −1.30253 | + | 5.03025i | −0.0626679 | + | 0.242018i | ||||
\(433\) | 22.2793 | − | 10.3890i | 1.07068 | − | 0.499264i | 0.194324 | − | 0.980937i | \(-0.437749\pi\) |
0.876351 | + | 0.481673i | \(0.159971\pi\) | |||||||
\(434\) | 5.87443 | + | 4.92924i | 0.281982 | + | 0.236611i | ||||
\(435\) | 14.3636 | + | 21.2205i | 0.688683 | + | 1.01744i | ||||
\(436\) | −14.2816 | −0.683966 | ||||||||
\(437\) | 8.49713 | + | 31.0660i | 0.406473 | + | 1.48609i | ||||
\(438\) | −8.23413 | − | 24.6174i | −0.393442 | − | 1.17627i | ||||
\(439\) | −15.6147 | − | 2.75329i | −0.745247 | − | 0.131407i | −0.211886 | − | 0.977294i | \(-0.567960\pi\) |
−0.533362 | + | 0.845887i | \(0.679072\pi\) | |||||||
\(440\) | 11.9547 | − | 7.06965i | 0.569917 | − | 0.337032i | ||||
\(441\) | −6.88847 | − | 22.5474i | −0.328022 | − | 1.07368i | ||||
\(442\) | 0.279522 | + | 0.130343i | 0.0132955 | + | 0.00619980i | ||||
\(443\) | 34.3850 | + | 3.00830i | 1.63368 | + | 0.142929i | 0.866730 | − | 0.498778i | \(-0.166218\pi\) |
0.766951 | + | 0.641706i | \(0.221773\pi\) | |||||||
\(444\) | −13.6946 | + | 0.836220i | −0.649919 | + | 0.0396853i | ||||
\(445\) | 1.08108 | − | 14.0462i | 0.0512481 | − | 0.665853i | ||||
\(446\) | −23.0195 | + | 4.05896i | −1.09000 | + | 0.192197i | ||||
\(447\) | 10.8646 | + | 20.0149i | 0.513879 | + | 0.946673i | ||||
\(448\) | −0.997670 | − | 3.72335i | −0.0471355 | − | 0.175912i | ||||
\(449\) | 13.7522 | + | 23.8196i | 0.649008 | + | 1.12411i | 0.983360 | + | 0.181667i | \(0.0581491\pi\) |
−0.334352 | + | 0.942448i | \(0.608518\pi\) | |||||||
\(450\) | −14.8941 | − | 1.77965i | −0.702112 | − | 0.0838936i | ||||
\(451\) | −21.0208 | + | 7.65096i | −0.989833 | + | 0.360270i | ||||
\(452\) | −12.7927 | + | 5.96532i | −0.601716 | + | 0.280585i | ||||
\(453\) | 10.5880 | + | 4.17194i | 0.497466 | + | 0.196015i | ||||
\(454\) | 14.3232 | + | 2.52557i | 0.672223 | + | 0.118531i | ||||
\(455\) | −1.32758 | + | 0.636039i | −0.0622381 | + | 0.0298179i | ||||
\(456\) | −7.24975 | − | 2.10740i | −0.339501 | − | 0.0986882i | ||||
\(457\) | −14.0461 | − | 14.0461i | −0.657048 | − | 0.657048i | 0.297633 | − | 0.954681i | \(-0.403803\pi\) |
−0.954681 | + | 0.297633i | \(0.903803\pi\) | |||||||
\(458\) | −0.725098 | + | 0.507719i | −0.0338816 | + | 0.0237242i | ||||
\(459\) | −4.62313 | + | 8.16562i | −0.215789 | + | 0.381138i | ||||
\(460\) | −10.4872 | + | 12.7668i | −0.488969 | + | 0.595256i | ||||
\(461\) | −12.2137 | − | 33.5568i | −0.568847 | − | 1.56289i | −0.806307 | − | 0.591497i | \(-0.798537\pi\) |
0.237460 | − | 0.971397i | \(-0.423685\pi\) | |||||||
\(462\) | 35.3562 | + | 21.6712i | 1.64492 | + | 1.00823i | ||||
\(463\) | 5.88103 | + | 1.57582i | 0.273315 | + | 0.0732344i | 0.392873 | − | 0.919593i | \(-0.371481\pi\) |
−0.119558 | + | 0.992827i | \(0.538148\pi\) | |||||||
\(464\) | −3.30813 | + | 5.72985i | −0.153576 | + | 0.266001i | ||||
\(465\) | 6.24075 | + | 4.51869i | 0.289408 | + | 0.209549i | ||||
\(466\) | 2.38041 | + | 13.5000i | 0.110271 | + | 0.625375i | ||||
\(467\) | 5.50776 | + | 20.5553i | 0.254869 | + | 0.951184i | 0.968163 | + | 0.250319i | \(0.0805356\pi\) |
−0.713294 | + | 0.700865i | \(0.752798\pi\) | |||||||
\(468\) | 0.191839 | + | 0.475093i | 0.00886776 | + | 0.0219612i | ||||
\(469\) | 21.1890 | + | 25.2521i | 0.978419 | + | 1.16603i | ||||
\(470\) | −5.22037 | − | 5.11237i | −0.240798 | − | 0.235816i | ||||
\(471\) | 10.4387 | + | 11.0023i | 0.480989 | + | 0.506958i | ||||
\(472\) | 0.140624 | + | 1.60734i | 0.00647275 | + | 0.0739839i | ||||
\(473\) | 27.3360 | − | 19.1408i | 1.25691 | − | 0.880097i | ||||
\(474\) | −4.14311 | − | 2.06620i | −0.190299 | − | 0.0949035i | ||||
\(475\) | 3.22331 | − | 21.5548i | 0.147896 | − | 0.989003i | ||||
\(476\) | − | 6.96105i | − | 0.319059i | ||||||
\(477\) | −5.83095 | + | 17.9336i | −0.266981 | + | 0.821122i | ||||
\(478\) | −21.8587 | + | 1.91239i | −0.999792 | + | 0.0874705i | ||||
\(479\) | 33.1324 | + | 12.0592i | 1.51386 | + | 0.550999i | 0.959605 | − | 0.281351i | \(-0.0907824\pi\) |
0.554251 | + | 0.832349i | \(0.313005\pi\) | |||||||
\(480\) | −1.26687 | − | 3.65992i | −0.0578244 | − | 0.167052i | ||||
\(481\) | −1.03635 | + | 0.869605i | −0.0472537 | + | 0.0396506i | ||||
\(482\) | 6.46021 | + | 1.73101i | 0.294254 | + | 0.0788452i | ||||
\(483\) | −48.3404 | − | 9.84001i | −2.19956 | − | 0.447736i | ||||
\(484\) | −27.1599 | + | 4.78902i | −1.23454 | + | 0.217683i | ||||
\(485\) | 5.13340 | − | 31.0045i | 0.233096 | − | 1.40784i | ||||
\(486\) | −14.8693 | + | 4.68008i | −0.674486 | + | 0.212293i | ||||
\(487\) | −4.83858 | + | 18.0578i | −0.219257 | + | 0.818278i | 0.765368 | + | 0.643593i | \(0.222557\pi\) |
−0.984624 | + | 0.174685i | \(0.944109\pi\) | |||||||
\(488\) | −6.80169 | − | 0.595071i | −0.307898 | − | 0.0269376i | ||||
\(489\) | 3.51956 | − | 30.8633i | 0.159160 | − | 1.39569i | ||||
\(490\) | 13.5787 | + | 11.1541i | 0.613424 | + | 0.503893i | ||||
\(491\) | 8.29760 | − | 9.88870i | 0.374466 | − | 0.446271i | −0.545594 | − | 0.838050i | \(-0.683696\pi\) |
0.920059 | + | 0.391779i | \(0.128140\pi\) | |||||||
\(492\) | 0.921426 | + | 6.16964i | 0.0415411 | + | 0.278149i | ||||
\(493\) | −8.44854 | + | 8.44854i | −0.380503 | + | 0.380503i | ||||
\(494\) | −0.698219 | + | 0.258242i | −0.0314144 | + | 0.0116189i | ||||
\(495\) | 36.9874 | + | 19.1828i | 1.66246 | + | 0.862204i | ||||
\(496\) | −0.345455 | + | 1.95917i | −0.0155114 | + | 0.0879695i | ||||
\(497\) | −17.4329 | + | 1.52518i | −0.781974 | + | 0.0684139i | ||||
\(498\) | −21.2557 | − | 0.558734i | −0.952489 | − | 0.0250375i | ||||
\(499\) | 3.49017 | + | 9.58915i | 0.156241 | + | 0.429269i | 0.992973 | − | 0.118344i | \(-0.0377586\pi\) |
−0.836731 | + | 0.547614i | \(0.815536\pi\) | |||||||
\(500\) | 9.97972 | − | 5.04036i | 0.446307 | − | 0.225412i | ||||
\(501\) | −4.11431 | + | 0.251227i | −0.183814 | + | 0.0112240i | ||||
\(502\) | 3.06651 | − | 0.821668i | 0.136865 | − | 0.0366728i | ||||
\(503\) | −17.1913 | + | 24.5517i | −0.766523 | + | 1.09471i | 0.226176 | + | 0.974086i | \(0.427378\pi\) |
−0.992699 | + | 0.120621i | \(0.961511\pi\) | |||||||
\(504\) | 7.88839 | − | 8.45586i | 0.351377 | − | 0.376654i | ||||
\(505\) | −14.8672 | − | 1.14427i | −0.661581 | − | 0.0509193i | ||||
\(506\) | 39.7448 | − | 22.9467i | 1.76687 | − | 1.02010i | ||||
\(507\) | −19.1544 | − | 11.7404i | −0.850675 | − | 0.521412i | ||||
\(508\) | −3.62427 | + | 7.77228i | −0.160801 | + | 0.344839i | ||||
\(509\) | 5.22986 | + | 1.90351i | 0.231809 | + | 0.0843718i | 0.455313 | − | 0.890331i | \(-0.349527\pi\) |
−0.223504 | + | 0.974703i | \(0.571749\pi\) | |||||||
\(510\) | −0.499217 | − | 6.97623i | −0.0221057 | − | 0.308913i | ||||
\(511\) | −10.0316 | + | 56.8922i | −0.443773 | + | 2.51676i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −6.15943 | − | 21.7959i | −0.271945 | − | 0.962313i | ||||
\(514\) | 30.5631i | 1.34808i | ||||||||
\(515\) | −12.5557 | − | 7.07512i | −0.553272 | − | 0.311767i | ||||
\(516\) | −3.70984 | − | 8.53439i | −0.163317 | − | 0.375706i | ||||
\(517\) | 8.57752 | + | 18.3946i | 0.377239 | + | 0.808992i | ||||
\(518\) | 27.6735 | + | 12.9044i | 1.21590 | + | 0.566986i | ||||
\(519\) | −1.85370 | + | 0.444838i | −0.0813685 | + | 0.0195262i | ||||
\(520\) | −0.315100 | − | 0.215763i | −0.0138181 | − | 0.00946184i | ||||
\(521\) | −1.21902 | − | 0.703804i | −0.0534064 | − | 0.0308342i | 0.473059 | − | 0.881031i | \(-0.343150\pi\) |
−0.526465 | + | 0.850197i | \(0.676483\pi\) | |||||||
\(522\) | −19.8368 | + | 0.688730i | −0.868234 | + | 0.0301449i | ||||
\(523\) | −32.9449 | − | 23.0683i | −1.44058 | − | 1.00870i | −0.993454 | − | 0.114234i | \(-0.963559\pi\) |
−0.447126 | − | 0.894471i | \(-0.647552\pi\) | |||||||
\(524\) | −0.304912 | + | 0.528124i | −0.0133202 | + | 0.0230712i | ||||
\(525\) | 27.2421 | + | 19.2943i | 1.18894 | + | 0.842071i | ||||
\(526\) | 1.56123 | − | 1.31003i | 0.0680730 | − | 0.0571201i | ||||
\(527\) | −1.51829 | + | 3.25598i | −0.0661377 | + | 0.141833i | ||||
\(528\) | −0.282694 | + | 10.7544i | −0.0123027 | + | 0.468024i | ||||
\(529\) | −20.3086 | + | 24.2029i | −0.882983 | + | 1.05230i | ||||
\(530\) | −3.77958 | − | 13.5380i | −0.164175 | − | 0.588053i | ||||
\(531\) | −3.86634 | + | 2.91228i | −0.167785 | + | 0.126382i | ||||
\(532\) | 11.9425 | + | 11.8192i | 0.517772 | + | 0.512426i | ||||
\(533\) | 0.434941 | + | 0.434941i | 0.0188394 | + | 0.0188394i | ||||
\(534\) | 8.77127 | + | 6.49176i | 0.379570 | + | 0.280926i | ||||
\(535\) | 8.52721 | − | 5.04274i | 0.368663 | − | 0.218017i | ||||
\(536\) | −2.92486 | + | 8.03598i | −0.126335 | + | 0.347102i | ||||
\(537\) | 18.2647 | − | 14.5254i | 0.788180 | − | 0.626818i | ||||
\(538\) | 2.00681 | − | 22.9379i | 0.0865195 | − | 0.988923i | ||||
\(539\) | −24.4060 | − | 42.2724i | −1.05124 | − | 1.82080i | ||||
\(540\) | 7.29918 | − | 9.04002i | 0.314107 | − | 0.389021i | ||||
\(541\) | −3.87507 | − | 21.9766i | −0.166602 | − | 0.944849i | −0.947397 | − | 0.320061i | \(-0.896296\pi\) |
0.780794 | − | 0.624788i | \(-0.214815\pi\) | |||||||
\(542\) | −6.01016 | − | 4.20836i | −0.258158 | − | 0.180765i | ||||
\(543\) | 2.77354 | − | 13.6254i | 0.119024 | − | 0.584722i | ||||
\(544\) | 1.56392 | − | 0.902931i | 0.0670526 | − | 0.0387128i | ||||
\(545\) | 29.0821 | + | 13.1929i | 1.24574 | + | 0.565124i | ||||
\(546\) | 0.129196 | − | 1.13293i | 0.00552907 | − | 0.0484848i | ||||
\(547\) | −0.818057 | − | 1.75433i | −0.0349776 | − | 0.0750097i | 0.888043 | − | 0.459761i | \(-0.152065\pi\) |
−0.923020 | + | 0.384751i | \(0.874287\pi\) | |||||||
\(548\) | 0.478428 | + | 5.46846i | 0.0204374 | + | 0.233601i | ||||
\(549\) | −9.29543 | − | 18.2524i | −0.396719 | − | 0.778992i | ||||
\(550\) | −30.8744 | + | 3.35278i | −1.31649 | + | 0.142963i | ||||
\(551\) | −0.149655 | − | 28.8392i | −0.00637550 | − | 1.22859i | ||||
\(552\) | −4.05958 | − | 12.1369i | −0.172787 | − | 0.516579i | ||||
\(553\) | 5.90987 | + | 8.44017i | 0.251313 | + | 0.358912i | ||||
\(554\) | 16.9198 | + | 14.1974i | 0.718853 | + | 0.603190i | ||||
\(555\) | 28.6593 | + | 10.9479i | 1.21652 | + | 0.464712i | ||||
\(556\) | 15.0901 | − | 5.49234i | 0.639962 | − | 0.232927i | ||||
\(557\) | 0.486210 | − | 5.55741i | 0.0206014 | − | 0.235475i | −0.978912 | − | 0.204282i | \(-0.934514\pi\) |
0.999513 | − | 0.0311926i | \(-0.00993053\pi\) | |||||||
\(558\) | −5.53406 | + | 2.23461i | −0.234275 | + | 0.0945987i | ||||
\(559\) | −0.794661 | − | 0.458798i | −0.0336106 | − | 0.0194051i | ||||
\(560\) | −1.40794 | + | 8.50360i | −0.0594963 | + | 0.359343i | ||||
\(561\) | −5.51961 | + | 18.6270i | −0.233038 | + | 0.786434i | ||||
\(562\) | 5.43886 | − | 1.45734i | 0.229424 | − | 0.0614741i | ||||
\(563\) | −5.83241 | + | 21.7669i | −0.245807 | + | 0.917364i | 0.727169 | + | 0.686458i | \(0.240836\pi\) |
−0.972976 | + | 0.230906i | \(0.925831\pi\) | |||||||
\(564\) | 5.50353 | − | 1.32070i | 0.231741 | − | 0.0556114i | ||||
\(565\) | 31.5607 | − | 0.329878i | 1.32777 | − | 0.0138781i | ||||
\(566\) | 2.21000 | − | 6.07192i | 0.0928931 | − | 0.255222i | ||||
\(567\) | 34.0522 | + | 6.63328i | 1.43006 | + | 0.278571i | ||||
\(568\) | −2.60392 | − | 3.71878i | −0.109258 | − | 0.156036i | ||||
\(569\) | −18.7453 | −0.785845 | −0.392923 | − | 0.919571i | \(-0.628536\pi\) | ||||
−0.392923 | + | 0.919571i | \(0.628536\pi\) | |||||||
\(570\) | 12.8161 | + | 10.9885i | 0.536809 | + | 0.460257i | ||||
\(571\) | −15.0821 | −0.631164 | −0.315582 | − | 0.948898i | \(-0.602200\pi\) | ||||
−0.315582 | + | 0.948898i | \(0.602200\pi\) | |||||||
\(572\) | 0.608446 | + | 0.868951i | 0.0254404 | + | 0.0363327i | ||||
\(573\) | 5.58874 | − | 14.1837i | 0.233473 | − | 0.592531i | ||||
\(574\) | 4.74823 | − | 13.0457i | 0.198187 | − | 0.544515i | ||||
\(575\) | 33.1490 | − | 16.3097i | 1.38241 | − | 0.680161i | ||||
\(576\) | 2.92297 | + | 0.675440i | 0.121791 | + | 0.0281433i | ||||
\(577\) | −6.20810 | + | 23.1689i | −0.258447 | + | 0.964536i | 0.707694 | + | 0.706519i | \(0.249736\pi\) |
−0.966140 | + | 0.258017i | \(0.916931\pi\) | |||||||
\(578\) | −13.2707 | + | 3.55588i | −0.551989 | + | 0.147905i | ||||
\(579\) | 29.9751 | + | 8.88229i | 1.24572 | + | 0.369136i | ||||
\(580\) | 12.0295 | − | 8.61192i | 0.499498 | − | 0.357590i | ||||
\(581\) | 40.9812 | + | 23.6605i | 1.70019 | + | 0.981604i | ||||
\(582\) | 18.2301 | + | 16.1319i | 0.755664 | + | 0.668690i | ||||
\(583\) | −3.40281 | + | 38.8943i | −0.140930 | + | 1.61084i | ||||
\(584\) | −14.0830 | + | 5.12581i | −0.582761 | + | 0.212108i | ||||
\(585\) | 0.0482289 | − | 1.14466i | 0.00199402 | − | 0.0473260i | ||||
\(586\) | 9.90935 | + | 8.31493i | 0.409351 | + | 0.343487i | ||||
\(587\) | −8.01473 | − | 11.4462i | −0.330803 | − | 0.472436i | 0.618952 | − | 0.785429i | \(-0.287557\pi\) |
−0.949756 | + | 0.312993i | \(0.898668\pi\) | |||||||
\(588\) | −12.9087 | + | 4.31776i | −0.532347 | + | 0.178061i | ||||
\(589\) | −3.00810 | − | 8.13312i | −0.123947 | − | 0.335119i | ||||
\(590\) | 1.19846 | − | 3.40299i | 0.0493397 | − | 0.140099i | ||||
\(591\) | −5.75362 | − | 4.25835i | −0.236672 | − | 0.175165i | ||||
\(592\) | 0.690389 | + | 7.89119i | 0.0283748 | + | 0.324326i | ||||
\(593\) | 1.77958 | + | 3.81631i | 0.0730784 | + | 0.156717i | 0.939453 | − | 0.342677i | \(-0.111334\pi\) |
−0.866375 | + | 0.499394i | \(0.833556\pi\) | |||||||
\(594\) | −27.8134 | + | 16.3721i | −1.14120 | + | 0.671754i | ||||
\(595\) | −6.43042 | + | 14.1750i | −0.263621 | + | 0.581119i | ||||
\(596\) | 11.3868 | − | 6.57417i | 0.466422 | − | 0.269289i | ||||
\(597\) | −17.1449 | − | 3.48996i | −0.701694 | − | 0.142835i | ||||
\(598\) | −1.03370 | − | 0.723806i | −0.0422712 | − | 0.0295986i | ||||
\(599\) | 2.85741 | + | 16.2052i | 0.116751 | + | 0.662126i | 0.985869 | + | 0.167521i | \(0.0535762\pi\) |
−0.869118 | + | 0.494605i | \(0.835313\pi\) | |||||||
\(600\) | −0.801167 | + | 8.62312i | −0.0327075 | + | 0.352037i | ||||
\(601\) | 0.487378 | + | 0.844164i | 0.0198806 | + | 0.0344342i | 0.875795 | − | 0.482684i | \(-0.160338\pi\) |
−0.855914 | + | 0.517118i | \(0.827005\pi\) | |||||||
\(602\) | −1.80502 | + | 20.6315i | −0.0735671 | + | 0.840875i | ||||
\(603\) | −25.0956 | + | 5.32897i | −1.02197 | + | 0.217012i | ||||
\(604\) | 2.24721 | − | 6.17415i | 0.0914375 | − | 0.251223i | ||||
\(605\) | 59.7305 | + | 15.3375i | 2.42839 | + | 0.623557i | ||||
\(606\) | 6.87121 | − | 9.28396i | 0.279124 | − | 0.377135i | ||||
\(607\) | 22.7741 | + | 22.7741i | 0.924373 | + | 0.924373i | 0.997335 | − | 0.0729620i | \(-0.0232452\pi\) |
−0.0729620 | + | 0.997335i | \(0.523245\pi\) | |||||||
\(608\) | −1.10630 | + | 4.21617i | −0.0448665 | + | 0.170988i | ||||
\(609\) | 39.5306 | + | 19.7142i | 1.60186 | + | 0.798858i | ||||
\(610\) | 13.3008 | + | 7.49497i | 0.538534 | + | 0.303462i | ||||
\(611\) | 0.358726 | − | 0.427513i | 0.0145125 | − | 0.0172953i | ||||
\(612\) | 4.78293 | + | 2.54436i | 0.193339 | + | 0.102850i | ||||
\(613\) | 4.28488 | − | 9.18896i | 0.173065 | − | 0.371139i | −0.800574 | − | 0.599234i | \(-0.795472\pi\) |
0.973639 | + | 0.228095i | \(0.0732498\pi\) | |||||||
\(614\) | 20.0401 | − | 16.8157i | 0.808753 | − | 0.678625i | ||||
\(615\) | 3.82301 | − | 13.4146i | 0.154158 | − | 0.540930i | ||||
\(616\) | 11.9711 | − | 20.7346i | 0.482331 | − | 0.835421i | ||||
\(617\) | −16.3189 | − | 11.4266i | −0.656976 | − | 0.460019i | 0.196950 | − | 0.980413i | \(-0.436896\pi\) |
−0.853926 | + | 0.520394i | \(0.825785\pi\) | |||||||
\(618\) | 9.81115 | − | 5.32574i | 0.394662 | − | 0.214233i | ||||
\(619\) | 2.50509 | + | 1.44631i | 0.100688 | + | 0.0581322i | 0.549498 | − | 0.835495i | \(-0.314819\pi\) |
−0.448810 | + | 0.893627i | \(0.648152\pi\) | |||||||
\(620\) | 2.51329 | − | 3.67041i | 0.100936 | − | 0.147407i | ||||
\(621\) | 24.4301 | − | 29.6179i | 0.980347 | − | 1.18853i | ||||
\(622\) | −9.62501 | − | 4.48822i | −0.385928 | − | 0.179961i | ||||
\(623\) | −10.2635 | − | 22.0101i | −0.411197 | − | 0.881816i | ||||
\(624\) | 0.271290 | − | 0.117928i | 0.0108603 | − | 0.00472089i | ||||
\(625\) | −24.9782 | + | 1.04487i | −0.999126 | + | 0.0417950i | ||||
\(626\) | − | 32.7474i | − | 1.30885i | ||||||
\(627\) | −22.5850 | − | 41.0964i | −0.901960 | − | 1.64123i | ||||
\(628\) | 6.19161 | − | 6.19161i | 0.247072 | − | 0.247072i | ||||
\(629\) | −2.48401 | + | 14.0875i | −0.0990438 | + | 0.561705i | ||||
\(630\) | −23.8747 | + | 9.93188i | −0.951190 | + | 0.395695i | ||||
\(631\) | −30.4987 | − | 11.1006i | −1.21414 | − | 0.441909i | −0.345999 | − | 0.938235i | \(-0.612460\pi\) |
−0.868137 | + | 0.496325i | \(0.834682\pi\) | |||||||
\(632\) | −1.12965 | + | 2.42254i | −0.0449351 | + | 0.0963636i | ||||
\(633\) | −2.39412 | + | 3.90597i | −0.0951578 | + | 0.155248i | ||||
\(634\) | 16.2899 | − | 9.40497i | 0.646954 | − | 0.373519i | ||||
\(635\) | 14.5600 | − | 12.4789i | 0.577797 | − | 0.495212i | ||||
\(636\) | 10.4388 | + | 3.09326i | 0.413927 | + | 0.122656i | ||||
\(637\) | −0.769837 | + | 1.09944i | −0.0305021 | + | 0.0435615i | ||||
\(638\) | −39.6946 | + | 10.6361i | −1.57152 | + | 0.421088i | ||||
\(639\) | 5.32403 | − | 12.5356i | 0.210615 | − | 0.495902i | ||||
\(640\) | −2.09311 | + | 0.786700i | −0.0827374 | + | 0.0310970i | ||||
\(641\) | 10.0191 | + | 27.5272i | 0.395729 | + | 1.08726i | 0.964344 | + | 0.264653i | \(0.0852574\pi\) |
−0.568614 | + | 0.822604i | \(0.692520\pi\) | |||||||
\(642\) | −0.201644 | + | 7.67104i | −0.00795824 | + | 0.302752i | ||||
\(643\) | −22.0909 | + | 1.93270i | −0.871179 | + | 0.0762183i | −0.513972 | − | 0.857807i | \(-0.671827\pi\) |
−0.357207 | + | 0.934025i | \(0.616271\pi\) | |||||||
\(644\) | −4.94579 | + | 28.0490i | −0.194891 | + | 1.10528i | ||||
\(645\) | −0.329354 | + | 20.8059i | −0.0129683 | + | 0.819231i | ||||
\(646\) | −3.90036 | + | 6.83731i | −0.153457 | + | 0.269010i | ||||
\(647\) | −12.6179 | + | 12.6179i | −0.496060 | + | 0.496060i | −0.910209 | − | 0.414149i | \(-0.864079\pi\) |
0.414149 | + | 0.910209i | \(0.364079\pi\) | |||||||
\(648\) | 2.92670 | + | 8.51084i | 0.114972 | + | 0.334337i | ||||
\(649\) | −6.44179 | + | 7.67702i | −0.252862 | + | 0.301350i | ||||
\(650\) | 0.442333 | + | 0.730446i | 0.0173497 | + | 0.0286504i | ||||
\(651\) | 13.1968 | + | 1.50492i | 0.517222 | + | 0.0589825i | ||||
\(652\) | −17.8662 | − | 1.56309i | −0.699693 | − | 0.0612152i | ||||
\(653\) | −8.71012 | + | 32.5066i | −0.340853 | + | 1.27208i | 0.556529 | + | 0.830828i | \(0.312133\pi\) |
−0.897383 | + | 0.441253i | \(0.854534\pi\) | |||||||
\(654\) | −20.6288 | + | 13.6509i | −0.806650 | + | 0.533793i | ||||
\(655\) | 1.10877 | − | 0.793766i | 0.0433232 | − | 0.0310150i | ||||
\(656\) | 3.54684 | − | 0.625403i | 0.138481 | − | 0.0244179i | ||||
\(657\) | −35.4239 | − | 27.6876i | −1.38202 | − | 1.08020i | ||||
\(658\) | −12.1667 | − | 3.26006i | −0.474308 | − | 0.127090i | ||||
\(659\) | −21.8138 | + | 18.3040i | −0.849746 | + | 0.713021i | −0.959734 | − | 0.280912i | \(-0.909363\pi\) |
0.109988 | + | 0.993933i | \(0.464919\pi\) | |||||||
\(660\) | 10.5102 | − | 21.6383i | 0.409110 | − | 0.842271i | ||||
\(661\) | 26.6217 | + | 9.68952i | 1.03547 | + | 0.376878i | 0.803159 | − | 0.595764i | \(-0.203151\pi\) |
0.232306 | + | 0.972643i | \(0.425373\pi\) | |||||||
\(662\) | −13.5232 | + | 1.18313i | −0.525596 | + | 0.0459837i | ||||
\(663\) | 0.528337 | − | 0.0789063i | 0.0205189 | − | 0.00306447i | ||||
\(664\) | 12.2762i | 0.476409i | ||||||||
\(665\) | −13.4006 | − | 35.0999i | −0.519655 | − | 1.36111i | ||||
\(666\) | −18.9816 | + | 14.2977i | −0.735524 | + | 0.554025i | ||||
\(667\) | 40.0453 | − | 28.0400i | 1.55056 | − | 1.08571i | ||||
\(668\) | 0.207415 | + | 2.37077i | 0.00802513 | + | 0.0917277i | ||||
\(669\) | −29.3703 | + | 27.8658i | −1.13552 | + | 1.07735i | ||||
\(670\) | 13.3794 | − | 13.6620i | 0.516891 | − | 0.527810i | ||||
\(671\) | −27.2593 | − | 32.4864i | −1.05233 | − | 1.25412i | ||||
\(672\) | −4.99999 | − | 4.42451i | −0.192879 | − | 0.170679i | ||||
\(673\) | −6.23196 | − | 23.2580i | −0.240224 | − | 0.896530i | −0.975724 | − | 0.219004i | \(-0.929719\pi\) |
0.735499 | − | 0.677525i | \(-0.236948\pi\) | |||||||
\(674\) | −3.14099 | − | 17.8135i | −0.120986 | − | 0.686149i | ||||
\(675\) | −23.2145 | + | 11.6657i | −0.893525 | + | 0.449014i | ||||
\(676\) | −6.48542 | + | 11.2331i | −0.249439 | + | 0.432041i | ||||
\(677\) | −18.8373 | − | 5.04743i | −0.723975 | − | 0.193989i | −0.122030 | − | 0.992526i | \(-0.538941\pi\) |
−0.601945 | + | 0.798538i | \(0.705607\pi\) | |||||||
\(678\) | −12.7762 | + | 20.8442i | −0.490668 | + | 0.800516i | ||||
\(679\) | −18.5291 | − | 50.9083i | −0.711081 | − | 1.95368i | ||||
\(680\) | −4.01876 | + | 0.393961i | −0.154113 | + | 0.0151077i | ||||
\(681\) | 23.1029 | − | 10.0427i | 0.885306 | − | 0.384837i | ||||
\(682\) | −10.1219 | + | 7.08741i | −0.387586 | + | 0.271391i | ||||
\(683\) | −6.67662 | − | 6.67662i | −0.255474 | − | 0.255474i | 0.567737 | − | 0.823210i | \(-0.307819\pi\) |
−0.823210 | + | 0.567737i | \(0.807819\pi\) | |||||||
\(684\) | −12.4861 | + | 3.88559i | −0.477417 | + | 0.148569i | ||||
\(685\) | 4.07737 | − | 11.5776i | 0.155788 | − | 0.442356i | ||||
\(686\) | 3.25979 | + | 0.574789i | 0.124459 | + | 0.0219455i | ||||
\(687\) | −0.562055 | + | 1.42644i | −0.0214437 | + | 0.0544221i | ||||
\(688\) | −4.86935 | + | 2.27061i | −0.185642 | + | 0.0865664i | ||||
\(689\) | 1.00881 | − | 0.367177i | 0.0384326 | − | 0.0139883i | ||||
\(690\) | −2.94502 | + | 28.4648i | −0.112115 | + | 1.08364i | ||||
\(691\) | 10.0500 | + | 17.4071i | 0.382319 | + | 0.662196i | 0.991393 | − | 0.130917i | \(-0.0417921\pi\) |
−0.609074 | + | 0.793113i | \(0.708459\pi\) | |||||||
\(692\) | 0.284861 | + | 1.06312i | 0.0108288 | + | 0.0404137i | ||||
\(693\) | 71.7836 | − | 2.49231i | 2.72683 | − | 0.0946750i | ||||
\(694\) | 9.07383 | − | 1.59996i | 0.344438 | − | 0.0607337i | ||||
\(695\) | −35.8021 | − | 2.75555i | −1.35805 | − | 0.104524i | ||||
\(696\) | 0.698450 | + | 11.4384i | 0.0264747 | + | 0.433571i | ||||
\(697\) | 6.47915 | + | 0.566852i | 0.245415 | + | 0.0214711i | ||||
\(698\) | −7.41431 | − | 3.45735i | −0.280636 | − | 0.130863i | ||||
\(699\) | 16.3421 | + | 17.2245i | 0.618117 | + | 0.651490i | ||||
\(700\) | 10.7224 | − | 16.0155i | 0.405269 | − | 0.605331i | ||||
\(701\) | 8.57744 | + | 1.51243i | 0.323965 | + | 0.0571238i | 0.333266 | − | 0.942833i | \(-0.391849\pi\) |
−0.00930044 | + | 0.999957i | \(0.502960\pi\) | |||||||
\(702\) | 0.731210 | + | 0.502871i | 0.0275977 | + | 0.0189796i | ||||
\(703\) | −19.9511 | − | 28.1808i | −0.752470 | − | 1.06286i | ||||
\(704\) | 6.21119 | 0.234093 | ||||||||
\(705\) | −12.4270 | − | 2.39462i | −0.468029 | − | 0.0901868i | ||||
\(706\) | −3.71133 | − | 3.11418i | −0.139678 | − | 0.117204i | ||||
\(707\) | −23.2966 | + | 10.8634i | −0.876159 | + | 0.408559i | ||||
\(708\) | 1.73948 | + | 2.18728i | 0.0653737 | + | 0.0822029i | ||||
\(709\) | −28.0795 | − | 33.4638i | −1.05455 | − | 1.25676i | −0.965409 | − | 0.260741i | \(-0.916033\pi\) |
−0.0891384 | − | 0.996019i | \(-0.528411\pi\) | |||||||
\(710\) | 1.86714 | + | 9.97809i | 0.0700725 | + | 0.374471i | ||||
\(711\) | −7.95937 | + | 0.975666i | −0.298500 | + | 0.0365903i | ||||
\(712\) | 3.61366 | − | 5.16084i | 0.135428 | − | 0.193411i | ||||
\(713\) | 8.43117 | − | 12.0410i | 0.315750 | − | 0.450937i | ||||
\(714\) | −6.65364 | − | 10.0547i | −0.249006 | − | 0.376289i | ||||
\(715\) | −0.436287 | − | 2.33154i | −0.0163162 | − | 0.0871946i | ||||
\(716\) | −8.66045 | − | 10.3211i | −0.323656 | − | 0.385718i | ||||
\(717\) | −29.7454 | + | 23.6557i | −1.11086 | + | 0.883437i | ||||
\(718\) | −9.54321 | + | 4.45007i | −0.356150 | + | 0.166075i | ||||
\(719\) | 4.23694 | + | 3.55521i | 0.158011 | + | 0.132587i | 0.718365 | − | 0.695666i | \(-0.244891\pi\) |
−0.560354 | + | 0.828253i | \(0.689335\pi\) | |||||||
\(720\) | −5.32819 | − | 4.07558i | −0.198570 | − | 0.151888i | ||||
\(721\) | −24.8444 | −0.925252 | ||||||||
\(722\) | −5.10777 | − | 18.3006i | −0.190091 | − | 0.681077i | ||||
\(723\) | 10.9859 | − | 3.67460i | 0.408569 | − | 0.136660i | ||||
\(724\) | −7.90599 | − | 1.39404i | −0.293824 | − | 0.0518091i | ||||
\(725\) | −32.4515 | + | 6.42421i | −1.20522 | + | 0.238589i | ||||
\(726\) | −34.6530 | + | 32.8778i | −1.28609 | + | 1.22021i | ||||
\(727\) | −5.02995 | − | 2.34550i | −0.186551 | − | 0.0869899i | 0.327099 | − | 0.944990i | \(-0.393929\pi\) |
−0.513649 | + | 0.858000i | \(0.671707\pi\) | |||||||
\(728\) | −0.655830 | − | 0.0573777i | −0.0243067 | − | 0.00212656i | ||||
\(729\) | −17.0043 | + | 20.9727i | −0.629788 | + | 0.776767i | ||||
\(730\) | 33.4128 | + | 2.57166i | 1.23666 | + | 0.0951813i | ||||
\(731\) | −9.55500 | + | 1.68481i | −0.353405 | + | 0.0623148i | ||||
\(732\) | −10.3934 | + | 5.64178i | −0.384149 | + | 0.208526i | ||||
\(733\) | 6.56460 | + | 24.4994i | 0.242469 | + | 0.904907i | 0.974639 | + | 0.223784i | \(0.0718412\pi\) |
−0.732170 | + | 0.681122i | \(0.761492\pi\) | |||||||
\(734\) | −0.226827 | − | 0.392876i | −0.00837234 | − | 0.0145013i | ||||
\(735\) | 30.2751 | + | 3.13231i | 1.11671 | + | 0.115537i | ||||
\(736\) | −6.94321 | + | 2.52712i | −0.255930 | + | 0.0931510i | ||||
\(737\) | −48.1397 | + | 22.4479i | −1.77325 | + | 0.826880i | ||||
\(738\) | 7.22811 | + | 8.03087i | 0.266070 | + | 0.295621i | ||||
\(739\) | 22.1066 | + | 3.89798i | 0.813203 | + | 0.143390i | 0.564758 | − | 0.825257i | \(-0.308970\pi\) |
0.248445 | + | 0.968646i | \(0.420081\pi\) | |||||||
\(740\) | 5.88379 | − | 16.7068i | 0.216292 | − | 0.614156i | ||||
\(741\) | −0.761691 | + | 1.04040i | −0.0279814 | + | 0.0382199i | ||||
\(742\) | −17.1334 | − | 17.1334i | −0.628986 | − | 0.628986i | ||||
\(743\) | 18.4258 | − | 12.9019i | 0.675976 | − | 0.473323i | −0.184488 | − | 0.982835i | \(-0.559063\pi\) |
0.860464 | + | 0.509511i | \(0.170174\pi\) | |||||||
\(744\) | 1.37367 | + | 3.16009i | 0.0503611 | + | 0.115854i | ||||
\(745\) | −29.2603 | + | 2.86840i | −1.07202 | + | 0.105090i | ||||
\(746\) | 1.79114 | + | 4.92113i | 0.0655784 | + | 0.180175i | ||||
\(747\) | −31.2363 | + | 19.5099i | −1.14288 | + | 0.713830i | ||||
\(748\) | 10.8343 | + | 2.90306i | 0.396143 | + | 0.106146i | ||||
\(749\) | 8.53894 | − | 14.7899i | 0.312006 | − | 0.540411i | ||||
\(750\) | 9.59722 | − | 16.8194i | 0.350441 | − | 0.614159i | ||||
\(751\) | 1.71747 | + | 9.74024i | 0.0626713 | + | 0.355426i | 0.999976 | + | 0.00691575i | \(0.00220137\pi\) |
−0.937305 | + | 0.348511i | \(0.886688\pi\) | |||||||
\(752\) | −0.845737 | − | 3.15633i | −0.0308408 | − | 0.115100i | ||||
\(753\) | 3.64397 | − | 4.11792i | 0.132794 | − | 0.150065i | ||||
\(754\) | 0.726334 | + | 0.865611i | 0.0264515 | + | 0.0315237i | ||||
\(755\) | −10.2796 | + | 10.4967i | −0.374111 | + | 0.382015i | ||||
\(756\) | 3.31179 | − | 19.7539i | 0.120449 | − | 0.718443i | ||||
\(757\) | −2.32341 | − | 26.5566i | −0.0844456 | − | 0.965218i | −0.913711 | − | 0.406364i | \(-0.866797\pi\) |
0.829266 | − | 0.558854i | \(-0.188759\pi\) | |||||||
\(758\) | 28.8179 | − | 20.1785i | 1.04671 | − | 0.732916i | ||||
\(759\) | 35.4752 | − | 71.1344i | 1.28767 | − | 2.58201i | ||||
\(760\) | 6.14757 | − | 7.56355i | 0.222996 | − | 0.274359i | ||||
\(761\) | 22.9301i | 0.831215i | 0.909544 | + | 0.415607i | \(0.136431\pi\) | ||||
−0.909544 | + | 0.415607i | \(0.863569\pi\) | |||||||
\(762\) | 2.19404 | + | 14.6907i | 0.0794815 | + | 0.532189i | ||||
\(763\) | 54.8419 | − | 4.79804i | 1.98541 | − | 0.173701i | ||||
\(764\) | −8.27091 | − | 3.01036i | −0.299231 | − | 0.108911i | ||||
\(765\) | −7.38923 | − | 9.59950i | −0.267158 | − | 0.347071i | ||||
\(766\) | −10.9705 | + | 9.20533i | −0.396380 | + | 0.332602i | ||||
\(767\) | 0.266173 | + | 0.0713209i | 0.00961095 | + | 0.00257525i | ||||
\(768\) | 0.345486 | − | 1.69724i | 0.0124666 | − | 0.0612440i | ||||
\(769\) | −30.4540 | + | 5.36986i | −1.09820 | + | 0.193642i | −0.693250 | − | 0.720697i | \(-0.743822\pi\) |
−0.404949 | + | 0.914339i | \(0.632711\pi\) | |||||||
\(770\) | −43.5312 | + | 31.1640i | −1.56876 | + | 1.12307i | ||||
\(771\) | 29.2133 | + | 44.1462i | 1.05209 | + | 1.58989i | ||||
\(772\) | 4.67167 | − | 17.4349i | 0.168137 | − | 0.627496i | ||||
\(773\) | 36.1265 | + | 3.16066i | 1.29938 | + | 0.113681i | 0.715761 | − | 0.698346i | \(-0.246080\pi\) |
0.583620 | + | 0.812027i | \(0.301636\pi\) | |||||||
\(774\) | −13.5161 | − | 8.78131i | −0.485826 | − | 0.315638i | ||||
\(775\) | −8.50851 | + | 5.15246i | −0.305635 | + | 0.185082i | ||||
\(776\) | 9.03398 | − | 10.7663i | 0.324301 | − | 0.386487i | ||||
\(777\) | 52.3069 | − | 7.81195i | 1.87650 | − | 0.280252i | ||||
\(778\) | 15.0089 | − | 15.0089i | 0.538096 | − | 0.538096i | ||||
\(779\) | −11.9735 | + | 10.1533i | −0.428993 | + | 0.363778i | ||||
\(780\) | −0.661375 | − | 0.0104695i | −0.0236810 | − | 0.000374867i | ||||
\(781\) | 4.89644 | − | 27.7691i | 0.175209 | − | 0.993657i | ||||
\(782\) | −13.2924 | + | 1.16293i | −0.475335 | + | 0.0415864i | ||||
\(783\) | −27.9946 | + | 19.9556i | −1.00044 | + | 0.713155i | ||||
\(784\) | 2.68784 | + | 7.38477i | 0.0959942 | + | 0.263742i | ||||
\(785\) | −18.3278 | + | 6.88854i | −0.654147 | + | 0.245863i | ||||
\(786\) | 0.0643765 | + | 1.05428i | 0.00229624 | + | 0.0376051i | ||||
\(787\) | 47.3730 | − | 12.6936i | 1.68867 | − | 0.452477i | 0.718621 | − | 0.695402i | \(-0.244774\pi\) |
0.970045 | + | 0.242926i | \(0.0781072\pi\) | |||||||
\(788\) | −2.37042 | + | 3.38531i | −0.0844428 | + | 0.120597i | ||||
\(789\) | 1.00291 | − | 3.38453i | 0.0357047 | − | 0.120493i | ||||
\(790\) | 4.53822 | − | 3.88956i | 0.161463 | − | 0.138385i | ||||
\(791\) | 47.1201 | − | 27.2048i | 1.67540 | − | 0.967292i | ||||
\(792\) | 9.87111 | + | 15.8041i | 0.350755 | + | 0.561576i | ||||
\(793\) | −0.492808 | + | 1.05683i | −0.0175001 | + | 0.0375291i | ||||
\(794\) | 9.48515 | + | 3.45231i | 0.336615 | + | 0.122518i | ||||
\(795\) | −18.3995 | − | 15.9420i | −0.652562 | − | 0.565405i | ||||
\(796\) | −1.75412 | + | 9.94814i | −0.0621733 | + | 0.352602i | ||||
\(797\) | −9.79981 | + | 9.79981i | −0.347127 | + | 0.347127i | −0.859038 | − | 0.511911i | \(-0.828938\pi\) |
0.511911 | + | 0.859038i | \(0.328938\pi\) | |||||||
\(798\) | 28.5473 | + | 5.65688i | 1.01056 | + | 0.200251i | ||||
\(799\) | − | 5.90097i | − | 0.208761i | ||||||
\(800\) | 4.98899 | + | 0.331571i | 0.176388 | + | 0.0117228i | ||||
\(801\) | 18.8746 | + | 0.992973i | 0.666900 | + | 0.0350850i | ||||
\(802\) | 12.3108 | + | 26.4006i | 0.434709 | + | 0.932236i | ||||
\(803\) | −84.3648 | − | 39.3400i | −2.97717 | − | 1.38828i | ||||
\(804\) | 3.45635 | + | 14.4031i | 0.121896 | + | 0.507958i | ||||
\(805\) | 35.9821 | − | 52.5482i | 1.26820 | − | 1.85208i | ||||
\(806\) | 0.294245 | + | 0.169882i | 0.0103643 | + | 0.00598384i | ||||
\(807\) | −19.0262 | − | 35.0503i | −0.669755 | − | 1.23383i | ||||
\(808\) | −5.46249 | − | 3.82488i | −0.192170 | − | 0.134559i | ||||
\(809\) | 2.88895 | − | 5.00381i | 0.101570 | − | 0.175924i | −0.810762 | − | 0.585376i | \(-0.800947\pi\) |
0.912332 | + | 0.409452i | \(0.134280\pi\) | |||||||
\(810\) | 1.90234 | − | 20.0345i | 0.0668415 | − | 0.703940i | ||||
\(811\) | −13.8117 | + | 11.5894i | −0.484994 | + | 0.406958i | −0.852228 | − | 0.523170i | \(-0.824749\pi\) |
0.367234 | + | 0.930128i | \(0.380305\pi\) | |||||||
\(812\) | 10.7783 | − | 23.1142i | 0.378245 | − | 0.811149i | ||||
\(813\) | −12.7038 | − | 0.333936i | −0.445540 | − | 0.0117116i | ||||
\(814\) | −31.6257 | + | 37.6901i | −1.10848 | + | 1.32104i | ||||
\(815\) | 34.9375 | + | 19.6872i | 1.22381 | + | 0.689613i | ||||
\(816\) | 1.39592 | − | 2.79907i | 0.0488669 | − | 0.0979872i | ||||
\(817\) | 13.3330 | − | 19.2533i | 0.466461 | − | 0.673589i | ||||
\(818\) | −21.6237 | − | 21.6237i | −0.756055 | − | 0.756055i | ||||
\(819\) | −0.896280 | − | 1.75992i | −0.0313186 | − | 0.0614966i | ||||
\(820\) | −7.80026 | − | 2.00294i | −0.272397 | − | 0.0699455i | ||||
\(821\) | 2.86843 | − | 7.88095i | 0.100109 | − | 0.275047i | −0.879520 | − | 0.475861i | \(-0.842136\pi\) |
0.979629 | + | 0.200814i | \(0.0643587\pi\) | |||||||
\(822\) | 5.91802 | + | 7.44150i | 0.206415 | + | 0.259552i | ||||
\(823\) | 4.23304 | − | 48.3838i | 0.147554 | − | 1.68655i | −0.456588 | − | 0.889678i | \(-0.650929\pi\) |
0.604143 | − | 0.796876i | \(-0.293516\pi\) | |||||||
\(824\) | −3.22261 | − | 5.58172i | −0.112265 | − | 0.194448i | ||||
\(825\) | −41.3912 | + | 34.3538i | −1.44106 | + | 1.19605i | ||||
\(826\) | −1.08000 | − | 6.12500i | −0.0375781 | − | 0.213116i | ||||
\(827\) | 23.7965 | + | 16.6625i | 0.827487 | + | 0.579413i | 0.908779 | − | 0.417278i | \(-0.137016\pi\) |
−0.0812920 | + | 0.996690i | \(0.525905\pi\) | |||||||
\(828\) | −17.4647 | − | 13.6505i | −0.606939 | − | 0.474389i | ||||
\(829\) | 9.79697 | − | 5.65628i | 0.340263 | − | 0.196451i | −0.320125 | − | 0.947375i | \(-0.603725\pi\) |
0.660388 | + | 0.750924i | \(0.270392\pi\) | |||||||
\(830\) | 11.3404 | − | 24.9984i | 0.393631 | − | 0.867708i | ||||
\(831\) | 38.0098 | + | 4.33454i | 1.31855 | + | 0.150364i | ||||
\(832\) | −0.0721779 | − | 0.154786i | −0.00250232 | − | 0.00536624i | ||||
\(833\) | 1.23689 | + | 14.1377i | 0.0428558 | + | 0.489844i | ||||
\(834\) | 16.5468 | − | 22.3570i | 0.572967 | − | 0.774158i | ||||
\(835\) | 1.76768 | − | 5.01927i | 0.0611730 | − | 0.173699i | ||||
\(836\) | −23.3762 | + | 13.6585i | −0.808481 | + | 0.472388i | ||||
\(837\) | −5.85763 | + | 8.51740i | −0.202469 | + | 0.294405i | ||||
\(838\) | 11.3663 | + | 16.2327i | 0.392641 | + | 0.560749i | ||||
\(839\) | 17.4298 | + | 14.6253i | 0.601744 | + | 0.504923i | 0.892006 | − | 0.452024i | \(-0.149298\pi\) |
−0.290262 | + | 0.956947i | \(0.593742\pi\) | |||||||
\(840\) | 6.09440 | + | 13.6286i | 0.210277 | + | 0.470232i | ||||
\(841\) | −13.8838 | + | 5.05330i | −0.478753 | + | 0.174252i | ||||
\(842\) | −1.96021 | + | 22.4053i | −0.0675532 | + | 0.772137i | ||||
\(843\) | 6.46307 | − | 7.30369i | 0.222600 | − | 0.251552i | ||||
\(844\) | 2.29066 | + | 1.32251i | 0.0788477 | + | 0.0455227i | ||||
\(845\) | 23.5832 | − | 16.8832i | 0.811288 | − | 0.580800i | ||||
\(846\) | 6.68709 | − | 7.16814i | 0.229907 | − | 0.246446i | ||||
\(847\) | 102.686 | − | 27.5146i | 3.52833 | − | 0.945413i | ||||
\(848\) | 1.62691 | − | 6.07171i | 0.0558683 | − | 0.208503i | ||||
\(849\) | −2.61159 | − | 10.8829i | −0.0896294 | − | 0.373498i | ||||
\(850\) | 8.54747 | + | 2.91018i | 0.293176 | + | 0.0998184i | ||||
\(851\) | 20.0182 | − | 54.9995i | 0.686214 | − | 1.88536i | ||||
\(852\) | −7.31572 | − | 2.88259i | −0.250632 | − | 0.0987558i | ||||
\(853\) | −24.3457 | − | 34.7693i | −0.833582 | − | 1.19048i | −0.979552 | − | 0.201189i | \(-0.935519\pi\) |
0.145971 | − | 0.989289i | \(-0.453369\pi\) | |||||||
\(854\) | 26.3186 | 0.900605 | ||||||||
\(855\) | 29.0152 | + | 3.62192i | 0.992299 | + | 0.123867i | ||||
\(856\) | 4.43041 | 0.151428 | ||||||||
\(857\) | 24.9026 | + | 35.5646i | 0.850658 | + | 1.21487i | 0.974907 | + | 0.222614i | \(0.0714589\pi\) |
−0.124249 | + | 0.992251i | \(0.539652\pi\) | |||||||
\(858\) | 1.70943 | + | 0.673562i | 0.0583591 | + | 0.0229950i | ||||
\(859\) | 11.9361 | − | 32.7941i | 0.407253 | − | 1.11892i | −0.551375 | − | 0.834258i | \(-0.685897\pi\) |
0.958628 | − | 0.284661i | \(-0.0918811\pi\) | |||||||
\(860\) | 12.0131 | − | 0.125563i | 0.409645 | − | 0.00428167i | ||||
\(861\) | −5.61105 | − | 23.3821i | −0.191224 | − | 0.796858i | ||||
\(862\) | 6.33188 | − | 23.6309i | 0.215665 | − | 0.804872i | ||||
\(863\) | −3.86885 | + | 1.03666i | −0.131697 | + | 0.0352881i | −0.324066 | − | 0.946035i | \(-0.605050\pi\) |
0.192368 | + | 0.981323i | \(0.438383\pi\) | |||||||
\(864\) | 4.86764 | − | 1.81827i | 0.165600 | − | 0.0618586i | ||||
\(865\) | 0.402004 | − | 2.42801i | 0.0136686 | − | 0.0825547i | ||||
\(866\) | −21.2891 | − | 12.2912i | −0.723432 | − | 0.417674i | ||||
\(867\) | −15.7698 | + | 17.8209i | −0.535569 | + | 0.605229i | ||||
\(868\) | 0.668356 | − | 7.63935i | 0.0226855 | − | 0.259296i | ||||
\(869\) | −15.6011 | + | 5.67835i | −0.529233 | + | 0.192625i | ||||
\(870\) | 9.14417 | − | 23.9376i | 0.310017 | − | 0.811559i | ||||
\(871\) | 1.11883 | + | 0.938809i | 0.0379101 | + | 0.0318103i | ||||
\(872\) | 8.19161 | + | 11.6988i | 0.277403 | + | 0.396172i | ||||
\(873\) | 41.7516 | + | 5.87636i | 1.41308 | + | 0.198885i | ||||
\(874\) | 20.5740 | − | 24.7792i | 0.695926 | − | 0.838168i | ||||
\(875\) | −36.6291 | + | 22.7079i | −1.23829 | + | 0.767668i | ||||
\(876\) | −15.4425 | + | 20.8650i | −0.521754 | + | 0.704962i | ||||
\(877\) | −2.03643 | − | 23.2765i | −0.0687655 | − | 0.785993i | −0.949783 | − | 0.312909i | \(-0.898696\pi\) |
0.881018 | − | 0.473084i | \(-0.156859\pi\) | |||||||
\(878\) | 6.70084 | + | 14.3700i | 0.226143 | + | 0.484964i | ||||
\(879\) | 22.2611 | + | 2.53859i | 0.750847 | + | 0.0856246i | ||||
\(880\) | −12.6480 | − | 5.73771i | −0.426365 | − | 0.193418i | ||||
\(881\) | −39.2740 | + | 22.6749i | −1.32318 | + | 0.763936i | −0.984234 | − | 0.176872i | \(-0.943402\pi\) |
−0.338942 | + | 0.940807i | \(0.610069\pi\) | |||||||
\(882\) | −14.5186 | + | 18.5753i | −0.488868 | + | 0.625464i | ||||
\(883\) | −5.15208 | − | 3.60752i | −0.173381 | − | 0.121403i | 0.483665 | − | 0.875253i | \(-0.339305\pi\) |
−0.657046 | + | 0.753850i | \(0.728194\pi\) | |||||||
\(884\) | −0.0535563 | − | 0.303733i | −0.00180129 | − | 0.0102156i | ||||
\(885\) | −1.52162 | − | 6.06090i | −0.0511486 | − | 0.203735i | ||||
\(886\) | −17.2582 | − | 29.8920i | −0.579800 | − | 1.00424i | ||||
\(887\) | 3.83746 | − | 43.8624i | 0.128849 | − | 1.47275i | −0.606509 | − | 0.795077i | \(-0.707431\pi\) |
0.735358 | − | 0.677678i | \(-0.237014\pi\) | |||||||
\(888\) | 8.53991 | + | 10.7384i | 0.286581 | + | 0.360356i | ||||
\(889\) | 11.3062 | − | 31.0634i | 0.379196 | − | 1.04183i | ||||
\(890\) | −12.1260 | + | 7.17099i | −0.406466 | + | 0.240372i | ||||
\(891\) | −24.5254 | + | 50.2334i | −0.821633 | + | 1.68288i | ||||
\(892\) | 16.5283 | + | 16.5283i | 0.553409 | + | 0.553409i | ||||
\(893\) | 10.1238 | + | 10.0193i | 0.338779 | + | 0.335281i | ||||
\(894\) | 10.1636 | − | 20.3799i | 0.339921 | − | 0.681604i | ||||
\(895\) | 8.10120 | + | 29.0175i | 0.270793 | + | 0.969948i | ||||
\(896\) | −2.47775 | + | 2.95287i | −0.0827759 | + | 0.0986485i | ||||
\(897\) | −2.18495 | − | 0.0574344i | −0.0729534 | − | 0.00191768i | ||||
\(898\) | 11.6239 | − | 24.9275i | 0.387894 | − | 0.831842i | ||||
\(899\) | −10.0830 | + | 8.46061i | −0.336285 | + | 0.282177i | ||||
\(900\) | 7.08507 | + | 13.2213i | 0.236169 | + | 0.440709i | ||||
\(901\) | 5.67573 | − | 9.83065i | 0.189086 | − | 0.327507i | ||||
\(902\) | 18.3244 | + | 12.8309i | 0.610134 | + | 0.427221i | ||||
\(903\) | 17.1131 | + | 31.5260i | 0.569489 | + | 1.04912i | ||||
\(904\) | 12.2241 | + | 7.05757i | 0.406567 | + | 0.234731i | ||||
\(905\) | 14.8114 | + | 10.1420i | 0.492349 | + | 0.337133i | ||||
\(906\) | −2.65556 | − | 11.0661i | −0.0882250 | − | 0.367646i | ||||
\(907\) | −29.7560 | − | 13.8755i | −0.988033 | − | 0.460727i | −0.139702 | − | 0.990194i | \(-0.544614\pi\) |
−0.848331 | + | 0.529466i | \(0.822392\pi\) | |||||||
\(908\) | −6.14664 | − | 13.1815i | −0.203984 | − | 0.437444i | ||||
\(909\) | 1.05101 | − | 19.9778i | 0.0348599 | − | 0.662621i | ||||
\(910\) | 1.28248 | + | 0.722676i | 0.0425139 | + | 0.0239565i | ||||
\(911\) | 50.2090i | 1.66350i | 0.555152 | + | 0.831749i | \(0.312660\pi\) | ||||
−0.555152 | + | 0.831749i | \(0.687340\pi\) | |||||||
\(912\) | 2.43200 | + | 7.14740i | 0.0805316 | + | 0.236674i | ||||
\(913\) | −53.9168 | + | 53.9168i | −1.78438 | + | 1.78438i | ||||
\(914\) | −3.44937 | + | 19.5624i | −0.114095 | + | 0.647066i | ||||
\(915\) | 26.3760 | − | 1.88746i | 0.871964 | − | 0.0623975i | ||||
\(916\) | 0.831798 | + | 0.302750i | 0.0274834 | + | 0.0100031i | ||||
\(917\) | 0.993445 | − | 2.13045i | 0.0328064 | − | 0.0703537i | ||||
\(918\) | 9.34060 | − | 0.896559i | 0.308286 | − | 0.0295909i | ||||
\(919\) | −42.1101 | + | 24.3123i | −1.38908 | + | 0.801988i | −0.993212 | − | 0.116317i | \(-0.962891\pi\) |
−0.395872 | + | 0.918306i | \(0.629558\pi\) | |||||||
\(920\) | 16.4732 | + | 1.26788i | 0.543104 | + | 0.0418006i | ||||
\(921\) | 12.8735 | − | 43.4441i | 0.424195 | − | 1.43153i | ||||
\(922\) | −20.4826 | + | 29.2522i | −0.674559 | + | 0.963371i | ||||
\(923\) | −0.748921 | + | 0.200673i | −0.0246510 | + | 0.00660522i | ||||
\(924\) | −2.52748 | − | 41.3921i | −0.0831480 | − | 1.36170i | ||||
\(925\) | −27.4146 | + | 28.5854i | −0.901387 | + | 0.939882i | ||||
\(926\) | −2.08239 | − | 5.72131i | −0.0684315 | − | 0.188014i | ||||
\(927\) | 9.08096 | − | 17.0705i | 0.298258 | − | 0.560670i | ||||
\(928\) | 6.59108 | − | 0.576645i | 0.216363 | − | 0.0189293i | ||||
\(929\) | 4.03035 | − | 22.8572i | 0.132231 | − | 0.749921i | −0.844516 | − | 0.535530i | \(-0.820112\pi\) |
0.976748 | − | 0.214392i | \(-0.0687769\pi\) | |||||||
\(930\) | 0.121952 | − | 7.70394i | 0.00399897 | − | 0.252622i | ||||
\(931\) | −26.3550 | − | 21.8824i | −0.863751 | − | 0.717168i | ||||
\(932\) | 9.69320 | − | 9.69320i | 0.317511 | − | 0.317511i | ||||
\(933\) | −18.1926 | + | 2.71704i | −0.595600 | + | 0.0889520i | ||||
\(934\) | 13.6788 | − | 16.3017i | 0.447583 | − | 0.533408i | ||||
\(935\) | −19.3806 | − | 15.9200i | −0.633813 | − | 0.520641i | ||||
\(936\) | 0.279139 | − | 0.429647i | 0.00912394 | − | 0.0140435i | ||||
\(937\) | 25.8117 | + | 2.25823i | 0.843230 | + | 0.0737731i | 0.500580 | − | 0.865690i | \(-0.333120\pi\) |
0.342650 | + | 0.939463i | \(0.388676\pi\) | |||||||
\(938\) | 8.53179 | − | 31.8411i | 0.278573 | − | 1.03965i | ||||
\(939\) | −31.3012 | − | 47.3013i | −1.02148 | − | 1.54362i | ||||
\(940\) | −1.19353 | + | 7.20861i | −0.0389285 | + | 0.235119i | ||||
\(941\) | −8.54721 | + | 1.50710i | −0.278631 | + | 0.0491302i | −0.311217 | − | 0.950339i | \(-0.600737\pi\) |
0.0325864 | + | 0.999469i | \(0.489626\pi\) | |||||||
\(942\) | 3.02516 | − | 14.8615i | 0.0985651 | − | 0.484214i | ||||
\(943\) | −25.7044 | − | 6.88748i | −0.837052 | − | 0.224287i | ||||
\(944\) | 1.23600 | − | 1.03713i | 0.0402283 | − | 0.0337556i | ||||
\(945\) | −24.9920 | + | 37.1662i | −0.812989 | + | 1.20902i | ||||
\(946\) | −31.3585 | − | 11.4136i | −1.01955 | − | 0.371087i | ||||
\(947\) | −42.7305 | + | 3.73843i | −1.38855 | + | 0.121483i | −0.756780 | − | 0.653670i | \(-0.773229\pi\) |
−0.631774 | + | 0.775152i | \(0.717673\pi\) | |||||||
\(948\) | 0.683859 | + | 4.57895i | 0.0222107 | + | 0.148718i | ||||
\(949\) | 2.55957i | 0.0830872i | ||||||||
\(950\) | −19.5055 | + | 9.72296i | −0.632842 | + | 0.315454i | ||||
\(951\) | 14.5399 | − | 29.1553i | 0.471490 | − | 0.945425i | ||||
\(952\) | −5.70216 | + | 3.99270i | −0.184808 | + | 0.129404i | ||||
\(953\) | 0.467856 | + | 5.34762i | 0.0151553 | + | 0.173226i | 1.00000 | 0.000212580i | \(-6.76664e-5\pi\) | |
−0.984845 | + | 0.173439i | \(0.944512\pi\) | |||||||
\(954\) | 18.0348 | − | 5.50984i | 0.583899 | − | 0.178388i | ||||
\(955\) | 14.0614 | + | 13.7705i | 0.455017 | + | 0.445604i | ||||
\(956\) | 14.1042 | + | 16.8087i | 0.456161 | + | 0.543631i | ||||
\(957\) | −47.1695 | + | 53.3047i | −1.52477 | + | 1.72310i | ||||
\(958\) | −9.12563 | − | 34.0573i | −0.294836 | − | 1.10034i | ||||
\(959\) | −3.67436 | − | 20.8383i | −0.118651 | − | 0.672905i | ||||
\(960\) | −2.27139 | + | 3.13700i | −0.0733088 | + | 0.101246i | ||||
\(961\) | 13.5211 | − | 23.4193i | 0.436166 | − | 0.755462i | ||||
\(962\) | 1.30677 | + | 0.350147i | 0.0421319 | + | 0.0112892i | ||||
\(963\) | 7.04101 | + | 11.2730i | 0.226893 | + | 0.363268i | ||||
\(964\) | −2.28747 | − | 6.28476i | −0.0736743 | − | 0.202418i | ||||
\(965\) | −25.6189 | + | 31.1877i | −0.824702 | + | 1.00397i | ||||
\(966\) | 19.6664 | + | 45.2421i | 0.632757 | + | 1.45564i | ||||
\(967\) | −5.14625 | + | 3.60344i | −0.165492 | + | 0.115879i | −0.653389 | − | 0.757023i | \(-0.726653\pi\) |
0.487896 | + | 0.872902i | \(0.337764\pi\) | |||||||
\(968\) | 19.5012 | + | 19.5012i | 0.626792 | + | 0.626792i | ||||
\(969\) | 0.901574 | + | 13.6041i | 0.0289627 | + | 0.437027i | ||||
\(970\) | −28.3418 | + | 13.5784i | −0.909999 | + | 0.435976i | ||||
\(971\) | −0.906767 | − | 0.159888i | −0.0290995 | − | 0.00513104i | 0.159079 | − | 0.987266i | \(-0.449147\pi\) |
−0.188179 | + | 0.982135i | \(0.560259\pi\) | |||||||
\(972\) | 12.3624 | + | 9.49586i | 0.396524 | + | 0.304580i | ||||
\(973\) | −56.1012 | + | 26.1604i | −1.79852 | + | 0.838664i | ||||
\(974\) | 17.5674 | − | 6.39401i | 0.562896 | − | 0.204877i | ||||
\(975\) | 1.33711 | + | 0.632278i | 0.0428217 | + | 0.0202491i | ||||
\(976\) | 3.41384 | + | 5.91294i | 0.109274 | + | 0.189269i | ||||
\(977\) | −8.17534 | − | 30.5108i | −0.261552 | − | 0.976127i | −0.964327 | − | 0.264714i | \(-0.914722\pi\) |
0.702775 | − | 0.711413i | \(-0.251944\pi\) | |||||||
\(978\) | −27.3005 | + | 14.8194i | −0.872972 | + | 0.473872i | ||||
\(979\) | 38.5373 | − | 6.79517i | 1.23166 | − | 0.217175i | ||||
\(980\) | 1.34851 | − | 17.5208i | 0.0430765 | − | 0.559681i | ||||
\(981\) | −16.7487 | + | 39.4356i | −0.534746 | + | 1.25908i | ||||
\(982\) | −12.8597 | − | 1.12507i | −0.410368 | − | 0.0359026i | ||||
\(983\) | 40.5514 | + | 18.9094i | 1.29339 | + | 0.603117i | 0.942783 | − | 0.333407i | \(-0.108198\pi\) |
0.350605 | + | 0.936524i | \(0.385976\pi\) | |||||||
\(984\) | 4.52537 | − | 4.29355i | 0.144263 | − | 0.136873i | ||||
\(985\) | 7.95422 | − | 4.70390i | 0.253443 | − | 0.149879i | ||||
\(986\) | 11.7665 | + | 2.07476i | 0.374722 | + | 0.0660737i | ||||
\(987\) | −20.6900 | + | 6.92048i | −0.658571 | + | 0.220281i | ||||
\(988\) | 0.612022 | + | 0.423826i | 0.0194710 | + | 0.0134837i | ||||
\(989\) | 39.6981 | 1.26233 | ||||||||
\(990\) | −5.50146 | − | 41.3011i | −0.174848 | − | 1.31264i | ||||
\(991\) | −15.3076 | − | 12.8446i | −0.486262 | − | 0.408022i | 0.366422 | − | 0.930449i | \(-0.380583\pi\) |
−0.852684 | + | 0.522426i | \(0.825027\pi\) | |||||||
\(992\) | 1.80301 | − | 0.840756i | 0.0572455 | − | 0.0266940i | ||||
\(993\) | −18.4025 | + | 14.6350i | −0.583985 | + | 0.464427i | ||||
\(994\) | 11.2485 | + | 13.4054i | 0.356780 | + | 0.425194i | ||||
\(995\) | 12.7618 | − | 18.6373i | 0.404576 | − | 0.590842i | ||||
\(996\) | 11.7341 | + | 17.7321i | 0.371808 | + | 0.561863i | ||||
\(997\) | −4.22162 | + | 6.02910i | −0.133700 | + | 0.190944i | −0.880420 | − | 0.474196i | \(-0.842739\pi\) |
0.746719 | + | 0.665139i | \(0.231628\pi\) | |||||||
\(998\) | 5.85310 | − | 8.35909i | 0.185276 | − | 0.264602i | ||||
\(999\) | −13.7513 | + | 38.7954i | −0.435073 | + | 1.22743i |
(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.17.3 | ✓ | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.17.24 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.473.13 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.473.28 | yes | 480 | |
19.9 | even | 9 | inner | 570.2.bi.a.47.28 | yes | 480 | |
57.47 | odd | 18 | inner | 570.2.bi.a.47.13 | yes | 480 | |
95.28 | odd | 36 | inner | 570.2.bi.a.503.24 | yes | 480 | |
285.218 | even | 36 | inner | 570.2.bi.a.503.3 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.3 | ✓ | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.17.24 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.47.13 | yes | 480 | 57.47 | odd | 18 | inner | |
570.2.bi.a.47.28 | yes | 480 | 19.9 | even | 9 | inner | |
570.2.bi.a.473.13 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.473.28 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.503.3 | yes | 480 | 285.218 | even | 36 | inner | |
570.2.bi.a.503.24 | yes | 480 | 95.28 | odd | 36 | inner |