Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(64,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 64.12 | ||
Character | \(\chi\) | \(=\) | 287.64 |
Dual form | 287.2.n.a.148.12 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0458641 | + | 0.141155i | 0.0324308 | + | 0.0998118i | 0.965962 | − | 0.258685i | \(-0.0832893\pi\) |
−0.933531 | + | 0.358497i | \(0.883289\pi\) | |||||||
\(3\) | 2.46220i | 1.42155i | 0.703418 | + | 0.710776i | \(0.251656\pi\) | ||||
−0.703418 | + | 0.710776i | \(0.748344\pi\) | |||||||
\(4\) | 1.60021 | − | 1.16262i | 0.800106 | − | 0.581311i | ||||
\(5\) | 1.41155 | − | 1.02555i | 0.631264 | − | 0.458640i | −0.225574 | − | 0.974226i | \(-0.572426\pi\) |
0.856838 | + | 0.515586i | \(0.172426\pi\) | |||||||
\(6\) | −0.347553 | + | 0.112927i | −0.141888 | + | 0.0461021i | ||||
\(7\) | 0.951057 | + | 0.309017i | 0.359466 | + | 0.116797i | ||||
\(8\) | 0.477650 | + | 0.347033i | 0.168875 | + | 0.122695i | ||||
\(9\) | −3.06244 | −1.02081 | ||||||||
\(10\) | 0.209501 | + | 0.152212i | 0.0662501 | + | 0.0481335i | ||||
\(11\) | 2.65267 | − | 3.65109i | 0.799810 | − | 1.10084i | −0.193007 | − | 0.981197i | \(-0.561824\pi\) |
0.992817 | − | 0.119646i | \(-0.0381761\pi\) | |||||||
\(12\) | 2.86261 | + | 3.94005i | 0.826365 | + | 1.13739i | ||||
\(13\) | −0.388673 | + | 0.126288i | −0.107799 | + | 0.0350259i | −0.362420 | − | 0.932015i | \(-0.618049\pi\) |
0.254621 | + | 0.967041i | \(0.418049\pi\) | |||||||
\(14\) | 0.148419i | 0.0396668i | ||||||||
\(15\) | 2.52511 | + | 3.47552i | 0.651981 | + | 0.897376i | ||||
\(16\) | 1.19538 | − | 3.67899i | 0.298844 | − | 0.919747i | ||||
\(17\) | −3.71653 | + | 5.11537i | −0.901391 | + | 1.24066i | 0.0686309 | + | 0.997642i | \(0.478137\pi\) |
−0.970022 | + | 0.243017i | \(0.921863\pi\) | |||||||
\(18\) | −0.140456 | − | 0.432279i | −0.0331058 | − | 0.101889i | ||||
\(19\) | −7.93559 | − | 2.57843i | −1.82055 | − | 0.591532i | −0.999795 | − | 0.0202495i | \(-0.993554\pi\) |
−0.820753 | − | 0.571283i | \(-0.806446\pi\) | |||||||
\(20\) | 1.06645 | − | 3.28220i | 0.238466 | − | 0.733922i | ||||
\(21\) | −0.760862 | + | 2.34169i | −0.166034 | + | 0.510999i | ||||
\(22\) | 0.637032 | + | 0.206984i | 0.135816 | + | 0.0441292i | ||||
\(23\) | 1.02240 | + | 3.14664i | 0.213186 | + | 0.656119i | 0.999277 | + | 0.0380089i | \(0.0121015\pi\) |
−0.786091 | + | 0.618110i | \(0.787898\pi\) | |||||||
\(24\) | −0.854466 | + | 1.17607i | −0.174417 | + | 0.240065i | ||||
\(25\) | −0.604367 | + | 1.86005i | −0.120873 | + | 0.372010i | ||||
\(26\) | −0.0356523 | − | 0.0490712i | −0.00699199 | − | 0.00962365i | ||||
\(27\) | − | 0.153735i | − | 0.0295864i | ||||||
\(28\) | 1.88116 | − | 0.611227i | 0.355506 | − | 0.115511i | ||||
\(29\) | 1.11576 | + | 1.53571i | 0.207192 | + | 0.285175i | 0.899948 | − | 0.435997i | \(-0.143604\pi\) |
−0.692757 | + | 0.721171i | \(0.743604\pi\) | |||||||
\(30\) | −0.374776 | + | 0.515835i | −0.0684244 | + | 0.0941781i | ||||
\(31\) | −0.484807 | − | 0.352233i | −0.0870738 | − | 0.0632628i | 0.543397 | − | 0.839476i | \(-0.317138\pi\) |
−0.630470 | + | 0.776213i | \(0.717138\pi\) | |||||||
\(32\) | 1.75495 | 0.310234 | ||||||||
\(33\) | 8.98971 | + | 6.53141i | 1.56491 | + | 1.13697i | ||||
\(34\) | −0.892516 | − | 0.289996i | −0.153065 | − | 0.0497339i | ||||
\(35\) | 1.65938 | − | 0.539164i | 0.280486 | − | 0.0911354i | ||||
\(36\) | −4.90055 | + | 3.56046i | −0.816759 | + | 0.593410i | ||||
\(37\) | −4.63436 | + | 3.36706i | −0.761884 | + | 0.553541i | −0.899488 | − | 0.436946i | \(-0.856060\pi\) |
0.137604 | + | 0.990487i | \(0.456060\pi\) | |||||||
\(38\) | − | 1.23841i | − | 0.200896i | ||||||
\(39\) | −0.310945 | − | 0.956992i | −0.0497911 | − | 0.153241i | ||||
\(40\) | 1.03013 | 0.162877 | ||||||||
\(41\) | 5.47571 | − | 3.31912i | 0.855163 | − | 0.518360i | ||||
\(42\) | −0.365439 | −0.0563884 | ||||||||
\(43\) | −3.89490 | − | 11.9873i | −0.593967 | − | 1.82804i | −0.559804 | − | 0.828625i | \(-0.689124\pi\) |
−0.0341628 | − | 0.999416i | \(-0.510876\pi\) | |||||||
\(44\) | − | 8.92657i | − | 1.34573i | ||||||
\(45\) | −4.32278 | + | 3.14069i | −0.644403 | + | 0.468186i | ||||
\(46\) | −0.397273 | + | 0.288636i | −0.0585747 | + | 0.0425570i | ||||
\(47\) | −9.00883 | + | 2.92715i | −1.31407 | + | 0.426968i | −0.880455 | − | 0.474129i | \(-0.842763\pi\) |
−0.433617 | + | 0.901097i | \(0.642763\pi\) | |||||||
\(48\) | 9.05841 | + | 2.94326i | 1.30747 | + | 0.424822i | ||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | −0.290275 | −0.0410510 | ||||||||
\(51\) | −12.5951 | − | 9.15085i | −1.76366 | − | 1.28138i | ||||
\(52\) | −0.475135 | + | 0.653967i | −0.0658894 | + | 0.0906889i | ||||
\(53\) | −0.250762 | − | 0.345144i | −0.0344448 | − | 0.0474092i | 0.791447 | − | 0.611237i | \(-0.209328\pi\) |
−0.825892 | + | 0.563828i | \(0.809328\pi\) | |||||||
\(54\) | 0.0217006 | − | 0.00705094i | 0.00295307 | − | 0.000959511i | ||||
\(55\) | − | 7.87414i | − | 1.06175i | ||||||
\(56\) | 0.347033 | + | 0.477650i | 0.0463743 | + | 0.0638287i | ||||
\(57\) | 6.34861 | − | 19.5390i | 0.840894 | − | 2.58801i | ||||
\(58\) | −0.165601 | + | 0.227930i | −0.0217444 | + | 0.0299286i | ||||
\(59\) | 2.03785 | + | 6.27186i | 0.265306 | + | 0.816527i | 0.991623 | + | 0.129167i | \(0.0412303\pi\) |
−0.726317 | + | 0.687360i | \(0.758770\pi\) | |||||||
\(60\) | 8.08144 | + | 2.62582i | 1.04331 | + | 0.338992i | ||||
\(61\) | 4.35730 | − | 13.4104i | 0.557895 | − | 1.71702i | −0.130278 | − | 0.991478i | \(-0.541587\pi\) |
0.688173 | − | 0.725547i | \(-0.258413\pi\) | |||||||
\(62\) | 0.0274842 | − | 0.0845878i | 0.00349050 | − | 0.0107427i | ||||
\(63\) | −2.91255 | − | 0.946345i | −0.366947 | − | 0.119228i | ||||
\(64\) | −2.31026 | − | 7.11025i | −0.288783 | − | 0.888782i | ||||
\(65\) | −0.419117 | + | 0.576865i | −0.0519851 | + | 0.0715513i | ||||
\(66\) | −0.509637 | + | 1.56850i | −0.0627320 | + | 0.193069i | ||||
\(67\) | 2.21422 | + | 3.04761i | 0.270510 | + | 0.372325i | 0.922562 | − | 0.385850i | \(-0.126092\pi\) |
−0.652052 | + | 0.758174i | \(0.726092\pi\) | |||||||
\(68\) | 12.5066i | 1.51665i | ||||||||
\(69\) | −7.74766 | + | 2.51737i | −0.932708 | + | 0.303055i | ||||
\(70\) | 0.152212 | + | 0.209501i | 0.0181928 | + | 0.0250402i | ||||
\(71\) | −2.97773 | + | 4.09850i | −0.353392 | + | 0.486402i | −0.948293 | − | 0.317397i | \(-0.897191\pi\) |
0.594901 | + | 0.803799i | \(0.297191\pi\) | |||||||
\(72\) | −1.46277 | − | 1.06277i | −0.172390 | − | 0.125248i | ||||
\(73\) | 6.69702 | 0.783827 | 0.391914 | − | 0.920002i | \(-0.371813\pi\) | ||||
0.391914 | + | 0.920002i | \(0.371813\pi\) | |||||||
\(74\) | −0.687828 | − | 0.499737i | −0.0799584 | − | 0.0580932i | ||||
\(75\) | −4.57982 | − | 1.48807i | −0.528832 | − | 0.171828i | ||||
\(76\) | −15.6964 | + | 5.10006i | −1.80050 | + | 0.585017i | ||||
\(77\) | 3.65109 | − | 2.65267i | 0.416080 | − | 0.302300i | ||||
\(78\) | 0.120823 | − | 0.0877832i | 0.0136805 | − | 0.00993949i | ||||
\(79\) | − | 7.43419i | − | 0.836411i | −0.908352 | − | 0.418206i | \(-0.862659\pi\) | ||
0.908352 | − | 0.418206i | \(-0.137341\pi\) | |||||||
\(80\) | −2.08566 | − | 6.41899i | −0.233183 | − | 0.717665i | ||||
\(81\) | −8.80879 | −0.978754 | ||||||||
\(82\) | 0.719650 | + | 0.620697i | 0.0794721 | + | 0.0685445i | ||||
\(83\) | −7.24229 | −0.794945 | −0.397473 | − | 0.917614i | \(-0.630113\pi\) | ||||
−0.397473 | + | 0.917614i | \(0.630113\pi\) | |||||||
\(84\) | 1.50496 | + | 4.63180i | 0.164205 | + | 0.505371i | ||||
\(85\) | 11.0321i | 1.19660i | ||||||||
\(86\) | 1.51343 | − | 1.09957i | 0.163197 | − | 0.118570i | ||||
\(87\) | −3.78124 | + | 2.74723i | −0.405391 | + | 0.294534i | ||||
\(88\) | 2.53410 | − | 0.823378i | 0.270136 | − | 0.0877724i | ||||
\(89\) | 13.3884 | + | 4.35014i | 1.41916 | + | 0.461114i | 0.915336 | − | 0.402690i | \(-0.131925\pi\) |
0.503827 | + | 0.863804i | \(0.331925\pi\) | |||||||
\(90\) | −0.641585 | − | 0.466139i | −0.0676290 | − | 0.0491353i | ||||
\(91\) | −0.408675 | −0.0428408 | ||||||||
\(92\) | 5.29442 | + | 3.84662i | 0.551981 | + | 0.401038i | ||||
\(93\) | 0.867268 | − | 1.19369i | 0.0899315 | − | 0.123780i | ||||
\(94\) | −0.826364 | − | 1.13739i | −0.0852329 | − | 0.117313i | ||||
\(95\) | −13.8458 | + | 4.49877i | −1.42055 | + | 0.461564i | ||||
\(96\) | 4.32104i | 0.441014i | ||||||||
\(97\) | −4.83995 | − | 6.66162i | −0.491422 | − | 0.676385i | 0.489227 | − | 0.872156i | \(-0.337279\pi\) |
−0.980649 | + | 0.195772i | \(0.937279\pi\) | |||||||
\(98\) | −0.0458641 | + | 0.141155i | −0.00463298 | + | 0.0142588i | ||||
\(99\) | −8.12364 | + | 11.1812i | −0.816456 | + | 1.12376i | ||||
\(100\) | 1.19542 | + | 3.67913i | 0.119542 | + | 0.367913i | ||||
\(101\) | 10.0720 | + | 3.27260i | 1.00220 | + | 0.325636i | 0.763746 | − | 0.645517i | \(-0.223358\pi\) |
0.238458 | + | 0.971153i | \(0.423358\pi\) | |||||||
\(102\) | 0.714029 | − | 2.19756i | 0.0706994 | − | 0.217590i | ||||
\(103\) | 0.355165 | − | 1.09309i | 0.0349955 | − | 0.107705i | −0.932033 | − | 0.362374i | \(-0.881966\pi\) |
0.967028 | + | 0.254669i | \(0.0819664\pi\) | |||||||
\(104\) | −0.229476 | − | 0.0745612i | −0.0225020 | − | 0.00731133i | ||||
\(105\) | 1.32753 | + | 4.08572i | 0.129554 | + | 0.398725i | ||||
\(106\) | 0.0372179 | − | 0.0512261i | 0.00361493 | − | 0.00497552i | ||||
\(107\) | 4.83935 | − | 14.8940i | 0.467838 | − | 1.43986i | −0.387540 | − | 0.921853i | \(-0.626675\pi\) |
0.855378 | − | 0.518005i | \(-0.173325\pi\) | |||||||
\(108\) | −0.178736 | − | 0.246009i | −0.0171989 | − | 0.0236723i | ||||
\(109\) | 17.4674i | 1.67307i | 0.547910 | + | 0.836537i | \(0.315424\pi\) | ||||
−0.547910 | + | 0.836537i | \(0.684576\pi\) | |||||||
\(110\) | 1.11148 | − | 0.361140i | 0.105975 | − | 0.0344334i | ||||
\(111\) | −8.29038 | − | 11.4107i | −0.786888 | − | 1.08306i | ||||
\(112\) | 2.27374 | − | 3.12953i | 0.214848 | − | 0.295713i | ||||
\(113\) | 0.417663 | + | 0.303450i | 0.0392904 | + | 0.0285461i | 0.607257 | − | 0.794505i | \(-0.292270\pi\) |
−0.567967 | + | 0.823052i | \(0.692270\pi\) | |||||||
\(114\) | 3.04921 | 0.285584 | ||||||||
\(115\) | 4.67021 | + | 3.39311i | 0.435500 | + | 0.316409i | ||||
\(116\) | 3.57091 | + | 1.16026i | 0.331551 | + | 0.107727i | ||||
\(117\) | 1.19029 | − | 0.386748i | 0.110042 | − | 0.0357549i | ||||
\(118\) | −0.791842 | + | 0.575307i | −0.0728949 | + | 0.0529613i | ||||
\(119\) | −5.11537 | + | 3.71653i | −0.468925 | + | 0.340694i | ||||
\(120\) | 2.53638i | 0.231539i | ||||||||
\(121\) | −2.89459 | − | 8.90862i | −0.263144 | − | 0.809875i | ||||
\(122\) | 2.09279 | 0.189472 | ||||||||
\(123\) | 8.17235 | + | 13.4823i | 0.736876 | + | 1.21566i | ||||
\(124\) | −1.18531 | −0.106444 | ||||||||
\(125\) | 3.75030 | + | 11.5422i | 0.335437 | + | 1.03237i | ||||
\(126\) | − | 0.454525i | − | 0.0404923i | ||||||
\(127\) | 0.327794 | − | 0.238156i | 0.0290870 | − | 0.0211329i | −0.573147 | − | 0.819453i | \(-0.694278\pi\) |
0.602234 | + | 0.798320i | \(0.294278\pi\) | |||||||
\(128\) | 3.73726 | − | 2.71528i | 0.330330 | − | 0.239999i | ||||
\(129\) | 29.5151 | − | 9.59003i | 2.59866 | − | 0.844355i | ||||
\(130\) | −0.100650 | − | 0.0327032i | −0.00882759 | − | 0.00286826i | ||||
\(131\) | 0.978821 | + | 0.711155i | 0.0855200 | + | 0.0621339i | 0.629724 | − | 0.776819i | \(-0.283168\pi\) |
−0.544204 | + | 0.838953i | \(0.683168\pi\) | |||||||
\(132\) | 21.9790 | 1.91303 | ||||||||
\(133\) | −6.75041 | − | 4.90446i | −0.585335 | − | 0.425271i | ||||
\(134\) | −0.328633 | + | 0.452324i | −0.0283895 | + | 0.0390748i | ||||
\(135\) | −0.157664 | − | 0.217005i | −0.0135695 | − | 0.0186768i | ||||
\(136\) | −3.55040 | + | 1.15360i | −0.304445 | + | 0.0989201i | ||||
\(137\) | 0.698319i | 0.0596614i | 0.999555 | + | 0.0298307i | \(0.00949682\pi\) | ||||
−0.999555 | + | 0.0298307i | \(0.990503\pi\) | |||||||
\(138\) | −0.710679 | − | 0.978166i | −0.0604970 | − | 0.0832670i | ||||
\(139\) | −1.32991 | + | 4.09304i | −0.112801 | + | 0.347167i | −0.991482 | − | 0.130243i | \(-0.958424\pi\) |
0.878681 | + | 0.477410i | \(0.158424\pi\) | |||||||
\(140\) | 2.02851 | − | 2.79201i | 0.171440 | − | 0.235968i | ||||
\(141\) | −7.20722 | − | 22.1816i | −0.606958 | − | 1.86802i | ||||
\(142\) | −0.715095 | − | 0.232349i | −0.0600095 | − | 0.0194983i | ||||
\(143\) | −0.569935 | + | 1.75408i | −0.0476603 | + | 0.146683i | ||||
\(144\) | −3.66076 | + | 11.2667i | −0.305064 | + | 0.938889i | ||||
\(145\) | 3.14991 | + | 1.02347i | 0.261585 | + | 0.0849943i | ||||
\(146\) | 0.307153 | + | 0.945320i | 0.0254202 | + | 0.0782352i | ||||
\(147\) | −1.44725 | + | 1.99196i | −0.119367 | + | 0.164294i | ||||
\(148\) | −3.50134 | + | 10.7760i | −0.287808 | + | 0.885783i | ||||
\(149\) | −0.136573 | − | 0.187977i | −0.0111885 | − | 0.0153996i | 0.803386 | − | 0.595458i | \(-0.203030\pi\) |
−0.814575 | + | 0.580059i | \(0.803030\pi\) | |||||||
\(150\) | − | 0.714715i | − | 0.0583562i | ||||||
\(151\) | −5.35187 | + | 1.73893i | −0.435529 | + | 0.141512i | −0.518572 | − | 0.855034i | \(-0.673536\pi\) |
0.0830427 | + | 0.996546i | \(0.473536\pi\) | |||||||
\(152\) | −2.89563 | − | 3.98550i | −0.234867 | − | 0.323267i | ||||
\(153\) | 11.3816 | − | 15.6655i | 0.920152 | − | 1.26648i | ||||
\(154\) | 0.541892 | + | 0.393708i | 0.0436669 | + | 0.0317259i | ||||
\(155\) | −1.04556 | −0.0839815 | ||||||||
\(156\) | −1.61020 | − | 1.16988i | −0.128919 | − | 0.0936652i | ||||
\(157\) | −10.6532 | − | 3.46145i | −0.850221 | − | 0.276253i | −0.148682 | − | 0.988885i | \(-0.547503\pi\) |
−0.701538 | + | 0.712632i | \(0.747503\pi\) | |||||||
\(158\) | 1.04937 | − | 0.340962i | 0.0834837 | − | 0.0271255i | ||||
\(159\) | 0.849815 | − | 0.617427i | 0.0673947 | − | 0.0489651i | ||||
\(160\) | 2.47720 | − | 1.79979i | 0.195840 | − | 0.142286i | ||||
\(161\) | 3.30857i | 0.260752i | ||||||||
\(162\) | −0.404007 | − | 1.24341i | −0.0317418 | − | 0.0976912i | ||||
\(163\) | 3.36654 | 0.263688 | 0.131844 | − | 0.991270i | \(-0.457910\pi\) | ||||
0.131844 | + | 0.991270i | \(0.457910\pi\) | |||||||
\(164\) | 4.90342 | − | 11.6775i | 0.382893 | − | 0.911859i | ||||
\(165\) | 19.3877 | 1.50933 | ||||||||
\(166\) | −0.332161 | − | 1.02229i | −0.0257807 | − | 0.0793449i | ||||
\(167\) | − | 6.40260i | − | 0.495448i | −0.968831 | − | 0.247724i | \(-0.920317\pi\) | ||
0.968831 | − | 0.247724i | \(-0.0796826\pi\) | |||||||
\(168\) | −1.17607 | + | 0.854466i | −0.0907359 | + | 0.0659235i | ||||
\(169\) | −10.3821 | + | 7.54304i | −0.798623 | + | 0.580234i | ||||
\(170\) | −1.55724 | + | 0.505977i | −0.119435 | + | 0.0388067i | ||||
\(171\) | 24.3022 | + | 7.89628i | 1.85844 | + | 0.603843i | ||||
\(172\) | −20.1693 | − | 14.6539i | −1.53790 | − | 1.11735i | ||||
\(173\) | 10.5470 | 0.801873 | 0.400937 | − | 0.916106i | \(-0.368685\pi\) | ||||
0.400937 | + | 0.916106i | \(0.368685\pi\) | |||||||
\(174\) | −0.561209 | − | 0.407742i | −0.0425451 | − | 0.0309109i | ||||
\(175\) | −1.14957 | + | 1.58225i | −0.0868996 | + | 0.119607i | ||||
\(176\) | −10.2614 | − | 14.1236i | −0.773479 | − | 1.06460i | ||||
\(177\) | −15.4426 | + | 5.01760i | −1.16074 | + | 0.377146i | ||||
\(178\) | 2.08935i | 0.156604i | ||||||||
\(179\) | 0.471877 | + | 0.649482i | 0.0352697 | + | 0.0485446i | 0.826288 | − | 0.563248i | \(-0.190449\pi\) |
−0.791018 | + | 0.611793i | \(0.790449\pi\) | |||||||
\(180\) | −3.26594 | + | 10.0515i | −0.243429 | + | 0.749197i | ||||
\(181\) | 3.36751 | − | 4.63498i | 0.250305 | − | 0.344515i | −0.665313 | − | 0.746565i | \(-0.731702\pi\) |
0.915618 | + | 0.402049i | \(0.131702\pi\) | |||||||
\(182\) | −0.0187435 | − | 0.0576866i | −0.00138936 | − | 0.00427602i | ||||
\(183\) | 33.0191 | + | 10.7286i | 2.44084 | + | 0.793077i | ||||
\(184\) | −0.603636 | + | 1.85780i | −0.0445006 | + | 0.136959i | ||||
\(185\) | −3.08854 | + | 9.50554i | −0.227074 | + | 0.698861i | ||||
\(186\) | 0.208272 | + | 0.0676718i | 0.0152713 | + | 0.00496193i | ||||
\(187\) | 8.81791 | + | 27.1388i | 0.644830 | + | 1.98458i | ||||
\(188\) | −11.0129 | + | 15.1579i | −0.803197 | + | 1.10551i | ||||
\(189\) | 0.0475069 | − | 0.146211i | 0.00345562 | − | 0.0106353i | ||||
\(190\) | −1.27005 | − | 1.74807i | −0.0921391 | − | 0.126819i | ||||
\(191\) | 16.7463i | 1.21172i | 0.795571 | + | 0.605860i | \(0.207171\pi\) | ||||
−0.795571 | + | 0.605860i | \(0.792829\pi\) | |||||||
\(192\) | 17.5069 | − | 5.68833i | 1.26345 | − | 0.410520i | ||||
\(193\) | 10.3421 | + | 14.2347i | 0.744441 | + | 1.02463i | 0.998351 | + | 0.0574069i | \(0.0182832\pi\) |
−0.253910 | + | 0.967228i | \(0.581717\pi\) | |||||||
\(194\) | 0.718342 | − | 0.988713i | 0.0515739 | − | 0.0709854i | ||||
\(195\) | −1.42036 | − | 1.03195i | −0.101714 | − | 0.0738995i | ||||
\(196\) | 1.97797 | 0.141284 | ||||||||
\(197\) | 9.45257 | + | 6.86770i | 0.673468 | + | 0.489303i | 0.871184 | − | 0.490956i | \(-0.163353\pi\) |
−0.197716 | + | 0.980259i | \(0.563353\pi\) | |||||||
\(198\) | −1.95087 | − | 0.633877i | −0.138642 | − | 0.0450477i | ||||
\(199\) | −5.12674 | + | 1.66578i | −0.363425 | + | 0.118084i | −0.485037 | − | 0.874494i | \(-0.661194\pi\) |
0.121612 | + | 0.992578i | \(0.461194\pi\) | |||||||
\(200\) | −0.934175 | + | 0.678718i | −0.0660562 | + | 0.0479926i | ||||
\(201\) | −7.50383 | + | 5.45185i | −0.529279 | + | 0.384544i | ||||
\(202\) | 1.57181i | 0.110593i | ||||||||
\(203\) | 0.586591 | + | 1.80534i | 0.0411706 | + | 0.126710i | ||||
\(204\) | −30.7938 | −2.15600 | ||||||||
\(205\) | 4.32531 | − | 10.3007i | 0.302093 | − | 0.719434i | ||||
\(206\) | 0.170584 | 0.0118852 | ||||||||
\(207\) | −3.13105 | − | 9.63638i | −0.217623 | − | 0.669775i | ||||
\(208\) | 1.58088i | 0.109615i | ||||||||
\(209\) | −30.4646 | + | 22.1338i | −2.10728 | + | 1.53103i | ||||
\(210\) | −0.515835 | + | 0.374776i | −0.0355960 | + | 0.0258620i | ||||
\(211\) | 12.9454 | − | 4.20622i | 0.891198 | − | 0.289568i | 0.172599 | − | 0.984992i | \(-0.444784\pi\) |
0.718599 | + | 0.695424i | \(0.244784\pi\) | |||||||
\(212\) | −0.802545 | − | 0.260763i | −0.0551190 | − | 0.0179093i | ||||
\(213\) | −10.0913 | − | 7.33178i | −0.691446 | − | 0.502365i | ||||
\(214\) | 2.32432 | 0.158887 | ||||||||
\(215\) | −17.7914 | − | 12.9262i | −1.21336 | − | 0.881560i | ||||
\(216\) | 0.0533513 | − | 0.0734318i | 0.00363010 | − | 0.00499640i | ||||
\(217\) | −0.352233 | − | 0.484807i | −0.0239111 | − | 0.0329108i | ||||
\(218\) | −2.46562 | + | 0.801128i | −0.166993 | + | 0.0542592i | ||||
\(219\) | 16.4894i | 1.11425i | ||||||||
\(220\) | −9.15465 | − | 12.6003i | −0.617206 | − | 0.849512i | ||||
\(221\) | 0.798509 | − | 2.45756i | 0.0537135 | − | 0.165313i | ||||
\(222\) | 1.23045 | − | 1.69357i | 0.0825826 | − | 0.113665i | ||||
\(223\) | −3.71895 | − | 11.4458i | −0.249039 | − | 0.766465i | −0.994946 | − | 0.100414i | \(-0.967983\pi\) |
0.745906 | − | 0.666051i | \(-0.232017\pi\) | |||||||
\(224\) | 1.66906 | + | 0.542309i | 0.111518 | + | 0.0362346i | ||||
\(225\) | 1.85084 | − | 5.69629i | 0.123389 | − | 0.379753i | ||||
\(226\) | −0.0236778 | + | 0.0728727i | −0.00157502 | + | 0.00484742i | ||||
\(227\) | 9.15723 | + | 2.97536i | 0.607787 | + | 0.197482i | 0.596710 | − | 0.802457i | \(-0.296474\pi\) |
0.0110765 | + | 0.999939i | \(0.496474\pi\) | |||||||
\(228\) | −12.5574 | − | 38.6476i | −0.831632 | − | 2.55950i | ||||
\(229\) | −1.49052 | + | 2.05152i | −0.0984962 | + | 0.135568i | −0.855420 | − | 0.517934i | \(-0.826701\pi\) |
0.756924 | + | 0.653503i | \(0.226701\pi\) | |||||||
\(230\) | −0.264760 | + | 0.814847i | −0.0174577 | + | 0.0537294i | ||||
\(231\) | 6.53141 | + | 8.98971i | 0.429735 | + | 0.591480i | ||||
\(232\) | 1.12074i | 0.0735802i | ||||||||
\(233\) | 5.84545 | − | 1.89930i | 0.382948 | − | 0.124427i | −0.111216 | − | 0.993796i | \(-0.535474\pi\) |
0.494163 | + | 0.869369i | \(0.335474\pi\) | |||||||
\(234\) | 0.109183 | + | 0.150277i | 0.00713751 | + | 0.00982394i | ||||
\(235\) | −9.71447 | + | 13.3708i | −0.633702 | + | 0.872216i | ||||
\(236\) | 10.5528 | + | 7.66706i | 0.686929 | + | 0.499083i | ||||
\(237\) | 18.3045 | 1.18900 | ||||||||
\(238\) | −0.759220 | − | 0.551605i | −0.0492129 | − | 0.0357553i | ||||
\(239\) | −13.3331 | − | 4.33218i | −0.862446 | − | 0.280226i | −0.155796 | − | 0.987789i | \(-0.549794\pi\) |
−0.706650 | + | 0.707564i | \(0.749794\pi\) | |||||||
\(240\) | 15.8049 | − | 5.13531i | 1.02020 | − | 0.331483i | ||||
\(241\) | −15.2284 | + | 11.0641i | −0.980949 | + | 0.712701i | −0.957921 | − | 0.287034i | \(-0.907331\pi\) |
−0.0230285 | + | 0.999735i | \(0.507331\pi\) | |||||||
\(242\) | 1.12474 | − | 0.817172i | 0.0723011 | − | 0.0525298i | ||||
\(243\) | − | 22.1502i | − | 1.42094i | ||||||
\(244\) | −8.61862 | − | 26.5254i | −0.551750 | − | 1.69811i | ||||
\(245\) | 1.74477 | 0.111469 | ||||||||
\(246\) | −1.52828 | + | 1.77192i | −0.0974396 | + | 0.112974i | ||||
\(247\) | 3.40997 | 0.216971 | ||||||||
\(248\) | −0.109332 | − | 0.336488i | −0.00694256 | − | 0.0213670i | ||||
\(249\) | − | 17.8320i | − | 1.13006i | ||||||
\(250\) | −1.45724 | + | 1.05875i | −0.0921642 | + | 0.0669612i | ||||
\(251\) | 1.40162 | − | 1.01834i | 0.0884695 | − | 0.0642769i | −0.542671 | − | 0.839945i | \(-0.682587\pi\) |
0.631141 | + | 0.775668i | \(0.282587\pi\) | |||||||
\(252\) | −5.76094 | + | 1.87184i | −0.362905 | + | 0.117915i | ||||
\(253\) | 14.2007 | + | 4.61410i | 0.892793 | + | 0.290086i | ||||
\(254\) | 0.0486510 | + | 0.0353470i | 0.00305263 | + | 0.00221787i | ||||
\(255\) | −27.1632 | −1.70103 | ||||||||
\(256\) | −11.5420 | − | 8.38576i | −0.721375 | − | 0.524110i | ||||
\(257\) | −3.09778 | + | 4.26373i | −0.193234 | + | 0.265964i | −0.894630 | − | 0.446808i | \(-0.852561\pi\) |
0.701396 | + | 0.712772i | \(0.252561\pi\) | |||||||
\(258\) | 2.70737 | + | 3.72637i | 0.168553 | + | 0.231994i | ||||
\(259\) | −5.44801 | + | 1.77017i | −0.338523 | + | 0.109993i | ||||
\(260\) | 1.41038i | 0.0874682i | ||||||||
\(261\) | −3.41695 | − | 4.70303i | −0.211504 | − | 0.291110i | ||||
\(262\) | −0.0554905 | + | 0.170782i | −0.00342821 | + | 0.0105510i | ||||
\(263\) | 9.38596 | − | 12.9187i | 0.578763 | − | 0.796599i | −0.414796 | − | 0.909914i | \(-0.636147\pi\) |
0.993559 | + | 0.113315i | \(0.0361470\pi\) | |||||||
\(264\) | 2.02732 | + | 6.23946i | 0.124773 | + | 0.384012i | ||||
\(265\) | −0.707926 | − | 0.230019i | −0.0434876 | − | 0.0141300i | ||||
\(266\) | 0.382689 | − | 1.17779i | 0.0234642 | − | 0.0722152i | ||||
\(267\) | −10.7109 | + | 32.9649i | −0.655498 | + | 2.01742i | ||||
\(268\) | 7.08644 | + | 2.30252i | 0.432873 | + | 0.140649i | ||||
\(269\) | −7.66906 | − | 23.6030i | −0.467591 | − | 1.43910i | −0.855694 | − | 0.517481i | \(-0.826870\pi\) |
0.388103 | − | 0.921616i | \(-0.373130\pi\) | |||||||
\(270\) | 0.0234003 | − | 0.0322078i | 0.00142410 | − | 0.00196010i | ||||
\(271\) | 9.71436 | − | 29.8977i | 0.590105 | − | 1.81616i | 0.0123832 | − | 0.999923i | \(-0.496058\pi\) |
0.577722 | − | 0.816234i | \(-0.303942\pi\) | |||||||
\(272\) | 14.3767 | + | 19.7879i | 0.871716 | + | 1.19981i | ||||
\(273\) | − | 1.00624i | − | 0.0609005i | ||||||
\(274\) | −0.0985714 | + | 0.0320278i | −0.00595492 | + | 0.00193487i | ||||
\(275\) | 5.18802 | + | 7.14069i | 0.312849 | + | 0.430600i | ||||
\(276\) | −9.47115 | + | 13.0359i | −0.570096 | + | 0.784670i | ||||
\(277\) | 1.96843 | + | 1.43015i | 0.118272 | + | 0.0859293i | 0.645349 | − | 0.763888i | \(-0.276712\pi\) |
−0.527077 | + | 0.849817i | \(0.676712\pi\) | |||||||
\(278\) | −0.638749 | −0.0383096 | ||||||||
\(279\) | 1.48469 | + | 1.07869i | 0.0888861 | + | 0.0645795i | ||||
\(280\) | 0.979709 | + | 0.318327i | 0.0585488 | + | 0.0190237i | ||||
\(281\) | 18.0626 | − | 5.86889i | 1.07752 | − | 0.350109i | 0.284110 | − | 0.958792i | \(-0.408302\pi\) |
0.793414 | + | 0.608683i | \(0.208302\pi\) | |||||||
\(282\) | 2.80049 | − | 2.03467i | 0.166767 | − | 0.121163i | ||||
\(283\) | 9.41737 | − | 6.84212i | 0.559805 | − | 0.406722i | −0.271583 | − | 0.962415i | \(-0.587547\pi\) |
0.831387 | + | 0.555693i | \(0.187547\pi\) | |||||||
\(284\) | 10.0204i | 0.594604i | ||||||||
\(285\) | −11.0769 | − | 34.0911i | −0.656137 | − | 2.01938i | ||||
\(286\) | −0.273737 | −0.0161864 | ||||||||
\(287\) | 6.23338 | − | 1.46458i | 0.367945 | − | 0.0864517i | ||||
\(288\) | −5.37442 | −0.316691 | ||||||||
\(289\) | −7.10108 | − | 21.8549i | −0.417711 | − | 1.28558i | ||||
\(290\) | 0.491566i | 0.0288658i | ||||||||
\(291\) | 16.4022 | − | 11.9169i | 0.961516 | − | 0.698583i | ||||
\(292\) | 10.7167 | − | 7.78611i | 0.627145 | − | 0.455648i | ||||
\(293\) | −26.2187 | + | 8.51898i | −1.53171 | + | 0.497684i | −0.949076 | − | 0.315048i | \(-0.897980\pi\) |
−0.582638 | + | 0.812732i | \(0.697980\pi\) | |||||||
\(294\) | −0.347553 | − | 0.112927i | −0.0202697 | − | 0.00658602i | ||||
\(295\) | 9.30864 | + | 6.76312i | 0.541970 | + | 0.393764i | ||||
\(296\) | −3.38208 | −0.196580 | ||||||||
\(297\) | −0.561301 | − | 0.407809i | −0.0325700 | − | 0.0236635i | ||||
\(298\) | 0.0202701 | − | 0.0278994i | 0.00117421 | − | 0.00161617i | ||||
\(299\) | −0.794762 | − | 1.09390i | −0.0459623 | − | 0.0632617i | ||||
\(300\) | −9.05875 | + | 2.94337i | −0.523007 | + | 0.169935i | ||||
\(301\) | − | 12.6042i | − | 0.726492i | ||||||
\(302\) | −0.490918 | − | 0.675691i | −0.0282492 | − | 0.0388816i | ||||
\(303\) | −8.05781 | + | 24.7994i | −0.462909 | + | 1.42469i | ||||
\(304\) | −18.9720 | + | 26.1127i | −1.08812 | + | 1.49767i | ||||
\(305\) | −7.60249 | − | 23.3981i | −0.435317 | − | 1.33977i | ||||
\(306\) | 2.73328 | + | 0.888095i | 0.156251 | + | 0.0507690i | ||||
\(307\) | 0.954824 | − | 2.93865i | 0.0544947 | − | 0.167717i | −0.920105 | − | 0.391672i | \(-0.871897\pi\) |
0.974600 | + | 0.223955i | \(0.0718968\pi\) | |||||||
\(308\) | 2.75846 | − | 8.48967i | 0.157178 | − | 0.483744i | ||||
\(309\) | 2.69140 | + | 0.874488i | 0.153108 | + | 0.0497479i | ||||
\(310\) | −0.0479537 | − | 0.147586i | −0.00272359 | − | 0.00838234i | ||||
\(311\) | −2.90953 | + | 4.00463i | −0.164985 | + | 0.227082i | −0.883502 | − | 0.468427i | \(-0.844821\pi\) |
0.718518 | + | 0.695509i | \(0.244821\pi\) | |||||||
\(312\) | 0.183585 | − | 0.565016i | 0.0103934 | − | 0.0319877i | ||||
\(313\) | −2.48882 | − | 3.42557i | −0.140676 | − | 0.193624i | 0.732865 | − | 0.680374i | \(-0.238183\pi\) |
−0.873542 | + | 0.486749i | \(0.838183\pi\) | |||||||
\(314\) | − | 1.66252i | − | 0.0938212i | ||||||
\(315\) | −5.08174 | + | 1.65116i | −0.286323 | + | 0.0930321i | ||||
\(316\) | −8.64315 | − | 11.8963i | −0.486215 | − | 0.669218i | ||||
\(317\) | 15.7177 | − | 21.6336i | 0.882796 | − | 1.21506i | −0.0928426 | − | 0.995681i | \(-0.529595\pi\) |
0.975639 | − | 0.219384i | \(-0.0704047\pi\) | |||||||
\(318\) | 0.126129 | + | 0.0916381i | 0.00707296 | + | 0.00513881i | ||||
\(319\) | 8.56677 | 0.479647 | ||||||||
\(320\) | −10.5530 | − | 7.66719i | −0.589929 | − | 0.428609i | ||||
\(321\) | 36.6720 | + | 11.9155i | 2.04683 | + | 0.665057i | ||||
\(322\) | −0.467022 | + | 0.151745i | −0.0260261 | + | 0.00845640i | ||||
\(323\) | 42.6825 | − | 31.0106i | 2.37492 | − | 1.72548i | ||||
\(324\) | −14.0959 | + | 10.2413i | −0.783107 | + | 0.568961i | ||||
\(325\) | − | 0.799276i | − | 0.0443358i | ||||||
\(326\) | 0.154403 | + | 0.475205i | 0.00855162 | + | 0.0263192i | ||||
\(327\) | −43.0083 | −2.37836 | ||||||||
\(328\) | 3.76732 | + | 0.314875i | 0.208015 | + | 0.0173861i | ||||
\(329\) | −9.47244 | −0.522233 | ||||||||
\(330\) | 0.889200 | + | 2.73668i | 0.0489489 | + | 0.150649i | ||||
\(331\) | 33.2092i | 1.82534i | 0.408696 | + | 0.912671i | \(0.365984\pi\) | ||||
−0.408696 | + | 0.912671i | \(0.634016\pi\) | |||||||
\(332\) | −11.5892 | + | 8.42006i | −0.636041 | + | 0.462111i | ||||
\(333\) | 14.1924 | − | 10.3114i | 0.777741 | − | 0.565062i | ||||
\(334\) | 0.903760 | − | 0.293649i | 0.0494515 | − | 0.0160678i | ||||
\(335\) | 6.25095 | + | 2.03106i | 0.341526 | + | 0.110969i | ||||
\(336\) | 7.70554 | + | 5.59840i | 0.420372 | + | 0.305418i | ||||
\(337\) | −23.9198 | −1.30299 | −0.651496 | − | 0.758652i | \(-0.725858\pi\) | ||||
−0.651496 | + | 0.758652i | \(0.725858\pi\) | |||||||
\(338\) | −1.54091 | − | 1.11953i | −0.0838142 | − | 0.0608946i | ||||
\(339\) | −0.747154 | + | 1.02837i | −0.0405798 | + | 0.0558534i | ||||
\(340\) | 12.8262 | + | 17.6537i | 0.695596 | + | 0.957406i | ||||
\(341\) | −2.57206 | + | 0.835714i | −0.139285 | + | 0.0452564i | ||||
\(342\) | 3.79254i | 0.205077i | ||||||||
\(343\) | 0.587785 | + | 0.809017i | 0.0317374 | + | 0.0436828i | ||||
\(344\) | 2.29958 | − | 7.07738i | 0.123985 | − | 0.381587i | ||||
\(345\) | −8.35452 | + | 11.4990i | −0.449792 | + | 0.619086i | ||||
\(346\) | 0.483729 | + | 1.48876i | 0.0260054 | + | 0.0800364i | ||||
\(347\) | −28.4743 | − | 9.25186i | −1.52858 | − | 0.496666i | −0.580381 | − | 0.814345i | \(-0.697097\pi\) |
−0.948198 | + | 0.317679i | \(0.897097\pi\) | |||||||
\(348\) | −2.85679 | + | 8.79230i | −0.153140 | + | 0.471317i | ||||
\(349\) | −5.30629 | + | 16.3311i | −0.284039 | + | 0.874183i | 0.702646 | + | 0.711540i | \(0.252002\pi\) |
−0.986685 | + | 0.162643i | \(0.947998\pi\) | |||||||
\(350\) | −0.276068 | − | 0.0896998i | −0.0147564 | − | 0.00479465i | ||||
\(351\) | 0.0194149 | + | 0.0597528i | 0.00103629 | + | 0.00318937i | ||||
\(352\) | 4.65530 | − | 6.40747i | 0.248128 | − | 0.341519i | ||||
\(353\) | −6.90952 | + | 21.2653i | −0.367757 | + | 1.13184i | 0.580480 | + | 0.814275i | \(0.302865\pi\) |
−0.948237 | + | 0.317564i | \(0.897135\pi\) | |||||||
\(354\) | −1.41652 | − | 1.94967i | −0.0752872 | − | 0.103624i | ||||
\(355\) | 8.83905i | 0.469128i | ||||||||
\(356\) | 26.4818 | − | 8.60446i | 1.40353 | − | 0.456035i | ||||
\(357\) | −9.15085 | − | 12.5951i | −0.484314 | − | 0.666602i | ||||
\(358\) | −0.0700356 | + | 0.0963958i | −0.00370150 | + | 0.00509467i | ||||
\(359\) | −22.6526 | − | 16.4581i | −1.19556 | − | 0.868623i | −0.201717 | − | 0.979444i | \(-0.564652\pi\) |
−0.993840 | + | 0.110821i | \(0.964652\pi\) | |||||||
\(360\) | −3.15470 | −0.166267 | ||||||||
\(361\) | 40.9539 | + | 29.7548i | 2.15547 | + | 1.56604i | ||||
\(362\) | 0.808700 | + | 0.262762i | 0.0425043 | + | 0.0138105i | ||||
\(363\) | 21.9348 | − | 7.12706i | 1.15128 | − | 0.374074i | ||||
\(364\) | −0.653967 | + | 0.475135i | −0.0342772 | + | 0.0249038i | ||||
\(365\) | 9.45318 | − | 6.86814i | 0.494802 | − | 0.359495i | ||||
\(366\) | 5.15287i | 0.269345i | ||||||||
\(367\) | −3.22819 | − | 9.93535i | −0.168510 | − | 0.518621i | 0.830768 | − | 0.556619i | \(-0.187902\pi\) |
−0.999278 | + | 0.0379984i | \(0.987902\pi\) | |||||||
\(368\) | 12.7986 | 0.667173 | ||||||||
\(369\) | −16.7690 | + | 10.1646i | −0.872961 | + | 0.529148i | ||||
\(370\) | −1.48341 | −0.0771188 | ||||||||
\(371\) | −0.131833 | − | 0.405741i | −0.00684445 | − | 0.0210650i | ||||
\(372\) | − | 2.91847i | − | 0.151315i | ||||||
\(373\) | −0.953000 | + | 0.692395i | −0.0493445 | + | 0.0358509i | −0.612184 | − | 0.790715i | \(-0.709709\pi\) |
0.562840 | + | 0.826566i | \(0.309709\pi\) | |||||||
\(374\) | −3.42635 | + | 2.48939i | −0.177172 | + | 0.128723i | ||||
\(375\) | −28.4193 | + | 9.23400i | −1.46757 | + | 0.476842i | ||||
\(376\) | −5.31889 | − | 1.72821i | −0.274301 | − | 0.0891257i | ||||
\(377\) | −0.627608 | − | 0.455984i | −0.0323235 | − | 0.0234844i | ||||
\(378\) | 0.0228173 | 0.00117360 | ||||||||
\(379\) | 16.6597 | + | 12.1040i | 0.855754 | + | 0.621742i | 0.926726 | − | 0.375737i | \(-0.122610\pi\) |
−0.0709727 | + | 0.997478i | \(0.522610\pi\) | |||||||
\(380\) | −16.9258 | + | 23.2964i | −0.868277 | + | 1.19508i | ||||
\(381\) | 0.586388 | + | 0.807095i | 0.0300416 | + | 0.0413487i | ||||
\(382\) | −2.36383 | + | 0.768055i | −0.120944 | + | 0.0392971i | ||||
\(383\) | 23.2667i | 1.18887i | 0.804143 | + | 0.594436i | \(0.202625\pi\) | ||||
−0.804143 | + | 0.594436i | \(0.797375\pi\) | |||||||
\(384\) | 6.68556 | + | 9.20189i | 0.341171 | + | 0.469582i | ||||
\(385\) | 2.43324 | − | 7.48875i | 0.124009 | − | 0.381662i | ||||
\(386\) | −1.53497 | + | 2.11270i | −0.0781278 | + | 0.107534i | ||||
\(387\) | 11.9279 | + | 36.7103i | 0.606329 | + | 1.86609i | ||||
\(388\) | −15.4899 | − | 5.03297i | −0.786380 | − | 0.255510i | ||||
\(389\) | 2.94063 | − | 9.05033i | 0.149096 | − | 0.458870i | −0.848419 | − | 0.529325i | \(-0.822445\pi\) |
0.997515 | + | 0.0704553i | \(0.0224452\pi\) | |||||||
\(390\) | 0.0805218 | − | 0.247821i | 0.00407738 | − | 0.0125489i | ||||
\(391\) | −19.8960 | − | 6.46460i | −1.00618 | − | 0.326929i | ||||
\(392\) | 0.182446 | + | 0.561512i | 0.00921492 | + | 0.0283606i | ||||
\(393\) | −1.75101 | + | 2.41006i | −0.0883266 | + | 0.121571i | ||||
\(394\) | −0.535877 | + | 1.64926i | −0.0269971 | + | 0.0830886i | ||||
\(395\) | −7.62414 | − | 10.4937i | −0.383612 | − | 0.527996i | ||||
\(396\) | 27.3371i | 1.37374i | ||||||||
\(397\) | 21.5764 | − | 7.01059i | 1.08289 | − | 0.351851i | 0.287393 | − | 0.957813i | \(-0.407212\pi\) |
0.795494 | + | 0.605962i | \(0.207212\pi\) | |||||||
\(398\) | −0.470267 | − | 0.647266i | −0.0235723 | − | 0.0324445i | ||||
\(399\) | 12.0758 | − | 16.6209i | 0.604545 | − | 0.832085i | ||||
\(400\) | 6.12065 | + | 4.44692i | 0.306033 | + | 0.222346i | ||||
\(401\) | 16.7973 | 0.838815 | 0.419407 | − | 0.907798i | \(-0.362238\pi\) | ||||
0.419407 | + | 0.907798i | \(0.362238\pi\) | |||||||
\(402\) | −1.11371 | − | 0.809160i | −0.0555470 | − | 0.0403572i | ||||
\(403\) | 0.232914 | + | 0.0756783i | 0.0116023 | + | 0.00376980i | ||||
\(404\) | 19.9222 | − | 6.47311i | 0.991166 | − | 0.322049i | ||||
\(405\) | −12.4340 | + | 9.03386i | −0.617852 | + | 0.448896i | ||||
\(406\) | −0.227930 | + | 0.165601i | −0.0113120 | + | 0.00821862i | ||||
\(407\) | 25.8521i | 1.28144i | ||||||||
\(408\) | −2.84039 | − | 8.74181i | −0.140620 | − | 0.432784i | ||||
\(409\) | 31.7140 | 1.56815 | 0.784077 | − | 0.620663i | \(-0.213137\pi\) | ||||
0.784077 | + | 0.620663i | \(0.213137\pi\) | |||||||
\(410\) | 1.65238 | + | 0.138107i | 0.0816051 | + | 0.00682061i | ||||
\(411\) | −1.71940 | −0.0848119 | ||||||||
\(412\) | −0.702506 | − | 2.16209i | −0.0346100 | − | 0.106519i | ||||
\(413\) | 6.59462i | 0.324500i | ||||||||
\(414\) | 1.21662 | − | 0.883928i | 0.0597938 | − | 0.0434427i | ||||
\(415\) | −10.2229 | + | 7.42734i | −0.501820 | + | 0.364594i | ||||
\(416\) | −0.682102 | + | 0.221628i | −0.0334428 | + | 0.0108662i | ||||
\(417\) | −10.0779 | − | 3.27450i | −0.493516 | − | 0.160353i | ||||
\(418\) | −4.52153 | − | 3.28508i | −0.221155 | − | 0.160679i | ||||
\(419\) | −4.25477 | −0.207859 | −0.103930 | − | 0.994585i | \(-0.533142\pi\) | ||||
−0.103930 | + | 0.994585i | \(0.533142\pi\) | |||||||
\(420\) | 6.87448 | + | 4.99460i | 0.335440 | + | 0.243712i | ||||
\(421\) | 10.6519 | − | 14.6611i | 0.519144 | − | 0.714540i | −0.466284 | − | 0.884635i | \(-0.654407\pi\) |
0.985428 | + | 0.170095i | \(0.0544074\pi\) | |||||||
\(422\) | 1.18746 | + | 1.63440i | 0.0578046 | + | 0.0795612i | ||||
\(423\) | 27.5890 | − | 8.96420i | 1.34142 | − | 0.435854i | ||||
\(424\) | − | 0.251881i | − | 0.0122324i | ||||||
\(425\) | −7.26869 | − | 10.0045i | −0.352583 | − | 0.485289i | ||||
\(426\) | 0.572089 | − | 1.76071i | 0.0277178 | − | 0.0853066i | ||||
\(427\) | 8.28808 | − | 11.4076i | 0.401088 | − | 0.552050i | ||||
\(428\) | −9.57211 | − | 29.4599i | −0.462685 | − | 1.42400i | ||||
\(429\) | −4.31889 | − | 1.40329i | −0.208518 | − | 0.0677517i | ||||
\(430\) | 1.00862 | − | 3.10420i | 0.0486397 | − | 0.149698i | ||||
\(431\) | −2.85803 | + | 8.79612i | −0.137667 | + | 0.423694i | −0.995995 | − | 0.0894060i | \(-0.971503\pi\) |
0.858329 | + | 0.513100i | \(0.171503\pi\) | |||||||
\(432\) | −0.565591 | − | 0.183772i | −0.0272120 | − | 0.00884171i | ||||
\(433\) | −0.870429 | − | 2.67890i | −0.0418301 | − | 0.128740i | 0.927961 | − | 0.372678i | \(-0.121561\pi\) |
−0.969791 | + | 0.243938i | \(0.921561\pi\) | |||||||
\(434\) | 0.0522781 | − | 0.0719547i | 0.00250943 | − | 0.00345394i | ||||
\(435\) | −2.51998 | + | 7.75570i | −0.120824 | + | 0.371858i | ||||
\(436\) | 20.3080 | + | 27.9516i | 0.972577 | + | 1.33864i | ||||
\(437\) | − | 27.6066i | − | 1.32060i | ||||||
\(438\) | −2.32757 | + | 0.756273i | −0.111216 | + | 0.0361361i | ||||
\(439\) | 12.4389 | + | 17.1206i | 0.593674 | + | 0.817122i | 0.995111 | − | 0.0987644i | \(-0.0314890\pi\) |
−0.401437 | + | 0.915887i | \(0.631489\pi\) | |||||||
\(440\) | 2.73259 | − | 3.76108i | 0.130271 | − | 0.179303i | ||||
\(441\) | −2.47756 | − | 1.80006i | −0.117979 | − | 0.0857170i | ||||
\(442\) | 0.383520 | 0.0182422 | ||||||||
\(443\) | 29.0303 | + | 21.0917i | 1.37927 | + | 1.00210i | 0.996948 | + | 0.0780683i | \(0.0248752\pi\) |
0.382321 | + | 0.924029i | \(0.375125\pi\) | |||||||
\(444\) | −26.5327 | − | 8.62101i | −1.25919 | − | 0.409135i | ||||
\(445\) | 23.3596 | − | 7.59000i | 1.10735 | − | 0.359801i | ||||
\(446\) | 1.44506 | − | 1.04990i | 0.0684257 | − | 0.0497142i | ||||
\(447\) | 0.462836 | − | 0.336270i | 0.0218914 | − | 0.0159050i | ||||
\(448\) | − | 7.47616i | − | 0.353215i | ||||||
\(449\) | 11.1919 | + | 34.4450i | 0.528177 | + | 1.62556i | 0.757947 | + | 0.652317i | \(0.226203\pi\) |
−0.229770 | + | 0.973245i | \(0.573797\pi\) | |||||||
\(450\) | 0.888948 | 0.0419054 | ||||||||
\(451\) | 2.40686 | − | 28.7968i | 0.113334 | − | 1.35599i | ||||
\(452\) | 1.02115 | 0.0480307 | ||||||||
\(453\) | −4.28160 | − | 13.1774i | −0.201167 | − | 0.619128i | ||||
\(454\) | 1.42905i | 0.0670688i | ||||||||
\(455\) | −0.576865 | + | 0.419117i | −0.0270439 | + | 0.0196485i | ||||
\(456\) | 9.81310 | − | 7.12964i | 0.459541 | − | 0.333876i | ||||
\(457\) | 19.8413 | − | 6.44683i | 0.928137 | − | 0.301570i | 0.194336 | − | 0.980935i | \(-0.437745\pi\) |
0.733800 | + | 0.679365i | \(0.237745\pi\) | |||||||
\(458\) | −0.357944 | − | 0.116303i | −0.0167256 | − | 0.00543449i | ||||
\(459\) | 0.786413 | + | 0.571363i | 0.0367066 | + | 0.0266689i | ||||
\(460\) | 11.4182 | 0.532378 | ||||||||
\(461\) | 25.3406 | + | 18.4110i | 1.18023 | + | 0.857486i | 0.992197 | − | 0.124677i | \(-0.0397893\pi\) |
0.188031 | + | 0.982163i | \(0.439789\pi\) | |||||||
\(462\) | −0.969387 | + | 1.33425i | −0.0451000 | + | 0.0620748i | ||||
\(463\) | −13.8032 | − | 18.9985i | −0.641491 | − | 0.882936i | 0.357204 | − | 0.934027i | \(-0.383730\pi\) |
−0.998694 | + | 0.0510906i | \(0.983730\pi\) | |||||||
\(464\) | 6.98362 | − | 2.26912i | 0.324207 | − | 0.105341i | ||||
\(465\) | − | 2.57438i | − | 0.119384i | ||||||
\(466\) | 0.536192 | + | 0.738005i | 0.0248386 | + | 0.0341874i | ||||
\(467\) | −5.06354 | + | 15.5840i | −0.234313 | + | 0.721140i | 0.762899 | + | 0.646517i | \(0.223775\pi\) |
−0.997212 | + | 0.0746226i | \(0.976225\pi\) | |||||||
\(468\) | 1.45507 | − | 2.00273i | 0.0672607 | − | 0.0925764i | ||||
\(469\) | 1.16408 | + | 3.58268i | 0.0537523 | + | 0.165433i | ||||
\(470\) | −2.33291 | − | 0.758008i | −0.107609 | − | 0.0349643i | ||||
\(471\) | 8.52278 | − | 26.2304i | 0.392709 | − | 1.20863i | ||||
\(472\) | −1.20316 | + | 3.70296i | −0.0553801 | + | 0.170442i | ||||
\(473\) | −54.0984 | − | 17.5776i | −2.48745 | − | 0.808221i | ||||
\(474\) | 0.839518 | + | 2.58377i | 0.0385603 | + | 0.118677i | ||||
\(475\) | 9.59201 | − | 13.2023i | 0.440112 | − | 0.605762i | ||||
\(476\) | −3.86475 | + | 11.8945i | −0.177141 | + | 0.545183i | ||||
\(477\) | 0.767943 | + | 1.05698i | 0.0351617 | + | 0.0483959i | ||||
\(478\) | − | 2.08073i | − | 0.0951702i | ||||||
\(479\) | −29.7738 | + | 9.67409i | −1.36040 | + | 0.442020i | −0.896176 | − | 0.443698i | \(-0.853666\pi\) |
−0.464223 | + | 0.885718i | \(0.653666\pi\) | |||||||
\(480\) | 4.43145 | + | 6.09936i | 0.202267 | + | 0.278397i | ||||
\(481\) | 1.37603 | − | 1.89395i | 0.0627417 | − | 0.0863565i | ||||
\(482\) | −2.26019 | − | 1.64213i | −0.102949 | − | 0.0747968i | ||||
\(483\) | −8.14637 | −0.370673 | ||||||||
\(484\) | −14.9893 | − | 10.8904i | −0.681333 | − | 0.495017i | ||||
\(485\) | −13.6637 | − | 4.43959i | −0.620434 | − | 0.201591i | ||||
\(486\) | 3.12662 | − | 1.01590i | 0.141826 | − | 0.0460822i | ||||
\(487\) | −26.0489 | + | 18.9256i | −1.18039 | + | 0.857602i | −0.992215 | − | 0.124534i | \(-0.960256\pi\) |
−0.188172 | + | 0.982136i | \(0.560256\pi\) | |||||||
\(488\) | 6.73512 | − | 4.89335i | 0.304884 | − | 0.221511i | ||||
\(489\) | 8.28910i | 0.374846i | ||||||||
\(490\) | 0.0800224 | + | 0.246284i | 0.00361504 | + | 0.0111260i | ||||
\(491\) | −7.75796 | −0.350112 | −0.175056 | − | 0.984558i | \(-0.556011\pi\) | ||||
−0.175056 | + | 0.984558i | \(0.556011\pi\) | |||||||
\(492\) | 28.7523 | + | 12.0732i | 1.29626 | + | 0.544302i | ||||
\(493\) | −12.0025 | −0.540566 | ||||||||
\(494\) | 0.156395 | + | 0.481336i | 0.00703656 | + | 0.0216563i | ||||
\(495\) | 24.1141i | 1.08385i | ||||||||
\(496\) | −1.87538 | + | 1.36255i | −0.0842072 | + | 0.0611801i | ||||
\(497\) | −4.09850 | + | 2.97773i | −0.183843 | + | 0.133570i | ||||
\(498\) | 2.51708 | − | 0.817849i | 0.112793 | − | 0.0366487i | ||||
\(499\) | 21.5054 | + | 6.98754i | 0.962716 | + | 0.312805i | 0.747872 | − | 0.663843i | \(-0.231076\pi\) |
0.214844 | + | 0.976648i | \(0.431076\pi\) | |||||||
\(500\) | 19.4206 | + | 14.1099i | 0.868514 | + | 0.631012i | ||||
\(501\) | 15.7645 | 0.704305 | ||||||||
\(502\) | 0.208028 | + | 0.151141i | 0.00928473 | + | 0.00674575i | ||||
\(503\) | 6.94214 | − | 9.55504i | 0.309535 | − | 0.426038i | −0.625701 | − | 0.780063i | \(-0.715187\pi\) |
0.935236 | + | 0.354025i | \(0.115187\pi\) | |||||||
\(504\) | −1.06277 | − | 1.46277i | −0.0473394 | − | 0.0651571i | ||||
\(505\) | 17.5734 | − | 5.70994i | 0.782006 | − | 0.254089i | ||||
\(506\) | 2.21613i | 0.0985191i | ||||||||
\(507\) | −18.5725 | − | 25.5628i | −0.824833 | − | 1.13529i | ||||
\(508\) | 0.247654 | − | 0.762201i | 0.0109879 | − | 0.0338172i | ||||
\(509\) | 1.89379 | − | 2.60658i | 0.0839408 | − | 0.115535i | −0.764982 | − | 0.644052i | \(-0.777252\pi\) |
0.848922 | + | 0.528518i | \(0.177252\pi\) | |||||||
\(510\) | −1.24582 | − | 3.83423i | −0.0551657 | − | 0.169783i | ||||
\(511\) | 6.36925 | + | 2.06949i | 0.281759 | + | 0.0915490i | ||||
\(512\) | 3.50934 | − | 10.8006i | 0.155092 | − | 0.477325i | ||||
\(513\) | −0.396396 | + | 1.21998i | −0.0175013 | + | 0.0538635i | ||||
\(514\) | −0.743925 | − | 0.241716i | −0.0328131 | − | 0.0106616i | ||||
\(515\) | −0.619682 | − | 1.90718i | −0.0273064 | − | 0.0840406i | ||||
\(516\) | 36.0808 | − | 49.6610i | 1.58837 | − | 2.18620i | ||||
\(517\) | −13.2102 | + | 40.6568i | −0.580983 | + | 1.78808i | ||||
\(518\) | −0.499737 | − | 0.687828i | −0.0219572 | − | 0.0302214i | ||||
\(519\) | 25.9688i | 1.13991i | ||||||||
\(520\) | −0.400383 | + | 0.130092i | −0.0175579 | + | 0.00570492i | ||||
\(521\) | 1.92886 | + | 2.65485i | 0.0845049 | + | 0.116311i | 0.849177 | − | 0.528109i | \(-0.177099\pi\) |
−0.764672 | + | 0.644420i | \(0.777099\pi\) | |||||||
\(522\) | 0.507142 | − | 0.698021i | 0.0221970 | − | 0.0305515i | ||||
\(523\) | −22.4531 | − | 16.3131i | −0.981805 | − | 0.713323i | −0.0236939 | − | 0.999719i | \(-0.507543\pi\) |
−0.958111 | + | 0.286396i | \(0.907543\pi\) | |||||||
\(524\) | 2.39313 | 0.104544 | ||||||||
\(525\) | −3.89583 | − | 2.83048i | −0.170028 | − | 0.123532i | ||||
\(526\) | 2.25402 | + | 0.732374i | 0.0982798 | + | 0.0319330i | ||||
\(527\) | 3.60360 | − | 1.17088i | 0.156975 | − | 0.0510043i | ||||
\(528\) | 34.7750 | − | 25.2655i | 1.51339 | − | 1.09954i | ||||
\(529\) | 9.75137 | − | 7.08479i | 0.423973 | − | 0.308034i | ||||
\(530\) | − | 0.110477i | − | 0.00479882i | ||||||
\(531\) | −6.24079 | − | 19.2072i | −0.270827 | − | 0.833521i | ||||
\(532\) | −16.5041 | −0.715545 | ||||||||
\(533\) | −1.70910 | + | 1.98157i | −0.0740293 | + | 0.0858312i | ||||
\(534\) | −5.14441 | −0.222620 | ||||||||
\(535\) | −8.44357 | − | 25.9866i | −0.365047 | − | 1.12350i | ||||
\(536\) | 2.22410i | 0.0960664i | ||||||||
\(537\) | −1.59916 | + | 1.16186i | −0.0690087 | + | 0.0501378i | ||||
\(538\) | 2.97995 | − | 2.16506i | 0.128475 | − | 0.0933422i | ||||
\(539\) | 4.29211 | − | 1.39459i | 0.184874 | − | 0.0600693i | ||||
\(540\) | −0.504590 | − | 0.163951i | −0.0217141 | − | 0.00705534i | ||||
\(541\) | 22.0942 | + | 16.0524i | 0.949905 | + | 0.690146i | 0.950784 | − | 0.309853i | \(-0.100280\pi\) |
−0.000879402 | 1.00000i | \(0.500280\pi\) | ||||||||
\(542\) | 4.66576 | 0.200412 | ||||||||
\(543\) | 11.4123 | + | 8.29149i | 0.489747 | + | 0.355822i | ||||
\(544\) | −6.52232 | + | 8.97721i | −0.279642 | + | 0.384895i | ||||
\(545\) | 17.9137 | + | 24.6561i | 0.767340 | + | 1.05615i | ||||
\(546\) | 0.142036 | − | 0.0461503i | 0.00607859 | − | 0.00197505i | ||||
\(547\) | 15.7693i | 0.674248i | 0.941460 | + | 0.337124i | \(0.109454\pi\) | ||||
−0.941460 | + | 0.337124i | \(0.890546\pi\) | |||||||
\(548\) | 0.811882 | + | 1.11746i | 0.0346819 | + | 0.0477355i | ||||
\(549\) | −13.3440 | + | 41.0685i | −0.569506 | + | 1.75276i | ||||
\(550\) | −0.770002 | + | 1.05982i | −0.0328330 | + | 0.0451908i | ||||
\(551\) | −4.89449 | − | 15.0637i | −0.208512 | − | 0.641735i | ||||
\(552\) | −4.57428 | − | 1.48627i | −0.194694 | − | 0.0632600i | ||||
\(553\) | 2.29729 | − | 7.07033i | 0.0976907 | − | 0.300661i | ||||
\(554\) | −0.111593 | + | 0.343447i | −0.00474112 | + | 0.0145917i | ||||
\(555\) | −23.4046 | − | 7.60460i | −0.993468 | − | 0.322797i | ||||
\(556\) | 2.63052 | + | 8.09592i | 0.111559 | + | 0.343343i | ||||
\(557\) | 6.97882 | − | 9.60553i | 0.295702 | − | 0.406999i | −0.635154 | − | 0.772386i | \(-0.719063\pi\) |
0.930856 | + | 0.365387i | \(0.119063\pi\) | |||||||
\(558\) | −0.0841688 | + | 0.259045i | −0.00356315 | + | 0.0109662i | ||||
\(559\) | 3.02769 | + | 4.16725i | 0.128057 | + | 0.176256i | ||||
\(560\) | − | 6.74933i | − | 0.285211i | ||||||
\(561\) | −66.8211 | + | 21.7115i | −2.82119 | + | 0.916660i | ||||
\(562\) | 1.65685 | + | 2.28046i | 0.0698900 | + | 0.0961953i | ||||
\(563\) | 18.8782 | − | 25.9836i | 0.795620 | − | 1.09508i | −0.197766 | − | 0.980249i | \(-0.563369\pi\) |
0.993385 | − | 0.114827i | \(-0.0366314\pi\) | |||||||
\(564\) | −37.3219 | − | 27.1159i | −1.57153 | − | 1.14179i | ||||
\(565\) | 0.900755 | 0.0378950 | ||||||||
\(566\) | 1.39772 | + | 1.01550i | 0.0587506 | + | 0.0426848i | ||||
\(567\) | −8.37765 | − | 2.72206i | −0.351828 | − | 0.114316i | ||||
\(568\) | −2.84463 | + | 0.924276i | −0.119358 | + | 0.0387818i | ||||
\(569\) | −29.7357 | + | 21.6043i | −1.24659 | + | 0.905698i | −0.998019 | − | 0.0629162i | \(-0.979960\pi\) |
−0.248568 | + | 0.968614i | \(0.579960\pi\) | |||||||
\(570\) | 4.30411 | − | 3.12712i | 0.180279 | − | 0.130981i | ||||
\(571\) | 9.03659i | 0.378170i | 0.981961 | + | 0.189085i | \(0.0605521\pi\) | ||||
−0.981961 | + | 0.189085i | \(0.939448\pi\) | |||||||
\(572\) | 1.12731 | + | 3.46952i | 0.0471354 | + | 0.145068i | ||||
\(573\) | −41.2328 | −1.72252 | ||||||||
\(574\) | 0.492622 | + | 0.812702i | 0.0205616 | + | 0.0339215i | ||||
\(575\) | −6.47081 | −0.269852 | ||||||||
\(576\) | 7.07503 | + | 21.7747i | 0.294793 | + | 0.907280i | ||||
\(577\) | 10.2230i | 0.425588i | 0.977097 | + | 0.212794i | \(0.0682564\pi\) | ||||
−0.977097 | + | 0.212794i | \(0.931744\pi\) | |||||||
\(578\) | 2.75925 | − | 2.00471i | 0.114770 | − | 0.0833849i | ||||
\(579\) | −35.0487 | + | 25.4643i | −1.45657 | + | 1.05826i | ||||
\(580\) | 6.23042 | − | 2.02439i | 0.258704 | − | 0.0840581i | ||||
\(581\) | −6.88783 | − | 2.23799i | −0.285755 | − | 0.0928476i | ||||
\(582\) | 2.43441 | + | 1.76870i | 0.100910 | + | 0.0733151i | ||||
\(583\) | −1.92534 | −0.0797394 | ||||||||
\(584\) | 3.19883 | + | 2.32409i | 0.132369 | + | 0.0961715i | ||||
\(585\) | 1.28352 | − | 1.76661i | 0.0530670 | − | 0.0730405i | ||||
\(586\) | −2.40500 | − | 3.31019i | −0.0993495 | − | 0.136743i | ||||
\(587\) | −5.29875 | + | 1.72167i | −0.218703 | + | 0.0710608i | −0.416319 | − | 0.909219i | \(-0.636680\pi\) |
0.197616 | + | 0.980279i | \(0.436680\pi\) | |||||||
\(588\) | 4.87017i | 0.200842i | ||||||||
\(589\) | 2.93902 | + | 4.04521i | 0.121100 | + | 0.166680i | ||||
\(590\) | −0.527718 | + | 1.62415i | −0.0217258 | + | 0.0668651i | ||||
\(591\) | −16.9097 | + | 23.2741i | −0.695570 | + | 0.957370i | ||||
\(592\) | 6.84756 | + | 21.0746i | 0.281433 | + | 0.866162i | ||||
\(593\) | −37.6239 | − | 12.2248i | −1.54503 | − | 0.502011i | −0.592271 | − | 0.805739i | \(-0.701769\pi\) |
−0.952759 | + | 0.303728i | \(0.901769\pi\) | |||||||
\(594\) | 0.0318208 | − | 0.0979344i | 0.00130562 | − | 0.00401830i | ||||
\(595\) | −3.40910 | + | 10.4921i | −0.139760 | + | 0.430136i | ||||
\(596\) | −0.437092 | − | 0.142020i | −0.0179040 | − | 0.00581735i | ||||
\(597\) | −4.10148 | − | 12.6231i | −0.167862 | − | 0.516628i | ||||
\(598\) | 0.117958 | − | 0.162355i | 0.00482367 | − | 0.00663921i | ||||
\(599\) | 5.24310 | − | 16.1366i | 0.214227 | − | 0.659324i | −0.784980 | − | 0.619521i | \(-0.787327\pi\) |
0.999208 | − | 0.0398031i | \(-0.0126731\pi\) | |||||||
\(600\) | −1.67114 | − | 2.30013i | −0.0682240 | − | 0.0939023i | ||||
\(601\) | − | 17.4002i | − | 0.709769i | −0.934910 | − | 0.354885i | \(-0.884520\pi\) | ||
0.934910 | − | 0.354885i | \(-0.115480\pi\) | |||||||
\(602\) | 1.77914 | − | 0.578079i | 0.0725125 | − | 0.0235607i | ||||
\(603\) | −6.78090 | − | 9.33311i | −0.276140 | − | 0.380074i | ||||
\(604\) | −6.54242 | + | 9.00487i | −0.266207 | + | 0.366403i | ||||
\(605\) | −13.2221 | − | 9.60642i | −0.537555 | − | 0.390557i | ||||
\(606\) | −3.87013 | −0.157213 | ||||||||
\(607\) | 28.9842 | + | 21.0582i | 1.17643 | + | 0.854727i | 0.991765 | − | 0.128074i | \(-0.0408795\pi\) |
0.184666 | + | 0.982801i | \(0.440880\pi\) | |||||||
\(608\) | −13.9266 | − | 4.52501i | −0.564796 | − | 0.183513i | ||||
\(609\) | −4.44511 | + | 1.44430i | −0.180125 | + | 0.0585262i | ||||
\(610\) | 2.95408 | − | 2.14626i | 0.119607 | − | 0.0868997i | ||||
\(611\) | 3.13183 | − | 2.27541i | 0.126700 | − | 0.0920531i | ||||
\(612\) | − | 38.3007i | − | 1.54821i | ||||||
\(613\) | 6.17039 | + | 18.9905i | 0.249220 | + | 0.767019i | 0.994914 | + | 0.100731i | \(0.0321181\pi\) |
−0.745694 | + | 0.666288i | \(0.767882\pi\) | |||||||
\(614\) | 0.458597 | 0.0185075 | ||||||||
\(615\) | 25.3625 | + | 10.6498i | 1.02271 | + | 0.429441i | ||||
\(616\) | 2.66451 | 0.107356 | ||||||||
\(617\) | 5.80834 | + | 17.8762i | 0.233835 | + | 0.719670i | 0.997274 | + | 0.0737897i | \(0.0235094\pi\) |
−0.763439 | + | 0.645880i | \(0.776491\pi\) | |||||||
\(618\) | 0.420012i | 0.0168954i | ||||||||
\(619\) | 15.2525 | − | 11.0816i | 0.613051 | − | 0.445407i | −0.237437 | − | 0.971403i | \(-0.576307\pi\) |
0.850487 | + | 0.525996i | \(0.176307\pi\) | |||||||
\(620\) | −1.67312 | + | 1.21559i | −0.0671941 | + | 0.0488194i | ||||
\(621\) | 0.483750 | − | 0.157180i | 0.0194122 | − | 0.00630741i | ||||
\(622\) | −0.698718 | − | 0.227027i | −0.0280160 | − | 0.00910296i | ||||
\(623\) | 11.3888 | + | 8.27446i | 0.456283 | + | 0.331509i | ||||
\(624\) | −3.89246 | −0.155823 | ||||||||
\(625\) | 9.21963 | + | 6.69845i | 0.368785 | + | 0.267938i | ||||
\(626\) | 0.369389 | − | 0.508420i | 0.0147638 | − | 0.0203206i | ||||
\(627\) | −54.4979 | − | 75.0099i | −2.17644 | − | 2.99561i | ||||
\(628\) | −21.0718 | + | 6.84664i | −0.840856 | + | 0.273211i | ||||
\(629\) | − | 36.2202i | − | 1.44419i | ||||||
\(630\) | −0.466139 | − | 0.641585i | −0.0185714 | − | 0.0255614i | ||||
\(631\) | −7.97911 | + | 24.5572i | −0.317643 | + | 0.977605i | 0.657009 | + | 0.753882i | \(0.271821\pi\) |
−0.974653 | + | 0.223723i | \(0.928179\pi\) | |||||||
\(632\) | 2.57991 | − | 3.55094i | 0.102623 | − | 0.141249i | ||||
\(633\) | 10.3566 | + | 31.8742i | 0.411636 | + | 1.26689i | ||||
\(634\) | 3.77458 | + | 1.22643i | 0.149908 | + | 0.0487079i | ||||
\(635\) | 0.218456 | − | 0.672338i | 0.00866916 | − | 0.0266809i | ||||
\(636\) | 0.642050 | − | 1.97603i | 0.0254590 | − | 0.0783546i | ||||
\(637\) | −0.388673 | − | 0.126288i | −0.0153998 | − | 0.00500370i | ||||
\(638\) | 0.392907 | + | 1.20924i | 0.0155553 | + | 0.0478744i | ||||
\(639\) | 9.11912 | − | 12.5514i | 0.360747 | − | 0.496525i | ||||
\(640\) | 2.49067 | − | 7.66550i | 0.0984524 | − | 0.303005i | ||||
\(641\) | −7.30570 | − | 10.0554i | −0.288558 | − | 0.397166i | 0.639987 | − | 0.768386i | \(-0.278940\pi\) |
−0.928545 | + | 0.371220i | \(0.878940\pi\) | |||||||
\(642\) | 5.72294i | 0.225867i | ||||||||
\(643\) | −15.0389 | + | 4.88643i | −0.593075 | + | 0.192702i | −0.590150 | − | 0.807294i | \(-0.700931\pi\) |
−0.00292560 | + | 0.999996i | \(0.500931\pi\) | |||||||
\(644\) | 3.84662 | + | 5.29442i | 0.151578 | + | 0.208629i | ||||
\(645\) | 31.8269 | − | 43.8060i | 1.25318 | − | 1.72486i | ||||
\(646\) | 6.33491 | + | 4.60258i | 0.249244 | + | 0.181086i | ||||
\(647\) | 12.8414 | 0.504848 | 0.252424 | − | 0.967617i | \(-0.418772\pi\) | ||||
0.252424 | + | 0.967617i | \(0.418772\pi\) | |||||||
\(648\) | −4.20752 | − | 3.05694i | −0.165287 | − | 0.120088i | ||||
\(649\) | 28.3048 | + | 9.19680i | 1.11106 | + | 0.361006i | ||||
\(650\) | 0.112822 | − | 0.0366581i | 0.00442524 | − | 0.00143785i | ||||
\(651\) | 1.19369 | − | 0.867268i | 0.0467845 | − | 0.0339909i | ||||
\(652\) | 5.38718 | − | 3.91402i | 0.210978 | − | 0.153285i | ||||
\(653\) | − | 39.6975i | − | 1.55348i | −0.629819 | − | 0.776742i | \(-0.716871\pi\) | ||
0.629819 | − | 0.776742i | \(-0.283129\pi\) | |||||||
\(654\) | −1.97254 | − | 6.07085i | −0.0771323 | − | 0.237389i | ||||
\(655\) | 2.11098 | 0.0824828 | ||||||||
\(656\) | −5.66547 | − | 24.1127i | −0.221200 | − | 0.941442i | ||||
\(657\) | −20.5092 | −0.800141 | ||||||||
\(658\) | −0.434445 | − | 1.33708i | −0.0169364 | − | 0.0521250i | ||||
\(659\) | − | 10.6503i | − | 0.414875i | −0.978248 | − | 0.207438i | \(-0.933488\pi\) | ||
0.978248 | − | 0.207438i | \(-0.0665124\pi\) | |||||||
\(660\) | 31.0245 | − | 22.5406i | 1.20763 | − | 0.877391i | ||||
\(661\) | 22.5817 | − | 16.4066i | 0.878327 | − | 0.638142i | −0.0544813 | − | 0.998515i | \(-0.517351\pi\) |
0.932808 | + | 0.360373i | \(0.117351\pi\) | |||||||
\(662\) | −4.68765 | + | 1.52311i | −0.182191 | + | 0.0591973i | ||||
\(663\) | 6.05100 | + | 1.96609i | 0.235001 | + | 0.0763566i | ||||
\(664\) | −3.45928 | − | 2.51332i | −0.134246 | − | 0.0975356i | ||||
\(665\) | −14.5583 | −0.564547 | ||||||||
\(666\) | 2.10643 | + | 1.53041i | 0.0816226 | + | 0.0593023i | ||||
\(667\) | −3.69158 | + | 5.08102i | −0.142938 | + | 0.196738i | ||||
\(668\) | −7.44380 | − | 10.2455i | −0.288009 | − | 0.396411i | ||||
\(669\) | 28.1818 | − | 9.15681i | 1.08957 | − | 0.354023i | ||||
\(670\) | 0.975508i | 0.0376871i | ||||||||
\(671\) | −37.4040 | − | 51.4822i | −1.44397 | − | 1.98745i | ||||
\(672\) | −1.33527 | + | 4.10955i | −0.0515093 | + | 0.158529i | ||||
\(673\) | −11.2776 | + | 15.5223i | −0.434721 | + | 0.598342i | −0.969029 | − | 0.246948i | \(-0.920572\pi\) |
0.534308 | + | 0.845290i | \(0.320572\pi\) | |||||||
\(674\) | −1.09706 | − | 3.37640i | −0.0422571 | − | 0.130054i | ||||
\(675\) | 0.285956 | + | 0.0929126i | 0.0110064 | + | 0.00357621i | ||||
\(676\) | −7.84386 | + | 24.1409i | −0.301687 | + | 0.928497i | ||||
\(677\) | 10.8853 | − | 33.5014i | 0.418355 | − | 1.28756i | −0.490861 | − | 0.871238i | \(-0.663318\pi\) |
0.909216 | − | 0.416326i | \(-0.136682\pi\) | |||||||
\(678\) | −0.179427 | − | 0.0582995i | −0.00689086 | − | 0.00223898i | ||||
\(679\) | −2.54451 | − | 7.83120i | −0.0976494 | − | 0.300534i | ||||
\(680\) | −3.82850 | + | 5.26948i | −0.146816 | + | 0.202075i | ||||
\(681\) | −7.32595 | + | 22.5470i | −0.280731 | + | 0.864001i | ||||
\(682\) | −0.235931 | − | 0.324731i | −0.00903426 | − | 0.0124346i | ||||
\(683\) | 14.5389i | 0.556317i | 0.960535 | + | 0.278158i | \(0.0897240\pi\) | ||||
−0.960535 | + | 0.278158i | \(0.910276\pi\) | |||||||
\(684\) | 48.0691 | − | 15.6186i | 1.83797 | − | 0.597193i | ||||
\(685\) | 0.716162 | + | 0.985712i | 0.0273631 | + | 0.0376621i | ||||
\(686\) | −0.0872387 | + | 0.120074i | −0.00333079 | + | 0.00458444i | ||||
\(687\) | −5.05126 | − | 3.66996i | −0.192718 | − | 0.140018i | ||||
\(688\) | −48.7569 | −1.85884 | ||||||||
\(689\) | 0.141052 | + | 0.102480i | 0.00537365 | + | 0.00390418i | ||||
\(690\) | −2.00632 | − | 0.651892i | −0.0763792 | − | 0.0248171i | ||||
\(691\) | −10.0120 | + | 3.25308i | −0.380873 | + | 0.123753i | −0.493195 | − | 0.869919i | \(-0.664171\pi\) |
0.112322 | + | 0.993672i | \(0.464171\pi\) | |||||||
\(692\) | 16.8774 | − | 12.2622i | 0.641584 | − | 0.466138i | ||||
\(693\) | −11.1812 | + | 8.12364i | −0.424740 | + | 0.308591i | ||||
\(694\) | − | 4.44362i | − | 0.168678i | ||||||
\(695\) | 2.32039 | + | 7.14142i | 0.0880173 | + | 0.270889i | ||||
\(696\) | −2.75949 | −0.104598 | ||||||||
\(697\) | −3.37213 | + | 40.3459i | −0.127729 | + | 1.52821i | ||||
\(698\) | −2.54859 | −0.0964655 | ||||||||
\(699\) | 4.67646 | + | 14.3927i | 0.176880 | + | 0.544381i | ||||
\(700\) | 3.86846i | 0.146214i | ||||||||
\(701\) | −41.4224 | + | 30.0951i | −1.56450 | + | 1.13668i | −0.632308 | + | 0.774717i | \(0.717892\pi\) |
−0.932194 | + | 0.361960i | \(0.882108\pi\) | |||||||
\(702\) | −0.00754398 | + | 0.00548102i | −0.000284729 | + | 0.000206868i | ||||
\(703\) | 45.4581 | − | 14.7702i | 1.71448 | − | 0.557069i | ||||
\(704\) | −32.0885 | − | 10.4262i | −1.20938 | − | 0.392952i | ||||
\(705\) | −32.9217 | − | 23.9190i | −1.23990 | − | 0.900841i | ||||
\(706\) | −3.31861 | −0.124898 | ||||||||
\(707\) | 8.56778 | + | 6.22486i | 0.322225 | + | 0.234110i | ||||
\(708\) | −18.8778 | + | 25.9831i | −0.709473 | + | 0.976506i | ||||
\(709\) | −19.6617 | − | 27.0620i | −0.738410 | − | 1.01633i | −0.998709 | − | 0.0508057i | \(-0.983821\pi\) |
0.260299 | − | 0.965528i | \(-0.416179\pi\) | |||||||
\(710\) | −1.24768 | + | 0.405395i | −0.0468245 | + | 0.0152142i | ||||
\(711\) | 22.7667i | 0.853819i | ||||||||
\(712\) | 4.88531 | + | 6.72405i | 0.183085 | + | 0.251995i | ||||
\(713\) | 0.612680 | − | 1.88563i | 0.0229450 | − | 0.0706176i | ||||
\(714\) | 1.35816 | − | 1.86935i | 0.0508280 | − | 0.0699587i | ||||
\(715\) | 0.994406 | + | 3.06047i | 0.0371887 | + | 0.114455i | ||||
\(716\) | 1.51021 | + | 0.490696i | 0.0564390 | + | 0.0183382i | ||||
\(717\) | 10.6667 | − | 32.8287i | 0.398355 | − | 1.22601i | ||||
\(718\) | 1.28420 | − | 3.95236i | 0.0479260 | − | 0.147501i | ||||
\(719\) | −12.8021 | − | 4.15967i | −0.477439 | − | 0.155129i | 0.0604046 | − | 0.998174i | \(-0.480761\pi\) |
−0.537844 | + | 0.843045i | \(0.680761\pi\) | |||||||
\(720\) | 6.38719 | + | 19.6578i | 0.238037 | + | 0.732602i | ||||
\(721\) | 0.675564 | − | 0.929834i | 0.0251593 | − | 0.0346288i | ||||
\(722\) | −2.32173 | + | 7.14554i | −0.0864057 | + | 0.265929i | ||||
\(723\) | −27.2420 | − | 37.4955i | −1.01314 | − | 1.39447i | ||||
\(724\) | − | 11.3321i | − | 0.421154i | ||||||
\(725\) | −3.53083 | + | 1.14724i | −0.131132 | + | 0.0426073i | ||||
\(726\) | 2.01204 | + | 2.76934i | 0.0746739 | + | 0.102780i | ||||
\(727\) | 6.89928 | − | 9.49604i | 0.255880 | − | 0.352189i | −0.661680 | − | 0.749787i | \(-0.730156\pi\) |
0.917560 | + | 0.397598i | \(0.130156\pi\) | |||||||
\(728\) | −0.195204 | − | 0.141824i | −0.00723473 | − | 0.00525634i | ||||
\(729\) | 28.1119 | 1.04118 | ||||||||
\(730\) | 1.40304 | + | 1.01936i | 0.0519287 | + | 0.0377284i | ||||
\(731\) | 75.7948 | + | 24.6272i | 2.80337 | + | 0.910871i | ||||
\(732\) | 65.3108 | − | 21.2208i | 2.41396 | − | 0.784342i | ||||
\(733\) | −12.3523 | + | 8.97446i | −0.456242 | + | 0.331479i | −0.792055 | − | 0.610449i | \(-0.790989\pi\) |
0.335813 | + | 0.941929i | \(0.390989\pi\) | |||||||
\(734\) | 1.25437 | − | 0.911352i | 0.0462996 | − | 0.0336386i | ||||
\(735\) | 4.29598i | 0.158460i | ||||||||
\(736\) | 1.79427 | + | 5.52219i | 0.0661376 | + | 0.203551i | ||||
\(737\) | 17.0007 | 0.626227 | ||||||||
\(738\) | −2.20388 | − | 1.90085i | −0.0811261 | − | 0.0699711i | ||||
\(739\) | 10.7844 | 0.396710 | 0.198355 | − | 0.980130i | \(-0.436440\pi\) | ||||
0.198355 | + | 0.980130i | \(0.436440\pi\) | |||||||
\(740\) | 6.10904 | + | 18.8017i | 0.224573 | + | 0.691164i | ||||
\(741\) | 8.39604i | 0.308436i | ||||||||
\(742\) | 0.0512261 | − | 0.0372179i | 0.00188057 | − | 0.00136631i | ||||
\(743\) | 8.96750 | − | 6.51527i | 0.328986 | − | 0.239022i | −0.411015 | − | 0.911629i | \(-0.634825\pi\) |
0.740000 | + | 0.672607i | \(0.234825\pi\) | |||||||
\(744\) | 0.828501 | − | 0.269196i | 0.0303743 | − | 0.00986922i | ||||
\(745\) | −0.385559 | − | 0.125276i | −0.0141258 | − | 0.00458975i | ||||
\(746\) | −0.141444 | − | 0.102765i | −0.00517862 | − | 0.00376249i | ||||
\(747\) | 22.1791 | 0.811490 | ||||||||
\(748\) | 45.6627 | + | 33.1759i | 1.66959 | + | 1.21303i | ||||
\(749\) | 9.20500 | − | 12.6696i | 0.336343 | − | 0.462937i | ||||
\(750\) | −2.60686 | − | 3.58803i | −0.0951889 | − | 0.131016i | ||||
\(751\) | 11.7401 | − | 3.81459i | 0.428402 | − | 0.139196i | −0.0868763 | − | 0.996219i | \(-0.527688\pi\) |
0.515279 | + | 0.857023i | \(0.327688\pi\) | |||||||
\(752\) | 36.6424i | 1.33621i | ||||||||
\(753\) | 2.50735 | + | 3.45107i | 0.0913730 | + | 0.125764i | ||||
\(754\) | 0.0355798 | − | 0.109503i | 0.00129574 | − | 0.00398788i | ||||
\(755\) | −5.77108 | + | 7.94321i | −0.210031 | + | 0.289083i | ||||
\(756\) | −0.0939672 | − | 0.289201i | −0.00341755 | − | 0.0105182i | ||||
\(757\) | −36.5007 | − | 11.8598i | −1.32664 | − | 0.431051i | −0.441870 | − | 0.897079i | \(-0.645685\pi\) |
−0.884770 | + | 0.466028i | \(0.845685\pi\) | |||||||
\(758\) | −0.944461 | + | 2.90675i | −0.0343044 | + | 0.105578i | ||||
\(759\) | −11.3609 | + | 34.9651i | −0.412373 | + | 1.26915i | ||||
\(760\) | −8.17466 | − | 2.65611i | −0.296526 | − | 0.0963472i | ||||
\(761\) | −13.9965 | − | 43.0767i | −0.507371 | − | 1.56153i | −0.796748 | − | 0.604312i | \(-0.793448\pi\) |
0.289377 | − | 0.957215i | \(-0.406552\pi\) | |||||||
\(762\) | −0.0870314 | + | 0.119788i | −0.00315282 | + | 0.00433948i | ||||
\(763\) | −5.39773 | + | 16.6125i | −0.195411 | + | 0.601413i | ||||
\(764\) | 19.4696 | + | 26.7977i | 0.704387 | + | 0.969505i | ||||
\(765\) | − | 33.7851i | − | 1.22150i | ||||||
\(766\) | −3.28421 | + | 1.06711i | −0.118663 | + | 0.0385561i | ||||
\(767\) | −1.58412 | − | 2.18035i | −0.0571991 | − | 0.0787278i | ||||
\(768\) | 20.6474 | − | 28.4187i | 0.745050 | − | 1.02547i | ||||
\(769\) | 14.8088 | + | 10.7592i | 0.534020 | + | 0.387988i | 0.821859 | − | 0.569690i | \(-0.192937\pi\) |
−0.287839 | + | 0.957679i | \(0.592937\pi\) | |||||||
\(770\) | 1.16867 | 0.0421161 | ||||||||
\(771\) | −10.4982 | − | 7.62736i | −0.378082 | − | 0.274693i | ||||
\(772\) | 33.0991 | + | 10.7546i | 1.19126 | + | 0.387065i | ||||
\(773\) | −21.5383 | + | 6.99822i | −0.774679 | + | 0.251709i | −0.669567 | − | 0.742752i | \(-0.733520\pi\) |
−0.105112 | + | 0.994460i | \(0.533520\pi\) | |||||||
\(774\) | −4.63478 | + | 3.36737i | −0.166594 | + | 0.121038i | ||||
\(775\) | 0.948171 | − | 0.688887i | 0.0340593 | − | 0.0247455i | ||||
\(776\) | − | 4.86154i | − | 0.174519i | ||||||
\(777\) | −4.35851 | − | 13.4141i | −0.156361 | − | 0.481229i | ||||
\(778\) | 1.41237 | 0.0506359 | ||||||||
\(779\) | −52.0111 | + | 12.2204i | −1.86349 | + | 0.437843i | ||||
\(780\) | −3.47265 | −0.124341 | ||||||||
\(781\) | 7.06502 | + | 21.7439i | 0.252806 | + | 0.778058i | ||||
\(782\) | − | 3.10492i | − | 0.111032i | ||||||
\(783\) | 0.236094 | − | 0.171532i | 0.00843730 | − | 0.00613006i | ||||
\(784\) | 3.12953 | − | 2.27374i | 0.111769 | − | 0.0812050i | ||||
\(785\) | −18.5875 | + | 6.03943i | −0.663415 | + | 0.215557i | ||||
\(786\) | −0.420500 | − | 0.136629i | −0.0149987 | − | 0.00487339i | ||||
\(787\) | 0.307199 | + | 0.223193i | 0.0109505 | + | 0.00795597i | 0.593247 | − | 0.805020i | \(-0.297846\pi\) |
−0.582297 | + | 0.812976i | \(0.697846\pi\) | |||||||
\(788\) | 23.1107 | 0.823283 | ||||||||
\(789\) | 31.8084 | + | 23.1101i | 1.13241 | + | 0.822743i | ||||
\(790\) | 1.13157 | − | 1.55747i | 0.0402594 | − | 0.0554124i | ||||
\(791\) | 0.303450 | + | 0.417663i | 0.0107894 | + | 0.0148504i | ||||
\(792\) | −7.76051 | + | 2.52154i | −0.275758 | + | 0.0895991i | ||||
\(793\) | 5.76253i | 0.204633i | ||||||||
\(794\) | 1.97916 | + | 2.72408i | 0.0702378 | + | 0.0966741i | ||||
\(795\) | 0.566354 | − | 1.74306i | 0.0200865 | − | 0.0618199i | ||||
\(796\) | −6.26720 | + | 8.62606i | −0.222135 | + | 0.305743i | ||||
\(797\) | 15.3944 | + | 47.3791i | 0.545297 | + | 1.67825i | 0.720282 | + | 0.693681i | \(0.244012\pi\) |
−0.174985 | + | 0.984571i | \(0.555988\pi\) | |||||||
\(798\) | 2.89997 | + | 0.942257i | 0.102658 | + | 0.0333555i | ||||
\(799\) | 18.5082 | − | 56.9623i | 0.654772 | − | 2.01518i | ||||
\(800\) | −1.06063 | + | 3.26429i | −0.0374991 | + | 0.115410i | ||||
\(801\) | −41.0010 | − | 13.3220i | −1.44870 | − | 0.470711i | ||||
\(802\) | 0.770391 | + | 2.37102i | 0.0272035 | + | 0.0837236i | ||||
\(803\) | 17.7650 | − | 24.4514i | 0.626913 | − | 0.862871i | ||||
\(804\) | −5.66927 | + | 17.4482i | −0.199940 | + | 0.615352i | ||||
\(805\) | 3.39311 | + | 4.67021i | 0.119591 | + | 0.164603i | ||||
\(806\) | 0.0363479i | 0.00128030i | ||||||||
\(807\) | 58.1152 | − | 18.8828i | 2.04575 | − | 0.664705i | ||||
\(808\) | 3.67521 | + | 5.05849i | 0.129293 | + | 0.177957i | ||||
\(809\) | −23.5997 | + | 32.4822i | −0.829722 | + | 1.14201i | 0.158252 | + | 0.987399i | \(0.449414\pi\) |
−0.987975 | + | 0.154616i | \(0.950586\pi\) | |||||||
\(810\) | −1.84545 | − | 1.34080i | −0.0648426 | − | 0.0471109i | ||||
\(811\) | −46.9546 | −1.64880 | −0.824399 | − | 0.566009i | \(-0.808487\pi\) | ||||
−0.824399 | + | 0.566009i | \(0.808487\pi\) | |||||||
\(812\) | 3.03760 | + | 2.20694i | 0.106599 | + | 0.0774486i | ||||
\(813\) | 73.6142 | + | 23.9187i | 2.58176 | + | 0.838866i | ||||
\(814\) | −3.64916 | + | 1.18568i | −0.127903 | + | 0.0415582i | ||||
\(815\) | 4.75204 | − | 3.45256i | 0.166457 | − | 0.120938i | ||||
\(816\) | −48.7217 | + | 35.3984i | −1.70560 | + | 1.23919i | ||||
\(817\) | 105.169i | 3.67939i | ||||||||
\(818\) | 1.45453 | + | 4.47659i | 0.0508565 | + | 0.156520i | ||||
\(819\) | 1.25154 | 0.0437324 | ||||||||
\(820\) | −5.05444 | − | 21.5121i | −0.176509 | − | 0.751234i | ||||
\(821\) | 34.2975 | 1.19699 | 0.598495 | − | 0.801126i | \(-0.295766\pi\) | ||||
0.598495 | + | 0.801126i | \(0.295766\pi\) | |||||||
\(822\) | −0.0788589 | − | 0.242703i | −0.00275052 | − | 0.00846523i | ||||
\(823\) | − | 38.3663i | − | 1.33737i | −0.743548 | − | 0.668683i | \(-0.766858\pi\) | ||
0.743548 | − | 0.668683i | \(-0.233142\pi\) | |||||||
\(824\) | 0.548982 | − | 0.398859i | 0.0191247 | − | 0.0138949i | ||||
\(825\) | −17.5818 | + | 12.7739i | −0.612121 | + | 0.444732i | ||||
\(826\) | −0.930866 | + | 0.302457i | −0.0323890 | + | 0.0105238i | ||||
\(827\) | −9.62807 | − | 3.12835i | −0.334801 | − | 0.108783i | 0.136792 | − | 0.990600i | \(-0.456321\pi\) |
−0.471593 | + | 0.881816i | \(0.656321\pi\) | |||||||
\(828\) | −16.2138 | − | 11.7800i | −0.563469 | − | 0.409384i | ||||
\(829\) | −30.9763 | −1.07585 | −0.537925 | − | 0.842993i | \(-0.680792\pi\) | ||||
−0.537925 | + | 0.842993i | \(0.680792\pi\) | |||||||
\(830\) | −1.51727 | − | 1.10236i | −0.0526652 | − | 0.0382635i | ||||
\(831\) | −3.52131 | + | 4.84667i | −0.122153 | + | 0.168129i | ||||
\(832\) | 1.79587 | + | 2.47181i | 0.0622607 | + | 0.0856945i | ||||
\(833\) | −6.01347 | + | 1.95390i | −0.208355 | + | 0.0676985i | ||||
\(834\) | − | 1.57273i | − | 0.0544592i | ||||||
\(835\) | −6.56619 | − | 9.03758i | −0.227232 | − | 0.312758i | ||||
\(836\) | −23.0165 | + | 70.8375i | −0.796043 | + | 2.44997i | ||||
\(837\) | −0.0541506 | + | 0.0745319i | −0.00187172 | + | 0.00257620i | ||||
\(838\) | −0.195141 | − | 0.600584i | −0.00674105 | − | 0.0207468i | ||||
\(839\) | 12.0183 | + | 3.90500i | 0.414919 | + | 0.134815i | 0.509035 | − | 0.860746i | \(-0.330002\pi\) |
−0.0941157 | + | 0.995561i | \(0.530002\pi\) | |||||||
\(840\) | −0.783785 | + | 2.41224i | −0.0270431 | + | 0.0832303i | ||||
\(841\) | 7.84800 | − | 24.1537i | 0.270621 | − | 0.832885i | ||||
\(842\) | 2.55804 | + | 0.831157i | 0.0881558 | + | 0.0286436i | ||||
\(843\) | 14.4504 | + | 44.4738i | 0.497698 | + | 1.53176i | ||||
\(844\) | 15.8252 | − | 21.7815i | 0.544724 | − | 0.749749i | ||||
\(845\) | −6.91908 | + | 21.2947i | −0.238024 | + | 0.732562i | ||||
\(846\) | 2.53069 | + | 3.48319i | 0.0870069 | + | 0.119755i | ||||
\(847\) | − | 9.36708i | − | 0.321857i | ||||||
\(848\) | −1.56954 | + | 0.509973i | −0.0538981 | + | 0.0175125i | ||||
\(849\) | 16.8467 | + | 23.1875i | 0.578177 | + | 0.795792i | ||||
\(850\) | 1.07881 | − | 1.48486i | 0.0370030 | − | 0.0509303i | ||||
\(851\) | −15.3331 | − | 11.1401i | −0.525612 | − | 0.381879i | ||||
\(852\) | −24.6724 | −0.845261 | ||||||||
\(853\) | −44.8109 | − | 32.5570i | −1.53430 | − | 1.11473i | −0.953790 | − | 0.300475i | \(-0.902855\pi\) |
−0.580506 | − | 0.814256i | \(-0.697145\pi\) | |||||||
\(854\) | 1.99036 | + | 0.646708i | 0.0681088 | + | 0.0221299i | ||||
\(855\) | 42.4019 | − | 13.7772i | 1.45011 | − | 0.471170i | ||||
\(856\) | 7.48023 | − | 5.43471i | 0.255669 | − | 0.185754i | ||||
\(857\) | 0.586268 | − | 0.425948i | 0.0200265 | − | 0.0145501i | −0.577727 | − | 0.816230i | \(-0.696060\pi\) |
0.597753 | + | 0.801680i | \(0.296060\pi\) | |||||||
\(858\) | − | 0.673995i | − | 0.0230098i | ||||||
\(859\) | 5.70210 | + | 17.5493i | 0.194553 | + | 0.598773i | 0.999982 | + | 0.00607985i | \(0.00193529\pi\) |
−0.805428 | + | 0.592693i | \(0.798065\pi\) | |||||||
\(860\) | −43.4983 | −1.48328 | ||||||||
\(861\) | 3.60610 | + | 15.3478i | 0.122896 | + | 0.523053i | ||||
\(862\) | −1.37270 | −0.0467544 | ||||||||
\(863\) | −6.47239 | − | 19.9200i | −0.220323 | − | 0.678084i | −0.998733 | − | 0.0503275i | \(-0.983974\pi\) |
0.778410 | − | 0.627756i | \(-0.216026\pi\) | |||||||
\(864\) | − | 0.269798i | − | 0.00917871i | ||||||
\(865\) | 14.8876 | − | 10.8165i | 0.506194 | − | 0.367771i | ||||
\(866\) | 0.338220 | − | 0.245731i | 0.0114932 | − | 0.00835029i | ||||
\(867\) | 53.8111 | − | 17.4843i | 1.82752 | − | 0.593798i | ||||
\(868\) | −1.12729 | − | 0.366280i | −0.0382629 | − | 0.0124324i | ||||
\(869\) | −27.1429 | − | 19.7204i | −0.920758 | − | 0.668970i | ||||
\(870\) | −1.21033 | −0.0410342 | ||||||||
\(871\) | −1.24548 | − | 0.904895i | −0.0422015 | − | 0.0306612i | ||||
\(872\) | −6.06177 | + | 8.34331i | −0.205278 | + | 0.282540i | ||||
\(873\) | 14.8220 | + | 20.4008i | 0.501650 | + | 0.690462i | ||||
\(874\) | 3.89682 | − | 1.26615i | 0.131812 | − | 0.0428283i | ||||
\(875\) | 12.1362i | 0.410280i | ||||||||
\(876\) | 19.1710 | + | 26.3866i | 0.647727 | + | 0.891520i | ||||
\(877\) | −8.90969 | + | 27.4212i | −0.300859 | + | 0.925948i | 0.680331 | + | 0.732905i | \(0.261836\pi\) |
−0.981190 | + | 0.193044i | \(0.938164\pi\) | |||||||
\(878\) | −1.84617 | + | 2.54103i | −0.0623051 | + | 0.0857557i | ||||
\(879\) | −20.9754 | − | 64.5558i | −0.707484 | − | 2.17741i | ||||
\(880\) | −28.9688 | − | 9.41255i | −0.976540 | − | 0.317297i | ||||
\(881\) | −1.06773 | + | 3.28612i | −0.0359726 | + | 0.110712i | −0.967430 | − | 0.253137i | \(-0.918538\pi\) |
0.931458 | + | 0.363849i | \(0.118538\pi\) | |||||||
\(882\) | 0.140456 | − | 0.432279i | 0.00472940 | − | 0.0145556i | ||||
\(883\) | 2.89843 | + | 0.941756i | 0.0975399 | + | 0.0316926i | 0.357380 | − | 0.933959i | \(-0.383670\pi\) |
−0.259841 | + | 0.965652i | \(0.583670\pi\) | |||||||
\(884\) | −1.57943 | − | 4.86098i | −0.0531219 | − | 0.163492i | ||||
\(885\) | −16.6522 | + | 22.9197i | −0.559757 | + | 0.770439i | ||||
\(886\) | −1.64576 | + | 5.06513i | −0.0552904 | + | 0.170166i | ||||
\(887\) | −27.7698 | − | 38.2218i | −0.932418 | − | 1.28336i | −0.958909 | − | 0.283714i | \(-0.908433\pi\) |
0.0264913 | − | 0.999649i | \(-0.491567\pi\) | |||||||
\(888\) | − | 8.32737i | − | 0.279448i | ||||||
\(889\) | 0.385345 | − | 0.125206i | 0.0129240 | − | 0.00419928i | ||||
\(890\) | 2.14274 | + | 2.94923i | 0.0718247 | + | 0.0988583i | ||||
\(891\) | −23.3668 | + | 32.1616i | −0.782817 | + | 1.07746i | ||||
\(892\) | −19.2582 | − | 13.9919i | −0.644813 | − | 0.468484i | ||||
\(893\) | 79.0378 | 2.64490 | ||||||||
\(894\) | 0.0686939 | + | 0.0499090i | 0.00229747 | + | 0.00166921i | ||||
\(895\) | 1.33215 | + | 0.432843i | 0.0445290 | + | 0.0144684i | ||||
\(896\) | 4.39341 | − | 1.42751i | 0.146774 | − | 0.0476896i | ||||
\(897\) | 2.69339 | − | 1.95687i | 0.0899298 | − | 0.0653378i | ||||
\(898\) | −4.34879 | + | 3.15958i | −0.145121 | + | 0.105437i | ||||
\(899\) | − | 1.13753i | − | 0.0379388i | ||||||
\(900\) | −3.66090 | − | 11.2671i | −0.122030 | − | 0.375570i | ||||
\(901\) | 2.69750 | 0.0898669 | ||||||||
\(902\) | 4.17521 | − | 0.981001i | 0.139019 | − | 0.0326638i | ||||
\(903\) | 31.0340 | 1.03275 | ||||||||
\(904\) | 0.0941895 | + | 0.289886i | 0.00313270 | + | 0.00964145i | ||||
\(905\) | − | 9.99606i | − | 0.332280i | ||||||
\(906\) | 1.66369 | − | 1.20874i | 0.0552723 | − | 0.0401577i | ||||
\(907\) | 40.8711 | − | 29.6946i | 1.35710 | − | 0.985992i | 0.358478 | − | 0.933538i | \(-0.383296\pi\) |
0.998623 | − | 0.0524541i | \(-0.0167043\pi\) | |||||||
\(908\) | 18.1127 | − | 5.88519i | 0.601093 | − | 0.195307i | ||||
\(909\) | −30.8450 | − | 10.0221i | −1.02306 | − | 0.332413i | ||||
\(910\) | −0.0856180 | − | 0.0622051i | −0.00283821 | − | 0.00206208i | ||||
\(911\) | −48.1146 | −1.59411 | −0.797054 | − | 0.603908i | \(-0.793609\pi\) | ||||
−0.797054 | + | 0.603908i | \(0.793609\pi\) | |||||||
\(912\) | −64.2948 | − | 46.7129i | −2.12901 | − | 1.54682i | ||||
\(913\) | −19.2114 | + | 26.4422i | −0.635805 | + | 0.875110i | ||||
\(914\) | 1.82001 | + | 2.50503i | 0.0602005 | + | 0.0828589i | ||||
\(915\) | 57.6108 | − | 18.7189i | 1.90455 | − | 0.618827i | ||||
\(916\) | 5.01578i | 0.165726i | ||||||||
\(917\) | 0.711155 | + | 0.978821i | 0.0234844 | + | 0.0323235i | ||||
\(918\) | −0.0445827 | + | 0.137211i | −0.00147145 | + | 0.00452865i | ||||
\(919\) | 22.3458 | − | 30.7564i | 0.737121 | − | 1.01456i | −0.261658 | − | 0.965161i | \(-0.584269\pi\) |
0.998779 | − | 0.0493993i | \(-0.0157307\pi\) | |||||||
\(920\) | 1.05321 | + | 3.24144i | 0.0347232 | + | 0.106867i | ||||
\(921\) | 7.23554 | + | 2.35097i | 0.238419 | + | 0.0774671i | ||||
\(922\) | −1.43659 | + | 4.42136i | −0.0473115 | + | 0.145610i | ||||
\(923\) | 0.639775 | − | 1.96903i | 0.0210585 | − | 0.0648113i | ||||
\(924\) | 20.9033 | + | 6.79189i | 0.687667 | + | 0.223437i | ||||
\(925\) | −3.46204 | − | 10.6551i | −0.113831 | − | 0.350337i | ||||
\(926\) | 2.04867 | − | 2.81975i | 0.0673234 | − | 0.0926627i | ||||
\(927\) | −1.08767 | + | 3.34751i | −0.0357238 | + | 0.109947i | ||||
\(928\) | 1.95810 | + | 2.69510i | 0.0642779 | + | 0.0884710i | ||||
\(929\) | 13.3863i | 0.439189i | 0.975591 | + | 0.219594i | \(0.0704734\pi\) | ||||
−0.975591 | + | 0.219594i | \(0.929527\pi\) | |||||||
\(930\) | 0.363387 | − | 0.118072i | 0.0119159 | − | 0.00387173i | ||||
\(931\) | −4.90446 | − | 6.75041i | −0.160737 | − | 0.221236i | ||||
\(932\) | 7.14579 | − | 9.83533i | 0.234068 | − | 0.322167i | ||||
\(933\) | −9.86021 | − | 7.16386i | −0.322809 | − | 0.234534i | ||||
\(934\) | −2.43199 | −0.0795773 | ||||||||
\(935\) | 40.2791 | + | 29.2645i | 1.31727 | + | 0.957051i | ||||
\(936\) | 0.702755 | + | 0.228339i | 0.0229703 | + | 0.00746350i | ||||
\(937\) | −30.4187 | + | 9.88363i | −0.993735 | + | 0.322884i | −0.760360 | − | 0.649502i | \(-0.774977\pi\) |
−0.233376 | + | 0.972387i | \(0.574977\pi\) | |||||||
\(938\) | −0.452324 | + | 0.328633i | −0.0147689 | + | 0.0107302i | ||||
\(939\) | 8.43443 | − | 6.12797i | 0.275247 | − | 0.199979i | ||||
\(940\) | 32.6904i | 1.06624i | ||||||||
\(941\) | −6.35211 | − | 19.5498i | −0.207073 | − | 0.637304i | −0.999622 | − | 0.0274964i | \(-0.991247\pi\) |
0.792549 | − | 0.609808i | \(-0.208753\pi\) | |||||||
\(942\) | 4.09345 | 0.133372 | ||||||||
\(943\) | 16.0425 | + | 13.8366i | 0.522415 | + | 0.450582i | ||||
\(944\) | 25.5101 | 0.830283 | ||||||||
\(945\) | −0.0828886 | − | 0.255105i | −0.00269637 | − | 0.00829856i | ||||
\(946\) | − | 8.44246i | − | 0.274488i | ||||||
\(947\) | −16.1336 | + | 11.7217i | −0.524271 | + | 0.380905i | −0.818210 | − | 0.574919i | \(-0.805034\pi\) |
0.293939 | + | 0.955824i | \(0.405034\pi\) | |||||||
\(948\) | 29.2910 | − | 21.2812i | 0.951329 | − | 0.691181i | ||||
\(949\) | −2.60295 | + | 0.845751i | −0.0844954 | + | 0.0274542i | ||||
\(950\) | 2.30350 | + | 0.748452i | 0.0747354 | + | 0.0242830i | ||||
\(951\) | 53.2663 | + | 38.7002i | 1.72728 | + | 1.25494i | ||||
\(952\) | −3.73312 | −0.120991 | ||||||||
\(953\) | 18.2617 | + | 13.2679i | 0.591556 | + | 0.429791i | 0.842872 | − | 0.538115i | \(-0.180863\pi\) |
−0.251316 | + | 0.967905i | \(0.580863\pi\) | |||||||
\(954\) | −0.113978 | + | 0.156877i | −0.00369016 | + | 0.00507907i | ||||
\(955\) | 17.1742 | + | 23.6382i | 0.555744 | + | 0.764916i | ||||
\(956\) | −26.3725 | + | 8.56893i | −0.852946 | + | 0.277139i | ||||
\(957\) | 21.0931i | 0.681844i | ||||||||
\(958\) | −2.73110 | − | 3.75903i | −0.0882377 | − | 0.121449i | ||||
\(959\) | −0.215793 | + | 0.664141i | −0.00696830 | + | 0.0214462i | ||||
\(960\) | 18.8782 | − | 25.9836i | 0.609290 | − | 0.838616i | ||||
\(961\) | −9.46856 | − | 29.1412i | −0.305437 | − | 0.940039i | ||||
\(962\) | 0.330451 | + | 0.107370i | 0.0106542 | + | 0.00346175i | ||||
\(963\) | −14.8202 | + | 45.6120i | −0.477575 | + | 1.46982i | ||||
\(964\) | −11.5053 | + | 35.4098i | −0.370562 | + | 1.14047i | ||||
\(965\) | 29.1968 | + | 9.48661i | 0.939878 | + | 0.305385i | ||||
\(966\) | −0.373626 | − | 1.14990i | −0.0120212 | − | 0.0369975i | ||||
\(967\) | −0.592611 | + | 0.815659i | −0.0190571 | + | 0.0262298i | −0.818439 | − | 0.574593i | \(-0.805160\pi\) |
0.799382 | + | 0.600823i | \(0.205160\pi\) | |||||||
\(968\) | 1.70899 | − | 5.25972i | 0.0549290 | − | 0.169054i | ||||
\(969\) | 76.3544 | + | 105.093i | 2.45286 | + | 3.37607i | ||||
\(970\) | − | 2.13231i | − | 0.0684645i | ||||||
\(971\) | −11.9917 | + | 3.89634i | −0.384832 | + | 0.125040i | −0.495043 | − | 0.868869i | \(-0.664848\pi\) |
0.110210 | + | 0.993908i | \(0.464848\pi\) | |||||||
\(972\) | −25.7523 | − | 35.4451i | −0.826007 | − | 1.13690i | ||||
\(973\) | −2.52964 | + | 3.48175i | −0.0810965 | + | 0.111620i | ||||
\(974\) | −3.86616 | − | 2.80893i | −0.123880 | − | 0.0900039i | ||||
\(975\) | 1.96798 | 0.0630257 | ||||||||
\(976\) | −44.1280 | − | 32.0609i | −1.41250 | − | 1.02624i | ||||
\(977\) | −6.94519 | − | 2.25663i | −0.222196 | − | 0.0721960i | 0.195803 | − | 0.980643i | \(-0.437269\pi\) |
−0.418000 | + | 0.908447i | \(0.637269\pi\) | |||||||
\(978\) | −1.17005 | + | 0.380172i | −0.0374141 | + | 0.0121566i | ||||
\(979\) | 51.3976 | − | 37.3426i | 1.64268 | − | 1.19347i | ||||
\(980\) | 2.79201 | − | 2.02851i | 0.0891873 | − | 0.0647984i | ||||
\(981\) | − | 53.4929i | − | 1.70790i | ||||||
\(982\) | −0.355812 | − | 1.09508i | −0.0113544 | − | 0.0349453i | ||||
\(983\) | −10.3462 | −0.329991 | −0.164996 | − | 0.986294i | \(-0.552761\pi\) | ||||
−0.164996 | + | 0.986294i | \(0.552761\pi\) | |||||||
\(984\) | −0.775286 | + | 9.27590i | −0.0247152 | + | 0.295705i | ||||
\(985\) | 20.3859 | 0.649550 | ||||||||
\(986\) | −0.550484 | − | 1.69422i | −0.0175310 | − | 0.0539548i | ||||
\(987\) | − | 23.3231i | − | 0.742381i | ||||||
\(988\) | 5.45668 | − | 3.96451i | 0.173600 | − | 0.126128i | ||||
\(989\) | 33.7374 | − | 24.5117i | 1.07279 | − | 0.779426i | ||||
\(990\) | −3.40383 | + | 1.10597i | −0.108181 | + | 0.0351500i | ||||
\(991\) | 43.4075 | + | 14.1039i | 1.37888 | + | 0.448027i | 0.902302 | − | 0.431103i | \(-0.141876\pi\) |
0.476582 | + | 0.879130i | \(0.341876\pi\) | |||||||
\(992\) | −0.850811 | − | 0.618150i | −0.0270133 | − | 0.0196263i | ||||
\(993\) | −81.7677 | −2.59482 | ||||||||
\(994\) | −0.608296 | − | 0.441953i | −0.0192940 | − | 0.0140179i | ||||
\(995\) | −5.52831 | + | 7.60906i | −0.175259 | + | 0.241223i | ||||
\(996\) | −20.7319 | − | 28.5350i | −0.656915 | − | 0.904165i | ||||
\(997\) | −41.3372 | + | 13.4313i | −1.30916 | + | 0.425372i | −0.878760 | − | 0.477265i | \(-0.841628\pi\) |
−0.430402 | + | 0.902637i | \(0.641628\pi\) | |||||||
\(998\) | 3.35608i | 0.106235i | ||||||||
\(999\) | 0.517636 | + | 0.712465i | 0.0163773 | + | 0.0225414i |
(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 | 287.2.n.a.64.12 | ✓ | 88 | |
41.25 | even | 10 | inner | 287.2.n.a.148.12 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.n.a.64.12 | ✓ | 88 | 1.1 | even | 1 | trivial | |
287.2.n.a.148.12 | yes | 88 | 41.25 | even | 10 | inner |