Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(95,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bn (of order \(30\), degree \(8\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.9 | ||
Character | \(\chi\) | \(=\) | 572.95 |
Dual form | 572.2.bn.a.283.9 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33917 | + | 0.454570i | −0.946934 | + | 0.321429i | ||||
\(3\) | 0.706415 | − | 0.636059i | 0.407849 | − | 0.367229i | −0.439520 | − | 0.898233i | \(-0.644852\pi\) |
0.847370 | + | 0.531004i | \(0.178185\pi\) | |||||||
\(4\) | 1.58673 | − | 1.21749i | 0.793366 | − | 0.608745i | ||||
\(5\) | −0.839770 | − | 1.15584i | −0.375557 | − | 0.516909i | 0.578844 | − | 0.815438i | \(-0.303504\pi\) |
−0.954401 | + | 0.298529i | \(0.903504\pi\) | |||||||
\(6\) | −0.656874 | + | 1.17290i | −0.268168 | + | 0.478836i | ||||
\(7\) | 0.861552 | + | 0.775745i | 0.325636 | + | 0.293204i | 0.815691 | − | 0.578487i | \(-0.196357\pi\) |
−0.490055 | + | 0.871691i | \(0.663023\pi\) | |||||||
\(8\) | −1.57146 | + | 2.35170i | −0.555597 | + | 0.831452i | ||||
\(9\) | −0.219134 | + | 2.08492i | −0.0730447 | + | 0.694974i | ||||
\(10\) | 1.65000 | + | 1.16613i | 0.521777 | + | 0.368764i | ||||
\(11\) | −2.62942 | + | 2.02142i | −0.792800 | + | 0.609481i | ||||
\(12\) | 0.346497 | − | 1.86931i | 0.100025 | − | 0.539623i | ||||
\(13\) | −1.41645 | + | 3.31567i | −0.392852 | + | 0.919601i | ||||
\(14\) | −1.50639 | − | 0.647216i | −0.402600 | − | 0.172976i | ||||
\(15\) | −1.32841 | − | 0.282363i | −0.342995 | − | 0.0729057i | ||||
\(16\) | 1.03544 | − | 3.86366i | 0.258860 | − | 0.965915i | ||||
\(17\) | −0.681844 | + | 1.53145i | −0.165372 | + | 0.371431i | −0.977155 | − | 0.212528i | \(-0.931830\pi\) |
0.811783 | + | 0.583959i | \(0.198497\pi\) | |||||||
\(18\) | −0.654286 | − | 2.89167i | −0.154217 | − | 0.681573i | ||||
\(19\) | 1.30502 | + | 6.13963i | 0.299392 | + | 1.40853i | 0.828508 | + | 0.559977i | \(0.189190\pi\) |
−0.529116 | + | 0.848549i | \(0.677476\pi\) | |||||||
\(20\) | −2.73972 | − | 0.811605i | −0.612620 | − | 0.181480i | ||||
\(21\) | 1.10203 | 0.240483 | ||||||||
\(22\) | 2.60236 | − | 3.90227i | 0.554824 | − | 0.831968i | ||||
\(23\) | 1.00197 | + | 0.578490i | 0.208926 | + | 0.120624i | 0.600812 | − | 0.799390i | \(-0.294844\pi\) |
−0.391886 | + | 0.920014i | \(0.628177\pi\) | |||||||
\(24\) | 0.385714 | + | 2.66082i | 0.0787336 | + | 0.543138i | ||||
\(25\) | 0.914322 | − | 2.81399i | 0.182864 | − | 0.562799i | ||||
\(26\) | 0.389658 | − | 5.08411i | 0.0764182 | − | 0.997076i | ||||
\(27\) | 2.84754 | + | 3.91930i | 0.548009 | + | 0.754269i | ||||
\(28\) | 2.31151 | + | 0.181969i | 0.436835 | + | 0.0343890i | ||||
\(29\) | 0.672351 | − | 3.16316i | 0.124852 | − | 0.587384i | −0.870589 | − | 0.492011i | \(-0.836262\pi\) |
0.995442 | − | 0.0953737i | \(-0.0304046\pi\) | |||||||
\(30\) | 1.90732 | − | 0.225726i | 0.348227 | − | 0.0412117i | ||||
\(31\) | 7.08329 | + | 5.14631i | 1.27220 | + | 0.924304i | 0.999288 | − | 0.0377359i | \(-0.0120146\pi\) |
0.272908 | + | 0.962040i | \(0.412015\pi\) | |||||||
\(32\) | 0.369677 | + | 5.64476i | 0.0653502 | + | 0.997862i | ||||
\(33\) | −0.571720 | + | 3.10043i | −0.0995237 | + | 0.539716i | ||||
\(34\) | 0.216953 | − | 2.36081i | 0.0372071 | − | 0.404875i | ||||
\(35\) | 0.173135 | − | 1.64727i | 0.0292651 | − | 0.278439i | ||||
\(36\) | 2.19066 | + | 3.57501i | 0.365110 | + | 0.595834i | ||||
\(37\) | 0.524772 | − | 2.46886i | 0.0862720 | − | 0.405878i | −0.913728 | − | 0.406327i | \(-0.866810\pi\) |
1.00000 | 0.000448769i | \(0.000142848\pi\) | ||||||||
\(38\) | −4.53852 | − | 7.62876i | −0.736246 | − | 1.23755i | ||||
\(39\) | 1.10836 | + | 3.24319i | 0.177480 | + | 0.519325i | ||||
\(40\) | 4.03787 | − | 0.158520i | 0.638443 | − | 0.0250642i | ||||
\(41\) | −0.199247 | − | 0.221286i | −0.0311171 | − | 0.0345590i | 0.727385 | − | 0.686229i | \(-0.240735\pi\) |
−0.758502 | + | 0.651670i | \(0.774069\pi\) | |||||||
\(42\) | −1.47581 | + | 0.500951i | −0.227722 | + | 0.0772984i | ||||
\(43\) | 0.431242 | + | 0.746932i | 0.0657637 | + | 0.113906i | 0.897033 | − | 0.441965i | \(-0.145718\pi\) |
−0.831269 | + | 0.555871i | \(0.812385\pi\) | |||||||
\(44\) | −1.71113 | + | 6.40875i | −0.257963 | + | 0.966155i | ||||
\(45\) | 2.59387 | − | 1.49757i | 0.386671 | − | 0.223245i | ||||
\(46\) | −1.60477 | − | 0.319227i | −0.236611 | − | 0.0470675i | ||||
\(47\) | −0.0701001 | + | 0.215746i | −0.0102251 | + | 0.0314698i | −0.956039 | − | 0.293240i | \(-0.905267\pi\) |
0.945814 | + | 0.324710i | \(0.105267\pi\) | |||||||
\(48\) | −1.72607 | − | 3.38795i | −0.249136 | − | 0.489008i | ||||
\(49\) | −0.591208 | − | 5.62496i | −0.0844582 | − | 0.803566i | ||||
\(50\) | 0.0547276 | + | 4.18403i | 0.00773965 | + | 0.591711i | ||||
\(51\) | 0.492426 | + | 1.51553i | 0.0689534 | + | 0.212217i | ||||
\(52\) | 1.78927 | + | 6.98559i | 0.248127 | + | 0.968728i | ||||
\(53\) | −0.899858 | − | 0.653785i | −0.123605 | − | 0.0898043i | 0.524265 | − | 0.851555i | \(-0.324340\pi\) |
−0.647870 | + | 0.761751i | \(0.724340\pi\) | |||||||
\(54\) | −5.59492 | − | 3.95419i | −0.761372 | − | 0.538097i | ||||
\(55\) | 4.54456 | + | 1.34167i | 0.612788 | + | 0.180911i | ||||
\(56\) | −3.17822 | + | 0.807057i | −0.424707 | + | 0.107848i | ||||
\(57\) | 4.82705 | + | 3.50706i | 0.639358 | + | 0.464521i | ||||
\(58\) | 0.537489 | + | 4.54163i | 0.0705757 | + | 0.596345i | ||||
\(59\) | −3.29984 | + | 3.66484i | −0.429603 | + | 0.477122i | −0.918614 | − | 0.395155i | \(-0.870691\pi\) |
0.489012 | + | 0.872277i | \(0.337357\pi\) | |||||||
\(60\) | −2.45161 | + | 1.16929i | −0.316501 | + | 0.150955i | ||||
\(61\) | −1.71346 | + | 3.84849i | −0.219386 | + | 0.492749i | −0.989389 | − | 0.145291i | \(-0.953588\pi\) |
0.770003 | + | 0.638040i | \(0.220255\pi\) | |||||||
\(62\) | −11.8251 | − | 3.67191i | −1.50178 | − | 0.466334i | ||||
\(63\) | −1.80616 | + | 1.62628i | −0.227555 | + | 0.204892i | ||||
\(64\) | −3.06100 | − | 7.39123i | −0.382625 | − | 0.923904i | ||||
\(65\) | 5.02189 | − | 1.14721i | 0.622889 | − | 0.142293i | ||||
\(66\) | −0.643734 | − | 4.41188i | −0.0792381 | − | 0.543065i | ||||
\(67\) | −7.30118 | + | 12.6460i | −0.891981 | + | 1.54496i | −0.0544829 | + | 0.998515i | \(0.517351\pi\) |
−0.837498 | + | 0.546441i | \(0.815982\pi\) | |||||||
\(68\) | 0.782616 | + | 3.26014i | 0.0949061 | + | 0.395349i | ||||
\(69\) | 1.07576 | − | 0.228661i | 0.129507 | − | 0.0275275i | ||||
\(70\) | 0.516942 | + | 2.28467i | 0.0617864 | + | 0.273070i | ||||
\(71\) | −7.58312 | − | 3.37622i | −0.899950 | − | 0.400684i | −0.0960008 | − | 0.995381i | \(-0.530605\pi\) |
−0.803949 | + | 0.594698i | \(0.797272\pi\) | |||||||
\(72\) | −4.55875 | − | 3.79172i | −0.537254 | − | 0.446858i | ||||
\(73\) | −1.24865 | − | 3.84296i | −0.146144 | − | 0.449784i | 0.851013 | − | 0.525145i | \(-0.175989\pi\) |
−0.997156 | + | 0.0753612i | \(0.975989\pi\) | |||||||
\(74\) | 0.419512 | + | 3.54476i | 0.0487672 | + | 0.412070i | ||||
\(75\) | −1.14398 | − | 2.56941i | −0.132095 | − | 0.296690i | ||||
\(76\) | 9.54564 | + | 8.15310i | 1.09496 | + | 0.935225i | ||||
\(77\) | −3.83349 | − | 0.298201i | −0.436867 | − | 0.0339832i | ||||
\(78\) | −2.95853 | − | 3.83934i | −0.334988 | − | 0.434719i | ||||
\(79\) | 12.6540 | + | 9.19365i | 1.42368 | + | 1.03437i | 0.991150 | + | 0.132748i | \(0.0423802\pi\) |
0.432533 | + | 0.901618i | \(0.357620\pi\) | |||||||
\(80\) | −5.33532 | + | 2.04778i | −0.596507 | + | 0.228949i | ||||
\(81\) | −1.64733 | − | 0.350152i | −0.183037 | − | 0.0389058i | ||||
\(82\) | 0.367414 | + | 0.205767i | 0.0405741 | + | 0.0227232i | ||||
\(83\) | 2.98142 | + | 4.10357i | 0.327253 | + | 0.450426i | 0.940664 | − | 0.339338i | \(-0.110203\pi\) |
−0.613411 | + | 0.789764i | \(0.710203\pi\) | |||||||
\(84\) | 1.74863 | − | 1.34171i | 0.190791 | − | 0.146393i | ||||
\(85\) | 2.34271 | − | 0.497958i | 0.254102 | − | 0.0540111i | ||||
\(86\) | −0.917037 | − | 0.804237i | −0.0988866 | − | 0.0867231i | ||||
\(87\) | −1.53700 | − | 2.66216i | −0.164784 | − | 0.285414i | ||||
\(88\) | −0.621734 | − | 9.36021i | −0.0662771 | − | 0.997801i | ||||
\(89\) | −0.656438 | − | 0.378995i | −0.0695823 | − | 0.0401734i | 0.464805 | − | 0.885413i | \(-0.346124\pi\) |
−0.534388 | + | 0.845240i | \(0.679458\pi\) | |||||||
\(90\) | −2.79287 | + | 3.18459i | −0.294394 | + | 0.335685i | ||||
\(91\) | −3.79246 | + | 1.75782i | −0.397558 | + | 0.184269i | ||||
\(92\) | 2.29417 | − | 0.301984i | 0.239184 | − | 0.0314840i | ||||
\(93\) | 8.27710 | − | 0.869958i | 0.858295 | − | 0.0902104i | ||||
\(94\) | −0.00419590 | − | 0.320785i | −0.000432774 | − | 0.0330864i | ||||
\(95\) | 6.00054 | − | 6.66427i | 0.615642 | − | 0.683740i | ||||
\(96\) | 3.85155 | + | 3.75241i | 0.393097 | + | 0.382979i | ||||
\(97\) | −4.64060 | − | 0.487747i | −0.471181 | − | 0.0495232i | −0.134037 | − | 0.990976i | \(-0.542794\pi\) |
−0.337144 | + | 0.941453i | \(0.609461\pi\) | |||||||
\(98\) | 3.34866 | + | 7.26402i | 0.338266 | + | 0.733777i | ||||
\(99\) | −3.63831 | − | 5.92510i | −0.365664 | − | 0.595495i | ||||
\(100\) | −1.97522 | − | 5.57823i | −0.197522 | − | 0.557823i | ||||
\(101\) | 7.33629 | + | 16.4776i | 0.729988 | + | 1.63958i | 0.768119 | + | 0.640307i | \(0.221193\pi\) |
−0.0381308 | + | 0.999273i | \(0.512140\pi\) | |||||||
\(102\) | −1.34836 | − | 1.80571i | −0.133507 | − | 0.178792i | ||||
\(103\) | 7.99374 | − | 2.59732i | 0.787646 | − | 0.255922i | 0.112545 | − | 0.993647i | \(-0.464100\pi\) |
0.675101 | + | 0.737725i | \(0.264100\pi\) | |||||||
\(104\) | −5.57157 | − | 8.54153i | −0.546337 | − | 0.837566i | ||||
\(105\) | −0.925455 | − | 1.27378i | −0.0903151 | − | 0.124308i | ||||
\(106\) | 1.50225 | + | 0.466479i | 0.145911 | + | 0.0453084i | ||||
\(107\) | −6.49181 | − | 7.20989i | −0.627587 | − | 0.697006i | 0.342567 | − | 0.939493i | \(-0.388704\pi\) |
−0.970155 | + | 0.242487i | \(0.922037\pi\) | |||||||
\(108\) | 9.28998 | + | 2.75203i | 0.893929 | + | 0.264814i | ||||
\(109\) | −2.10315 | −0.201445 | −0.100722 | − | 0.994915i | \(-0.532115\pi\) | ||||
−0.100722 | + | 0.994915i | \(0.532115\pi\) | |||||||
\(110\) | −6.69580 | + | 0.269095i | −0.638420 | + | 0.0256572i | ||||
\(111\) | −1.19963 | − | 2.07783i | −0.113864 | − | 0.197218i | ||||
\(112\) | 3.88930 | − | 2.52551i | 0.367504 | − | 0.238638i | ||||
\(113\) | −10.8141 | + | 2.29861i | −1.01731 | + | 0.216235i | −0.686243 | − | 0.727373i | \(-0.740741\pi\) |
−0.331065 | + | 0.943608i | \(0.607408\pi\) | |||||||
\(114\) | −8.05842 | − | 2.50230i | −0.754741 | − | 0.234362i | ||||
\(115\) | −0.172784 | − | 1.64393i | −0.0161122 | − | 0.153297i | ||||
\(116\) | −2.78427 | − | 5.83767i | −0.258513 | − | 0.542014i | ||||
\(117\) | −6.60252 | − | 3.67976i | −0.610403 | − | 0.340194i | ||||
\(118\) | 2.75311 | − | 6.40784i | 0.253444 | − | 0.589890i | ||||
\(119\) | −1.77546 | + | 0.790484i | −0.162756 | + | 0.0724636i | ||||
\(120\) | 2.75159 | − | 2.68031i | 0.251184 | − | 0.244677i | ||||
\(121\) | 2.82772 | − | 10.6303i | 0.257065 | − | 0.966394i | ||||
\(122\) | 0.545198 | − | 5.93266i | 0.0493599 | − | 0.537118i | ||||
\(123\) | −0.281502 | − | 0.0295870i | −0.0253822 | − | 0.00266777i | ||||
\(124\) | 17.5049 | − | 0.458009i | 1.57198 | − | 0.0411304i | ||||
\(125\) | −10.8142 | + | 3.51376i | −0.967256 | + | 0.314280i | ||||
\(126\) | 1.67950 | − | 2.99888i | 0.149621 | − | 0.267162i | ||||
\(127\) | −1.89863 | − | 18.0643i | −0.168476 | − | 1.60294i | −0.673064 | − | 0.739584i | \(-0.735022\pi\) |
0.504588 | − | 0.863360i | \(-0.331645\pi\) | |||||||
\(128\) | 7.45901 | + | 8.50665i | 0.659290 | + | 0.751889i | ||||
\(129\) | 0.779729 | + | 0.253349i | 0.0686513 | + | 0.0223062i | ||||
\(130\) | −6.20366 | + | 3.81910i | −0.544097 | + | 0.334957i | ||||
\(131\) | 12.0667 | 1.05428 | 0.527138 | − | 0.849780i | \(-0.323265\pi\) | ||||
0.527138 | + | 0.849780i | \(0.323265\pi\) | |||||||
\(132\) | 2.86757 | + | 5.61562i | 0.249590 | + | 0.488777i | ||||
\(133\) | −3.63844 | + | 6.30197i | −0.315493 | + | 0.546450i | ||||
\(134\) | 4.02899 | − | 20.2540i | 0.348052 | − | 1.74968i | ||||
\(135\) | 2.13882 | − | 6.58262i | 0.184081 | − | 0.566542i | ||||
\(136\) | −2.53001 | − | 4.01011i | −0.216947 | − | 0.343864i | ||||
\(137\) | 8.12427 | − | 18.2474i | 0.694103 | − | 1.55898i | −0.129352 | − | 0.991599i | \(-0.541290\pi\) |
0.823455 | − | 0.567382i | \(-0.192044\pi\) | |||||||
\(138\) | −1.33668 | + | 0.795225i | −0.113786 | + | 0.0676940i | ||||
\(139\) | −1.04659 | + | 1.16235i | −0.0887702 | + | 0.0985893i | −0.785893 | − | 0.618362i | \(-0.787796\pi\) |
0.697123 | + | 0.716952i | \(0.254463\pi\) | |||||||
\(140\) | −1.73081 | − | 2.82456i | −0.146280 | − | 0.238719i | ||||
\(141\) | 0.0877074 | + | 0.196994i | 0.00738629 | + | 0.0165899i | ||||
\(142\) | 11.6898 | + | 1.07426i | 0.980985 | + | 0.0901503i | ||||
\(143\) | −2.97792 | − | 11.5815i | −0.249026 | − | 0.968497i | ||||
\(144\) | 7.82853 | + | 3.00547i | 0.652377 | + | 0.250456i | ||||
\(145\) | −4.22074 | + | 1.87920i | −0.350514 | + | 0.156059i | ||||
\(146\) | 3.41905 | + | 4.57876i | 0.282962 | + | 0.378941i | ||||
\(147\) | −3.99545 | − | 3.59752i | −0.329539 | − | 0.296718i | ||||
\(148\) | −2.17314 | − | 4.55632i | −0.178631 | − | 0.374527i | ||||
\(149\) | 8.19953 | + | 3.65066i | 0.671731 | + | 0.299074i | 0.714116 | − | 0.700027i | \(-0.246829\pi\) |
−0.0423848 | + | 0.999101i | \(0.513496\pi\) | |||||||
\(150\) | 2.69995 | + | 2.92085i | 0.220450 | + | 0.238487i | ||||
\(151\) | −5.35569 | − | 1.74017i | −0.435840 | − | 0.141613i | 0.0828754 | − | 0.996560i | \(-0.473590\pi\) |
−0.518716 | + | 0.854947i | \(0.673590\pi\) | |||||||
\(152\) | −16.4894 | − | 6.57919i | −1.33746 | − | 0.533643i | ||||
\(153\) | −3.04353 | − | 1.75718i | −0.246055 | − | 0.142060i | ||||
\(154\) | 5.26923 | − | 1.34325i | 0.424607 | − | 0.108242i | ||||
\(155\) | − | 12.5089i | − | 1.00474i | ||||||
\(156\) | 5.70722 | + | 3.79665i | 0.456943 | + | 0.303975i | ||||
\(157\) | −2.30644 | + | 7.09848i | −0.184074 | + | 0.566520i | −0.999931 | − | 0.0117325i | \(-0.996265\pi\) |
0.815858 | + | 0.578253i | \(0.196265\pi\) | |||||||
\(158\) | −21.1249 | − | 6.55971i | −1.68061 | − | 0.521863i | ||||
\(159\) | −1.05152 | + | 0.110519i | −0.0833909 | + | 0.00876474i | ||||
\(160\) | 6.21403 | − | 5.16759i | 0.491262 | − | 0.408534i | ||||
\(161\) | 0.414492 | + | 1.27568i | 0.0326666 | + | 0.100537i | ||||
\(162\) | 2.36522 | − | 0.279917i | 0.185829 | − | 0.0219924i | ||||
\(163\) | 0.0651348 | − | 0.619717i | 0.00510175 | − | 0.0485400i | −0.991675 | − | 0.128767i | \(-0.958898\pi\) |
0.996777 | + | 0.0802274i | \(0.0255646\pi\) | |||||||
\(164\) | −0.585564 | − | 0.108541i | −0.0457249 | − | 0.00847561i | ||||
\(165\) | 4.06373 | − | 1.94283i | 0.316361 | − | 0.151249i | ||||
\(166\) | −5.85798 | − | 4.14010i | −0.454667 | − | 0.321334i | ||||
\(167\) | −2.95527 | − | 6.63764i | −0.228685 | − | 0.513636i | 0.762361 | − | 0.647152i | \(-0.224040\pi\) |
−0.991047 | + | 0.133516i | \(0.957373\pi\) | |||||||
\(168\) | −1.73181 | + | 2.59165i | −0.133612 | + | 0.199950i | ||||
\(169\) | −8.98734 | − | 9.39296i | −0.691334 | − | 0.722535i | ||||
\(170\) | −2.91092 | + | 1.73177i | −0.223257 | + | 0.132821i | ||||
\(171\) | −13.0866 | + | 1.37546i | −1.00076 | + | 0.105184i | ||||
\(172\) | 1.59365 | + | 0.660150i | 0.121514 | + | 0.0503360i | ||||
\(173\) | −1.19652 | − | 5.62919i | −0.0909698 | − | 0.427979i | −0.999938 | − | 0.0111143i | \(-0.996462\pi\) |
0.908968 | − | 0.416865i | \(-0.136871\pi\) | |||||||
\(174\) | 3.26844 | + | 2.86640i | 0.247780 | + | 0.217301i | ||||
\(175\) | 2.97068 | − | 1.71512i | 0.224562 | − | 0.129651i | ||||
\(176\) | 5.08747 | + | 12.2522i | 0.383483 | + | 0.923548i | ||||
\(177\) | 4.68779i | 0.352356i | ||||||||
\(178\) | 1.05136 | + | 0.209140i | 0.0788027 | + | 0.0156757i | ||||
\(179\) | 0.559601 | − | 0.503867i | 0.0418265 | − | 0.0376608i | −0.647952 | − | 0.761681i | \(-0.724374\pi\) |
0.689779 | + | 0.724020i | \(0.257708\pi\) | |||||||
\(180\) | 2.29250 | − | 5.53425i | 0.170873 | − | 0.412499i | ||||
\(181\) | 16.6351 | − | 12.0861i | 1.23647 | − | 0.898351i | 0.239116 | − | 0.970991i | \(-0.423142\pi\) |
0.997358 | + | 0.0726399i | \(0.0231424\pi\) | |||||||
\(182\) | 4.27968 | − | 4.07795i | 0.317231 | − | 0.302278i | ||||
\(183\) | 1.23746 | + | 3.80850i | 0.0914754 | + | 0.281532i | ||||
\(184\) | −2.93500 | + | 1.44727i | −0.216371 | + | 0.106694i | ||||
\(185\) | −3.29431 | + | 1.46672i | −0.242202 | + | 0.107835i | ||||
\(186\) | −10.6890 | + | 4.92754i | −0.783752 | + | 0.361305i | ||||
\(187\) | −1.30284 | − | 5.40512i | −0.0952733 | − | 0.395261i | ||||
\(188\) | 0.151438 | + | 0.427677i | 0.0110448 | + | 0.0311916i | ||||
\(189\) | −0.587074 | + | 5.58564i | −0.0427034 | + | 0.406296i | ||||
\(190\) | −5.00634 | + | 11.6522i | −0.363198 | + | 0.845342i | ||||
\(191\) | 7.95042 | + | 7.15859i | 0.575272 | + | 0.517977i | 0.904613 | − | 0.426234i | \(-0.140160\pi\) |
−0.329341 | + | 0.944211i | \(0.606827\pi\) | |||||||
\(192\) | −6.86360 | − | 3.27430i | −0.495337 | − | 0.236302i | ||||
\(193\) | 1.86177 | + | 17.7136i | 0.134013 | + | 1.27505i | 0.830312 | + | 0.557299i | \(0.188162\pi\) |
−0.696298 | + | 0.717752i | \(0.745171\pi\) | |||||||
\(194\) | 6.43625 | − | 1.45630i | 0.462096 | − | 0.104556i | ||||
\(195\) | 2.81785 | − | 4.00462i | 0.201791 | − | 0.286777i | ||||
\(196\) | −7.78642 | − | 8.20553i | −0.556173 | − | 0.586109i | ||||
\(197\) | 0.548923 | − | 0.950762i | 0.0391091 | − | 0.0677390i | −0.845808 | − | 0.533487i | \(-0.820881\pi\) |
0.884917 | + | 0.465748i | \(0.154215\pi\) | |||||||
\(198\) | 7.56567 | + | 6.28083i | 0.537669 | + | 0.446359i | ||||
\(199\) | 20.6498 | − | 11.9221i | 1.46382 | − | 0.845139i | 0.464638 | − | 0.885501i | \(-0.346184\pi\) |
0.999185 | + | 0.0403619i | \(0.0128511\pi\) | |||||||
\(200\) | 5.18085 | + | 6.57231i | 0.366341 | + | 0.464732i | ||||
\(201\) | 2.88595 | + | 13.5773i | 0.203559 | + | 0.957670i | ||||
\(202\) | −17.3147 | − | 18.7314i | −1.21826 | − | 1.31793i | ||||
\(203\) | 3.03307 | − | 2.20366i | 0.212880 | − | 0.154666i | ||||
\(204\) | 2.62649 | + | 1.80522i | 0.183891 | + | 0.126391i | ||||
\(205\) | −0.0884506 | + | 0.416127i | −0.00617766 | + | 0.0290636i | ||||
\(206\) | −9.52428 | + | 7.11196i | −0.663588 | + | 0.495514i | ||||
\(207\) | −1.42567 | + | 1.96227i | −0.0990912 | + | 0.136387i | ||||
\(208\) | 11.3440 | + | 8.90586i | 0.786563 | + | 0.617510i | ||||
\(209\) | −15.8422 | − | 13.5057i | −1.09583 | − | 0.934207i | ||||
\(210\) | 1.81836 | + | 1.28512i | 0.125479 | + | 0.0886816i | ||||
\(211\) | −23.5446 | + | 10.4827i | −1.62087 | + | 0.721659i | −0.998151 | − | 0.0607831i | \(-0.980640\pi\) |
−0.622723 | + | 0.782443i | \(0.713974\pi\) | |||||||
\(212\) | −2.22381 | + | 0.0581853i | −0.152732 | + | 0.00399618i | ||||
\(213\) | −7.50430 | + | 2.43830i | −0.514187 | + | 0.167069i | ||||
\(214\) | 11.9710 | + | 6.70426i | 0.818322 | + | 0.458294i | ||||
\(215\) | 0.501194 | − | 1.12570i | 0.0341811 | − | 0.0767721i | ||||
\(216\) | −13.6918 | + | 0.537517i | −0.931611 | + | 0.0365734i | ||||
\(217\) | 2.11040 | + | 9.92863i | 0.143263 | + | 0.674000i | ||||
\(218\) | 2.81646 | − | 0.956027i | 0.190755 | − | 0.0647503i | ||||
\(219\) | −3.32642 | − | 1.92051i | −0.224778 | − | 0.129776i | ||||
\(220\) | 8.84447 | − | 3.40407i | 0.596294 | − | 0.229503i | ||||
\(221\) | −4.11198 | − | 4.42999i | −0.276601 | − | 0.297993i | ||||
\(222\) | 2.55103 | + | 2.23724i | 0.171214 | + | 0.150154i | ||||
\(223\) | 10.7963 | + | 11.9905i | 0.722974 | + | 0.802944i | 0.986854 | − | 0.161611i | \(-0.0516691\pi\) |
−0.263881 | + | 0.964555i | \(0.585002\pi\) | |||||||
\(224\) | −4.06040 | + | 5.15003i | −0.271297 | + | 0.344101i | ||||
\(225\) | 5.66660 | + | 2.52293i | 0.377773 | + | 0.168195i | ||||
\(226\) | 13.4370 | − | 7.99400i | 0.893818 | − | 0.531753i | ||||
\(227\) | −14.9537 | − | 13.4644i | −0.992513 | − | 0.893663i | 0.00181699 | − | 0.999998i | \(-0.499422\pi\) |
−0.994330 | + | 0.106335i | \(0.966088\pi\) | |||||||
\(228\) | 11.9290 | − | 0.312120i | 0.790020 | − | 0.0206706i | ||||
\(229\) | 5.17718 | − | 7.12578i | 0.342118 | − | 0.470885i | −0.602941 | − | 0.797786i | \(-0.706004\pi\) |
0.945059 | + | 0.326901i | \(0.106004\pi\) | |||||||
\(230\) | 0.978665 | + | 2.12295i | 0.0645313 | + | 0.139983i | ||||
\(231\) | −2.89771 | + | 2.22767i | −0.190655 | + | 0.146570i | ||||
\(232\) | 6.38224 | + | 6.55197i | 0.419014 | + | 0.430158i | ||||
\(233\) | −11.0428 | + | 15.1992i | −0.723441 | + | 0.995730i | 0.275962 | + | 0.961169i | \(0.411004\pi\) |
−0.999403 | + | 0.0345619i | \(0.988996\pi\) | |||||||
\(234\) | 10.5146 | + | 1.92651i | 0.687360 | + | 0.125940i | ||||
\(235\) | 0.308237 | − | 0.100152i | 0.0201071 | − | 0.00653321i | ||||
\(236\) | −0.774056 | + | 9.83264i | −0.0503867 | + | 0.640051i | ||||
\(237\) | 14.7867 | − | 1.55414i | 0.960497 | − | 0.100952i | ||||
\(238\) | 2.01830 | − | 1.86566i | 0.130827 | − | 0.120933i | ||||
\(239\) | 20.5063 | + | 6.66290i | 1.32644 | + | 0.430987i | 0.884702 | − | 0.466157i | \(-0.154362\pi\) |
0.441739 | + | 0.897143i | \(0.354362\pi\) | |||||||
\(240\) | −2.46644 | + | 4.84016i | −0.159208 | + | 0.312431i | ||||
\(241\) | 2.61858 | + | 4.53551i | 0.168677 | + | 0.292158i | 0.937955 | − | 0.346757i | \(-0.112717\pi\) |
−0.769278 | + | 0.638915i | \(0.779384\pi\) | |||||||
\(242\) | 1.04545 | + | 15.5212i | 0.0672039 | + | 0.997739i | ||||
\(243\) | −13.9728 | + | 8.06723i | −0.896359 | + | 0.517513i | ||||
\(244\) | 1.96670 | + | 8.19265i | 0.125905 | + | 0.524481i | ||||
\(245\) | −6.00511 | + | 5.40702i | −0.383652 | + | 0.345442i | ||||
\(246\) | 0.390427 | − | 0.0883403i | 0.0248927 | − | 0.00563237i | ||||
\(247\) | −22.2055 | − | 4.36946i | −1.41290 | − | 0.278022i | ||||
\(248\) | −23.2337 | + | 8.57053i | −1.47534 | + | 0.544229i | ||||
\(249\) | 4.71624 | + | 1.00247i | 0.298879 | + | 0.0635288i | ||||
\(250\) | 12.8848 | − | 9.62134i | 0.814908 | − | 0.608507i | ||||
\(251\) | 17.2985 | + | 1.81815i | 1.09187 | + | 0.114761i | 0.633308 | − | 0.773900i | \(-0.281696\pi\) |
0.458566 | + | 0.888660i | \(0.348363\pi\) | |||||||
\(252\) | −0.885923 | + | 4.77945i | −0.0558079 | + | 0.301077i | ||||
\(253\) | −3.80399 | + | 0.504317i | −0.239155 | + | 0.0317062i | ||||
\(254\) | 10.7541 | + | 23.3280i | 0.674769 | + | 1.46373i | ||||
\(255\) | 1.33819 | − | 1.84187i | 0.0838010 | − | 0.115342i | ||||
\(256\) | −13.8557 | − | 8.00118i | −0.865983 | − | 0.500073i | ||||
\(257\) | −10.6800 | − | 2.27010i | −0.666199 | − | 0.141605i | −0.137615 | − | 0.990486i | \(-0.543944\pi\) |
−0.528584 | + | 0.848881i | \(0.677277\pi\) | |||||||
\(258\) | −1.15935 | + | 0.0151644i | −0.0721781 | + | 0.000944097i | ||||
\(259\) | 2.36732 | − | 1.71996i | 0.147098 | − | 0.106873i | ||||
\(260\) | 6.57169 | − | 7.93441i | 0.407559 | − | 0.492071i | ||||
\(261\) | 6.44761 | + | 2.09496i | 0.399097 | + | 0.129675i | ||||
\(262\) | −16.1594 | + | 5.48517i | −0.998329 | + | 0.338875i | ||||
\(263\) | −10.1079 | + | 17.5075i | −0.623283 | + | 1.07956i | 0.365587 | + | 0.930777i | \(0.380868\pi\) |
−0.988870 | + | 0.148780i | \(0.952465\pi\) | |||||||
\(264\) | −6.39285 | − | 6.21673i | −0.393453 | − | 0.382613i | ||||
\(265\) | 1.58913i | 0.0976192i | ||||||||
\(266\) | 2.00779 | − | 10.0933i | 0.123106 | − | 0.618860i | ||||
\(267\) | −0.704781 | + | 0.149806i | −0.0431319 | + | 0.00916797i | ||||
\(268\) | 3.81136 | + | 28.9549i | 0.232816 | + | 1.76870i | ||||
\(269\) | 16.8824 | + | 7.51651i | 1.02934 | + | 0.458290i | 0.850714 | − | 0.525628i | \(-0.176170\pi\) |
0.178621 | + | 0.983918i | \(0.442836\pi\) | |||||||
\(270\) | 0.128021 | + | 9.78747i | 0.00779112 | + | 0.595646i | ||||
\(271\) | 0.534945 | − | 2.51672i | 0.0324956 | − | 0.152880i | −0.958908 | − | 0.283716i | \(-0.908433\pi\) |
0.991404 | + | 0.130836i | \(0.0417661\pi\) | |||||||
\(272\) | 5.21098 | + | 4.22014i | 0.315962 | + | 0.255883i | ||||
\(273\) | −1.56097 | + | 3.65398i | −0.0944745 | + | 0.221149i | ||||
\(274\) | −2.58502 | + | 28.1293i | −0.156167 | + | 1.69936i | ||||
\(275\) | 3.28413 | + | 9.24741i | 0.198040 | + | 0.557640i | ||||
\(276\) | 1.42856 | − | 1.67255i | 0.0859891 | − | 0.100676i | ||||
\(277\) | −12.7960 | − | 1.34492i | −0.768840 | − | 0.0808083i | −0.288016 | − | 0.957626i | \(-0.592996\pi\) |
−0.480824 | + | 0.876817i | \(0.659662\pi\) | |||||||
\(278\) | 0.873182 | − | 2.03233i | 0.0523700 | − | 0.121891i | ||||
\(279\) | −12.2818 | + | 13.6404i | −0.735294 | + | 0.816627i | ||||
\(280\) | 3.60181 | + | 2.99578i | 0.215249 | + | 0.179032i | ||||
\(281\) | 12.9954 | − | 9.44169i | 0.775239 | − | 0.563244i | −0.128307 | − | 0.991734i | \(-0.540954\pi\) |
0.903546 | + | 0.428490i | \(0.140954\pi\) | |||||||
\(282\) | −0.207002 | − | 0.223939i | −0.0123268 | − | 0.0133353i | ||||
\(283\) | −13.0431 | − | 14.4859i | −0.775334 | − | 0.861096i | 0.218050 | − | 0.975938i | \(-0.430030\pi\) |
−0.993384 | + | 0.114842i | \(0.963364\pi\) | |||||||
\(284\) | −16.1429 | + | 3.87520i | −0.957904 | + | 0.229951i | ||||
\(285\) | − | 8.52444i | − | 0.504944i | ||||||
\(286\) | 9.25255 | + | 14.1559i | 0.547115 | + | 0.837058i | ||||
\(287\) | − | 0.345214i | − | 0.0203773i | ||||||
\(288\) | −11.8499 | − | 0.466213i | −0.698262 | − | 0.0274719i | ||||
\(289\) | 9.49480 | + | 10.5450i | 0.558518 | + | 0.620297i | ||||
\(290\) | 4.79805 | − | 4.43518i | 0.281751 | − | 0.260443i | ||||
\(291\) | −3.58843 | + | 2.60714i | −0.210357 | + | 0.152833i | ||||
\(292\) | −6.66004 | − | 4.57752i | −0.389749 | − | 0.267879i | ||||
\(293\) | 11.5537 | − | 12.8317i | 0.674977 | − | 0.749638i | −0.304208 | − | 0.952606i | \(-0.598392\pi\) |
0.979185 | + | 0.202967i | \(0.0650586\pi\) | |||||||
\(294\) | 6.98589 | + | 3.00146i | 0.407426 | + | 0.175049i | ||||
\(295\) | 7.00710 | + | 0.736476i | 0.407969 | + | 0.0428793i | ||||
\(296\) | 4.98136 | + | 5.11383i | 0.289535 | + | 0.297235i | ||||
\(297\) | −15.4099 | − | 4.54942i | −0.894175 | − | 0.263984i | ||||
\(298\) | −12.6400 | − | 1.16159i | −0.732216 | − | 0.0672890i | ||||
\(299\) | −3.33733 | + | 2.50282i | −0.193003 | + | 0.144742i | ||||
\(300\) | −4.94341 | − | 2.68419i | −0.285408 | − | 0.154972i | ||||
\(301\) | −0.207892 | + | 0.978054i | −0.0119827 | + | 0.0563741i | ||||
\(302\) | 7.96319 | − | 0.104159i | 0.458230 | − | 0.00599370i | ||||
\(303\) | 15.6632 | + | 6.97370i | 0.899826 | + | 0.400628i | ||||
\(304\) | 25.0727 | + | 1.31507i | 1.43802 | + | 0.0754245i | ||||
\(305\) | 5.88717 | − | 1.25136i | 0.337099 | − | 0.0716525i | ||||
\(306\) | 4.87456 | + | 0.969664i | 0.278660 | + | 0.0554320i | ||||
\(307\) | − | 14.8529i | − | 0.847699i | −0.905733 | − | 0.423850i | \(-0.860678\pi\) | ||
0.905733 | − | 0.423850i | \(-0.139322\pi\) | |||||||
\(308\) | −6.44578 | + | 4.19407i | −0.367282 | + | 0.238979i | ||||
\(309\) | 3.99485 | − | 6.91928i | 0.227259 | − | 0.393624i | ||||
\(310\) | 5.68617 | + | 16.7515i | 0.322953 | + | 0.951421i | ||||
\(311\) | −25.2841 | − | 8.21531i | −1.43373 | − | 0.465847i | −0.513794 | − | 0.857914i | \(-0.671760\pi\) |
−0.919937 | + | 0.392066i | \(0.871760\pi\) | |||||||
\(312\) | −9.36875 | − | 2.49002i | −0.530401 | − | 0.140970i | ||||
\(313\) | 24.9753 | − | 18.1456i | 1.41169 | − | 1.02565i | 0.418611 | − | 0.908166i | \(-0.362517\pi\) |
0.993075 | − | 0.117484i | \(-0.0374830\pi\) | |||||||
\(314\) | −0.138054 | − | 10.5545i | −0.00779083 | − | 0.595624i | ||||
\(315\) | 3.39648 | + | 0.721945i | 0.191370 | + | 0.0406770i | ||||
\(316\) | 31.2716 | − | 0.818213i | 1.75917 | − | 0.0460281i | ||||
\(317\) | 0.695343 | − | 0.957058i | 0.0390544 | − | 0.0537537i | −0.789043 | − | 0.614338i | \(-0.789423\pi\) |
0.828098 | + | 0.560584i | \(0.189423\pi\) | |||||||
\(318\) | 1.35792 | − | 0.625993i | 0.0761484 | − | 0.0351039i | ||||
\(319\) | 4.62619 | + | 9.67639i | 0.259017 | + | 0.541774i | ||||
\(320\) | −5.97258 | + | 9.74497i | −0.333877 | + | 0.544761i | ||||
\(321\) | −9.17183 | − | 0.963999i | −0.511922 | − | 0.0538052i | ||||
\(322\) | −1.13496 | − | 1.51993i | −0.0632487 | − | 0.0847022i | ||||
\(323\) | −10.2923 | − | 2.18770i | −0.572681 | − | 0.121727i | ||||
\(324\) | −3.04019 | + | 1.45001i | −0.168899 | + | 0.0805564i | ||||
\(325\) | 8.03519 | + | 7.01747i | 0.445712 | + | 0.389259i | ||||
\(326\) | 0.194478 | + | 0.859512i | 0.0107711 | + | 0.0476040i | ||||
\(327\) | −1.48569 | + | 1.33773i | −0.0821591 | + | 0.0739764i | ||||
\(328\) | 0.833507 | − | 0.120826i | 0.0460227 | − | 0.00667148i | ||||
\(329\) | −0.227759 | + | 0.131496i | −0.0125567 | + | 0.00724964i | ||||
\(330\) | −4.55886 | + | 4.44902i | −0.250957 | + | 0.244911i | ||||
\(331\) | −4.56783 | − | 7.91171i | −0.251071 | − | 0.434867i | 0.712750 | − | 0.701418i | \(-0.247449\pi\) |
−0.963821 | + | 0.266551i | \(0.914116\pi\) | |||||||
\(332\) | 9.72677 | + | 2.88143i | 0.533826 | + | 0.158139i | ||||
\(333\) | 5.03238 | + | 1.63512i | 0.275773 | + | 0.0896040i | ||||
\(334\) | 6.97487 | + | 7.54553i | 0.381648 | + | 0.412873i | ||||
\(335\) | 20.7481 | − | 2.18072i | 1.13359 | − | 0.119145i | ||||
\(336\) | 1.14109 | − | 4.25788i | 0.0622515 | − | 0.232286i | ||||
\(337\) | −21.3459 | + | 6.93572i | −1.16279 | + | 0.377812i | −0.825946 | − | 0.563749i | \(-0.809359\pi\) |
−0.336841 | + | 0.941562i | \(0.609359\pi\) | |||||||
\(338\) | 16.3053 | + | 8.49336i | 0.886891 | + | 0.461978i | ||||
\(339\) | −6.17721 | + | 8.50220i | −0.335500 | + | 0.461776i | ||||
\(340\) | 3.11099 | − | 3.64235i | 0.168717 | − | 0.197534i | ||||
\(341\) | −29.0278 | + | 0.786487i | −1.57194 | + | 0.0425906i | ||||
\(342\) | 16.8999 | − | 7.79075i | 0.913842 | − | 0.421275i | ||||
\(343\) | 8.62425 | − | 11.8703i | 0.465666 | − | 0.640934i | ||||
\(344\) | −2.43424 | − | 0.159626i | −0.131246 | − | 0.00860648i | ||||
\(345\) | −1.16769 | − | 1.05139i | −0.0628664 | − | 0.0566051i | ||||
\(346\) | 4.16120 | + | 6.99452i | 0.223707 | + | 0.376028i | ||||
\(347\) | −8.80891 | − | 3.92198i | −0.472887 | − | 0.210543i | 0.156434 | − | 0.987688i | \(-0.450000\pi\) |
−0.629321 | + | 0.777146i | \(0.716667\pi\) | |||||||
\(348\) | −5.67996 | − | 2.35286i | −0.304478 | − | 0.126126i | ||||
\(349\) | −15.6720 | − | 17.4055i | −0.838901 | − | 0.931693i | 0.159558 | − | 0.987188i | \(-0.448993\pi\) |
−0.998459 | + | 0.0554950i | \(0.982326\pi\) | |||||||
\(350\) | −3.19859 | + | 3.64721i | −0.170972 | + | 0.194952i | ||||
\(351\) | −17.0285 | + | 3.89000i | −0.908914 | + | 0.207633i | ||||
\(352\) | −12.3825 | − | 14.0952i | −0.659988 | − | 0.751276i | ||||
\(353\) | −13.9770 | − | 8.06960i | −0.743918 | − | 0.429501i | 0.0795740 | − | 0.996829i | \(-0.474644\pi\) |
−0.823492 | + | 0.567328i | \(0.807977\pi\) | |||||||
\(354\) | −2.13093 | − | 6.27774i | −0.113258 | − | 0.333658i | ||||
\(355\) | 2.46569 | + | 11.6002i | 0.130865 | + | 0.615672i | ||||
\(356\) | −1.50301 | + | 0.197843i | −0.0796596 | + | 0.0104857i | ||||
\(357\) | −0.751415 | + | 1.68771i | −0.0397691 | + | 0.0893229i | ||||
\(358\) | −0.520356 | + | 0.929139i | −0.0275017 | + | 0.0491065i | ||||
\(359\) | 26.7754 | − | 8.69986i | 1.41315 | − | 0.459161i | 0.499733 | − | 0.866180i | \(-0.333432\pi\) |
0.913420 | + | 0.407019i | \(0.133432\pi\) | |||||||
\(360\) | −0.554334 | + | 8.45338i | −0.0292160 | + | 0.445532i | ||||
\(361\) | −18.6346 | + | 8.29664i | −0.980767 | + | 0.436665i | ||||
\(362\) | −16.7831 | + | 23.7471i | −0.882102 | + | 1.24812i | ||||
\(363\) | −4.76398 | − | 9.30803i | −0.250044 | − | 0.488545i | ||||
\(364\) | −3.87749 | + | 7.40647i | −0.203236 | + | 0.388204i | ||||
\(365\) | −3.39328 | + | 4.67045i | −0.177612 | + | 0.244463i | ||||
\(366\) | −3.38839 | − | 4.53770i | −0.177114 | − | 0.237189i | ||||
\(367\) | 0.0552344 | − | 0.259857i | 0.00288321 | − | 0.0135644i | −0.976682 | − | 0.214689i | \(-0.931126\pi\) |
0.979566 | + | 0.201124i | \(0.0644596\pi\) | |||||||
\(368\) | 3.27257 | − | 3.27230i | 0.170595 | − | 0.170580i | ||||
\(369\) | 0.505025 | − | 0.366922i | 0.0262906 | − | 0.0191012i | ||||
\(370\) | 3.74490 | − | 3.46167i | 0.194688 | − | 0.179964i | ||||
\(371\) | −0.268104 | − | 1.26133i | −0.0139193 | − | 0.0654850i | ||||
\(372\) | 12.0744 | − | 11.4577i | 0.626027 | − | 0.594052i | ||||
\(373\) | 28.8355 | − | 16.6482i | 1.49304 | − | 0.862010i | 0.493076 | − | 0.869986i | \(-0.335872\pi\) |
0.999968 | + | 0.00797649i | \(0.00253902\pi\) | |||||||
\(374\) | 4.20173 | + | 6.64611i | 0.217266 | + | 0.343662i | ||||
\(375\) | −5.40439 | + | 9.36068i | −0.279081 | + | 0.483383i | ||||
\(376\) | −0.397210 | − | 0.503892i | −0.0204845 | − | 0.0259862i | ||||
\(377\) | 9.53565 | + | 6.70975i | 0.491111 | + | 0.345570i | ||||
\(378\) | −1.75287 | − | 7.74697i | −0.0901581 | − | 0.398461i | ||||
\(379\) | 1.73561 | + | 16.5132i | 0.0891522 | + | 0.848226i | 0.944133 | + | 0.329566i | \(0.106902\pi\) |
−0.854980 | + | 0.518660i | \(0.826431\pi\) | |||||||
\(380\) | 1.40757 | − | 17.8800i | 0.0722068 | − | 0.917225i | ||||
\(381\) | −12.8312 | − | 11.5532i | −0.657361 | − | 0.591890i | ||||
\(382\) | −13.9010 | − | 5.97252i | −0.711238 | − | 0.305581i | ||||
\(383\) | 2.12354 | − | 20.2042i | 0.108508 | − | 1.03238i | −0.795816 | − | 0.605538i | \(-0.792958\pi\) |
0.904324 | − | 0.426846i | \(-0.140376\pi\) | |||||||
\(384\) | 10.6799 | + | 1.26485i | 0.545006 | + | 0.0645468i | ||||
\(385\) | 2.87458 | + | 4.68134i | 0.146502 | + | 0.238583i | ||||
\(386\) | −10.5453 | − | 22.8751i | −0.536741 | − | 1.16431i | ||||
\(387\) | −1.65180 | + | 0.735427i | −0.0839655 | + | 0.0373838i | ||||
\(388\) | −7.95722 | + | 4.87596i | −0.403966 | + | 0.247539i | ||||
\(389\) | 10.3205 | + | 31.7632i | 0.523269 | + | 1.61046i | 0.767714 | + | 0.640793i | \(0.221394\pi\) |
−0.244445 | + | 0.969663i | \(0.578606\pi\) | |||||||
\(390\) | −1.95319 | + | 6.64377i | −0.0989036 | + | 0.336420i | ||||
\(391\) | −1.56912 | + | 1.14003i | −0.0793537 | + | 0.0576539i | ||||
\(392\) | 14.1573 | + | 7.44909i | 0.715052 | + | 0.376236i | ||||
\(393\) | 8.52413 | − | 7.67516i | 0.429985 | − | 0.387160i | ||||
\(394\) | −0.302911 | + | 1.52275i | −0.0152604 | + | 0.0767152i | ||||
\(395\) | − | 22.3466i | − | 1.12438i | ||||||
\(396\) | −12.9868 | − | 4.97195i | −0.652610 | − | 0.249850i | ||||
\(397\) | −16.1460 | + | 9.32191i | −0.810346 | + | 0.467853i | −0.847076 | − | 0.531472i | \(-0.821639\pi\) |
0.0367303 | + | 0.999325i | \(0.488306\pi\) | |||||||
\(398\) | −22.2340 | + | 25.3525i | −1.11449 | + | 1.27081i | ||||
\(399\) | 1.43817 | + | 6.76607i | 0.0719987 | + | 0.338727i | ||||
\(400\) | −9.92559 | − | 6.44635i | −0.496279 | − | 0.322318i | ||||
\(401\) | 30.0410 | − | 3.15743i | 1.50017 | − | 0.157675i | 0.681451 | − | 0.731864i | \(-0.261349\pi\) |
0.818723 | + | 0.574189i | \(0.194683\pi\) | |||||||
\(402\) | −10.0366 | − | 16.8704i | −0.500580 | − | 0.841420i | ||||
\(403\) | −27.0966 | + | 16.1964i | −1.34978 | + | 0.806798i | ||||
\(404\) | 31.7020 | + | 17.2137i | 1.57723 | + | 0.856411i | ||||
\(405\) | 0.978662 | + | 2.19811i | 0.0486301 | + | 0.109225i | ||||
\(406\) | −3.06007 | + | 4.32980i | −0.151869 | + | 0.214885i | ||||
\(407\) | 3.61076 | + | 7.55246i | 0.178978 | + | 0.374361i | ||||
\(408\) | −4.33791 | − | 1.22357i | −0.214758 | − | 0.0605755i | ||||
\(409\) | 3.07199 | − | 29.2281i | 0.151900 | − | 1.44523i | −0.607349 | − | 0.794435i | \(-0.707767\pi\) |
0.759250 | − | 0.650800i | \(-0.225566\pi\) | |||||||
\(410\) | −0.0707089 | − | 0.597471i | −0.00349206 | − | 0.0295070i | ||||
\(411\) | −5.86732 | − | 18.0578i | −0.289414 | − | 0.890723i | ||||
\(412\) | 9.52171 | − | 13.8535i | 0.469101 | − | 0.682515i | ||||
\(413\) | −5.68597 | + | 0.597619i | −0.279788 | + | 0.0294069i | ||||
\(414\) | 1.01722 | − | 3.27588i | 0.0499939 | − | 0.161001i | ||||
\(415\) | 2.23938 | − | 6.89212i | 0.109927 | − | 0.338321i | ||||
\(416\) | −19.2398 | − | 6.76980i | −0.943309 | − | 0.331917i | ||||
\(417\) | 1.48679i | 0.0728085i | ||||||||
\(418\) | 27.3546 | + | 10.8850i | 1.33796 | + | 0.532400i | ||||
\(419\) | 9.87573 | + | 5.70176i | 0.482461 | + | 0.278549i | 0.721442 | − | 0.692475i | \(-0.243480\pi\) |
−0.238980 | + | 0.971024i | \(0.576813\pi\) | |||||||
\(420\) | −3.01926 | − | 0.894416i | −0.147325 | − | 0.0436430i | ||||
\(421\) | 9.80537 | + | 3.18596i | 0.477885 | + | 0.155274i | 0.538048 | − | 0.842914i | \(-0.319162\pi\) |
−0.0601630 | + | 0.998189i | \(0.519162\pi\) | |||||||
\(422\) | 26.7649 | − | 24.7407i | 1.30290 | − | 1.20436i | ||||
\(423\) | −0.434452 | − | 0.193430i | −0.0211238 | − | 0.00940491i | ||||
\(424\) | 2.95160 | − | 1.08880i | 0.143343 | − | 0.0528767i | ||||
\(425\) | 3.68606 | + | 3.31894i | 0.178800 | + | 0.160992i | ||||
\(426\) | 8.94114 | − | 6.67652i | 0.433199 | − | 0.323478i | ||||
\(427\) | −4.46168 | + | 1.98647i | −0.215916 | + | 0.0961320i | ||||
\(428\) | −19.0787 | − | 3.53645i | −0.922206 | − | 0.170941i | ||||
\(429\) | −9.47019 | − | 6.28724i | −0.457225 | − | 0.303551i | ||||
\(430\) | −0.159473 | + | 1.73533i | −0.00769046 | + | 0.0836849i | ||||
\(431\) | 5.35899 | + | 12.0365i | 0.258134 | + | 0.579778i | 0.995398 | − | 0.0958267i | \(-0.0305495\pi\) |
−0.737264 | + | 0.675604i | \(0.763883\pi\) | |||||||
\(432\) | 18.0913 | − | 6.94371i | 0.870417 | − | 0.334080i | ||||
\(433\) | 7.08910 | − | 7.87324i | 0.340680 | − | 0.378364i | −0.548321 | − | 0.836268i | \(-0.684733\pi\) |
0.889002 | + | 0.457904i | \(0.151400\pi\) | |||||||
\(434\) | −7.33943 | − | 12.3368i | −0.352304 | − | 0.592184i | ||||
\(435\) | −1.78632 | + | 4.01214i | −0.0856474 | + | 0.192367i | ||||
\(436\) | −3.33713 | + | 2.56056i | −0.159820 | + | 0.122628i | ||||
\(437\) | −2.24412 | + | 6.90669i | −0.107351 | + | 0.330392i | ||||
\(438\) | 5.32763 | + | 1.05979i | 0.254564 | + | 0.0506387i | ||||
\(439\) | 11.2444 | − | 19.4759i | 0.536668 | − | 0.929536i | −0.462413 | − | 0.886665i | \(-0.653016\pi\) |
0.999081 | − | 0.0428709i | \(-0.0136504\pi\) | |||||||
\(440\) | −10.2968 | + | 8.57905i | −0.490882 | + | 0.408990i | ||||
\(441\) | 11.8572 | 0.564627 | ||||||||
\(442\) | 7.52036 | + | 4.06331i | 0.357707 | + | 0.193272i | ||||
\(443\) | 36.0543 | + | 11.7147i | 1.71299 | + | 0.556584i | 0.990827 | − | 0.135137i | \(-0.0431476\pi\) |
0.722164 | + | 0.691722i | \(0.243148\pi\) | |||||||
\(444\) | −4.43323 | − | 1.83641i | −0.210392 | − | 0.0871523i | ||||
\(445\) | 0.113198 | + | 1.07701i | 0.00536611 | + | 0.0510551i | ||||
\(446\) | −19.9086 | − | 11.1496i | −0.942698 | − | 0.527949i | ||||
\(447\) | 8.11431 | − | 2.63650i | 0.383794 | − | 0.124702i | ||||
\(448\) | 3.09650 | − | 8.74248i | 0.146296 | − | 0.413043i | ||||
\(449\) | 17.9586 | + | 1.88753i | 0.847521 | + | 0.0890780i | 0.518325 | − | 0.855184i | \(-0.326556\pi\) |
0.329196 | + | 0.944262i | \(0.393222\pi\) | |||||||
\(450\) | −8.73537 | − | 0.802761i | −0.411789 | − | 0.0378425i | ||||
\(451\) | 0.971215 | + | 0.179092i | 0.0457327 | + | 0.00843313i | ||||
\(452\) | −14.3606 | + | 16.8134i | −0.675465 | + | 0.790834i | ||||
\(453\) | −4.89020 | + | 2.17726i | −0.229761 | + | 0.102296i | ||||
\(454\) | 26.1460 | + | 11.2335i | 1.22709 | + | 0.527217i | ||||
\(455\) | 5.21656 | + | 2.90733i | 0.244556 | + | 0.136298i | ||||
\(456\) | −15.8331 | + | 5.84056i | −0.741452 | + | 0.273509i | ||||
\(457\) | 3.22704 | + | 30.7033i | 0.150955 | + | 1.43624i | 0.763503 | + | 0.645805i | \(0.223478\pi\) |
−0.612548 | + | 0.790433i | \(0.709855\pi\) | |||||||
\(458\) | −3.69394 | + | 11.8960i | −0.172607 | + | 0.555863i | ||||
\(459\) | −7.94378 | + | 1.68850i | −0.370784 | + | 0.0788125i | ||||
\(460\) | −2.27562 | − | 2.39811i | −0.106101 | − | 0.111812i | ||||
\(461\) | −12.4524 | − | 21.5681i | −0.579965 | − | 1.00453i | −0.995483 | − | 0.0949436i | \(-0.969733\pi\) |
0.415518 | − | 0.909585i | \(-0.363600\pi\) | |||||||
\(462\) | 2.86788 | − | 4.30044i | 0.133426 | − | 0.200074i | ||||
\(463\) | 9.64634 | 0.448304 | 0.224152 | − | 0.974554i | \(-0.428039\pi\) | ||||
0.224152 | + | 0.974554i | \(0.428039\pi\) | |||||||
\(464\) | −11.5252 | − | 5.87300i | −0.535044 | − | 0.272647i | ||||
\(465\) | −7.95640 | − | 8.83648i | −0.368969 | − | 0.409782i | ||||
\(466\) | 7.87912 | − | 25.3740i | 0.364993 | − | 1.17543i | ||||
\(467\) | −17.7302 | − | 24.4035i | −0.820454 | − | 1.12926i | −0.989625 | − | 0.143671i | \(-0.954109\pi\) |
0.169171 | − | 0.985587i | \(-0.445891\pi\) | |||||||
\(468\) | −14.9565 | + | 2.19970i | −0.691365 | + | 0.101681i | ||||
\(469\) | −16.1004 | + | 5.23134i | −0.743448 | + | 0.241561i | ||||
\(470\) | −0.367254 | + | 0.274236i | −0.0169402 | + | 0.0126495i | ||||
\(471\) | 2.88575 | + | 6.48151i | 0.132968 | + | 0.298652i | ||||
\(472\) | −3.43303 | − | 13.5194i | −0.158018 | − | 0.622281i | ||||
\(473\) | −2.64378 | − | 1.09228i | −0.121561 | − | 0.0502231i | ||||
\(474\) | −19.0953 | + | 8.80283i | −0.877078 | + | 0.404327i | ||||
\(475\) | 18.4701 | + | 1.94128i | 0.847465 | + | 0.0890722i | ||||
\(476\) | −1.85477 | + | 3.41589i | −0.0850132 | + | 0.156567i | ||||
\(477\) | 1.56028 | − | 1.73287i | 0.0714403 | − | 0.0793425i | ||||
\(478\) | −30.4901 | + | 0.398814i | −1.39458 | + | 0.0182413i | ||||
\(479\) | 5.21801 | − | 0.548435i | 0.238417 | − | 0.0250586i | 0.0154336 | − | 0.999881i | \(-0.495087\pi\) |
0.222983 | + | 0.974822i | \(0.428420\pi\) | |||||||
\(480\) | 1.10279 | − | 7.60295i | 0.0503351 | − | 0.347026i | ||||
\(481\) | 7.44261 | + | 5.23699i | 0.339354 | + | 0.238786i | ||||
\(482\) | −5.56842 | − | 4.88348i | −0.253635 | − | 0.222436i | ||||
\(483\) | 1.10421 | + | 0.637515i | 0.0502433 | + | 0.0290080i | ||||
\(484\) | −8.45549 | − | 20.3102i | −0.384340 | − | 0.923191i | ||||
\(485\) | 3.33328 | + | 5.77341i | 0.151356 | + | 0.262157i | ||||
\(486\) | 15.0448 | − | 17.1550i | 0.682448 | − | 0.778166i | ||||
\(487\) | 3.71540 | − | 0.789733i | 0.168361 | − | 0.0357862i | −0.122960 | − | 0.992412i | \(-0.539239\pi\) |
0.291321 | + | 0.956625i | \(0.405905\pi\) | |||||||
\(488\) | −6.35787 | − | 10.0773i | −0.287807 | − | 0.456179i | ||||
\(489\) | −0.348164 | − | 0.479207i | −0.0157445 | − | 0.0216705i | ||||
\(490\) | 5.58397 | − | 9.97064i | 0.252258 | − | 0.450428i | ||||
\(491\) | 2.52056 | + | 0.535761i | 0.113751 | + | 0.0241785i | 0.264435 | − | 0.964403i | \(-0.414814\pi\) |
−0.150684 | + | 0.988582i | \(0.548148\pi\) | |||||||
\(492\) | −0.482690 | + | 0.295779i | −0.0217613 | + | 0.0133347i | ||||
\(493\) | 4.38578 | + | 3.18645i | 0.197526 | + | 0.143511i | ||||
\(494\) | 31.7230 | − | 4.24250i | 1.42729 | − | 0.190879i | ||||
\(495\) | −3.79315 | + | 9.18104i | −0.170490 | + | 0.412657i | ||||
\(496\) | 27.2179 | − | 22.0387i | 1.22212 | − | 0.989567i | ||||
\(497\) | −3.91416 | − | 8.79135i | −0.175574 | − | 0.394346i | ||||
\(498\) | −6.77151 | + | 0.801389i | −0.303439 | + | 0.0359111i | ||||
\(499\) | 0.678957 | + | 2.08962i | 0.0303943 | + | 0.0935441i | 0.965103 | − | 0.261871i | \(-0.0843395\pi\) |
−0.934709 | + | 0.355415i | \(0.884340\pi\) | |||||||
\(500\) | −12.8813 | + | 18.7416i | −0.576071 | + | 0.838151i | ||||
\(501\) | −6.30958 | − | 2.80920i | −0.281891 | − | 0.125506i | ||||
\(502\) | −23.9921 | + | 5.42859i | −1.07082 | + | 0.242290i | ||||
\(503\) | 24.1966 | − | 5.14315i | 1.07887 | − | 0.229322i | 0.366001 | − | 0.930615i | \(-0.380727\pi\) |
0.712873 | + | 0.701293i | \(0.247393\pi\) | |||||||
\(504\) | −0.986195 | − | 6.80319i | −0.0439286 | − | 0.303038i | ||||
\(505\) | 12.8847 | − | 22.3170i | 0.573363 | − | 0.993093i | ||||
\(506\) | 4.86492 | − | 2.40454i | 0.216272 | − | 0.106895i | ||||
\(507\) | −12.3233 | − | 0.918851i | −0.547296 | − | 0.0408076i | ||||
\(508\) | −25.0057 | − | 26.3516i | −1.10945 | − | 1.16916i | ||||
\(509\) | 4.56635 | − | 4.11156i | 0.202400 | − | 0.182242i | −0.561697 | − | 0.827343i | \(-0.689851\pi\) |
0.764097 | + | 0.645101i | \(0.223185\pi\) | |||||||
\(510\) | −0.954808 | + | 3.07487i | −0.0422796 | + | 0.136157i | ||||
\(511\) | 1.90538 | − | 4.27954i | 0.0842888 | − | 0.189316i | ||||
\(512\) | 22.1922 | + | 4.41651i | 0.980767 | + | 0.195184i | ||||
\(513\) | −20.3469 | + | 22.5976i | −0.898339 | + | 0.997707i | ||||
\(514\) | 15.3342 | − | 1.81476i | 0.676362 | − | 0.0800455i | ||||
\(515\) | −9.71500 | − | 7.05836i | −0.428094 | − | 0.311029i | ||||
\(516\) | 1.54567 | − | 0.547314i | 0.0680444 | − | 0.0240942i | ||||
\(517\) | −0.251791 | − | 0.708989i | −0.0110737 | − | 0.0311813i | ||||
\(518\) | −2.38840 | + | 3.37943i | −0.104940 | + | 0.148483i | ||||
\(519\) | −4.42574 | − | 3.21549i | −0.194268 | − | 0.141144i | ||||
\(520\) | −5.19384 | + | 13.6128i | −0.227765 | + | 0.596960i | ||||
\(521\) | 9.26890 | + | 28.5267i | 0.406078 | + | 1.24978i | 0.919992 | + | 0.391937i | \(0.128195\pi\) |
−0.513914 | + | 0.857842i | \(0.671805\pi\) | |||||||
\(522\) | −9.58673 | + | 0.125395i | −0.419600 | + | 0.00548841i | ||||
\(523\) | −0.808949 | − | 7.69664i | −0.0353729 | − | 0.336550i | −0.997869 | − | 0.0652539i | \(-0.979214\pi\) |
0.962496 | − | 0.271297i | \(-0.0874524\pi\) | |||||||
\(524\) | 19.1467 | − | 14.6911i | 0.836427 | − | 0.641784i | ||||
\(525\) | 1.00761 | − | 3.10111i | 0.0439758 | − | 0.135344i | ||||
\(526\) | 5.57785 | − | 28.0402i | 0.243206 | − | 1.22261i | ||||
\(527\) | −12.7110 | + | 7.33870i | −0.553700 | + | 0.319679i | ||||
\(528\) | 11.3870 | + | 5.41924i | 0.495557 | + | 0.235842i | ||||
\(529\) | −10.8307 | − | 18.7593i | −0.470900 | − | 0.815623i | ||||
\(530\) | −0.722369 | − | 2.12810i | −0.0313777 | − | 0.0924389i | ||||
\(531\) | −6.91780 | − | 7.68300i | −0.300207 | − | 0.333414i | ||||
\(532\) | 1.89934 | + | 14.4293i | 0.0823469 | + | 0.625589i | ||||
\(533\) | 1.01593 | − | 0.347196i | 0.0440050 | − | 0.0150387i | ||||
\(534\) | 0.875722 | − | 0.520987i | 0.0378962 | − | 0.0225453i | ||||
\(535\) | −2.88188 | + | 13.5582i | −0.124595 | + | 0.586171i | ||||
\(536\) | −18.2661 | − | 37.0429i | −0.788975 | − | 1.60001i | ||||
\(537\) | 0.0748215 | − | 0.711879i | 0.00322878 | − | 0.0307198i | ||||
\(538\) | −26.0251 | − | 2.39165i | −1.12202 | − | 0.103111i | ||||
\(539\) | 12.9250 | + | 13.5953i | 0.556717 | + | 0.585592i | ||||
\(540\) | −4.62053 | − | 13.0489i | −0.198836 | − | 0.561533i | ||||
\(541\) | −23.2983 | − | 16.9272i | −1.00167 | − | 0.727756i | −0.0392247 | − | 0.999230i | \(-0.512489\pi\) |
−0.962446 | + | 0.271474i | \(0.912489\pi\) | |||||||
\(542\) | 0.427644 | + | 3.61348i | 0.0183689 | + | 0.155212i | ||||
\(543\) | 4.06380 | − | 19.1187i | 0.174394 | − | 0.820461i | ||||
\(544\) | −8.89672 | − | 3.28271i | −0.381444 | − | 0.140745i | ||||
\(545\) | 1.76616 | + | 2.43091i | 0.0756540 | + | 0.104129i | ||||
\(546\) | 0.429416 | − | 5.60286i | 0.0183773 | − | 0.239780i | ||||
\(547\) | −8.44826 | + | 26.0011i | −0.361221 | + | 1.11172i | 0.591092 | + | 0.806604i | \(0.298697\pi\) |
−0.952314 | + | 0.305121i | \(0.901303\pi\) | |||||||
\(548\) | −9.32498 | − | 38.8449i | −0.398343 | − | 1.65937i | ||||
\(549\) | −7.64833 | − | 4.41577i | −0.326423 | − | 0.188460i | ||||
\(550\) | −8.60159 | − | 10.8910i | −0.366773 | − | 0.464392i | ||||
\(551\) | 20.2981 | 0.864727 | ||||||||
\(552\) | −1.15278 | + | 2.88921i | −0.0490657 | + | 0.122973i | ||||
\(553\) | 3.77013 | + | 17.7371i | 0.160322 | + | 0.754256i | ||||
\(554\) | 17.7474 | − | 4.01563i | 0.754014 | − | 0.170608i | ||||
\(555\) | −1.39423 | + | 3.13149i | −0.0591817 | + | 0.132924i | ||||
\(556\) | −0.245501 | + | 3.11855i | −0.0104116 | + | 0.132256i | ||||
\(557\) | 0.700934 | + | 0.148988i | 0.0296995 | + | 0.00631283i | 0.222737 | − | 0.974878i | \(-0.428501\pi\) |
−0.193038 | + | 0.981191i | \(0.561834\pi\) | |||||||
\(558\) | 10.2469 | − | 23.8497i | 0.433787 | − | 1.00964i | ||||
\(559\) | −3.08741 | + | 0.371863i | −0.130584 | + | 0.0157281i | ||||
\(560\) | −6.18521 | − | 2.37458i | −0.261373 | − | 0.100344i | ||||
\(561\) | −4.35832 | − | 2.98957i | −0.184008 | − | 0.126220i | ||||
\(562\) | −13.1111 | + | 18.5513i | −0.553057 | + | 0.782539i | ||||
\(563\) | −2.20923 | + | 21.0194i | −0.0931078 | + | 0.885861i | 0.843888 | + | 0.536520i | \(0.180261\pi\) |
−0.936996 | + | 0.349341i | \(0.886405\pi\) | |||||||
\(564\) | 0.379006 | + | 0.205794i | 0.0159590 | + | 0.00866549i | ||||
\(565\) | 11.7382 | + | 10.5691i | 0.493831 | + | 0.444647i | ||||
\(566\) | 24.0518 | + | 13.4700i | 1.01097 | + | 0.566185i | ||||
\(567\) | −1.14764 | − | 1.57958i | −0.0481962 | − | 0.0663363i | ||||
\(568\) | 19.8565 | − | 12.5276i | 0.833159 | − | 0.525647i | ||||
\(569\) | 14.8793 | − | 13.3974i | 0.623774 | − | 0.561649i | −0.295462 | − | 0.955354i | \(-0.595474\pi\) |
0.919237 | + | 0.393706i | \(0.128807\pi\) | |||||||
\(570\) | 3.87495 | + | 11.4156i | 0.162304 | + | 0.478149i | ||||
\(571\) | −20.6448 | −0.863958 | −0.431979 | − | 0.901884i | \(-0.642185\pi\) | ||||
−0.431979 | + | 0.901884i | \(0.642185\pi\) | |||||||
\(572\) | −18.8256 | − | 14.7512i | −0.787136 | − | 0.616779i | ||||
\(573\) | 10.1696 | 0.424841 | ||||||||
\(574\) | 0.156924 | + | 0.462299i | 0.00654987 | + | 0.0192960i | ||||
\(575\) | 2.54400 | − | 2.29062i | 0.106092 | − | 0.0955256i | ||||
\(576\) | 16.0809 | − | 4.76227i | 0.670038 | − | 0.198428i | ||||
\(577\) | −18.8142 | − | 25.8956i | −0.783247 | − | 1.07805i | −0.994916 | − | 0.100705i | \(-0.967890\pi\) |
0.211670 | − | 0.977341i | \(-0.432110\pi\) | |||||||
\(578\) | −17.5086 | − | 9.80552i | −0.728261 | − | 0.407856i | ||||
\(579\) | 12.5821 | + | 11.3289i | 0.522893 | + | 0.470815i | ||||
\(580\) | −4.40929 | + | 8.12049i | −0.183086 | + | 0.337185i | ||||
\(581\) | −0.614677 | + | 5.84826i | −0.0255011 | + | 0.242627i | ||||
\(582\) | 3.62037 | − | 5.12259i | 0.150069 | − | 0.212338i | ||||
\(583\) | 3.68768 | − | 0.0999150i | 0.152728 | − | 0.00413806i | ||||
\(584\) | 10.9997 | + | 3.10261i | 0.455171 | + | 0.128387i | ||||
\(585\) | 1.29137 | + | 10.7216i | 0.0533914 | + | 0.443285i | ||||
\(586\) | −9.63947 | + | 22.4358i | −0.398203 | + | 0.926815i | ||||
\(587\) | 45.6710 | + | 9.70767i | 1.88504 | + | 0.400678i | 0.998123 | − | 0.0612424i | \(-0.0195063\pi\) |
0.886921 | + | 0.461921i | \(0.152840\pi\) | |||||||
\(588\) | −10.7196 | − | 0.843883i | −0.442071 | − | 0.0348012i | ||||
\(589\) | −22.3526 | + | 50.2047i | −0.921023 | + | 2.06865i | ||||
\(590\) | −9.71845 | + | 2.19895i | −0.400102 | + | 0.0905294i | ||||
\(591\) | −0.216974 | − | 1.02078i | −0.00892510 | − | 0.0419893i | ||||
\(592\) | −8.99546 | − | 4.58390i | −0.369711 | − | 0.188397i | ||||
\(593\) | 1.69293 | 0.0695204 | 0.0347602 | − | 0.999396i | \(-0.488933\pi\) | ||||
0.0347602 | + | 0.999396i | \(0.488933\pi\) | |||||||
\(594\) | 22.7045 | − | 0.912461i | 0.931576 | − | 0.0374387i | ||||
\(595\) | 2.40465 | + | 1.38833i | 0.0985811 | + | 0.0569159i | ||||
\(596\) | 17.4551 | − | 4.19021i | 0.714989 | − | 0.171638i | ||||
\(597\) | 7.00412 | − | 21.5565i | 0.286660 | − | 0.882247i | ||||
\(598\) | 3.33154 | − | 4.86874i | 0.136237 | − | 0.199097i | ||||
\(599\) | 16.8717 | + | 23.2220i | 0.689361 | + | 0.948823i | 0.999999 | − | 0.00170493i | \(-0.000542696\pi\) |
−0.310638 | + | 0.950528i | \(0.600543\pi\) | |||||||
\(600\) | 7.84021 | + | 1.34745i | 0.320075 | + | 0.0550094i | ||||
\(601\) | −7.36449 | + | 34.6472i | −0.300404 | + | 1.41329i | 0.526131 | + | 0.850404i | \(0.323642\pi\) |
−0.826535 | + | 0.562886i | \(0.809691\pi\) | |||||||
\(602\) | −0.166192 | − | 1.40428i | −0.00677349 | − | 0.0572341i | ||||
\(603\) | −24.7660 | − | 17.9936i | −1.00855 | − | 0.732754i | ||||
\(604\) | −10.6167 | + | 3.75931i | −0.431987 | + | 0.152964i | ||||
\(605\) | −14.6616 | + | 5.65864i | −0.596081 | + | 0.230056i | ||||
\(606\) | −24.1456 | − | 2.21893i | −0.980849 | − | 0.0901379i | ||||
\(607\) | −0.370818 | + | 3.52809i | −0.0150510 | + | 0.143201i | −0.999467 | − | 0.0326567i | \(-0.989603\pi\) |
0.984416 | + | 0.175858i | \(0.0562699\pi\) | |||||||
\(608\) | −34.1743 | + | 9.63619i | −1.38595 | + | 0.390799i | ||||
\(609\) | 0.740953 | − | 3.48591i | 0.0300249 | − | 0.141256i | ||||
\(610\) | −7.31508 | + | 4.35191i | −0.296179 | + | 0.176204i | ||||
\(611\) | −0.616049 | − | 0.538022i | −0.0249227 | − | 0.0217660i | ||||
\(612\) | −6.96863 | + | 0.917287i | −0.281690 | + | 0.0370791i | ||||
\(613\) | −16.2492 | − | 18.0466i | −0.656299 | − | 0.728893i | 0.319495 | − | 0.947588i | \(-0.396487\pi\) |
−0.975793 | + | 0.218695i | \(0.929820\pi\) | |||||||
\(614\) | 6.75168 | + | 19.8905i | 0.272476 | + | 0.802715i | ||||
\(615\) | 0.202199 | + | 0.350219i | 0.00815344 | + | 0.0141222i | ||||
\(616\) | 6.72547 | − | 8.54661i | 0.270977 | − | 0.344353i | ||||
\(617\) | −15.4871 | + | 8.94148i | −0.623487 | + | 0.359970i | −0.778225 | − | 0.627985i | \(-0.783880\pi\) |
0.154738 | + | 0.987955i | \(0.450547\pi\) | |||||||
\(618\) | −2.20447 | + | 11.0820i | −0.0886768 | + | 0.445783i | ||||
\(619\) | 12.8332 | − | 39.4965i | 0.515809 | − | 1.58750i | −0.265995 | − | 0.963974i | \(-0.585701\pi\) |
0.781805 | − | 0.623523i | \(-0.214299\pi\) | |||||||
\(620\) | −15.2294 | − | 19.8483i | −0.611629 | − | 0.797126i | ||||
\(621\) | 0.585884 | + | 5.57431i | 0.0235107 | + | 0.223689i | ||||
\(622\) | 37.5941 | − | 0.491734i | 1.50738 | − | 0.0197168i | ||||
\(623\) | −0.271552 | − | 0.835752i | −0.0108795 | − | 0.0334837i | ||||
\(624\) | 13.6782 | − | 0.924204i | 0.547567 | − | 0.0369978i | ||||
\(625\) | 1.17421 | + | 0.853116i | 0.0469685 | + | 0.0341246i | ||||
\(626\) | −25.1976 | + | 35.6530i | −1.00710 | + | 1.42498i | ||||
\(627\) | −19.7816 | + | 0.535967i | −0.790000 | + | 0.0214045i | ||||
\(628\) | 4.98263 | + | 14.0715i | 0.198828 | + | 0.561512i | ||||
\(629\) | 3.42311 | + | 2.48704i | 0.136489 | + | 0.0991647i | ||||
\(630\) | −4.87663 | + | 0.577135i | −0.194290 | + | 0.0229936i | ||||
\(631\) | −21.5577 | + | 23.9422i | −0.858198 | + | 0.953125i | −0.999320 | − | 0.0368668i | \(-0.988262\pi\) |
0.141122 | + | 0.989992i | \(0.454929\pi\) | |||||||
\(632\) | −41.5060 | + | 15.3109i | −1.65102 | + | 0.609034i | ||||
\(633\) | −9.96461 | + | 22.3809i | −0.396058 | + | 0.889560i | ||||
\(634\) | −0.496131 | + | 1.59774i | −0.0197039 | + | 0.0634544i | ||||
\(635\) | −19.2851 | + | 17.3644i | −0.765305 | + | 0.689084i | ||||
\(636\) | −1.53392 | + | 1.45558i | −0.0608241 | + | 0.0577174i | ||||
\(637\) | 19.4879 | + | 6.00723i | 0.772140 | + | 0.238015i | ||||
\(638\) | −10.5938 | − | 10.8554i | −0.419414 | − | 0.429768i | ||||
\(639\) | 8.70087 | − | 15.0704i | 0.344201 | − | 0.596174i | ||||
\(640\) | 3.56851 | − | 15.7651i | 0.141058 | − | 0.623170i | ||||
\(641\) | 21.1993 | − | 4.50605i | 0.837322 | − | 0.177978i | 0.230756 | − | 0.973012i | \(-0.425880\pi\) |
0.606566 | + | 0.795033i | \(0.292547\pi\) | |||||||
\(642\) | 12.7208 | − | 2.87828i | 0.502051 | − | 0.113597i | ||||
\(643\) | 9.95433 | + | 4.43195i | 0.392561 | + | 0.174779i | 0.593518 | − | 0.804821i | \(-0.297739\pi\) |
−0.200957 | + | 0.979600i | \(0.564405\pi\) | |||||||
\(644\) | 2.21081 | + | 1.51952i | 0.0871181 | + | 0.0598773i | ||||
\(645\) | −0.361961 | − | 1.11400i | −0.0142522 | − | 0.0438637i | ||||
\(646\) | 14.7776 | − | 1.74889i | 0.581417 | − | 0.0688090i | ||||
\(647\) | 13.1474 | + | 29.5296i | 0.516879 | + | 1.16093i | 0.963866 | + | 0.266388i | \(0.0858302\pi\) |
−0.446987 | + | 0.894540i | \(0.647503\pi\) | |||||||
\(648\) | 3.41218 | − | 3.32379i | 0.134043 | − | 0.130571i | ||||
\(649\) | 1.26848 | − | 16.3068i | 0.0497922 | − | 0.640097i | ||||
\(650\) | −13.9504 | − | 5.74501i | −0.547179 | − | 0.225338i | ||||
\(651\) | 7.80601 | + | 5.67140i | 0.305942 | + | 0.222280i | ||||
\(652\) | −0.651147 | − | 1.06263i | −0.0255009 | − | 0.0416156i | ||||
\(653\) | 29.3986 | + | 6.24887i | 1.15046 | + | 0.244537i | 0.743388 | − | 0.668860i | \(-0.233218\pi\) |
0.407069 | + | 0.913398i | \(0.366551\pi\) | |||||||
\(654\) | 1.38150 | − | 2.46679i | 0.0540210 | − | 0.0964591i | ||||
\(655\) | −10.1333 | − | 13.9473i | −0.395940 | − | 0.544965i | ||||
\(656\) | −1.06128 | + | 0.540693i | −0.0414361 | + | 0.0211105i | ||||
\(657\) | 8.28589 | − | 1.76122i | 0.323263 | − | 0.0687117i | ||||
\(658\) | 0.245232 | − | 0.279628i | 0.00956015 | − | 0.0109010i | ||||
\(659\) | 21.8233 | + | 37.7990i | 0.850114 | + | 1.47244i | 0.881105 | + | 0.472921i | \(0.156800\pi\) |
−0.0309912 | + | 0.999520i | \(0.509866\pi\) | |||||||
\(660\) | 4.08268 | − | 8.03030i | 0.158918 | − | 0.312579i | ||||
\(661\) | 24.1895 | + | 13.9658i | 0.940864 | + | 0.543208i | 0.890231 | − | 0.455509i | \(-0.150543\pi\) |
0.0506331 | + | 0.998717i | \(0.483876\pi\) | |||||||
\(662\) | 9.71351 | + | 8.51870i | 0.377526 | + | 0.331089i | ||||
\(663\) | −5.72250 | − | 0.513952i | −0.222243 | − | 0.0199602i | ||||
\(664\) | −14.3356 | + | 0.562789i | −0.556328 | + | 0.0218405i | ||||
\(665\) | 10.3396 | − | 1.08673i | 0.400951 | − | 0.0421416i | ||||
\(666\) | −7.48247 | + | 0.0978715i | −0.289940 | + | 0.00379245i | ||||
\(667\) | 2.50354 | − | 2.78046i | 0.0969374 | − | 0.107660i | ||||
\(668\) | −12.7705 | − | 6.93415i | −0.494104 | − | 0.268290i | ||||
\(669\) | 15.2533 | + | 1.60319i | 0.589728 | + | 0.0619830i | ||||
\(670\) | −26.7939 | + | 12.3518i | −1.03514 | + | 0.477192i | ||||
\(671\) | −3.27402 | − | 13.5829i | −0.126392 | − | 0.524364i | ||||
\(672\) | 0.407396 | + | 6.22071i | 0.0157156 | + | 0.239969i | ||||
\(673\) | 11.7379 | + | 26.3637i | 0.452462 | + | 1.01625i | 0.985426 | + | 0.170107i | \(0.0544115\pi\) |
−0.532964 | + | 0.846138i | \(0.678922\pi\) | |||||||
\(674\) | 25.4330 | − | 18.9913i | 0.979642 | − | 0.731517i | ||||
\(675\) | 13.6324 | − | 4.42945i | 0.524713 | − | 0.170490i | ||||
\(676\) | −25.6963 | − | 3.96213i | −0.988321 | − | 0.152390i | ||||
\(677\) | −18.1711 | − | 25.0103i | −0.698371 | − | 0.961225i | −0.999970 | − | 0.00778974i | \(-0.997520\pi\) |
0.301599 | − | 0.953435i | \(-0.402480\pi\) | |||||||
\(678\) | 4.40747 | − | 14.1938i | 0.169268 | − | 0.545111i | ||||
\(679\) | −3.61975 | − | 4.02014i | −0.138913 | − | 0.154279i | ||||
\(680\) | −2.51043 | + | 6.29187i | −0.0962708 | + | 0.241282i | ||||
\(681\) | −19.1277 | −0.732975 | ||||||||
\(682\) | 38.5155 | − | 14.2484i | 1.47484 | − | 0.545599i | ||||
\(683\) | −2.61804 | − | 4.53459i | −0.100177 | − | 0.173511i | 0.811581 | − | 0.584240i | \(-0.198607\pi\) |
−0.911757 | + | 0.410729i | \(0.865274\pi\) | |||||||
\(684\) | −19.0903 | + | 18.1153i | −0.729938 | + | 0.692656i | ||||
\(685\) | −27.9137 | + | 5.93324i | −1.06653 | + | 0.226697i | ||||
\(686\) | −6.15344 | + | 19.8166i | −0.234939 | + | 0.756600i | ||||
\(687\) | −0.875177 | − | 8.32675i | −0.0333901 | − | 0.317685i | ||||
\(688\) | 3.33242 | − | 0.892767i | 0.127047 | − | 0.0340364i | ||||
\(689\) | 3.44234 | − | 2.05758i | 0.131143 | − | 0.0783875i | ||||
\(690\) | 2.04166 | + | 0.877194i | 0.0777249 | + | 0.0333942i | ||||
\(691\) | −26.5376 | + | 11.8153i | −1.00954 | + | 0.449476i | −0.843779 | − | 0.536690i | \(-0.819674\pi\) |
−0.165760 | + | 0.986166i | \(0.553008\pi\) | |||||||
\(692\) | −8.75203 | − | 7.47526i | −0.332702 | − | 0.284167i | ||||
\(693\) | 1.46177 | − | 7.92718i | 0.0555282 | − | 0.301129i | ||||
\(694\) | 13.5794 | + | 1.24792i | 0.515467 | + | 0.0473703i | ||||
\(695\) | 2.22239 | + | 0.233582i | 0.0843000 | + | 0.00886028i | ||||
\(696\) | 8.67595 | + | 0.568929i | 0.328861 | + | 0.0215652i | ||||
\(697\) | 0.474743 | − | 0.154253i | 0.0179822 | − | 0.00584276i | ||||
\(698\) | 28.8994 | + | 16.1848i | 1.09386 | + | 0.612604i | ||||
\(699\) | 1.86674 | + | 17.7608i | 0.0706065 | + | 0.671776i | ||||
\(700\) | 2.62553 | − | 6.33821i | 0.0992357 | − | 0.239562i | ||||
\(701\) | −32.4282 | − | 10.5366i | −1.22479 | − | 0.397960i | −0.375969 | − | 0.926632i | \(-0.622690\pi\) |
−0.848826 | + | 0.528672i | \(0.822690\pi\) | |||||||
\(702\) | 21.0357 | − | 12.9500i | 0.793942 | − | 0.488766i | ||||
\(703\) | 15.8427 | 0.597519 | ||||||||
\(704\) | 22.9894 | + | 13.2471i | 0.866447 | + | 0.499269i | ||||
\(705\) | 0.154040 | − | 0.266806i | 0.00580150 | − | 0.0100485i | ||||
\(706\) | 22.3857 | + | 4.45303i | 0.842495 | + | 0.167592i | ||||
\(707\) | −6.46180 | + | 19.8874i | −0.243021 | + | 0.747942i | ||||
\(708\) | 5.70734 | + | 7.43828i | 0.214495 | + | 0.279548i | ||||
\(709\) | 11.4931 | − | 25.8139i | 0.431632 | − | 0.969461i | −0.558524 | − | 0.829488i | \(-0.688632\pi\) |
0.990155 | − | 0.139972i | \(-0.0447013\pi\) | |||||||
\(710\) | −8.57505 | − | 14.4137i | −0.321816 | − | 0.540937i | ||||
\(711\) | −21.9410 | + | 24.3679i | −0.822850 | + | 0.913868i | ||||
\(712\) | 1.92285 | − | 0.948170i | 0.0720619 | − | 0.0355342i | ||||
\(713\) | 4.12018 | + | 9.25408i | 0.154302 | + | 0.346568i | ||||
\(714\) | 0.239089 | − | 2.60169i | 0.00894770 | − | 0.0973658i | ||||
\(715\) | −10.8857 | + | 13.1678i | −0.407102 | + | 0.492449i | ||||
\(716\) | 0.274484 | − | 1.48081i | 0.0102580 | − | 0.0553405i | ||||
\(717\) | 18.7240 | − | 8.33644i | 0.699259 | − | 0.311330i | ||||
\(718\) | −31.9020 | + | 23.8219i | −1.19057 | + | 0.889024i | ||||
\(719\) | −17.6036 | − | 15.8503i | −0.656502 | − | 0.591117i | 0.272067 | − | 0.962278i | \(-0.412293\pi\) |
−0.928568 | + | 0.371162i | \(0.878960\pi\) | |||||||
\(720\) | −3.10031 | − | 11.5725i | −0.115542 | − | 0.431280i | ||||
\(721\) | 8.90188 | + | 3.96337i | 0.331523 | + | 0.147604i | ||||
\(722\) | 21.1834 | − | 19.5813i | 0.788364 | − | 0.728740i | ||||
\(723\) | 4.73466 | + | 1.53838i | 0.176084 | + | 0.0572131i | ||||
\(724\) | 11.6807 | − | 39.4304i | 0.434111 | − | 1.46542i | ||||
\(725\) | −8.28638 | − | 4.78414i | −0.307748 | − | 0.177679i | ||||
\(726\) | 10.6109 | + | 10.2994i | 0.393808 | + | 0.382248i | ||||
\(727\) | 22.1157i | 0.820224i | 0.912035 | + | 0.410112i | \(0.134510\pi\) | ||||
−0.912035 | + | 0.410112i | \(0.865490\pi\) | |||||||
\(728\) | 1.82585 | − | 11.6811i | 0.0676706 | − | 0.432930i | ||||
\(729\) | −3.17812 | + | 9.78124i | −0.117708 | + | 0.362268i | ||||
\(730\) | 2.42112 | − | 7.79699i | 0.0896097 | − | 0.288580i | ||||
\(731\) | −1.43793 | + | 0.151132i | −0.0531837 | + | 0.00558983i | ||||
\(732\) | 6.60032 | + | 4.53648i | 0.243955 | + | 0.167673i | ||||
\(733\) | −0.119924 | − | 0.369087i | −0.00442948 | − | 0.0136325i | 0.948817 | − | 0.315825i | \(-0.102281\pi\) |
−0.953247 | + | 0.302193i | \(0.902281\pi\) | |||||||
\(734\) | 0.0441553 | + | 0.373100i | 0.00162980 | + | 0.0137714i | ||||
\(735\) | −0.802913 | + | 7.63921i | −0.0296159 | + | 0.281776i | ||||
\(736\) | −2.89503 | + | 5.86976i | −0.106712 | + | 0.216362i | ||||
\(737\) | −6.36503 | − | 48.0104i | −0.234459 | − | 1.76849i | ||||
\(738\) | −0.509521 | + | 0.720939i | −0.0187557 | + | 0.0265381i | ||||
\(739\) | −7.94739 | − | 17.8501i | −0.292349 | − | 0.656628i | 0.706337 | − | 0.707876i | \(-0.250347\pi\) |
−0.998686 | + | 0.0512487i | \(0.983680\pi\) | |||||||
\(740\) | −3.44147 | + | 6.33807i | −0.126511 | + | 0.232992i | ||||
\(741\) | −18.4655 | + | 11.0373i | −0.678348 | + | 0.405467i | ||||
\(742\) | 0.932398 | + | 1.56726i | 0.0342294 | + | 0.0575359i | ||||
\(743\) | 39.0057 | − | 4.09966i | 1.43098 | − | 0.150402i | 0.642888 | − | 0.765961i | \(-0.277736\pi\) |
0.788091 | + | 0.615559i | \(0.211070\pi\) | |||||||
\(744\) | −10.9613 | + | 20.8324i | −0.401860 | + | 0.763752i | ||||
\(745\) | −2.66612 | − | 12.5431i | −0.0976790 | − | 0.459544i | ||||
\(746\) | −31.0477 | + | 35.4024i | −1.13674 | + | 1.29617i | ||||
\(747\) | −9.20896 | + | 5.31679i | −0.336938 | + | 0.194531i | ||||
\(748\) | −8.64793 | − | 6.99027i | −0.316200 | − | 0.255590i | ||||
\(749\) | − | 11.2477i | − | 0.410981i | ||||||
\(750\) | 2.98229 | − | 14.9922i | 0.108898 | − | 0.547437i | ||||
\(751\) | −5.56635 | + | 5.01196i | −0.203119 | + | 0.182889i | −0.764412 | − | 0.644728i | \(-0.776971\pi\) |
0.561293 | + | 0.827617i | \(0.310304\pi\) | |||||||
\(752\) | 0.760984 | + | 0.494235i | 0.0277502 | + | 0.0180229i | ||||
\(753\) | 13.3764 | − | 9.71853i | 0.487464 | − | 0.354163i | ||||
\(754\) | −15.8199 | − | 4.65086i | −0.576126 | − | 0.169374i | ||||
\(755\) | 2.48619 | + | 7.65169i | 0.0904816 | + | 0.278474i | ||||
\(756\) | 5.86893 | + | 9.57767i | 0.213451 | + | 0.348337i | ||||
\(757\) | 14.1886 | − | 6.31716i | 0.515692 | − | 0.229601i | −0.132353 | − | 0.991203i | \(-0.542253\pi\) |
0.648045 | + | 0.761602i | \(0.275587\pi\) | |||||||
\(758\) | −9.83067 | − | 21.3250i | −0.357066 | − | 0.774558i | ||||
\(759\) | −2.36642 | + | 2.77582i | −0.0858955 | + | 0.100756i | ||||
\(760\) | 6.24274 | + | 24.5841i | 0.226448 | + | 0.891761i | ||||
\(761\) | −2.37931 | + | 22.6377i | −0.0862501 | + | 0.820614i | 0.862812 | + | 0.505525i | \(0.168701\pi\) |
−0.949062 | + | 0.315089i | \(0.897965\pi\) | |||||||
\(762\) | 22.4348 | + | 9.63904i | 0.812728 | + | 0.349186i | ||||
\(763\) | −1.81197 | − | 1.63150i | −0.0655977 | − | 0.0590644i | ||||
\(764\) | 21.3307 | + | 1.67922i | 0.771718 | + | 0.0607520i | ||||
\(765\) | 0.524836 | + | 4.99348i | 0.0189755 | + | 0.180540i | ||||
\(766\) | 6.34043 | + | 28.0220i | 0.229089 | + | 1.01248i | ||||
\(767\) | −7.47735 | − | 16.1322i | −0.269992 | − | 0.582502i | ||||
\(768\) | −14.8771 | + | 3.16091i | −0.536832 | + | 0.114060i | ||||
\(769\) | 7.83507 | − | 13.5707i | 0.282540 | − | 0.489373i | −0.689470 | − | 0.724314i | \(-0.742156\pi\) |
0.972010 | + | 0.234941i | \(0.0754897\pi\) | |||||||
\(770\) | −5.97753 | − | 4.96240i | −0.215415 | − | 0.178832i | ||||
\(771\) | −8.98842 | + | 5.18947i | −0.323710 | + | 0.186894i | ||||
\(772\) | 24.5202 | + | 25.8400i | 0.882502 | + | 0.930003i | ||||
\(773\) | −8.33438 | − | 39.2102i | −0.299767 | − | 1.41029i | −0.827779 | − | 0.561055i | \(-0.810396\pi\) |
0.528012 | − | 0.849237i | \(-0.322938\pi\) | |||||||
\(774\) | 1.87773 | − | 1.73571i | 0.0674935 | − | 0.0623890i | ||||
\(775\) | 20.9581 | − | 15.2269i | 0.752837 | − | 0.546968i | ||||
\(776\) | 8.43957 | − | 10.1468i | 0.302963 | − | 0.364250i | ||||
\(777\) | 0.578316 | − | 2.72076i | 0.0207470 | − | 0.0976069i | ||||
\(778\) | −28.2594 | − | 37.8448i | −1.01315 | − | 1.35680i | ||||
\(779\) | 1.09859 | − | 1.51208i | 0.0393611 | − | 0.0541760i | ||||
\(780\) | −0.404411 | − | 9.78497i | −0.0144802 | − | 0.350358i | ||||
\(781\) | 26.7640 | − | 6.45116i | 0.957690 | − | 0.230841i | ||||
\(782\) | 1.58309 | − | 2.23997i | 0.0566111 | − | 0.0801010i | ||||
\(783\) | 14.3119 | − | 6.37208i | 0.511466 | − | 0.227719i | ||||
\(784\) | −22.3451 | − | 3.54009i | −0.798040 | − | 0.126432i | ||||
\(785\) | 10.1416 | − | 3.29521i | 0.361970 | − | 0.117611i | ||||
\(786\) | −7.92633 | + | 14.1531i | −0.282723 | + | 0.504825i | ||||
\(787\) | −21.2694 | + | 47.7719i | −0.758174 | + | 1.70289i | −0.0480121 | + | 0.998847i | \(0.515289\pi\) |
−0.710161 | + | 0.704039i | \(0.751378\pi\) | |||||||
\(788\) | −0.286549 | − | 2.17691i | −0.0102079 | − | 0.0775493i | ||||
\(789\) | 3.99538 | + | 18.7968i | 0.142239 | + | 0.669184i | ||||
\(790\) | 10.1581 | + | 29.9258i | 0.361408 | + | 1.06471i | ||||
\(791\) | −11.1001 | − | 6.40863i | −0.394673 | − | 0.227864i | ||||
\(792\) | 19.6515 | + | 0.754873i | 0.698287 | + | 0.0268232i | ||||
\(793\) | −10.3333 | − | 11.1325i | −0.366947 | − | 0.395326i | ||||
\(794\) | 17.3847 | − | 19.8231i | 0.616962 | − | 0.703495i | ||||
\(795\) | 1.01078 | + | 1.12258i | 0.0358486 | + | 0.0398139i | ||||
\(796\) | 18.2506 | − | 44.0581i | 0.646874 | − | 1.56160i | ||||
\(797\) | 23.0828 | + | 10.2771i | 0.817635 | + | 0.364035i | 0.772554 | − | 0.634949i | \(-0.218979\pi\) |
0.0450810 | + | 0.998983i | \(0.485645\pi\) | |||||||
\(798\) | −5.00160 | − | 8.40714i | −0.177055 | − | 0.297610i | ||||
\(799\) | −0.282606 | − | 0.254460i | −0.00999789 | − | 0.00900214i | ||||
\(800\) | 16.2223 | + | 4.12086i | 0.573546 | + | 0.145695i | ||||
\(801\) | 0.934023 | − | 1.28557i | 0.0330021 | − | 0.0454234i | ||||
\(802\) | −38.7946 | + | 17.8840i | −1.36988 | + | 0.631507i | ||||
\(803\) | 11.0515 | + | 7.58070i | 0.389998 | + | 0.267517i | ||||
\(804\) | 21.1095 | + | 18.0300i | 0.744473 | + | 0.635867i | ||||
\(805\) | 1.12641 | − | 1.55036i | 0.0397006 | − | 0.0546431i | ||||
\(806\) | 28.9245 | − | 34.0069i | 1.01882 | − | 1.19784i | ||||
\(807\) | 16.7069 | − | 5.42840i | 0.588111 | − | 0.191089i | ||||
\(808\) | −50.2791 | − | 8.64117i | −1.76881 | − | 0.303995i | ||||
\(809\) | −6.46008 | + | 0.678982i | −0.227124 | + | 0.0238717i | −0.217407 | − | 0.976081i | \(-0.569760\pi\) |
−0.00971739 | + | 0.999953i | \(0.503093\pi\) | |||||||
\(810\) | −2.30979 | − | 2.49876i | −0.0811576 | − | 0.0877976i | ||||
\(811\) | 4.13193 | + | 1.34254i | 0.145092 | + | 0.0471431i | 0.380662 | − | 0.924714i | \(-0.375696\pi\) |
−0.235571 | + | 0.971857i | \(0.575696\pi\) | |||||||
\(812\) | 2.12975 | − | 7.18934i | 0.0747395 | − | 0.252297i | ||||
\(813\) | −1.22289 | − | 2.11811i | −0.0428886 | − | 0.0742852i | ||||
\(814\) | −8.26852 | − | 8.47265i | −0.289811 | − | 0.296966i | ||||
\(815\) | −0.770995 | + | 0.445134i | −0.0270068 | + | 0.0155924i | ||||
\(816\) | 6.36537 | − | 0.333324i | 0.222833 | − | 0.0116687i | ||||
\(817\) | −4.02311 | + | 3.62242i | −0.140751 | + | 0.126732i | ||||
\(818\) | 9.17228 | + | 40.5377i | 0.320701 | + | 1.41737i | ||||
\(819\) | −2.83386 | − | 8.29218i | −0.0990230 | − | 0.289752i | ||||
\(820\) | 0.366283 | + | 0.767971i | 0.0127912 | + | 0.0268187i | ||||
\(821\) | −6.09752 | − | 1.29607i | −0.212805 | − | 0.0452331i | 0.100275 | − | 0.994960i | \(-0.468028\pi\) |
−0.313080 | + | 0.949727i | \(0.601361\pi\) | |||||||
\(822\) | 16.0658 | + | 21.5152i | 0.560360 | + | 0.750430i | ||||
\(823\) | −17.5989 | − | 1.84972i | −0.613460 | − | 0.0644772i | −0.207297 | − | 0.978278i | \(-0.566467\pi\) |
−0.406163 | + | 0.913801i | \(0.633133\pi\) | |||||||
\(824\) | −6.45375 | + | 22.8805i | −0.224827 | + | 0.797079i | ||||
\(825\) | 8.20186 | + | 4.44361i | 0.285552 | + | 0.154707i | ||||
\(826\) | 7.34279 | − | 3.38498i | 0.255488 | − | 0.117779i | ||||
\(827\) | 10.5470 | − | 14.5167i | 0.366755 | − | 0.504795i | −0.585260 | − | 0.810846i | \(-0.699008\pi\) |
0.952015 | + | 0.306050i | \(0.0990076\pi\) | |||||||
\(828\) | 0.126882 | + | 4.84934i | 0.00440944 | + | 0.168526i | ||||
\(829\) | 29.3767 | + | 6.24420i | 1.02029 | + | 0.216870i | 0.687542 | − | 0.726144i | \(-0.258690\pi\) |
0.332752 | + | 0.943014i | \(0.392023\pi\) | |||||||
\(830\) | 0.134040 | + | 10.2476i | 0.00465261 | + | 0.355701i | ||||
\(831\) | −9.89477 | + | 7.18897i | −0.343246 | + | 0.249383i | ||||
\(832\) | 28.8426 | + | 0.320051i | 0.999938 | + | 0.0110958i | ||||
\(833\) | 9.01745 | + | 2.92995i | 0.312436 | + | 0.101517i | ||||
\(834\) | −0.675851 | − | 1.99106i | −0.0234028 | − | 0.0689448i | ||||
\(835\) | −5.19033 | + | 8.98992i | −0.179619 | + | 0.311109i | ||||
\(836\) | −41.5804 | − | 2.14217i | −1.43809 | − | 0.0740887i | ||||
\(837\) | 42.4158i | 1.46610i | ||||||||
\(838\) | −15.8171 | − | 3.14639i | −0.546392 | − | 0.108690i | ||||
\(839\) | −12.3991 | + | 2.63550i | −0.428063 | + | 0.0909876i | −0.416905 | − | 0.908950i | \(-0.636885\pi\) |
−0.0111582 | + | 0.999938i | \(0.503552\pi\) | |||||||
\(840\) | 4.44987 | − | 0.174694i | 0.153535 | − | 0.00602751i | ||||
\(841\) | 16.9393 | + | 7.54185i | 0.584113 | + | 0.260064i | ||||
\(842\) | −14.5793 | + | 0.190698i | −0.502435 | + | 0.00657190i | ||||
\(843\) | 3.17466 | − | 14.9356i | 0.109341 | − | 0.514409i | ||||
\(844\) | −24.5963 | + | 45.2985i | −0.846640 | + | 1.55924i | ||||
\(845\) | −3.30950 | + | 18.2759i | −0.113850 | + | 0.628710i | ||||
\(846\) | 0.669731 | + | 0.0615468i | 0.0230258 | + | 0.00211602i | ||||
\(847\) | 10.6827 | − | 6.96500i | 0.367060 | − | 0.239320i | ||||
\(848\) | −3.45775 | + | 2.79979i | −0.118740 | + | 0.0961452i | ||||
\(849\) | −18.4277 | − | 1.93683i | −0.632438 | − | 0.0664720i | ||||
\(850\) | −6.44494 | − | 2.76904i | −0.221060 | − | 0.0949774i | ||||
\(851\) | 1.95402 | − | 2.17016i | 0.0669829 | − | 0.0743921i | ||||
\(852\) | −8.93873 | + | 13.0053i | −0.306236 | + | 0.445555i | ||||
\(853\) | −10.6046 | + | 7.70472i | −0.363096 | + | 0.263805i | −0.754342 | − | 0.656481i | \(-0.772044\pi\) |
0.391246 | + | 0.920286i | \(0.372044\pi\) | |||||||
\(854\) | 5.07195 | − | 4.68836i | 0.173558 | − | 0.160432i | ||||
\(855\) | 12.5796 | + | 13.9710i | 0.430212 | + | 0.477799i | ||||
\(856\) | 27.1572 | − | 3.93672i | 0.928213 | − | 0.134554i | ||||
\(857\) | − | 25.7160i | − | 0.878441i | −0.898379 | − | 0.439221i | \(-0.855255\pi\) | ||
0.898379 | − | 0.439221i | \(-0.144745\pi\) | |||||||
\(858\) | 15.5402 | + | 4.11480i | 0.530532 | + | 0.140477i | ||||
\(859\) | 37.3519i | 1.27443i | 0.770686 | + | 0.637215i | \(0.219914\pi\) | ||||
−0.770686 | + | 0.637215i | \(0.780086\pi\) | |||||||
\(860\) | −0.575267 | − | 2.39638i | −0.0196164 | − | 0.0817160i | ||||
\(861\) | −0.219576 | − | 0.243864i | −0.00748314 | − | 0.00831087i | ||||
\(862\) | −12.6480 | − | 13.6828i | −0.430793 | − | 0.466039i | ||||
\(863\) | 17.2846 | − | 12.5580i | 0.588374 | − | 0.427479i | −0.253359 | − | 0.967372i | \(-0.581536\pi\) |
0.841733 | + | 0.539894i | \(0.181536\pi\) | |||||||
\(864\) | −21.0708 | + | 17.5225i | −0.716844 | + | 0.596129i | ||||
\(865\) | −5.50166 | + | 6.11022i | −0.187062 | + | 0.207754i | ||||
\(866\) | −5.91454 | + | 13.7661i | −0.200984 | + | 0.467790i | ||||
\(867\) | 13.4145 | + | 1.40993i | 0.455582 | + | 0.0478836i | ||||
\(868\) | 15.4366 | + | 13.1847i | 0.523954 | + | 0.447518i | ||||
\(869\) | −51.8569 | + | 1.40502i | −1.75912 | + | 0.0476621i | ||||
\(870\) | 0.568381 | − | 6.18492i | 0.0192699 | − | 0.209689i | ||||
\(871\) | −31.5882 | − | 42.1207i | −1.07033 | − | 1.42721i | ||||
\(872\) | 3.30502 | − | 4.94597i | 0.111922 | − | 0.167492i | ||||
\(873\) | 2.03383 | − | 9.56840i | 0.0688346 | − | 0.323841i | ||||
\(874\) | −0.134324 | − | 10.2693i | −0.00454357 | − | 0.347365i | ||||
\(875\) | −12.0428 | − | 5.36181i | −0.407121 | − | 0.181262i | ||||
\(876\) | −7.61633 | + | 1.00254i | −0.257332 | + | 0.0338728i | ||||
\(877\) | −5.40089 | + | 1.14800i | −0.182375 | + | 0.0387650i | −0.298194 | − | 0.954505i | \(-0.596384\pi\) |
0.115819 | + | 0.993270i | \(0.463051\pi\) | |||||||
\(878\) | −6.20500 | + | 31.1929i | −0.209408 | + | 1.05271i | ||||
\(879\) | − | 16.4134i | − | 0.553610i | ||||||
\(880\) | 9.88939 | − | 16.1694i | 0.333371 | − | 0.545071i | ||||
\(881\) | 18.8608 | − | 32.6678i | 0.635435 | − | 1.10061i | −0.350988 | − | 0.936380i | \(-0.614154\pi\) |
0.986423 | − | 0.164226i | \(-0.0525125\pi\) | |||||||
\(882\) | −15.8787 | + | 5.38991i | −0.534664 | + | 0.181488i | ||||
\(883\) | −23.0583 | − | 7.49208i | −0.775972 | − | 0.252129i | −0.105853 | − | 0.994382i | \(-0.533757\pi\) |
−0.670119 | + | 0.742253i | \(0.733757\pi\) | |||||||
\(884\) | −11.9181 | − | 2.02292i | −0.400848 | − | 0.0680382i | ||||
\(885\) | 5.41836 | − | 3.93667i | 0.182136 | − | 0.132330i | ||||
\(886\) | −53.6079 | + | 0.701197i | −1.80099 | + | 0.0235572i | ||||
\(887\) | 8.82935 | + | 1.87674i | 0.296461 | + | 0.0630146i | 0.353741 | − | 0.935344i | \(-0.384910\pi\) |
−0.0572802 | + | 0.998358i | \(0.518243\pi\) | |||||||
\(888\) | 6.77161 | + | 0.444051i | 0.227240 | + | 0.0149014i | ||||
\(889\) | 12.3775 | − | 17.0362i | 0.415128 | − | 0.571374i | ||||
\(890\) | −0.641167 | − | 1.39084i | −0.0214920 | − | 0.0466210i | ||||
\(891\) | 5.03934 | − | 2.40926i | 0.168824 | − | 0.0807132i | ||||
\(892\) | 31.7292 | + | 5.88135i | 1.06237 | + | 0.196922i | ||||
\(893\) | −1.41608 | − | 0.148836i | −0.0473873 | − | 0.00498061i | ||||
\(894\) | −9.66794 | + | 7.21923i | −0.323344 | + | 0.241447i | ||||
\(895\) | −1.05233 | − | 0.223679i | −0.0351755 | − | 0.00747677i | ||||
\(896\) | −0.172661 | + | 13.1152i | −0.00576821 | + | 0.438148i | ||||
\(897\) | −0.765602 | + | 3.89077i | −0.0255627 | + | 0.129909i | ||||
\(898\) | −24.9076 | + | 5.63574i | −0.831178 | + | 0.188067i | ||||
\(899\) | 21.0411 | − | 18.9455i | 0.701759 | − | 0.631866i | ||||
\(900\) | 12.0630 | − | 2.89580i | 0.402101 | − | 0.0965268i | ||||
\(901\) | 1.61480 | − | 0.932306i | 0.0537968 | − | 0.0310596i | ||||
\(902\) | −1.38203 | + | 0.201651i | −0.0460165 | + | 0.00671423i | ||||
\(903\) | 0.475242 | + | 0.823144i | 0.0158151 | + | 0.0273925i | ||||
\(904\) | 11.5884 | − | 29.0438i | 0.385423 | − | 0.965982i | ||||
\(905\) | −27.9393 | − | 9.07802i | −0.928732 | − | 0.301763i | ||||
\(906\) | 5.55907 | − | 5.13864i | 0.184688 | − | 0.170720i | ||||
\(907\) | −27.3431 | + | 2.87388i | −0.907913 | + | 0.0954255i | −0.546960 | − | 0.837159i | \(-0.684215\pi\) |
−0.360953 | + | 0.932584i | \(0.617548\pi\) | |||||||
\(908\) | −40.1203 | − | 3.15839i | −1.33144 | − | 0.104815i | ||||
\(909\) | −35.9621 | + | 11.6848i | −1.19279 | + | 0.387560i | ||||
\(910\) | −8.30743 | − | 1.52211i | −0.275388 | − | 0.0504574i | ||||
\(911\) | 17.4506 | − | 24.0187i | 0.578165 | − | 0.795776i | −0.415327 | − | 0.909672i | \(-0.636333\pi\) |
0.993493 | + | 0.113896i | \(0.0363330\pi\) | |||||||
\(912\) | 18.5482 | − | 15.0187i | 0.614192 | − | 0.497320i | ||||
\(913\) | −16.1345 | − | 4.76332i | −0.533973 | − | 0.157643i | ||||
\(914\) | −18.2783 | − | 39.6499i | −0.604593 | − | 1.31150i | ||||
\(915\) | 3.36285 | − | 4.62857i | 0.111172 | − | 0.153016i | ||||
\(916\) | −0.460757 | − | 17.6099i | −0.0152238 | − | 0.581846i | ||||
\(917\) | 10.3961 | + | 9.36071i | 0.343310 | + | 0.309118i | ||||
\(918\) | 9.87049 | − | 5.87219i | 0.325775 | − | 0.193811i | ||||
\(919\) | 34.5439 | + | 15.3799i | 1.13950 | + | 0.507337i | 0.887691 | − | 0.460441i | \(-0.152309\pi\) |
0.251807 | + | 0.967778i | \(0.418975\pi\) | |||||||
\(920\) | 4.13755 | + | 2.17704i | 0.136411 | + | 0.0717748i | ||||
\(921\) | −9.44732 | − | 10.4923i | −0.311300 | − | 0.345733i | ||||
\(922\) | 26.4800 | + | 23.2229i | 0.872073 | + | 0.764804i | ||||
\(923\) | 21.9355 | − | 20.3609i | 0.722017 | − | 0.670186i | ||||
\(924\) | −1.88572 | + | 7.06265i | −0.0620357 | + | 0.232344i | ||||
\(925\) | −6.46754 | − | 3.73404i | −0.212652 | − | 0.122774i | ||||
\(926\) | −12.9181 | + | 4.38494i | −0.424514 | + | 0.144098i | ||||
\(927\) | 3.66351 | + | 17.2355i | 0.120326 | + | 0.566087i | ||||
\(928\) | 18.1039 | + | 2.62591i | 0.594288 | + | 0.0861998i | ||||
\(929\) | −20.2875 | + | 45.5665i | −0.665612 | + | 1.49499i | 0.192378 | + | 0.981321i | \(0.438380\pi\) |
−0.857989 | + | 0.513667i | \(0.828287\pi\) | |||||||
\(930\) | 14.6717 | + | 8.21677i | 0.481105 | + | 0.269439i | ||||
\(931\) | 33.7636 | − | 10.9705i | 1.10656 | − | 0.359543i | ||||
\(932\) | 0.982786 | + | 37.5615i | 0.0321922 | + | 1.23037i | ||||
\(933\) | −23.0865 | + | 10.2788i | −0.755818 | + | 0.336512i | ||||
\(934\) | 34.8367 | + | 24.6207i | 1.13989 | + | 0.805614i | ||||
\(935\) | −5.15338 | + | 6.04494i | −0.168534 | + | 0.197691i | ||||
\(936\) | 19.0293 | − | 9.74454i | 0.621993 | − | 0.318510i | ||||
\(937\) | 3.62978 | − | 4.99597i | 0.118580 | − | 0.163211i | −0.745601 | − | 0.666393i | \(-0.767837\pi\) |
0.864181 | + | 0.503182i | \(0.167837\pi\) | |||||||
\(938\) | 19.1831 | − | 14.3244i | 0.626351 | − | 0.467708i | ||||
\(939\) | 6.10124 | − | 28.7041i | 0.199106 | − | 0.936722i | ||||
\(940\) | 0.367155 | − | 0.534190i | 0.0119753 | − | 0.0174233i | ||||
\(941\) | 42.8951 | − | 31.1651i | 1.39834 | − | 1.01595i | 0.403451 | − | 0.915001i | \(-0.367811\pi\) |
0.994891 | − | 0.100953i | \(-0.0321893\pi\) | |||||||
\(942\) | −6.81080 | − | 7.36804i | −0.221908 | − | 0.240064i | ||||
\(943\) | −0.0716284 | − | 0.336985i | −0.00233254 | − | 0.0109737i | ||||
\(944\) | 10.7429 | + | 16.5442i | 0.349652 | + | 0.538467i | ||||
\(945\) | 6.94914 | − | 4.01209i | 0.226056 | − | 0.130513i | ||||
\(946\) | 4.03698 | + | 0.260961i | 0.131253 | + | 0.00848456i | ||||
\(947\) | 11.3250 | − | 19.6154i | 0.368012 | − | 0.637416i | −0.621242 | − | 0.783618i | \(-0.713372\pi\) |
0.989255 | + | 0.146203i | \(0.0467051\pi\) | |||||||
\(948\) | 21.5703 | − | 20.4686i | 0.700572 | − | 0.664790i | ||||
\(949\) | 14.5106 | + | 1.30324i | 0.471035 | + | 0.0423048i | ||||
\(950\) | −25.6170 | + | 5.79624i | −0.831124 | + | 0.188055i | ||||
\(951\) | −0.117544 | − | 1.11836i | −0.00381164 | − | 0.0362653i | ||||
\(952\) | 0.931085 | − | 5.41756i | 0.0301766 | − | 0.175584i | ||||
\(953\) | −2.10050 | − | 1.89130i | −0.0680419 | − | 0.0612652i | 0.634408 | − | 0.772998i | \(-0.281244\pi\) |
−0.702450 | + | 0.711733i | \(0.747911\pi\) | |||||||
\(954\) | −1.30177 | + | 3.02985i | −0.0421462 | + | 0.0980951i | ||||
\(955\) | 1.59769 | − | 15.2010i | 0.0517001 | − | 0.491894i | ||||
\(956\) | 40.6500 | − | 14.3939i | 1.31471 | − | 0.465534i | ||||
\(957\) | 9.42277 | + | 3.89302i | 0.304595 | + | 0.125844i | ||||
\(958\) | −6.73848 | + | 3.10639i | −0.217710 | + | 0.100363i | ||||
\(959\) | 21.1548 | − | 9.41872i | 0.683124 | − | 0.304146i | ||||
\(960\) | 1.97926 | + | 10.6829i | 0.0638803 | + | 0.344790i | ||||
\(961\) | 14.1089 | + | 43.4228i | 0.455126 | + | 1.40074i | ||||
\(962\) | −12.3475 | − | 3.63001i | −0.398098 | − | 0.117036i | ||||
\(963\) | 16.4546 | − | 11.9550i | 0.530243 | − | 0.385244i | ||||
\(964\) | 9.67692 | + | 4.00855i | 0.311673 | + | 0.129107i | ||||
\(965\) | 18.9107 | − | 17.0273i | 0.608757 | − | 0.548127i | ||||
\(966\) | −1.76851 | − | 0.351799i | −0.0569010 | − | 0.0113189i | ||||
\(967\) | 47.7133i | 1.53436i | 0.641434 | + | 0.767178i | \(0.278340\pi\) | ||||
−0.641434 | + | 0.767178i | \(0.721660\pi\) | |||||||
\(968\) | 20.5557 | + | 23.3551i | 0.660686 | + | 0.750663i | ||||
\(969\) | −8.66217 | + | 5.00111i | −0.278269 | + | 0.160659i | ||||
\(970\) | −7.08823 | − | 6.21634i | −0.227589 | − | 0.199595i | ||||
\(971\) | −6.13363 | − | 28.8565i | −0.196838 | − | 0.926049i | −0.960034 | − | 0.279882i | \(-0.909705\pi\) |
0.763197 | − | 0.646166i | \(-0.223629\pi\) | |||||||
\(972\) | −12.3494 | + | 29.8123i | −0.396108 | + | 0.956231i | ||||
\(973\) | −1.80337 | + | 0.189542i | −0.0578135 | + | 0.00607645i | ||||
\(974\) | −4.61655 | + | 2.74649i | −0.147924 | + | 0.0880033i | ||||
\(975\) | 10.1397 | − | 0.153604i | 0.324730 | − | 0.00491926i | ||||
\(976\) | 13.0951 | + | 10.6051i | 0.419163 | + | 0.339461i | ||||
\(977\) | 15.2144 | + | 34.1722i | 0.486753 | + | 1.09326i | 0.975332 | + | 0.220745i | \(0.0708488\pi\) |
−0.488579 | + | 0.872520i | \(0.662485\pi\) | |||||||
\(978\) | 0.684083 | + | 0.483473i | 0.0218746 | + | 0.0154598i | ||||
\(979\) | 2.49216 | − | 0.330401i | 0.0796498 | − | 0.0105597i | ||||
\(980\) | −2.94551 | + | 15.8907i | −0.0940908 | + | 0.507608i | ||||
\(981\) | 0.460871 | − | 4.38489i | 0.0147145 | − | 0.139999i | ||||
\(982\) | −3.61898 | + | 0.428296i | −0.115486 | + | 0.0136675i | ||||
\(983\) | 7.41850 | + | 22.8318i | 0.236613 | + | 0.728221i | 0.996903 | + | 0.0786372i | \(0.0250569\pi\) |
−0.760290 | + | 0.649584i | \(0.774943\pi\) | |||||||
\(984\) | 0.511950 | − | 0.615513i | 0.0163204 | − | 0.0196218i | ||||
\(985\) | −1.55990 | + | 0.163952i | −0.0497026 | + | 0.00522396i | ||||
\(986\) | −7.32175 | − | 2.27355i | −0.233172 | − | 0.0724046i | ||||
\(987\) | −0.0772526 | + | 0.237759i | −0.00245898 | + | 0.00756795i | ||||
\(988\) | −40.5539 | + | 20.1017i | −1.29019 | + | 0.639522i | ||||
\(989\) | 0.997876i | 0.0317306i | ||||||||
\(990\) | 0.906237 | − | 14.0192i | 0.0288021 | − | 0.445559i | ||||
\(991\) | −49.8948 | − | 28.8068i | −1.58496 | − | 0.915078i | −0.994119 | − | 0.108291i | \(-0.965462\pi\) |
−0.590843 | − | 0.806787i | \(-0.701205\pi\) | |||||||
\(992\) | −26.4312 | + | 41.8859i | −0.839190 | + | 1.32988i | ||||
\(993\) | −8.25910 | − | 2.68355i | −0.262095 | − | 0.0851597i | ||||
\(994\) | 9.23800 | + | 9.99382i | 0.293011 | + | 0.316985i | ||||
\(995\) | −31.1212 | − | 13.8561i | −0.986609 | − | 0.439267i | ||||
\(996\) | 8.70390 | − | 4.15132i | 0.275794 | − | 0.131540i | ||||
\(997\) | −15.2411 | − | 13.7231i | −0.482690 | − | 0.434616i | 0.391516 | − | 0.920171i | \(-0.371951\pi\) |
−0.874206 | + | 0.485555i | \(0.838617\pi\) | |||||||
\(998\) | −1.85911 | − | 2.48971i | −0.0588492 | − | 0.0788104i | ||||
\(999\) | 11.1705 | − | 4.97343i | 0.353419 | − | 0.157352i |
(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 | 572.2.bn.a.95.9 | ✓ | 640 | |
4.3 | odd | 2 | inner | 572.2.bn.a.95.14 | yes | 640 | |
11.8 | odd | 10 | inner | 572.2.bn.a.459.42 | yes | 640 | |
13.10 | even | 6 | inner | 572.2.bn.a.491.35 | yes | 640 | |
44.19 | even | 10 | inner | 572.2.bn.a.459.35 | yes | 640 | |
52.23 | odd | 6 | inner | 572.2.bn.a.491.42 | yes | 640 | |
143.140 | odd | 30 | inner | 572.2.bn.a.283.14 | yes | 640 | |
572.283 | even | 30 | inner | 572.2.bn.a.283.9 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bn.a.95.9 | ✓ | 640 | 1.1 | even | 1 | trivial | |
572.2.bn.a.95.14 | yes | 640 | 4.3 | odd | 2 | inner | |
572.2.bn.a.283.9 | yes | 640 | 572.283 | even | 30 | inner | |
572.2.bn.a.283.14 | yes | 640 | 143.140 | odd | 30 | inner | |
572.2.bn.a.459.35 | yes | 640 | 44.19 | even | 10 | inner | |
572.2.bn.a.459.42 | yes | 640 | 11.8 | odd | 10 | inner | |
572.2.bn.a.491.35 | yes | 640 | 13.10 | even | 6 | inner | |
572.2.bn.a.491.42 | yes | 640 | 52.23 | odd | 6 | inner |