Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [633,2,Mod(632,633)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(633, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("633.632");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 633 = 3 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 633.d (of order \(2\), degree \(1\), 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: | \(5.05453044795\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 632.51 | ||
Character | \(\chi\) | \(=\) | 633.632 |
Dual form | 633.2.d.a.632.52 |
$q$-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 \(\left(\mathbb{Z}/633\mathbb{Z}\right)^\times\).
\(n\) | \(212\) | \(424\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.55050 | 1.09637 | 0.548183 | − | 0.836358i | \(-0.315320\pi\) | ||||
0.548183 | + | 0.836358i | \(0.315320\pi\) | |||||||
\(3\) | 1.58549 | − | 0.697289i | 0.915385 | − | 0.402580i | ||||
\(4\) | 0.404037 | 0.202018 | ||||||||
\(5\) | − | 3.05483i | − | 1.36616i | −0.730344 | − | 0.683080i | \(-0.760640\pi\) | ||
0.730344 | − | 0.683080i | \(-0.239360\pi\) | |||||||
\(6\) | 2.45830 | − | 1.08114i | 1.00360 | − | 0.441375i | ||||
\(7\) | − | 1.87042i | − | 0.706953i | −0.935443 | − | 0.353477i | \(-0.884999\pi\) | ||
0.935443 | − | 0.353477i | \(-0.115001\pi\) | |||||||
\(8\) | −2.47453 | −0.874880 | ||||||||
\(9\) | 2.02757 | − | 2.21109i | 0.675858 | − | 0.737032i | ||||
\(10\) | − | 4.73649i | − | 1.49781i | ||||||
\(11\) | 3.63571i | 1.09621i | 0.836410 | + | 0.548104i | \(0.184650\pi\) | ||||
−0.836410 | + | 0.548104i | \(0.815350\pi\) | |||||||
\(12\) | 0.640597 | − | 0.281730i | 0.184924 | − | 0.0813286i | ||||
\(13\) | −3.56435 | −0.988572 | −0.494286 | − | 0.869299i | \(-0.664570\pi\) | ||||
−0.494286 | + | 0.869299i | \(0.664570\pi\) | |||||||
\(14\) | − | 2.90008i | − | 0.775079i | ||||||
\(15\) | −2.13010 | − | 4.84340i | −0.549989 | − | 1.25056i | ||||
\(16\) | −4.64483 | −1.16121 | ||||||||
\(17\) | 2.71142 | 0.657615 | 0.328808 | − | 0.944397i | \(-0.393353\pi\) | ||||
0.328808 | + | 0.944397i | \(0.393353\pi\) | |||||||
\(18\) | 3.14375 | − | 3.42829i | 0.740988 | − | 0.808056i | ||||
\(19\) | 5.44492 | 1.24915 | 0.624575 | − | 0.780965i | \(-0.285272\pi\) | ||||
0.624575 | + | 0.780965i | \(0.285272\pi\) | |||||||
\(20\) | − | 1.23426i | − | 0.275989i | ||||||
\(21\) | −1.30423 | − | 2.96554i | −0.284605 | − | 0.647134i | ||||
\(22\) | 5.63716i | 1.20185i | ||||||||
\(23\) | 1.21310 | 0.252950 | 0.126475 | − | 0.991970i | \(-0.459634\pi\) | ||||
0.126475 | + | 0.991970i | \(0.459634\pi\) | |||||||
\(24\) | −3.92336 | + | 1.72547i | −0.800852 | + | 0.352209i | ||||
\(25\) | −4.33196 | −0.866392 | ||||||||
\(26\) | −5.52650 | −1.08384 | ||||||||
\(27\) | 1.67293 | − | 4.91948i | 0.321956 | − | 0.946755i | ||||
\(28\) | − | 0.755719i | − | 0.142817i | ||||||
\(29\) | 1.12027 | 0.208029 | 0.104015 | − | 0.994576i | \(-0.466831\pi\) | ||||
0.104015 | + | 0.994576i | \(0.466831\pi\) | |||||||
\(30\) | −3.30271 | − | 7.50968i | −0.602989 | − | 1.37107i | ||||
\(31\) | 7.12653i | 1.27996i | 0.768391 | + | 0.639981i | \(0.221058\pi\) | ||||
−0.768391 | + | 0.639981i | \(0.778942\pi\) | |||||||
\(32\) | −2.25272 | −0.398228 | ||||||||
\(33\) | 2.53514 | + | 5.76440i | 0.441312 | + | 1.00345i | ||||
\(34\) | 4.20404 | 0.720987 | ||||||||
\(35\) | −5.71381 | −0.965810 | ||||||||
\(36\) | 0.819214 | − | 0.893363i | 0.136536 | − | 0.148894i | ||||
\(37\) | 4.14318 | 0.681135 | 0.340567 | − | 0.940220i | \(-0.389381\pi\) | ||||
0.340567 | + | 0.940220i | \(0.389381\pi\) | |||||||
\(38\) | 8.44232 | 1.36953 | ||||||||
\(39\) | −5.65124 | + | 2.48538i | −0.904923 | + | 0.397979i | ||||
\(40\) | 7.55927i | 1.19523i | ||||||||
\(41\) | −3.56967 | −0.557489 | −0.278745 | − | 0.960365i | \(-0.589918\pi\) | ||||
−0.278745 | + | 0.960365i | \(0.589918\pi\) | |||||||
\(42\) | −2.02220 | − | 4.59806i | −0.312032 | − | 0.709496i | ||||
\(43\) | 8.68990 | 1.32520 | 0.662599 | − | 0.748975i | \(-0.269453\pi\) | ||||
0.662599 | + | 0.748975i | \(0.269453\pi\) | |||||||
\(44\) | 1.46896i | 0.221454i | ||||||||
\(45\) | −6.75451 | − | 6.19389i | −1.00690 | − | 0.923330i | ||||
\(46\) | 1.88091 | 0.277326 | ||||||||
\(47\) | − | 2.43183i | − | 0.354719i | −0.984146 | − | 0.177359i | \(-0.943245\pi\) | ||
0.984146 | − | 0.177359i | \(-0.0567555\pi\) | |||||||
\(48\) | −7.36434 | + | 3.23879i | −1.06295 | + | 0.467479i | ||||
\(49\) | 3.50152 | 0.500217 | ||||||||
\(50\) | −6.71668 | −0.949882 | ||||||||
\(51\) | 4.29893 | − | 1.89064i | 0.601971 | − | 0.264743i | ||||
\(52\) | −1.44013 | −0.199710 | ||||||||
\(53\) | − | 5.03222i | − | 0.691228i | −0.938377 | − | 0.345614i | \(-0.887671\pi\) | ||
0.938377 | − | 0.345614i | \(-0.112329\pi\) | |||||||
\(54\) | 2.59387 | − | 7.62763i | 0.352982 | − | 1.03799i | ||||
\(55\) | 11.1065 | 1.49760 | ||||||||
\(56\) | 4.62842i | 0.618499i | ||||||||
\(57\) | 8.63288 | − | 3.79668i | 1.14345 | − | 0.502883i | ||||
\(58\) | 1.73698 | 0.228076 | ||||||||
\(59\) | 2.00137i | 0.260556i | 0.991477 | + | 0.130278i | \(0.0415870\pi\) | ||||
−0.991477 | + | 0.130278i | \(0.958413\pi\) | |||||||
\(60\) | −0.860637 | − | 1.95691i | −0.111108 | − | 0.252636i | ||||
\(61\) | 7.72503i | 0.989089i | 0.869152 | + | 0.494545i | \(0.164665\pi\) | ||||
−0.869152 | + | 0.494545i | \(0.835335\pi\) | |||||||
\(62\) | 11.0496i | 1.40331i | ||||||||
\(63\) | −4.13568 | − | 3.79242i | −0.521047 | − | 0.477800i | ||||
\(64\) | 5.79683 | 0.724604 | ||||||||
\(65\) | 10.8885i | 1.35055i | ||||||||
\(66\) | 3.93073 | + | 8.93767i | 0.483839 | + | 1.10015i | ||||
\(67\) | 10.4292i | 1.27413i | 0.770810 | + | 0.637065i | \(0.219852\pi\) | ||||
−0.770810 | + | 0.637065i | \(0.780148\pi\) | |||||||
\(68\) | 1.09551 | 0.132850 | ||||||||
\(69\) | 1.92337 | − | 0.845885i | 0.231546 | − | 0.101833i | ||||
\(70\) | −8.85924 | −1.05888 | ||||||||
\(71\) | − | 6.67751i | − | 0.792475i | −0.918148 | − | 0.396237i | \(-0.870316\pi\) | ||
0.918148 | − | 0.396237i | \(-0.129684\pi\) | |||||||
\(72\) | −5.01730 | + | 5.47143i | −0.591295 | + | 0.644814i | ||||
\(73\) | −8.63060 | −1.01014 | −0.505068 | − | 0.863080i | \(-0.668533\pi\) | ||||
−0.505068 | + | 0.863080i | \(0.668533\pi\) | |||||||
\(74\) | 6.42399 | 0.746773 | ||||||||
\(75\) | −6.86829 | + | 3.02063i | −0.793082 | + | 0.348792i | ||||
\(76\) | 2.19995 | 0.252351 | ||||||||
\(77\) | 6.80032 | 0.774968 | ||||||||
\(78\) | −8.76223 | + | 3.85357i | −0.992127 | + | 0.436331i | ||||
\(79\) | 1.49382 | 0.168068 | 0.0840342 | − | 0.996463i | \(-0.473220\pi\) | ||||
0.0840342 | + | 0.996463i | \(0.473220\pi\) | |||||||
\(80\) | 14.1891i | 1.58639i | ||||||||
\(81\) | −0.777881 | − | 8.96632i | −0.0864312 | − | 0.996258i | ||||
\(82\) | −5.53476 | −0.611212 | ||||||||
\(83\) | − | 3.53342i | − | 0.387844i | −0.981017 | − | 0.193922i | \(-0.937879\pi\) | ||
0.981017 | − | 0.193922i | \(-0.0621208\pi\) | |||||||
\(84\) | −0.526955 | − | 1.19819i | −0.0574955 | − | 0.130733i | ||||
\(85\) | − | 8.28291i | − | 0.898407i | ||||||
\(86\) | 13.4737 | 1.45290 | ||||||||
\(87\) | 1.77618 | − | 0.781155i | 0.190427 | − | 0.0837486i | ||||
\(88\) | − | 8.99669i | − | 0.959051i | ||||||
\(89\) | −17.9793 | −1.90580 | −0.952901 | − | 0.303281i | \(-0.901918\pi\) | ||||
−0.952901 | + | 0.303281i | \(0.901918\pi\) | |||||||
\(90\) | −10.4728 | − | 9.60359i | −1.10393 | − | 1.01231i | ||||
\(91\) | 6.66683i | 0.698874i | ||||||||
\(92\) | 0.490139 | 0.0511005 | ||||||||
\(93\) | 4.96925 | + | 11.2991i | 0.515287 | + | 1.17166i | ||||
\(94\) | − | 3.77054i | − | 0.388901i | ||||||
\(95\) | − | 16.6333i | − | 1.70654i | ||||||
\(96\) | −3.57167 | + | 1.57080i | −0.364532 | + | 0.160319i | ||||
\(97\) | 18.3345i | 1.86159i | 0.365541 | + | 0.930795i | \(0.380884\pi\) | ||||
−0.365541 | + | 0.930795i | \(0.619116\pi\) | |||||||
\(98\) | 5.42909 | 0.548421 | ||||||||
\(99\) | 8.03890 | + | 7.37168i | 0.807940 | + | 0.740882i | ||||
\(100\) | −1.75027 | −0.175027 | ||||||||
\(101\) | − | 13.7310i | − | 1.36628i | −0.730286 | − | 0.683141i | \(-0.760613\pi\) | ||
0.730286 | − | 0.683141i | \(-0.239387\pi\) | |||||||
\(102\) | 6.66548 | − | 2.93143i | 0.659980 | − | 0.290255i | ||||
\(103\) | −7.79457 | −0.768022 | −0.384011 | − | 0.923328i | \(-0.625458\pi\) | ||||
−0.384011 | + | 0.923328i | \(0.625458\pi\) | |||||||
\(104\) | 8.82010 | 0.864882 | ||||||||
\(105\) | −9.05921 | + | 3.98418i | −0.884088 | + | 0.388816i | ||||
\(106\) | − | 7.80243i | − | 0.757839i | ||||||
\(107\) | 6.84821i | 0.662042i | 0.943623 | + | 0.331021i | \(0.107393\pi\) | ||||
−0.943623 | + | 0.331021i | \(0.892607\pi\) | |||||||
\(108\) | 0.675926 | − | 1.98765i | 0.0650410 | − | 0.191262i | ||||
\(109\) | −16.0371 | −1.53608 | −0.768039 | − | 0.640403i | \(-0.778768\pi\) | ||||
−0.768039 | + | 0.640403i | \(0.778768\pi\) | |||||||
\(110\) | 17.2205 | 1.64191 | ||||||||
\(111\) | 6.56899 | − | 2.88900i | 0.623500 | − | 0.274211i | ||||
\(112\) | 8.68779i | 0.820919i | ||||||||
\(113\) | 0.798026i | 0.0750720i | 0.999295 | + | 0.0375360i | \(0.0119509\pi\) | ||||
−0.999295 | + | 0.0375360i | \(0.988049\pi\) | |||||||
\(114\) | 13.3852 | − | 5.88674i | 1.25364 | − | 0.551344i | ||||
\(115\) | − | 3.70582i | − | 0.345570i | ||||||
\(116\) | 0.452631 | 0.0420258 | ||||||||
\(117\) | −7.22698 | + | 7.88111i | −0.668134 | + | 0.728609i | ||||
\(118\) | 3.10312i | 0.285665i | ||||||||
\(119\) | − | 5.07149i | − | 0.464903i | ||||||
\(120\) | 5.27100 | + | 11.9852i | 0.481174 | + | 1.09409i | ||||
\(121\) | −2.21840 | −0.201673 | ||||||||
\(122\) | 11.9776i | 1.08440i | ||||||||
\(123\) | −5.65969 | + | 2.48910i | −0.510317 | + | 0.224434i | ||||
\(124\) | 2.87938i | 0.258576i | ||||||||
\(125\) | − | 2.04075i | − | 0.182531i | ||||||
\(126\) | −6.41235 | − | 5.88013i | −0.571258 | − | 0.523844i | ||||
\(127\) | 6.66979i | 0.591848i | 0.955211 | + | 0.295924i | \(0.0956275\pi\) | ||||
−0.955211 | + | 0.295924i | \(0.904372\pi\) | |||||||
\(128\) | 13.4934 | 1.19266 | ||||||||
\(129\) | 13.7778 | − | 6.05938i | 1.21307 | − | 0.533498i | ||||
\(130\) | 16.8825i | 1.48069i | ||||||||
\(131\) | −17.8176 | −1.55673 | −0.778367 | − | 0.627809i | \(-0.783952\pi\) | ||||
−0.778367 | + | 0.627809i | \(0.783952\pi\) | |||||||
\(132\) | 1.02429 | + | 2.32903i | 0.0891531 | + | 0.202716i | ||||
\(133\) | − | 10.1843i | − | 0.883090i | ||||||
\(134\) | 16.1704i | 1.39691i | ||||||||
\(135\) | −15.0282 | − | 5.11052i | −1.29342 | − | 0.439843i | ||||
\(136\) | −6.70949 | −0.575334 | ||||||||
\(137\) | 13.6875i | 1.16940i | 0.811250 | + | 0.584700i | \(0.198788\pi\) | ||||
−0.811250 | + | 0.584700i | \(0.801212\pi\) | |||||||
\(138\) | 2.98218 | − | 1.31154i | 0.253860 | − | 0.111646i | ||||
\(139\) | −7.77214 | −0.659225 | −0.329612 | − | 0.944116i | \(-0.606918\pi\) | ||||
−0.329612 | + | 0.944116i | \(0.606918\pi\) | |||||||
\(140\) | −2.30859 | −0.195111 | ||||||||
\(141\) | −1.69569 | − | 3.85565i | −0.142803 | − | 0.324704i | ||||
\(142\) | − | 10.3535i | − | 0.868843i | ||||||
\(143\) | − | 12.9589i | − | 1.08368i | ||||||
\(144\) | −9.41774 | + | 10.2702i | −0.784811 | + | 0.855846i | ||||
\(145\) | − | 3.42224i | − | 0.284201i | ||||||
\(146\) | −13.3817 | −1.10748 | ||||||||
\(147\) | 5.55164 | − | 2.44157i | 0.457891 | − | 0.201378i | ||||
\(148\) | 1.67400 | 0.137602 | ||||||||
\(149\) | −4.07410 | −0.333764 | −0.166882 | − | 0.985977i | \(-0.553370\pi\) | ||||
−0.166882 | + | 0.985977i | \(0.553370\pi\) | |||||||
\(150\) | −10.6492 | + | 4.68347i | −0.869508 | + | 0.382404i | ||||
\(151\) | 19.8336 | 1.61404 | 0.807019 | − | 0.590526i | \(-0.201080\pi\) | ||||
0.807019 | + | 0.590526i | \(0.201080\pi\) | |||||||
\(152\) | −13.4736 | −1.09286 | ||||||||
\(153\) | 5.49760 | − | 5.99520i | 0.444455 | − | 0.484683i | ||||
\(154\) | 10.5439 | 0.849648 | ||||||||
\(155\) | 21.7703 | 1.74863 | ||||||||
\(156\) | −2.28331 | + | 1.00418i | −0.182811 | + | 0.0803991i | ||||
\(157\) | − | 10.6574i | − | 0.850552i | −0.905064 | − | 0.425276i | \(-0.860177\pi\) | ||
0.905064 | − | 0.425276i | \(-0.139823\pi\) | |||||||
\(158\) | 2.31617 | 0.184264 | ||||||||
\(159\) | −3.50891 | − | 7.97854i | −0.278275 | − | 0.632739i | ||||
\(160\) | 6.88165i | 0.544043i | ||||||||
\(161\) | − | 2.26902i | − | 0.178824i | ||||||
\(162\) | −1.20610 | − | 13.9022i | −0.0947602 | − | 1.09226i | ||||
\(163\) | −5.45685 | −0.427413 | −0.213707 | − | 0.976898i | \(-0.568554\pi\) | ||||
−0.213707 | + | 0.976898i | \(0.568554\pi\) | |||||||
\(164\) | −1.44228 | −0.112623 | ||||||||
\(165\) | 17.6092 | − | 7.74442i | 1.37088 | − | 0.602902i | ||||
\(166\) | − | 5.47856i | − | 0.425219i | ||||||
\(167\) | −2.37270 | −0.183605 | −0.0918026 | − | 0.995777i | \(-0.529263\pi\) | ||||
−0.0918026 | + | 0.995777i | \(0.529263\pi\) | |||||||
\(168\) | 3.22735 | + | 7.33833i | 0.248995 | + | 0.566165i | ||||
\(169\) | −0.295438 | −0.0227260 | ||||||||
\(170\) | − | 12.8426i | − | 0.984983i | ||||||
\(171\) | 11.0400 | − | 12.0392i | 0.844248 | − | 0.920663i | ||||
\(172\) | 3.51104 | 0.267714 | ||||||||
\(173\) | 17.7539i | 1.34980i | 0.737908 | + | 0.674902i | \(0.235814\pi\) | ||||
−0.737908 | + | 0.674902i | \(0.764186\pi\) | |||||||
\(174\) | 2.75397 | − | 1.21118i | 0.208778 | − | 0.0918191i | ||||
\(175\) | 8.10259i | 0.612498i | ||||||||
\(176\) | − | 16.8873i | − | 1.27292i | ||||||
\(177\) | 1.39553 | + | 3.17316i | 0.104895 | + | 0.238509i | ||||
\(178\) | −27.8768 | −2.08946 | ||||||||
\(179\) | − | 4.96203i | − | 0.370879i | −0.982656 | − | 0.185440i | \(-0.940629\pi\) | ||
0.982656 | − | 0.185440i | \(-0.0593709\pi\) | |||||||
\(180\) | −2.72907 | − | 2.50256i | −0.203413 | − | 0.186530i | ||||
\(181\) | − | 4.99539i | − | 0.371304i | −0.982616 | − | 0.185652i | \(-0.940560\pi\) | ||
0.982616 | − | 0.185652i | \(-0.0594398\pi\) | |||||||
\(182\) | 10.3369i | 0.766221i | ||||||||
\(183\) | 5.38658 | + | 12.2480i | 0.398188 | + | 0.905397i | ||||
\(184\) | −3.00187 | −0.221301 | ||||||||
\(185\) | − | 12.6567i | − | 0.930539i | ||||||
\(186\) | 7.70480 | + | 17.5191i | 0.564944 | + | 1.28457i | ||||
\(187\) | 9.85793i | 0.720883i | ||||||||
\(188\) | − | 0.982548i | − | 0.0716597i | ||||||
\(189\) | −9.20151 | − | 3.12909i | −0.669311 | − | 0.227608i | ||||
\(190\) | − | 25.7898i | − | 1.87099i | ||||||
\(191\) | −11.9396 | −0.863919 | −0.431959 | − | 0.901893i | \(-0.642178\pi\) | ||||
−0.431959 | + | 0.901893i | \(0.642178\pi\) | |||||||
\(192\) | 9.19083 | − | 4.04207i | 0.663291 | − | 0.291711i | ||||
\(193\) | 26.7328 | 1.92427 | 0.962133 | − | 0.272581i | \(-0.0878772\pi\) | ||||
0.962133 | + | 0.272581i | \(0.0878772\pi\) | |||||||
\(194\) | 28.4276i | 2.04098i | ||||||||
\(195\) | 7.59240 | + | 17.2636i | 0.543703 | + | 1.23627i | ||||
\(196\) | 1.41474 | 0.101053 | ||||||||
\(197\) | −17.9186 | −1.27665 | −0.638323 | − | 0.769768i | \(-0.720372\pi\) | ||||
−0.638323 | + | 0.769768i | \(0.720372\pi\) | |||||||
\(198\) | 12.4643 | + | 11.4298i | 0.885798 | + | 0.812277i | ||||
\(199\) | −8.22574 | −0.583107 | −0.291554 | − | 0.956554i | \(-0.594172\pi\) | ||||
−0.291554 | + | 0.956554i | \(0.594172\pi\) | |||||||
\(200\) | 10.7196 | 0.757989 | ||||||||
\(201\) | 7.27217 | + | 16.5354i | 0.512939 | + | 1.16632i | ||||
\(202\) | − | 21.2898i | − | 1.49795i | ||||||
\(203\) | − | 2.09538i | − | 0.147067i | ||||||
\(204\) | 1.73693 | − | 0.763889i | 0.121609 | − | 0.0534829i | ||||
\(205\) | 10.9047i | 0.761619i | ||||||||
\(206\) | −12.0855 | −0.842033 | ||||||||
\(207\) | 2.45966 | − | 2.68229i | 0.170958 | − | 0.186432i | ||||
\(208\) | 16.5558 | 1.14794 | ||||||||
\(209\) | 19.7962i | 1.36933i | ||||||||
\(210\) | −14.0463 | + | 6.17745i | −0.969284 | + | 0.426285i | ||||
\(211\) | 3.39101 | − | 14.1245i | 0.233447 | − | 0.972370i | ||||
\(212\) | − | 2.03320i | − | 0.139641i | ||||||
\(213\) | −4.65616 | − | 10.5871i | −0.319035 | − | 0.725419i | ||||
\(214\) | 10.6181i | 0.725840i | ||||||||
\(215\) | − | 26.5461i | − | 1.81043i | ||||||
\(216\) | −4.13973 | + | 12.1734i | −0.281673 | + | 0.828297i | ||||
\(217\) | 13.3296 | 0.904873 | ||||||||
\(218\) | −24.8655 | −1.68410 | ||||||||
\(219\) | −13.6838 | + | 6.01803i | −0.924663 | + | 0.406661i | ||||
\(220\) | 4.48742 | 0.302542 | ||||||||
\(221\) | −9.66443 | −0.650100 | ||||||||
\(222\) | 10.1852 | − | 4.47938i | 0.683585 | − | 0.300636i | ||||
\(223\) | 2.78407i | 0.186435i | 0.995646 | + | 0.0932174i | \(0.0297152\pi\) | ||||
−0.995646 | + | 0.0932174i | \(0.970285\pi\) | |||||||
\(224\) | 4.21353i | 0.281528i | ||||||||
\(225\) | −8.78337 | + | 9.57837i | −0.585558 | + | 0.638558i | ||||
\(226\) | 1.23734i | 0.0823064i | ||||||||
\(227\) | 13.6328i | 0.904839i | 0.891805 | + | 0.452420i | \(0.149439\pi\) | ||||
−0.891805 | + | 0.452420i | \(0.850561\pi\) | |||||||
\(228\) | 3.48800 | − | 1.53400i | 0.230998 | − | 0.101592i | ||||
\(229\) | 18.7149i | 1.23671i | 0.785898 | + | 0.618356i | \(0.212201\pi\) | ||||
−0.785898 | + | 0.618356i | \(0.787799\pi\) | |||||||
\(230\) | − | 5.74586i | − | 0.378871i | ||||||
\(231\) | 10.7819 | − | 4.74179i | 0.709394 | − | 0.311987i | ||||
\(232\) | −2.77215 | −0.182001 | ||||||||
\(233\) | 23.4961 | 1.53928 | 0.769639 | − | 0.638479i | \(-0.220436\pi\) | ||||
0.769639 | + | 0.638479i | \(0.220436\pi\) | |||||||
\(234\) | −11.2054 | + | 12.2196i | −0.732520 | + | 0.798822i | ||||
\(235\) | −7.42881 | −0.484602 | ||||||||
\(236\) | 0.808627i | 0.0526371i | ||||||||
\(237\) | 2.36845 | − | 1.04163i | 0.153847 | − | 0.0676610i | ||||
\(238\) | − | 7.86333i | − | 0.509704i | ||||||
\(239\) | 4.77015 | 0.308556 | 0.154278 | − | 0.988028i | \(-0.450695\pi\) | ||||
0.154278 | + | 0.988028i | \(0.450695\pi\) | |||||||
\(240\) | 9.89394 | + | 22.4968i | 0.638651 | + | 1.45216i | ||||
\(241\) | 17.0609 | 1.09899 | 0.549493 | − | 0.835498i | \(-0.314821\pi\) | ||||
0.549493 | + | 0.835498i | \(0.314821\pi\) | |||||||
\(242\) | −3.43963 | −0.221108 | ||||||||
\(243\) | −7.48545 | − | 13.6736i | −0.480192 | − | 0.877164i | ||||
\(244\) | 3.12120i | 0.199814i | ||||||||
\(245\) | − | 10.6965i | − | 0.683377i | ||||||
\(246\) | −8.77533 | + | 3.85933i | −0.559495 | + | 0.246062i | ||||
\(247\) | −19.4076 | −1.23487 | ||||||||
\(248\) | − | 17.6348i | − | 1.11981i | ||||||
\(249\) | −2.46382 | − | 5.60222i | −0.156138 | − | 0.355026i | ||||
\(250\) | − | 3.16418i | − | 0.200120i | ||||||
\(251\) | 8.23964 | 0.520081 | 0.260041 | − | 0.965598i | \(-0.416264\pi\) | ||||
0.260041 | + | 0.965598i | \(0.416264\pi\) | |||||||
\(252\) | −1.67097 | − | 1.53228i | −0.105261 | − | 0.0965244i | ||||
\(253\) | 4.41050i | 0.277286i | ||||||||
\(254\) | 10.3415i | 0.648882i | ||||||||
\(255\) | −5.77558 | − | 13.1325i | −0.361681 | − | 0.822388i | ||||
\(256\) | 9.32778 | 0.582987 | ||||||||
\(257\) | − | 29.2209i | − | 1.82275i | −0.411575 | − | 0.911376i | \(-0.635021\pi\) | ||
0.411575 | − | 0.911376i | \(-0.364979\pi\) | |||||||
\(258\) | 21.3624 | − | 9.39504i | 1.32996 | − | 0.584909i | ||||
\(259\) | − | 7.74950i | − | 0.481530i | ||||||
\(260\) | 4.39933i | 0.272835i | ||||||||
\(261\) | 2.27144 | − | 2.47703i | 0.140598 | − | 0.153324i | ||||
\(262\) | −27.6262 | −1.70675 | ||||||||
\(263\) | 16.0038i | 0.986838i | 0.869792 | + | 0.493419i | \(0.164253\pi\) | ||||
−0.869792 | + | 0.493419i | \(0.835747\pi\) | |||||||
\(264\) | −6.27330 | − | 14.2642i | −0.386095 | − | 0.877900i | ||||
\(265\) | −15.3725 | −0.944328 | ||||||||
\(266\) | − | 15.7907i | − | 0.968190i | ||||||
\(267\) | −28.5061 | + | 12.5368i | −1.74454 | + | 0.767238i | ||||
\(268\) | 4.21378i | 0.257397i | ||||||||
\(269\) | 7.47467i | 0.455739i | 0.973692 | + | 0.227869i | \(0.0731759\pi\) | ||||
−0.973692 | + | 0.227869i | \(0.926824\pi\) | |||||||
\(270\) | −23.3011 | − | 7.92383i | −1.41806 | − | 0.482229i | ||||
\(271\) | 24.4241i | 1.48366i | 0.670590 | + | 0.741828i | \(0.266041\pi\) | ||||
−0.670590 | + | 0.741828i | \(0.733959\pi\) | |||||||
\(272\) | −12.5941 | −0.763627 | ||||||||
\(273\) | 4.64871 | + | 10.5702i | 0.281353 | + | 0.639738i | ||||
\(274\) | 21.2224i | 1.28209i | ||||||||
\(275\) | − | 15.7498i | − | 0.949746i | ||||||
\(276\) | 0.777111 | − | 0.341769i | 0.0467766 | − | 0.0205721i | ||||
\(277\) | −12.4094 | −0.745612 | −0.372806 | − | 0.927909i | \(-0.621604\pi\) | ||||
−0.372806 | + | 0.927909i | \(0.621604\pi\) | |||||||
\(278\) | −12.0507 | −0.722751 | ||||||||
\(279\) | 15.7574 | + | 14.4496i | 0.943372 | + | 0.865073i | ||||
\(280\) | 14.1390 | 0.844968 | ||||||||
\(281\) | − | 23.1825i | − | 1.38295i | −0.722398 | − | 0.691477i | \(-0.756960\pi\) | ||
0.722398 | − | 0.691477i | \(-0.243040\pi\) | |||||||
\(282\) | −2.62916 | − | 5.97816i | −0.156564 | − | 0.355994i | ||||
\(283\) | − | 4.84548i | − | 0.288034i | −0.989575 | − | 0.144017i | \(-0.953998\pi\) | ||
0.989575 | − | 0.144017i | \(-0.0460020\pi\) | |||||||
\(284\) | − | 2.69796i | − | 0.160094i | ||||||
\(285\) | −11.5982 | − | 26.3719i | −0.687018 | − | 1.56214i | ||||
\(286\) | − | 20.0928i | − | 1.18811i | ||||||
\(287\) | 6.67680i | 0.394119i | ||||||||
\(288\) | −4.56755 | + | 4.98097i | −0.269146 | + | 0.293506i | ||||
\(289\) | −9.64822 | −0.567542 | ||||||||
\(290\) | − | 5.30617i | − | 0.311589i | ||||||
\(291\) | 12.7845 | + | 29.0693i | 0.749440 | + | 1.70407i | ||||
\(292\) | −3.48708 | −0.204066 | ||||||||
\(293\) | 6.90218i | 0.403229i | 0.979465 | + | 0.201615i | \(0.0646189\pi\) | ||||
−0.979465 | + | 0.201615i | \(0.935381\pi\) | |||||||
\(294\) | 8.60779 | − | 3.78565i | 0.502017 | − | 0.220784i | ||||
\(295\) | 6.11383 | 0.355961 | ||||||||
\(296\) | −10.2524 | −0.595911 | ||||||||
\(297\) | 17.8858 | + | 6.08230i | 1.03784 | + | 0.352931i | ||||
\(298\) | −6.31688 | −0.365927 | ||||||||
\(299\) | −4.32393 | −0.250059 | ||||||||
\(300\) | −2.77504 | + | 1.22044i | −0.160217 | + | 0.0704624i | ||||
\(301\) | − | 16.2538i | − | 0.936852i | ||||||
\(302\) | 30.7519 | 1.76958 | ||||||||
\(303\) | −9.57446 | − | 21.7703i | −0.550038 | − | 1.25067i | ||||
\(304\) | −25.2907 | −1.45052 | ||||||||
\(305\) | 23.5986 | 1.35125 | ||||||||
\(306\) | 8.52401 | − | 9.29553i | 0.487285 | − | 0.531390i | ||||
\(307\) | 6.05351 | 0.345492 | 0.172746 | − | 0.984966i | \(-0.444736\pi\) | ||||
0.172746 | + | 0.984966i | \(0.444736\pi\) | |||||||
\(308\) | 2.74758 | 0.156558 | ||||||||
\(309\) | −12.3582 | + | 5.43507i | −0.703036 | + | 0.309191i | ||||
\(310\) | 33.7547 | 1.91714 | ||||||||
\(311\) | − | 34.1449i | − | 1.93618i | −0.250600 | − | 0.968091i | \(-0.580628\pi\) | ||
0.250600 | − | 0.968091i | \(-0.419372\pi\) | |||||||
\(312\) | 13.9842 | − | 6.15016i | 0.791699 | − | 0.348184i | ||||
\(313\) | 25.9225i | 1.46522i | 0.680646 | + | 0.732612i | \(0.261699\pi\) | ||||
−0.680646 | + | 0.732612i | \(0.738301\pi\) | |||||||
\(314\) | − | 16.5242i | − | 0.932517i | ||||||
\(315\) | −11.5852 | + | 12.6338i | −0.652751 | + | 0.711833i | ||||
\(316\) | 0.603560 | 0.0339529 | ||||||||
\(317\) | 35.2057 | 1.97735 | 0.988675 | − | 0.150073i | \(-0.0479509\pi\) | ||||
0.988675 | + | 0.150073i | \(0.0479509\pi\) | |||||||
\(318\) | −5.44055 | − | 12.3707i | −0.305091 | − | 0.693714i | ||||
\(319\) | 4.07299i | 0.228044i | ||||||||
\(320\) | − | 17.7083i | − | 0.989924i | ||||||
\(321\) | 4.77519 | + | 10.8578i | 0.266525 | + | 0.606023i | ||||
\(322\) | − | 3.51810i | − | 0.196056i | ||||||
\(323\) | 14.7634 | 0.821460 | ||||||||
\(324\) | −0.314292 | − | 3.62272i | −0.0174607 | − | 0.201262i | ||||
\(325\) | 15.4406 | 0.856490 | ||||||||
\(326\) | −8.46082 | −0.468601 | ||||||||
\(327\) | −25.4268 | + | 11.1825i | −1.40610 | + | 0.618395i | ||||
\(328\) | 8.83328 | 0.487736 | ||||||||
\(329\) | −4.54855 | −0.250769 | ||||||||
\(330\) | 27.3030 | − | 12.0077i | 1.50298 | − | 0.661002i | ||||
\(331\) | 13.9531 | 0.766931 | 0.383466 | − | 0.923555i | \(-0.374730\pi\) | ||||
0.383466 | + | 0.923555i | \(0.374730\pi\) | |||||||
\(332\) | − | 1.42763i | − | 0.0783515i | ||||||
\(333\) | 8.40061 | − | 9.16097i | 0.460351 | − | 0.502018i | ||||
\(334\) | −3.67886 | −0.201298 | ||||||||
\(335\) | 31.8594 | 1.74066 | ||||||||
\(336\) | 6.05790 | + | 13.7744i | 0.330486 | + | 0.751456i | ||||
\(337\) | 33.8938 | 1.84631 | 0.923157 | − | 0.384423i | \(-0.125600\pi\) | ||||
0.923157 | + | 0.384423i | \(0.125600\pi\) | |||||||
\(338\) | −0.458075 | −0.0249160 | ||||||||
\(339\) | 0.556455 | + | 1.26527i | 0.0302225 | + | 0.0687198i | ||||
\(340\) | − | 3.34660i | − | 0.181495i | ||||||
\(341\) | −25.9100 | −1.40311 | ||||||||
\(342\) | 17.1174 | − | 18.6668i | 0.925605 | − | 1.00938i | ||||
\(343\) | − | 19.6423i | − | 1.06058i | ||||||
\(344\) | −21.5035 | −1.15939 | ||||||||
\(345\) | −2.58403 | − | 5.87556i | −0.139120 | − | 0.316329i | ||||
\(346\) | 27.5273i | 1.47988i | ||||||||
\(347\) | 16.7480i | 0.899079i | 0.893261 | + | 0.449539i | \(0.148412\pi\) | ||||
−0.893261 | + | 0.449539i | \(0.851588\pi\) | |||||||
\(348\) | 0.717644 | − | 0.315615i | 0.0384697 | − | 0.0169187i | ||||
\(349\) | − | 18.9762i | − | 1.01577i | −0.861424 | − | 0.507887i | \(-0.830427\pi\) | ||
0.861424 | − | 0.507887i | \(-0.169573\pi\) | |||||||
\(350\) | 12.5630i | 0.671522i | ||||||||
\(351\) | −5.96291 | + | 17.5347i | −0.318277 | + | 0.935935i | ||||
\(352\) | − | 8.19023i | − | 0.436541i | ||||||
\(353\) | −29.1078 | −1.54925 | −0.774625 | − | 0.632421i | \(-0.782061\pi\) | ||||
−0.774625 | + | 0.632421i | \(0.782061\pi\) | |||||||
\(354\) | 2.16377 | + | 4.91997i | 0.115003 | + | 0.261493i | ||||
\(355\) | −20.3986 | −1.08265 | ||||||||
\(356\) | −7.26430 | −0.385007 | ||||||||
\(357\) | −3.53630 | − | 8.04082i | −0.187161 | − | 0.425565i | ||||
\(358\) | − | 7.69360i | − | 0.406619i | ||||||
\(359\) | − | 18.7876i | − | 0.991574i | −0.868444 | − | 0.495787i | \(-0.834880\pi\) | ||
0.868444 | − | 0.495787i | \(-0.165120\pi\) | |||||||
\(360\) | 16.7143 | + | 15.3270i | 0.880919 | + | 0.807803i | ||||
\(361\) | 10.6471 | 0.560376 | ||||||||
\(362\) | − | 7.74533i | − | 0.407085i | ||||||
\(363\) | −3.51726 | + | 1.54687i | −0.184609 | + | 0.0811896i | ||||
\(364\) | 2.69364i | 0.141185i | ||||||||
\(365\) | 26.3650i | 1.38001i | ||||||||
\(366\) | 8.35188 | + | 18.9904i | 0.436560 | + | 0.992647i | ||||
\(367\) | − | 27.3892i | − | 1.42971i | −0.699275 | − | 0.714853i | \(-0.746494\pi\) | ||
0.699275 | − | 0.714853i | \(-0.253506\pi\) | |||||||
\(368\) | −5.63466 | −0.293727 | ||||||||
\(369\) | −7.23778 | + | 7.89289i | −0.376784 | + | 0.410887i | ||||
\(370\) | − | 19.6242i | − | 1.02021i | ||||||
\(371\) | −9.41237 | −0.488666 | ||||||||
\(372\) | 2.00776 | + | 4.56523i | 0.104097 | + | 0.236696i | ||||
\(373\) | − | 29.2330i | − | 1.51363i | −0.653631 | − | 0.756814i | \(-0.726755\pi\) | ||
0.653631 | − | 0.756814i | \(-0.273245\pi\) | |||||||
\(374\) | 15.2847i | 0.790352i | ||||||||
\(375\) | −1.42300 | − | 3.23560i | −0.0734832 | − | 0.167086i | ||||
\(376\) | 6.01764i | 0.310336i | ||||||||
\(377\) | −3.99304 | −0.205652 | ||||||||
\(378\) | −14.2669 | − | 4.85164i | −0.733810 | − | 0.249541i | ||||
\(379\) | − | 35.8169i | − | 1.83979i | −0.392167 | − | 0.919894i | \(-0.628274\pi\) | ||
0.392167 | − | 0.919894i | \(-0.371726\pi\) | |||||||
\(380\) | − | 6.72045i | − | 0.344752i | ||||||
\(381\) | 4.65077 | + | 10.5749i | 0.238266 | + | 0.541769i | ||||
\(382\) | −18.5123 | −0.947171 | ||||||||
\(383\) | − | 22.2931i | − | 1.13913i | −0.821948 | − | 0.569563i | \(-0.807113\pi\) | ||
0.821948 | − | 0.569563i | \(-0.192887\pi\) | |||||||
\(384\) | 21.3937 | − | 9.40880i | 1.09174 | − | 0.480141i | ||||
\(385\) | − | 20.7738i | − | 1.05873i | ||||||
\(386\) | 41.4490 | 2.10970 | ||||||||
\(387\) | 17.6194 | − | 19.2142i | 0.895646 | − | 0.976713i | ||||
\(388\) | 7.40783i | 0.376075i | ||||||||
\(389\) | 32.7322i | 1.65959i | 0.558071 | + | 0.829793i | \(0.311542\pi\) | ||||
−0.558071 | + | 0.829793i | \(0.688458\pi\) | |||||||
\(390\) | 11.7720 | + | 26.7671i | 0.596098 | + | 1.35540i | ||||
\(391\) | 3.28923 | 0.166344 | ||||||||
\(392\) | −8.66464 | −0.437630 | ||||||||
\(393\) | −28.2497 | + | 12.4241i | −1.42501 | + | 0.626710i | ||||
\(394\) | −27.7827 | −1.39967 | ||||||||
\(395\) | − | 4.56337i | − | 0.229608i | ||||||
\(396\) | 3.24801 | + | 2.97843i | 0.163219 | + | 0.149672i | ||||
\(397\) | 18.5956i | 0.933289i | 0.884445 | + | 0.466644i | \(0.154537\pi\) | ||||
−0.884445 | + | 0.466644i | \(0.845463\pi\) | |||||||
\(398\) | −12.7540 | −0.639299 | ||||||||
\(399\) | −7.10140 | − | 16.1471i | −0.355515 | − | 0.808367i | ||||
\(400\) | 20.1212 | 1.00606 | ||||||||
\(401\) | −14.2904 | −0.713626 | −0.356813 | − | 0.934176i | \(-0.616137\pi\) | ||||
−0.356813 | + | 0.934176i | \(0.616137\pi\) | |||||||
\(402\) | 11.2755 | + | 25.6381i | 0.562369 | + | 1.27871i | ||||
\(403\) | − | 25.4014i | − | 1.26533i | ||||||
\(404\) | − | 5.54781i | − | 0.276014i | ||||||
\(405\) | −27.3905 | + | 2.37629i | −1.36105 | + | 0.118079i | ||||
\(406\) | − | 3.24888i | − | 0.161239i | ||||||
\(407\) | 15.0634i | 0.746666i | ||||||||
\(408\) | −10.6379 | + | 4.67846i | −0.526652 | + | 0.231618i | ||||
\(409\) | 21.8195i | 1.07890i | 0.842017 | + | 0.539451i | \(0.181368\pi\) | ||||
−0.842017 | + | 0.539451i | \(0.818632\pi\) | |||||||
\(410\) | 16.9077i | 0.835014i | ||||||||
\(411\) | 9.54413 | + | 21.7014i | 0.470777 | + | 1.07045i | ||||
\(412\) | −3.14929 | −0.155155 | ||||||||
\(413\) | 3.74341 | 0.184201 | ||||||||
\(414\) | 3.81369 | − | 4.15888i | 0.187433 | − | 0.204398i | ||||
\(415\) | −10.7940 | −0.529856 | ||||||||
\(416\) | 8.02946 | 0.393677 | ||||||||
\(417\) | −12.3227 | + | 5.41943i | −0.603444 | + | 0.265391i | ||||
\(418\) | 30.6939i | 1.50129i | ||||||||
\(419\) | 6.52580i | 0.318806i | 0.987214 | + | 0.159403i | \(0.0509570\pi\) | ||||
−0.987214 | + | 0.159403i | \(0.949043\pi\) | |||||||
\(420\) | −3.66025 | + | 1.60975i | −0.178602 | + | 0.0785480i | ||||
\(421\) | 7.31068i | 0.356301i | 0.984003 | + | 0.178150i | \(0.0570114\pi\) | ||||
−0.984003 | + | 0.178150i | \(0.942989\pi\) | |||||||
\(422\) | 5.25774 | − | 21.9000i | 0.255943 | − | 1.06607i | ||||
\(423\) | −5.37700 | − | 4.93071i | −0.261439 | − | 0.239740i | ||||
\(424\) | 12.4524i | 0.604741i | ||||||||
\(425\) | −11.7457 | −0.569752 | ||||||||
\(426\) | −7.21935 | − | 16.4153i | −0.349779 | − | 0.795325i | ||||
\(427\) | 14.4491 | 0.699240 | ||||||||
\(428\) | 2.76693i | 0.133745i | ||||||||
\(429\) | −9.03613 | − | 20.5463i | −0.436268 | − | 0.991985i | ||||
\(430\) | − | 41.1597i | − | 1.98490i | ||||||
\(431\) | − | 12.4358i | − | 0.599012i | −0.954094 | − | 0.299506i | \(-0.903178\pi\) | ||
0.954094 | − | 0.299506i | \(-0.0968219\pi\) | |||||||
\(432\) | −7.77048 | + | 22.8501i | −0.373857 | + | 1.09938i | ||||
\(433\) | −8.93972 | −0.429616 | −0.214808 | − | 0.976656i | \(-0.568913\pi\) | ||||
−0.214808 | + | 0.976656i | \(0.568913\pi\) | |||||||
\(434\) | 20.6675 | 0.992072 | ||||||||
\(435\) | −2.38629 | − | 5.42593i | −0.114414 | − | 0.260154i | ||||
\(436\) | −6.47959 | −0.310316 | ||||||||
\(437\) | 6.60526 | 0.315972 | ||||||||
\(438\) | −21.2166 | + | 9.33093i | −1.01377 | + | 0.445849i | ||||
\(439\) | − | 11.7990i | − | 0.563134i | −0.959542 | − | 0.281567i | \(-0.909146\pi\) | ||
0.959542 | − | 0.281567i | \(-0.0908541\pi\) | |||||||
\(440\) | −27.4833 | −1.31022 | ||||||||
\(441\) | 7.09960 | − | 7.74220i | 0.338076 | − | 0.368676i | ||||
\(442\) | −14.9847 | −0.712747 | ||||||||
\(443\) | 1.07957i | 0.0512921i | 0.999671 | + | 0.0256460i | \(0.00816428\pi\) | ||||
−0.999671 | + | 0.0256460i | \(0.991836\pi\) | |||||||
\(444\) | 2.65411 | − | 1.16726i | 0.125959 | − | 0.0553957i | ||||
\(445\) | 54.9236i | 2.60363i | ||||||||
\(446\) | 4.31668i | 0.204401i | ||||||||
\(447\) | −6.45946 | + | 2.84083i | −0.305522 | + | 0.134367i | ||||
\(448\) | − | 10.8425i | − | 0.512261i | ||||||
\(449\) | 15.6316 | 0.737703 | 0.368851 | − | 0.929488i | \(-0.379751\pi\) | ||||
0.368851 | + | 0.929488i | \(0.379751\pi\) | |||||||
\(450\) | −13.6186 | + | 14.8512i | −0.641986 | + | 0.700093i | ||||
\(451\) | − | 12.9783i | − | 0.611125i | ||||||
\(452\) | 0.322432i | 0.0151659i | ||||||||
\(453\) | 31.4461 | − | 13.8298i | 1.47747 | − | 0.649780i | ||||
\(454\) | 21.1376i | 0.992035i | ||||||||
\(455\) | 20.3660 | 0.954773 | ||||||||
\(456\) | −21.3624 | + | 9.39502i | −1.00038 | + | 0.439962i | ||||
\(457\) | − | 6.46181i | − | 0.302270i | −0.988513 | − | 0.151135i | \(-0.951707\pi\) | ||
0.988513 | − | 0.151135i | \(-0.0482929\pi\) | |||||||
\(458\) | 29.0173i | 1.35589i | ||||||||
\(459\) | 4.53602 | − | 13.3388i | 0.211723 | − | 0.622600i | ||||
\(460\) | − | 1.49729i | − | 0.0698114i | ||||||
\(461\) | 8.15970 | 0.380035 | 0.190018 | − | 0.981781i | \(-0.439145\pi\) | ||||
0.190018 | + | 0.981781i | \(0.439145\pi\) | |||||||
\(462\) | 16.7172 | − | 7.35212i | 0.777755 | − | 0.342052i | ||||
\(463\) | − | 29.1960i | − | 1.35685i | −0.734668 | − | 0.678427i | \(-0.762662\pi\) | ||
0.734668 | − | 0.678427i | \(-0.237338\pi\) | |||||||
\(464\) | −5.20348 | −0.241565 | ||||||||
\(465\) | 34.5166 | − | 15.1802i | 1.60067 | − | 0.703965i | ||||
\(466\) | 36.4305 | 1.68761 | ||||||||
\(467\) | − | 8.03728i | − | 0.371921i | −0.982557 | − | 0.185961i | \(-0.940460\pi\) | ||
0.982557 | − | 0.185961i | \(-0.0595397\pi\) | |||||||
\(468\) | −2.91996 | + | 3.18426i | −0.134975 | + | 0.147192i | ||||
\(469\) | 19.5070 | 0.900750 | ||||||||
\(470\) | −11.5183 | −0.531301 | ||||||||
\(471\) | −7.43129 | − | 16.8972i | −0.342416 | − | 0.778583i | ||||
\(472\) | − | 4.95246i | − | 0.227955i | ||||||
\(473\) | 31.5940i | 1.45269i | ||||||||
\(474\) | 3.67227 | − | 1.61504i | 0.168673 | − | 0.0741812i | ||||
\(475\) | −23.5872 | −1.08225 | ||||||||
\(476\) | − | 2.04907i | − | 0.0939189i | ||||||
\(477\) | −11.1267 | − | 10.2032i | −0.509457 | − | 0.467172i | ||||
\(478\) | 7.39610 | 0.338290 | ||||||||
\(479\) | −0.169055 | −0.00772432 | −0.00386216 | − | 0.999993i | \(-0.501229\pi\) | ||||
−0.00386216 | + | 0.999993i | \(0.501229\pi\) | |||||||
\(480\) | 4.79851 | + | 10.9108i | 0.219021 | + | 0.498008i | ||||
\(481\) | −14.7677 | −0.673351 | ||||||||
\(482\) | 26.4528 | 1.20489 | ||||||||
\(483\) | −1.58216 | − | 3.59751i | −0.0719909 | − | 0.163692i | ||||
\(484\) | −0.896317 | −0.0407417 | ||||||||
\(485\) | 56.0088 | 2.54323 | ||||||||
\(486\) | −11.6061 | − | 21.2009i | −0.526466 | − | 0.961692i | ||||
\(487\) | −27.6163 | −1.25141 | −0.625707 | − | 0.780058i | \(-0.715190\pi\) | ||||
−0.625707 | + | 0.780058i | \(0.715190\pi\) | |||||||
\(488\) | − | 19.1159i | − | 0.865334i | ||||||
\(489\) | −8.65179 | + | 3.80500i | −0.391248 | + | 0.172068i | ||||
\(490\) | − | 16.5849i | − | 0.749231i | ||||||
\(491\) | 15.6813i | 0.707687i | 0.935305 | + | 0.353843i | \(0.115125\pi\) | ||||
−0.935305 | + | 0.353843i | \(0.884875\pi\) | |||||||
\(492\) | −2.28672 | + | 1.00569i | −0.103093 | + | 0.0453398i | ||||
\(493\) | 3.03753 | 0.136803 | ||||||||
\(494\) | −30.0914 | −1.35387 | ||||||||
\(495\) | 22.5192 | − | 24.5574i | 1.01216 | − | 1.10378i | ||||
\(496\) | − | 33.1015i | − | 1.48630i | ||||||
\(497\) | −12.4898 | −0.560243 | ||||||||
\(498\) | −3.82014 | − | 8.68622i | −0.171185 | − | 0.389239i | ||||
\(499\) | 29.3157i | 1.31235i | 0.754607 | + | 0.656177i | \(0.227827\pi\) | ||||
−0.754607 | + | 0.656177i | \(0.772173\pi\) | |||||||
\(500\) | − | 0.824539i | − | 0.0368745i | ||||||
\(501\) | −3.76190 | + | 1.65446i | −0.168069 | + | 0.0739158i | ||||
\(502\) | 12.7755 | 0.570199 | ||||||||
\(503\) | − | 35.8753i | − | 1.59960i | −0.600266 | − | 0.799800i | \(-0.704939\pi\) | ||
0.600266 | − | 0.799800i | \(-0.295061\pi\) | |||||||
\(504\) | 10.2339 | + | 9.38447i | 0.455853 | + | 0.418018i | ||||
\(505\) | −41.9457 | −1.86656 | ||||||||
\(506\) | 6.83846i | 0.304007i | ||||||||
\(507\) | −0.468414 | + | 0.206005i | −0.0208030 | + | 0.00914902i | ||||
\(508\) | 2.69484i | 0.119564i | ||||||||
\(509\) | 10.9387i | 0.484848i | 0.970170 | + | 0.242424i | \(0.0779425\pi\) | ||||
−0.970170 | + | 0.242424i | \(0.922057\pi\) | |||||||
\(510\) | −8.95502 | − | 20.3619i | −0.396535 | − | 0.901638i | ||||
\(511\) | 16.1429i | 0.714118i | ||||||||
\(512\) | −12.5241 | −0.553492 | ||||||||
\(513\) | 9.10898 | − | 26.7862i | 0.402171 | − | 1.18264i | ||||
\(514\) | − | 45.3069i | − | 1.99840i | ||||||
\(515\) | 23.8111i | 1.04924i | ||||||||
\(516\) | 5.56673 | − | 2.44821i | 0.245061 | − | 0.107776i | ||||
\(517\) | 8.84143 | 0.388846 | ||||||||
\(518\) | − | 12.0156i | − | 0.527934i | ||||||
\(519\) | 12.3796 | + | 28.1487i | 0.543404 | + | 1.23559i | ||||
\(520\) | − | 26.9439i | − | 1.18157i | ||||||
\(521\) | 29.5186i | 1.29323i | 0.762815 | + | 0.646616i | \(0.223817\pi\) | ||||
−0.762815 | + | 0.646616i | \(0.776183\pi\) | |||||||
\(522\) | 3.52185 | − | 3.84062i | 0.154147 | − | 0.168100i | ||||
\(523\) | 11.9605 | 0.522996 | 0.261498 | − | 0.965204i | \(-0.415783\pi\) | ||||
0.261498 | + | 0.965204i | \(0.415783\pi\) | |||||||
\(524\) | −7.19898 | −0.314489 | ||||||||
\(525\) | 5.64985 | + | 12.8466i | 0.246580 | + | 0.560671i | ||||
\(526\) | 24.8138i | 1.08194i | ||||||||
\(527\) | 19.3230i | 0.841722i | ||||||||
\(528\) | −11.7753 | − | 26.7746i | −0.512454 | − | 1.16522i | ||||
\(529\) | −21.5284 | −0.936016 | ||||||||
\(530\) | −23.8351 | −1.03533 | ||||||||
\(531\) | 4.42522 | + | 4.05793i | 0.192038 | + | 0.176099i | ||||
\(532\) | − | 4.11483i | − | 0.178400i | ||||||
\(533\) | 12.7236 | 0.551118 | ||||||||
\(534\) | −44.1985 | + | 19.4382i | −1.91266 | + | 0.841174i | ||||
\(535\) | 20.9201 | 0.904455 | ||||||||
\(536\) | − | 25.8074i | − | 1.11471i | ||||||
\(537\) | −3.45997 | − | 7.86726i | −0.149309 | − | 0.339497i | ||||
\(538\) | 11.5894i | 0.499656i | ||||||||
\(539\) | 12.7305i | 0.548343i | ||||||||
\(540\) | −6.07193 | − | 2.06484i | −0.261294 | − | 0.0888564i | ||||
\(541\) | −40.5643 | −1.74400 | −0.871998 | − | 0.489510i | \(-0.837176\pi\) | ||||
−0.871998 | + | 0.489510i | \(0.837176\pi\) | |||||||
\(542\) | 37.8694i | 1.62663i | ||||||||
\(543\) | −3.48323 | − | 7.92015i | −0.149480 | − | 0.339886i | ||||
\(544\) | −6.10805 | −0.261881 | ||||||||
\(545\) | 48.9906i | 2.09853i | ||||||||
\(546\) | 7.20781 | + | 16.3891i | 0.308466 | + | 0.701387i | ||||
\(547\) | 24.0870 | 1.02989 | 0.514943 | − | 0.857224i | \(-0.327813\pi\) | ||||
0.514943 | + | 0.857224i | \(0.327813\pi\) | |||||||
\(548\) | 5.53024i | 0.236240i | ||||||||
\(549\) | 17.0808 | + | 15.6631i | 0.728990 | + | 0.668484i | ||||
\(550\) | − | 24.4199i | − | 1.04127i | ||||||
\(551\) | 6.09980 | 0.259860 | ||||||||
\(552\) | −4.75944 | + | 2.09317i | −0.202575 | + | 0.0890913i | ||||
\(553\) | − | 2.79408i | − | 0.118816i | ||||||
\(554\) | −19.2408 | −0.817463 | ||||||||
\(555\) | −8.82538 | − | 20.0671i | −0.374617 | − | 0.851801i | ||||
\(556\) | −3.14023 | −0.133175 | ||||||||
\(557\) | 6.55396 | 0.277700 | 0.138850 | − | 0.990313i | \(-0.455659\pi\) | ||||
0.138850 | + | 0.990313i | \(0.455659\pi\) | |||||||
\(558\) | 24.4318 | + | 22.4040i | 1.03428 | + | 0.948436i | ||||
\(559\) | −30.9738 | −1.31005 | ||||||||
\(560\) | 26.5397 | 1.12151 | ||||||||
\(561\) | 6.87383 | + | 15.6297i | 0.290213 | + | 0.659886i | ||||
\(562\) | − | 35.9444i | − | 1.51622i | ||||||
\(563\) | 12.9989 | 0.547840 | 0.273920 | − | 0.961752i | \(-0.411680\pi\) | ||||
0.273920 | + | 0.961752i | \(0.411680\pi\) | |||||||
\(564\) | −0.685120 | − | 1.55782i | −0.0288488 | − | 0.0655962i | ||||
\(565\) | 2.43783 | 0.102560 | ||||||||
\(566\) | − | 7.51290i | − | 0.315791i | ||||||
\(567\) | −16.7708 | + | 1.45497i | −0.704307 | + | 0.0611028i | ||||
\(568\) | 16.5237i | 0.693320i | ||||||||
\(569\) | −23.9233 | −1.00292 | −0.501459 | − | 0.865181i | \(-0.667203\pi\) | ||||
−0.501459 | + | 0.865181i | \(0.667203\pi\) | |||||||
\(570\) | −17.9830 | − | 40.8896i | −0.753224 | − | 1.71268i | ||||
\(571\) | 9.58427i | 0.401089i | 0.979685 | + | 0.200545i | \(0.0642712\pi\) | ||||
−0.979685 | + | 0.200545i | \(0.935729\pi\) | |||||||
\(572\) | − | 5.23588i | − | 0.218923i | ||||||
\(573\) | −18.9301 | + | 8.32536i | −0.790818 | + | 0.347797i | ||||
\(574\) | 10.3523i | 0.432098i | ||||||||
\(575\) | −5.25512 | −0.219154 | ||||||||
\(576\) | 11.7535 | − | 12.8173i | 0.489729 | − | 0.534056i | ||||
\(577\) | 16.4136i | 0.683306i | 0.939826 | + | 0.341653i | \(0.110987\pi\) | ||||
−0.939826 | + | 0.341653i | \(0.889013\pi\) | |||||||
\(578\) | −14.9595 | −0.622234 | ||||||||
\(579\) | 42.3846 | − | 18.6405i | 1.76144 | − | 0.774671i | ||||
\(580\) | − | 1.38271i | − | 0.0574139i | ||||||
\(581\) | −6.60899 | −0.274187 | ||||||||
\(582\) | 19.8223 | + | 45.0718i | 0.821660 | + | 1.86829i | ||||
\(583\) | 18.2957 | 0.757730 | ||||||||
\(584\) | 21.3567 | 0.883747 | ||||||||
\(585\) | 24.0754 | + | 22.0772i | 0.995395 | + | 0.912778i | ||||
\(586\) | 10.7018i | 0.442087i | ||||||||
\(587\) | −5.51405 | −0.227589 | −0.113795 | − | 0.993504i | \(-0.536301\pi\) | ||||
−0.113795 | + | 0.993504i | \(0.536301\pi\) | |||||||
\(588\) | 2.24306 | − | 0.986485i | 0.0925024 | − | 0.0406820i | ||||
\(589\) | 38.8034i | 1.59886i | ||||||||
\(590\) | 9.47947 | 0.390264 | ||||||||
\(591\) | −28.4098 | + | 12.4944i | −1.16862 | + | 0.513953i | ||||
\(592\) | −19.2444 | −0.790939 | ||||||||
\(593\) | 9.51762i | 0.390842i | 0.980719 | + | 0.195421i | \(0.0626073\pi\) | ||||
−0.980719 | + | 0.195421i | \(0.937393\pi\) | |||||||
\(594\) | 27.7319 | + | 9.43058i | 1.13785 | + | 0.386941i | ||||
\(595\) | −15.4925 | −0.635132 | ||||||||
\(596\) | −1.64609 | −0.0674263 | ||||||||
\(597\) | −13.0419 | + | 5.73572i | −0.533768 | + | 0.234747i | ||||
\(598\) | −6.70423 | −0.274156 | ||||||||
\(599\) | −36.9163 | −1.50836 | −0.754179 | − | 0.656669i | \(-0.771965\pi\) | ||||
−0.754179 | + | 0.656669i | \(0.771965\pi\) | |||||||
\(600\) | 16.9958 | − | 7.47465i | 0.693851 | − | 0.305151i | ||||
\(601\) | −16.4120 | −0.669461 | −0.334730 | − | 0.942314i | \(-0.608645\pi\) | ||||
−0.334730 | + | 0.942314i | \(0.608645\pi\) | |||||||
\(602\) | − | 25.2014i | − | 1.02713i | ||||||
\(603\) | 23.0599 | + | 21.1460i | 0.939074 | + | 0.861131i | ||||
\(604\) | 8.01351 | 0.326065 | ||||||||
\(605\) | 6.77684i | 0.275518i | ||||||||
\(606\) | −14.8452 | − | 33.7548i | −0.603043 | − | 1.37120i | ||||
\(607\) | −5.93411 | −0.240858 | −0.120429 | − | 0.992722i | \(-0.538427\pi\) | ||||
−0.120429 | + | 0.992722i | \(0.538427\pi\) | |||||||
\(608\) | −12.2659 | −0.497446 | ||||||||
\(609\) | −1.46109 | − | 3.32221i | −0.0592063 | − | 0.134623i | ||||
\(610\) | 36.5896 | 1.48147 | ||||||||
\(611\) | 8.66788i | 0.350665i | ||||||||
\(612\) | 2.22123 | − | 2.42228i | 0.0897880 | − | 0.0979149i | ||||
\(613\) | 19.4445i | 0.785356i | 0.919676 | + | 0.392678i | \(0.128451\pi\) | ||||
−0.919676 | + | 0.392678i | \(0.871549\pi\) | |||||||
\(614\) | 9.38594 | 0.378786 | ||||||||
\(615\) | 7.60375 | + | 17.2894i | 0.306613 | + | 0.697175i | ||||
\(616\) | −16.8276 | −0.678004 | ||||||||
\(617\) | 18.0169 | 0.725333 | 0.362666 | − | 0.931919i | \(-0.381866\pi\) | ||||
0.362666 | + | 0.931919i | \(0.381866\pi\) | |||||||
\(618\) | −19.1614 | + | 8.42706i | −0.770785 | + | 0.338986i | ||||
\(619\) | − | 16.9518i | − | 0.681349i | −0.940181 | − | 0.340675i | \(-0.889345\pi\) | ||
0.940181 | − | 0.340675i | \(-0.110655\pi\) | |||||||
\(620\) | 8.79599 | 0.353256 | ||||||||
\(621\) | 2.02944 | − | 5.96785i | 0.0814387 | − | 0.239481i | ||||
\(622\) | − | 52.9416i | − | 2.12276i | ||||||
\(623\) | 33.6289i | 1.34731i | ||||||||
\(624\) | 26.2491 | − | 11.5442i | 1.05080 | − | 0.462136i | ||||
\(625\) | −27.8939 | −1.11576 | ||||||||
\(626\) | 40.1927i | 1.60642i | ||||||||
\(627\) | 13.8037 | + | 31.3867i | 0.551265 | + | 1.25346i | ||||
\(628\) | − | 4.30598i | − | 0.171827i | ||||||
\(629\) | 11.2339 | 0.447925 | ||||||||
\(630\) | −17.9628 | + | 19.5886i | −0.715654 | + | 0.780429i | ||||
\(631\) | 20.6236 | 0.821013 | 0.410506 | − | 0.911858i | \(-0.365352\pi\) | ||||
0.410506 | + | 0.911858i | \(0.365352\pi\) | |||||||
\(632\) | −3.69652 | −0.147040 | ||||||||
\(633\) | −4.47243 | − | 24.7588i | −0.177763 | − | 0.984073i | ||||
\(634\) | 54.5863 | 2.16790 | ||||||||
\(635\) | 20.3750 | 0.808559 | ||||||||
\(636\) | −1.41773 | − | 3.22362i | −0.0562166 | − | 0.127825i | ||||
\(637\) | −12.4806 | −0.494501 | ||||||||
\(638\) | 6.31515i | 0.250019i | ||||||||
\(639\) | −14.7646 | − | 13.5392i | −0.584079 | − | 0.535601i | ||||
\(640\) | − | 41.2199i | − | 1.62936i | ||||||
\(641\) | −32.4330 | −1.28103 | −0.640514 | − | 0.767947i | \(-0.721279\pi\) | ||||
−0.640514 | + | 0.767947i | \(0.721279\pi\) | |||||||
\(642\) | 7.40391 | + | 16.8350i | 0.292209 | + | 0.664423i | ||||
\(643\) | 20.0173i | 0.789404i | 0.918809 | + | 0.394702i | \(0.129152\pi\) | ||||
−0.918809 | + | 0.394702i | \(0.870848\pi\) | |||||||
\(644\) | − | 0.916766i | − | 0.0361257i | ||||||
\(645\) | −18.5103 | − | 42.0887i | −0.728844 | − | 1.65724i | ||||
\(646\) | 22.8907 | 0.900621 | ||||||||
\(647\) | 13.9957i | 0.550226i | 0.961412 | + | 0.275113i | \(0.0887153\pi\) | ||||
−0.961412 | + | 0.275113i | \(0.911285\pi\) | |||||||
\(648\) | 1.92489 | + | 22.1875i | 0.0756169 | + | 0.871606i | ||||
\(649\) | −7.27640 | −0.285624 | ||||||||
\(650\) | 23.9406 | 0.939027 | ||||||||
\(651\) | 21.1340 | − | 9.29460i | 0.828307 | − | 0.364284i | ||||
\(652\) | −2.20477 | −0.0863453 | ||||||||
\(653\) | − | 34.8310i | − | 1.36304i | −0.731798 | − | 0.681521i | \(-0.761319\pi\) | ||
0.731798 | − | 0.681521i | \(-0.238681\pi\) | |||||||
\(654\) | −39.4241 | + | 17.3385i | −1.54160 | + | 0.677987i | ||||
\(655\) | 54.4298i | 2.12675i | ||||||||
\(656\) | 16.5805 | 0.647361 | ||||||||
\(657\) | −17.4992 | + | 19.0831i | −0.682709 | + | 0.744502i | ||||
\(658\) | −7.05250 | −0.274935 | ||||||||
\(659\) | 4.55326 | 0.177370 | 0.0886849 | − | 0.996060i | \(-0.471734\pi\) | ||||
0.0886849 | + | 0.996060i | \(0.471734\pi\) | |||||||
\(660\) | 7.11477 | − | 3.12903i | 0.276942 | − | 0.121797i | ||||
\(661\) | 0.955706i | 0.0371727i | 0.999827 | + | 0.0185863i | \(0.00591655\pi\) | ||||
−0.999827 | + | 0.0185863i | \(0.994083\pi\) | |||||||
\(662\) | 21.6342 | 0.840837 | ||||||||
\(663\) | −15.3229 | + | 6.73890i | −0.595091 | + | 0.261717i | ||||
\(664\) | 8.74358i | 0.339317i | ||||||||
\(665\) | −31.1112 | −1.20644 | ||||||||
\(666\) | 13.0251 | − | 14.2040i | 0.504713 | − | 0.550395i | ||||
\(667\) | 1.35901 | 0.0526210 | ||||||||
\(668\) | −0.958658 | −0.0370916 | ||||||||
\(669\) | 1.94130 | + | 4.41412i | 0.0750550 | + | 0.170660i | ||||
\(670\) | 49.3978 | 1.90840 | ||||||||
\(671\) | −28.0860 | −1.08425 | ||||||||
\(672\) | 2.93805 | + | 6.68052i | 0.113338 | + | 0.257707i | ||||
\(673\) | 13.2675i | 0.511425i | 0.966753 | + | 0.255713i | \(0.0823101\pi\) | ||||
−0.966753 | + | 0.255713i | \(0.917690\pi\) | |||||||
\(674\) | 52.5522 | 2.02424 | ||||||||
\(675\) | −7.24707 | + | 21.3110i | −0.278940 | + | 0.820260i | ||||
\(676\) | −0.119368 | −0.00459106 | ||||||||
\(677\) | 49.4135i | 1.89911i | 0.313595 | + | 0.949557i | \(0.398467\pi\) | ||||
−0.313595 | + | 0.949557i | \(0.601533\pi\) | |||||||
\(678\) | 0.862782 | + | 1.96179i | 0.0331349 | + | 0.0753420i | ||||
\(679\) | 34.2933 | 1.31606 | ||||||||
\(680\) | 20.4963i | 0.785998i | ||||||||
\(681\) | 9.50599 | + | 21.6147i | 0.364270 | + | 0.828276i | ||||
\(682\) | −40.1733 | −1.53832 | ||||||||
\(683\) | −35.8399 | −1.37138 | −0.685688 | − | 0.727895i | \(-0.740499\pi\) | ||||
−0.685688 | + | 0.727895i | \(0.740499\pi\) | |||||||
\(684\) | 4.46056 | − | 4.86429i | 0.170554 | − | 0.185991i | ||||
\(685\) | 41.8128 | 1.59759 | ||||||||
\(686\) | − | 30.4553i | − | 1.16279i | ||||||
\(687\) | 13.0497 | + | 29.6723i | 0.497876 | + | 1.13207i | ||||
\(688\) | −40.3631 | −1.53883 | ||||||||
\(689\) | 17.9366i | 0.683328i | ||||||||
\(690\) | −4.00653 | − | 9.11002i | −0.152526 | − | 0.346813i | ||||
\(691\) | −15.0405 | −0.572166 | −0.286083 | − | 0.958205i | \(-0.592353\pi\) | ||||
−0.286083 | + | 0.958205i | \(0.592353\pi\) | |||||||
\(692\) | 7.17322i | 0.272685i | ||||||||
\(693\) | 13.7881 | − | 15.0361i | 0.523768 | − | 0.571176i | ||||
\(694\) | 25.9677i | 0.985719i | ||||||||
\(695\) | 23.7425i | 0.900606i | ||||||||
\(696\) | −4.39523 | + | 1.93299i | −0.166601 | + | 0.0732699i | ||||
\(697\) | −9.67888 | −0.366614 | ||||||||
\(698\) | − | 29.4226i | − | 1.11366i | ||||||
\(699\) | 37.2528 | − | 16.3836i | 1.40903 | − | 0.619683i | ||||
\(700\) | 3.27374i | 0.123736i | ||||||||
\(701\) | 44.0303 | 1.66300 | 0.831501 | − | 0.555524i | \(-0.187482\pi\) | ||||
0.831501 | + | 0.555524i | \(0.187482\pi\) | |||||||
\(702\) | −9.24546 | + | 27.1875i | −0.348948 | + | 1.02613i | ||||
\(703\) | 22.5593 | 0.850840 | ||||||||
\(704\) | 21.0756i | 0.794317i | ||||||||
\(705\) | −11.7783 | + | 5.18003i | −0.443597 | + | 0.195091i | ||||
\(706\) | −45.1315 | −1.69855 | ||||||||
\(707\) | −25.6827 | −0.965897 | ||||||||
\(708\) | 0.563847 | + | 1.28207i | 0.0211907 | + | 0.0481832i | ||||
\(709\) | 27.8726 | 1.04678 | 0.523389 | − | 0.852094i | \(-0.324667\pi\) | ||||
0.523389 | + | 0.852094i | \(0.324667\pi\) | |||||||
\(710\) | −31.6280 | −1.18698 | ||||||||
\(711\) | 3.02884 | − | 3.30299i | 0.113590 | − | 0.123872i | ||||
\(712\) | 44.4904 | 1.66735 | ||||||||
\(713\) | 8.64522i | 0.323766i | ||||||||
\(714\) | −5.48302 | − | 12.4673i | −0.205197 | − | 0.466575i | ||||
\(715\) | −39.5873 | −1.48048 | ||||||||
\(716\) | − | 2.00484i | − | 0.0749244i | ||||||
\(717\) | 7.56304 | − | 3.32618i | 0.282447 | − | 0.124218i | ||||
\(718\) | − | 29.1302i | − | 1.08713i | ||||||
\(719\) | −27.5911 | −1.02897 | −0.514487 | − | 0.857498i | \(-0.672018\pi\) | ||||
−0.514487 | + | 0.857498i | \(0.672018\pi\) | |||||||
\(720\) | 31.3735 | + | 28.7695i | 1.16922 | + | 1.07218i | ||||
\(721\) | 14.5791i | 0.542956i | ||||||||
\(722\) | 16.5083 | 0.614377 | ||||||||
\(723\) | 27.0499 | − | 11.8964i | 1.00600 | − | 0.442430i | ||||
\(724\) | − | 2.01832i | − | 0.0750103i | ||||||
\(725\) | −4.85298 | −0.180235 | ||||||||
\(726\) | −5.45350 | + | 2.39842i | −0.202398 | + | 0.0890135i | ||||
\(727\) | 10.6719i | 0.395797i | 0.980222 | + | 0.197899i | \(0.0634117\pi\) | ||||
−0.980222 | + | 0.197899i | \(0.936588\pi\) | |||||||
\(728\) | − | 16.4973i | − | 0.611431i | ||||||
\(729\) | −21.4026 | − | 16.4599i | −0.792689 | − | 0.609627i | ||||
\(730\) | 40.8788i | 1.51299i | ||||||||
\(731\) | 23.5619 | 0.871470 | ||||||||
\(732\) | 2.17638 | + | 4.94863i | 0.0804412 | + | 0.182907i | ||||
\(733\) | −13.4107 | −0.495336 | −0.247668 | − | 0.968845i | \(-0.579664\pi\) | ||||
−0.247668 | + | 0.968845i | \(0.579664\pi\) | |||||||
\(734\) | − | 42.4668i | − | 1.56748i | ||||||
\(735\) | −7.45858 | − | 16.9593i | −0.275114 | − | 0.625553i | ||||
\(736\) | −2.73278 | −0.100732 | ||||||||
\(737\) | −37.9176 | −1.39671 | ||||||||
\(738\) | −11.2221 | + | 12.2379i | −0.413093 | + | 0.450483i | ||||
\(739\) | − | 41.4486i | − | 1.52471i | −0.647157 | − | 0.762356i | \(-0.724042\pi\) | ||
0.647157 | − | 0.762356i | \(-0.275958\pi\) | |||||||
\(740\) | − | 5.11377i | − | 0.187986i | ||||||
\(741\) | −30.7706 | + | 13.5327i | −1.13039 | + | 0.497136i | ||||
\(742\) | −14.5938 | −0.535756 | ||||||||
\(743\) | −8.39628 | −0.308030 | −0.154015 | − | 0.988069i | \(-0.549220\pi\) | ||||
−0.154015 | + | 0.988069i | \(0.549220\pi\) | |||||||
\(744\) | −12.2966 | − | 27.9599i | −0.450815 | − | 1.02506i | ||||
\(745\) | 12.4457i | 0.455974i | ||||||||
\(746\) | − | 45.3256i | − | 1.65949i | ||||||
\(747\) | −7.81274 | − | 7.16428i | −0.285853 | − | 0.262127i | ||||
\(748\) | 3.98297i | 0.145632i | ||||||||
\(749\) | 12.8090 | 0.468032 | ||||||||
\(750\) | −2.20635 | − | 5.01678i | −0.0805645 | − | 0.183187i | ||||
\(751\) | 20.1895i | 0.736724i | 0.929682 | + | 0.368362i | \(0.120081\pi\) | ||||
−0.929682 | + | 0.368362i | \(0.879919\pi\) | |||||||
\(752\) | 11.2954i | 0.411902i | ||||||||
\(753\) | 13.0639 | − | 5.74541i | 0.476074 | − | 0.209374i | ||||
\(754\) | −6.19119 | −0.225470 | ||||||||
\(755\) | − | 60.5883i | − | 2.20503i | ||||||
\(756\) | −3.71775 | − | 1.26427i | −0.135213 | − | 0.0459809i | ||||
\(757\) | 40.0764i | 1.45660i | 0.685257 | + | 0.728301i | \(0.259690\pi\) | ||||
−0.685257 | + | 0.728301i | \(0.740310\pi\) | |||||||
\(758\) | − | 55.5339i | − | 2.01708i | ||||||
\(759\) | 3.07540 | + | 6.99282i | 0.111630 | + | 0.253823i | ||||
\(760\) | 41.1596i | 1.49302i | ||||||||
\(761\) | −29.9839 | −1.08692 | −0.543458 | − | 0.839436i | \(-0.682885\pi\) | ||||
−0.543458 | + | 0.839436i | \(0.682885\pi\) | |||||||
\(762\) | 7.21100 | + | 16.3963i | 0.261227 | + | 0.593977i | ||||
\(763\) | 29.9962i | 1.08594i | ||||||||
\(764\) | −4.82403 | −0.174527 | ||||||||
\(765\) | −18.3143 | − | 16.7942i | −0.662155 | − | 0.607196i | ||||
\(766\) | − | 34.5654i | − | 1.24890i | ||||||
\(767\) | − | 7.13357i | − | 0.257578i | ||||||
\(768\) | 14.7891 | − | 6.50417i | 0.533657 | − | 0.234699i | ||||
\(769\) | 12.9719 | 0.467780 | 0.233890 | − | 0.972263i | \(-0.424855\pi\) | ||||
0.233890 | + | 0.972263i | \(0.424855\pi\) | |||||||
\(770\) | − | 32.2096i | − | 1.16076i | ||||||
\(771\) | −20.3754 | − | 46.3296i | −0.733804 | − | 1.66852i | ||||
\(772\) | 10.8010 | 0.388737 | ||||||||
\(773\) | 43.7442 | 1.57337 | 0.786685 | − | 0.617354i | \(-0.211795\pi\) | ||||
0.786685 | + | 0.617354i | \(0.211795\pi\) | |||||||
\(774\) | 27.3188 | − | 29.7915i | 0.981955 | − | 1.07083i | ||||
\(775\) | − | 30.8718i | − | 1.10895i | ||||||
\(776\) | − | 45.3694i | − | 1.62867i | ||||||
\(777\) | −5.40364 | − | 12.2868i | −0.193855 | − | 0.440786i | ||||
\(778\) | 50.7511i | 1.81951i | ||||||||
\(779\) | −19.4366 | −0.696388 | ||||||||
\(780\) | 3.06761 | + | 6.97511i | 0.109838 | + | 0.249749i | ||||
\(781\) | 24.2775 | 0.868718 | ||||||||
\(782\) | 5.09994 | 0.182374 | ||||||||
\(783\) | 1.87414 | − | 5.51116i | 0.0669763 | − | 0.196953i | ||||
\(784\) | −16.2640 | −0.580856 | ||||||||
\(785\) | −32.5565 | −1.16199 | ||||||||
\(786\) | −43.8011 | + | 19.2634i | −1.56233 | + | 0.687104i | ||||
\(787\) | 50.2493 | 1.79119 | 0.895597 | − | 0.444865i | \(-0.146748\pi\) | ||||
0.895597 | + | 0.444865i | \(0.146748\pi\) | |||||||
\(788\) | −7.23977 | −0.257906 | ||||||||
\(789\) | 11.1593 | + | 25.3739i | 0.397281 | + | 0.903336i | ||||
\(790\) | − | 7.07549i | − | 0.251735i | ||||||
\(791\) | 1.49265 | 0.0530724 | ||||||||
\(792\) | −19.8925 | − | 18.2415i | −0.706851 | − | 0.648182i | ||||
\(793\) | − | 27.5347i | − | 0.977786i | ||||||
\(794\) | 28.8325i | 1.02323i | ||||||||
\(795\) | −24.3730 | + | 10.7191i | −0.864423 | + | 0.380168i | ||||
\(796\) | −3.32350 | −0.117798 | ||||||||
\(797\) | −25.4058 | −0.899921 | −0.449961 | − | 0.893048i | \(-0.648562\pi\) | ||||
−0.449961 | + | 0.893048i | \(0.648562\pi\) | |||||||
\(798\) | −11.0107 | − | 25.0360i | −0.389774 | − | 0.886266i | ||||
\(799\) | − | 6.59370i | − | 0.233268i | ||||||
\(800\) | 9.75867 | 0.345021 | ||||||||
\(801\) | −36.4544 | + | 39.7539i | −1.28805 | + | 1.40464i | ||||
\(802\) | −22.1571 | −0.782395 | ||||||||
\(803\) | − | 31.3784i | − | 1.10732i | ||||||
\(804\) | 2.93822 | + | 6.68091i | 0.103623 | + | 0.235618i | ||||
\(805\) | −6.93145 | −0.244302 | ||||||||
\(806\) | − | 39.3848i | − | 1.38727i | ||||||
\(807\) | 5.21201 | + | 11.8510i | 0.183471 | + | 0.417176i | ||||
\(808\) | 33.9777i | 1.19533i | ||||||||
\(809\) | 11.3691i | 0.399717i | 0.979825 | + | 0.199858i | \(0.0640482\pi\) | ||||
−0.979825 | + | 0.199858i | \(0.935952\pi\) | |||||||
\(810\) | −42.4689 | + | 3.68443i | −1.49221 | + | 0.129458i | ||||
\(811\) | −7.53165 | −0.264472 | −0.132236 | − | 0.991218i | \(-0.542216\pi\) | ||||
−0.132236 | + | 0.991218i | \(0.542216\pi\) | |||||||
\(812\) | − | 0.846611i | − | 0.0297102i | ||||||
\(813\) | 17.0306 | + | 38.7242i | 0.597291 | + | 1.35812i | ||||
\(814\) | 23.3558i | 0.818619i | ||||||||
\(815\) | 16.6697i | 0.583915i | ||||||||
\(816\) | −19.9678 | + | 8.78171i | −0.699013 | + | 0.307421i | ||||
\(817\) | 47.3158 | 1.65537 | ||||||||
\(818\) | 33.8310i | 1.18287i | ||||||||
\(819\) | 14.7410 | + | 13.5175i | 0.515092 | + | 0.472340i | ||||
\(820\) | 4.40591i | 0.153861i | ||||||||
\(821\) | 8.41877i | 0.293817i | 0.989150 | + | 0.146909i | \(0.0469323\pi\) | ||||
−0.989150 | + | 0.146909i | \(0.953068\pi\) | |||||||
\(822\) | 14.7981 | + | 33.6479i | 0.516144 | + | 1.17361i | ||||
\(823\) | − | 4.83163i | − | 0.168420i | −0.996448 | − | 0.0842099i | \(-0.973163\pi\) | ||
0.996448 | − | 0.0842099i | \(-0.0268366\pi\) | |||||||
\(824\) | 19.2879 | 0.671927 | ||||||||
\(825\) | −10.9821 | − | 24.9711i | −0.382349 | − | 0.869383i | ||||
\(826\) | 5.80413 | 0.201952 | ||||||||
\(827\) | − | 25.2608i | − | 0.878403i | −0.898389 | − | 0.439202i | \(-0.855261\pi\) | ||
0.898389 | − | 0.439202i | \(-0.144739\pi\) | |||||||
\(828\) | 0.993793 | − | 1.08374i | 0.0345367 | − | 0.0376627i | ||||
\(829\) | −43.9036 | −1.52484 | −0.762418 | − | 0.647085i | \(-0.775988\pi\) | ||||
−0.762418 | + | 0.647085i | \(0.775988\pi\) | |||||||
\(830\) | −16.7360 | −0.580916 | ||||||||
\(831\) | −19.6751 | + | 8.65298i | −0.682521 | + | 0.300168i | ||||
\(832\) | −20.6619 | −0.716323 | ||||||||
\(833\) | 9.49409 | 0.328951 | ||||||||
\(834\) | −19.1063 | + | 8.40281i | −0.661596 | + | 0.290965i | ||||
\(835\) | 7.24819i | 0.250834i | ||||||||
\(836\) | 7.99837i | 0.276629i | ||||||||
\(837\) | 35.0588 | + | 11.9222i | 1.21181 | + | 0.412091i | ||||
\(838\) | 10.1182i | 0.349528i | ||||||||
\(839\) | 45.6067 | 1.57452 | 0.787259 | − | 0.616622i | \(-0.211499\pi\) | ||||
0.787259 | + | 0.616622i | \(0.211499\pi\) | |||||||
\(840\) | 22.4173 | − | 9.85899i | 0.773471 | − | 0.340168i | ||||
\(841\) | −27.7450 | −0.956724 | ||||||||
\(842\) | 11.3352i | 0.390636i | ||||||||
\(843\) | −16.1649 | − | 36.7557i | −0.556750 | − | 1.26593i | ||||
\(844\) | 1.37009 | − | 5.70681i | 0.0471605 | − | 0.196436i | ||||
\(845\) | 0.902510i | 0.0310473i | ||||||||
\(846\) | −8.33702 | − | 7.64505i | −0.286633 | − | 0.262842i | ||||
\(847\) | 4.14935i | 0.142573i | ||||||||
\(848\) | 23.3738i | 0.802659i | ||||||||
\(849\) | −3.37871 | − | 7.68248i | −0.115957 | − | 0.263662i | ||||
\(850\) | −18.2117 | −0.624657 | ||||||||
\(851\) | 5.02611 | 0.172293 | ||||||||
\(852\) | −1.88126 | − | 4.27760i | −0.0644509 | − | 0.146548i | ||||
\(853\) | 13.1930 | 0.451719 | 0.225860 | − | 0.974160i | \(-0.427481\pi\) | ||||
0.225860 | + | 0.974160i | \(0.427481\pi\) | |||||||
\(854\) | 22.4032 | 0.766623 | ||||||||
\(855\) | −36.7777 | − | 33.7252i | −1.25777 | − | 1.15338i | ||||
\(856\) | − | 16.9461i | − | 0.579207i | ||||||
\(857\) | − | 11.4571i | − | 0.391367i | −0.980667 | − | 0.195684i | \(-0.937307\pi\) | ||
0.980667 | − | 0.195684i | \(-0.0626926\pi\) | |||||||
\(858\) | −14.0105 | − | 31.8569i | −0.478310 | − | 1.08758i | ||||
\(859\) | − | 32.2425i | − | 1.10010i | −0.835132 | − | 0.550050i | \(-0.814609\pi\) | ||
0.835132 | − | 0.550050i | \(-0.185391\pi\) | |||||||
\(860\) | − | 10.7256i | − | 0.365740i | ||||||
\(861\) | 4.65566 | + | 10.5860i | 0.158664 | + | 0.360770i | ||||
\(862\) | − | 19.2817i | − | 0.656737i | ||||||
\(863\) | 14.4055i | 0.490368i | 0.969477 | + | 0.245184i | \(0.0788484\pi\) | ||||
−0.969477 | + | 0.245184i | \(0.921152\pi\) | |||||||
\(864\) | −3.76864 | + | 11.0822i | −0.128212 | + | 0.377024i | ||||
\(865\) | 54.2350 | 1.84405 | ||||||||
\(866\) | −13.8610 | −0.471016 | ||||||||
\(867\) | −15.2972 | + | 6.72760i | −0.519519 | + | 0.228481i | ||||
\(868\) | 5.38565 | 0.182801 | ||||||||
\(869\) | 5.43112i | 0.184238i | ||||||||
\(870\) | −3.69993 | − | 8.41289i | −0.125439 | − | 0.285224i | ||||
\(871\) | − | 37.1733i | − | 1.25957i | ||||||
\(872\) | 39.6844 | 1.34388 | ||||||||
\(873\) | 40.5394 | + | 37.1747i | 1.37205 | + | 1.25817i | ||||
\(874\) | 10.2414 | 0.346421 | ||||||||
\(875\) | −3.81707 | −0.129040 | ||||||||
\(876\) | −5.52874 | + | 2.43150i | −0.186799 | + | 0.0821529i | ||||
\(877\) | 48.7287i | 1.64545i | 0.568440 | + | 0.822725i | \(0.307547\pi\) | ||||
−0.568440 | + | 0.822725i | \(0.692453\pi\) | |||||||
\(878\) | − | 18.2942i | − | 0.617401i | ||||||
\(879\) | 4.81281 | + | 10.9434i | 0.162332 | + | 0.369110i | ||||
\(880\) | −51.5876 | −1.73902 | ||||||||
\(881\) | − | 21.7027i | − | 0.731183i | −0.930775 | − | 0.365591i | \(-0.880867\pi\) | ||
0.930775 | − | 0.365591i | \(-0.119133\pi\) | |||||||
\(882\) | 11.0079 | − | 12.0042i | 0.370655 | − | 0.404204i | ||||
\(883\) | − | 27.5896i | − | 0.928464i | −0.885714 | − | 0.464232i | \(-0.846330\pi\) | ||
0.885714 | − | 0.464232i | \(-0.153670\pi\) | |||||||
\(884\) | −3.90478 | −0.131332 | ||||||||
\(885\) | 9.69344 | − | 4.26311i | 0.325841 | − | 0.143303i | ||||
\(886\) | 1.67387i | 0.0562349i | ||||||||
\(887\) | − | 48.5574i | − | 1.63040i | −0.579181 | − | 0.815199i | \(-0.696628\pi\) | ||
0.579181 | − | 0.815199i | \(-0.303372\pi\) | |||||||
\(888\) | −16.2552 | + | 7.14892i | −0.545488 | + | 0.239902i | ||||
\(889\) | 12.4753 | 0.418409 | ||||||||
\(890\) | 85.1588i | 2.85453i | ||||||||
\(891\) | 32.5990 | − | 2.82815i | 1.09211 | − | 0.0947466i | ||||
\(892\) | 1.12486i | 0.0376633i | ||||||||
\(893\) | − | 13.2411i | − | 0.443097i | ||||||
\(894\) | −10.0154 | + | 4.40469i | −0.334964 | + | 0.147315i | ||||
\(895\) | −15.1581 | −0.506680 | ||||||||
\(896\) | − | 25.2383i | − | 0.843153i | ||||||
\(897\) | −6.85555 | + | 3.01503i | −0.228900 | + | 0.100669i | ||||
\(898\) | 24.2368 | 0.808792 | ||||||||
\(899\) | 7.98365i | 0.266270i | ||||||||
\(900\) | −3.54880 | + | 3.87001i | −0.118293 | + | 0.129000i | ||||
\(901\) | − | 13.6444i | − | 0.454562i | ||||||
\(902\) | − | 20.1228i | − | 0.670016i | ||||||
\(903\) | −11.3336 | − | 25.7703i | −0.377158 | − | 0.857580i | ||||
\(904\) | − | 1.97474i | − | 0.0656790i | ||||||
\(905\) | −15.2600 | −0.507261 | ||||||||
\(906\) | 48.7570 | − | 21.4430i | 1.61984 | − | 0.712396i | ||||
\(907\) | 49.2433i | 1.63510i | 0.575861 | + | 0.817548i | \(0.304667\pi\) | ||||
−0.575861 | + | 0.817548i | \(0.695333\pi\) | |||||||
\(908\) | 5.50814i | 0.182794i | ||||||||
\(909\) | −30.3605 | − | 27.8406i | −1.00699 | − | 0.923413i | ||||
\(910\) | 31.5774 | 1.04678 | ||||||||
\(911\) | 32.4014 | 1.07351 | 0.536753 | − | 0.843740i | \(-0.319651\pi\) | ||||
0.536753 | + | 0.843740i | \(0.319651\pi\) | |||||||
\(912\) | −40.0982 | + | 17.6349i | −1.32779 | + | 0.583951i | ||||
\(913\) | 12.8465 | 0.425158 | ||||||||
\(914\) | − | 10.0190i | − | 0.331399i | ||||||
\(915\) | 37.4155 | − | 16.4551i | 1.23692 | − | 0.543988i | ||||
\(916\) | 7.56149i | 0.249839i | ||||||||
\(917\) | 33.3265i | 1.10054i | ||||||||
\(918\) | 7.03307 | − | 20.6817i | 0.232126 | − | 0.682598i | ||||
\(919\) | − | 33.5604i | − | 1.10706i | −0.832830 | − | 0.553528i | \(-0.813281\pi\) | ||
0.832830 | − | 0.553528i | \(-0.186719\pi\) | |||||||
\(920\) | 9.17019i | 0.302332i | ||||||||
\(921\) | 9.59780 | − | 4.22105i | 0.316258 | − | 0.139088i | ||||
\(922\) | 12.6516 | 0.416658 | ||||||||
\(923\) | 23.8010i | 0.783418i | ||||||||
\(924\) | 4.35626 | − | 1.91586i | 0.143311 | − | 0.0630270i | ||||
\(925\) | −17.9481 | −0.590130 | ||||||||
\(926\) | − | 45.2683i | − | 1.48761i | ||||||
\(927\) | −15.8041 | + | 17.2345i | −0.519074 | + | 0.566057i | ||||
\(928\) | −2.52366 | −0.0828431 | ||||||||
\(929\) | 49.0177 | 1.60822 | 0.804110 | − | 0.594481i | \(-0.202642\pi\) | ||||
0.804110 | + | 0.594481i | \(0.202642\pi\) | |||||||
\(930\) | 53.5179 | − | 23.5368i | 1.75492 | − | 0.771803i | ||||
\(931\) | 19.0655 | 0.624847 | ||||||||
\(932\) | 9.49327 | 0.310962 | ||||||||
\(933\) | −23.8089 | − | 54.1365i | −0.779468 | − | 1.77235i | ||||
\(934\) | − | 12.4618i | − | 0.407762i | ||||||
\(935\) | 30.1143 | 0.984842 | ||||||||
\(936\) | 17.8834 | − | 19.5021i | 0.584537 | − | 0.637445i | ||||
\(937\) | −33.4688 | −1.09338 | −0.546688 | − | 0.837336i | \(-0.684112\pi\) | ||||
−0.546688 | + | 0.837336i | \(0.684112\pi\) | |||||||
\(938\) | 30.2455 | 0.987551 | ||||||||
\(939\) | 18.0755 | + | 41.0999i | 0.589870 | + | 1.34124i | ||||
\(940\) | −3.00151 | −0.0978985 | ||||||||
\(941\) | 8.32128 | 0.271266 | 0.135633 | − | 0.990759i | \(-0.456693\pi\) | ||||
0.135633 | + | 0.990759i | \(0.456693\pi\) | |||||||
\(942\) | −11.5222 | − | 26.1991i | −0.375413 | − | 0.853611i | ||||
\(943\) | −4.33039 | −0.141017 | ||||||||
\(944\) | − | 9.29602i | − | 0.302560i | ||||||
\(945\) | −9.55882 | + | 28.1090i | −0.310948 | + | 0.914386i | ||||
\(946\) | 48.9863i | 1.59268i | ||||||||
\(947\) | 47.5865i | 1.54635i | 0.634191 | + | 0.773176i | \(0.281333\pi\) | ||||
−0.634191 | + | 0.773176i | \(0.718667\pi\) | |||||||
\(948\) | 0.956940 | − | 0.420856i | 0.0310800 | − | 0.0136688i | ||||
\(949\) | 30.7625 | 0.998592 | ||||||||
\(950\) | −36.5718 | −1.18655 | ||||||||
\(951\) | 55.8184 | − | 24.5486i | 1.81004 | − | 0.796042i | ||||
\(952\) | 12.5496i | 0.406734i | ||||||||
\(953\) | − | 59.8782i | − | 1.93964i | −0.243813 | − | 0.969822i | \(-0.578398\pi\) | ||
0.243813 | − | 0.969822i | \(-0.421602\pi\) | |||||||
\(954\) | −17.2519 | − | 15.8200i | −0.558551 | − | 0.512192i | ||||
\(955\) | 36.4734i | 1.18025i | ||||||||
\(956\) | 1.92732 | 0.0623339 | ||||||||
\(957\) | 2.84005 | + | 6.45770i | 0.0918059 | + | 0.208748i | ||||
\(958\) | −0.262119 | −0.00846869 | ||||||||
\(959\) | 25.6013 | 0.826711 | ||||||||
\(960\) | −12.3478 | − | 28.0764i | −0.398524 | − | 0.906161i | ||||
\(961\) | −19.7874 | −0.638302 | ||||||||
\(962\) | −22.8973 | −0.738239 | ||||||||
\(963\) | 15.1421 | + | 13.8853i | 0.487946 | + | 0.447446i | ||||
\(964\) | 6.89321 | 0.222015 | ||||||||
\(965\) | − | 81.6639i | − | 2.62885i | ||||||
\(966\) | −2.45314 | − | 5.57793i | −0.0789283 | − | 0.179467i | ||||
\(967\) | −23.7599 | −0.764066 | −0.382033 | − | 0.924149i | \(-0.624776\pi\) | ||||
−0.382033 | + | 0.924149i | \(0.624776\pi\) | |||||||
\(968\) | 5.48952 | 0.176440 | ||||||||
\(969\) | 23.4073 | − | 10.2944i | 0.751952 | − | 0.330704i | ||||
\(970\) | 86.8414 | 2.78831 | ||||||||
\(971\) | −42.1698 | −1.35329 | −0.676647 | − | 0.736308i | \(-0.736568\pi\) | ||||
−0.676647 | + | 0.736308i | \(0.736568\pi\) | |||||||
\(972\) | −3.02439 | − | 5.52465i | −0.0970075 | − | 0.177203i | ||||
\(973\) | 14.5372i | 0.466041i | ||||||||
\(974\) | −42.8190 | −1.37201 | ||||||||
\(975\) | 24.4810 | − | 10.7666i | 0.784018 | − | 0.344806i | ||||
\(976\) | − | 35.8815i | − | 1.14854i | ||||||
\(977\) | −8.30026 | −0.265549 | −0.132774 | − | 0.991146i | \(-0.542389\pi\) | ||||
−0.132774 | + | 0.991146i | \(0.542389\pi\) | |||||||
\(978\) | −13.4146 | + | 5.89964i | −0.428951 | + | 0.188650i | ||||
\(979\) | − | 65.3676i | − | 2.08916i | ||||||
\(980\) | − | 4.32179i | − | 0.138055i | ||||||
\(981\) | −32.5165 | + | 35.4596i | −1.03817 | + | 1.13214i | ||||
\(982\) | 24.3138i | 0.775884i | ||||||||
\(983\) | − | 41.1764i | − | 1.31332i | −0.754186 | − | 0.656661i | \(-0.771968\pi\) | ||
0.754186 | − | 0.656661i | \(-0.228032\pi\) | |||||||
\(984\) | 14.0051 | − | 6.15935i | 0.446466 | − | 0.196353i | ||||
\(985\) | 54.7382i | 1.74410i | ||||||||
\(986\) | 4.70967 | 0.149987 | ||||||||
\(987\) | −7.21169 | + | 3.17165i | −0.229550 | + | 0.100955i | ||||
\(988\) | −7.84137 | −0.249467 | ||||||||
\(989\) | 10.5418 | 0.335209 | ||||||||
\(990\) | 34.9159 | − | 38.0762i | 1.10970 | − | 1.21014i | ||||
\(991\) | − | 44.5293i | − | 1.41452i | −0.706954 | − | 0.707260i | \(-0.749931\pi\) | ||
0.706954 | − | 0.707260i | \(-0.250069\pi\) | |||||||
\(992\) | − | 16.0540i | − | 0.509716i | ||||||
\(993\) | 22.1225 | − | 9.72934i | 0.702037 | − | 0.308751i | ||||
\(994\) | −19.3653 | −0.614231 | ||||||||
\(995\) | 25.1282i | 0.796618i | ||||||||
\(996\) | −0.995473 | − | 2.26350i | −0.0315428 | − | 0.0717218i | ||||
\(997\) | − | 24.6717i | − | 0.781360i | −0.920527 | − | 0.390680i | \(-0.872240\pi\) | ||
0.920527 | − | 0.390680i | \(-0.127760\pi\) | |||||||
\(998\) | 45.4539i | 1.43882i | ||||||||
\(999\) | 6.93126 | − | 20.3823i | 0.219295 | − | 0.644868i |
(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 | 633.2.d.a.632.51 | yes | 68 | |
3.2 | odd | 2 | inner | 633.2.d.a.632.17 | ✓ | 68 | |
211.210 | odd | 2 | inner | 633.2.d.a.632.18 | yes | 68 | |
633.632 | even | 2 | inner | 633.2.d.a.632.52 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
633.2.d.a.632.17 | ✓ | 68 | 3.2 | odd | 2 | inner | |
633.2.d.a.632.18 | yes | 68 | 211.210 | odd | 2 | inner | |
633.2.d.a.632.51 | yes | 68 | 1.1 | even | 1 | trivial | |
633.2.d.a.632.52 | yes | 68 | 633.632 | even | 2 | inner |