Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 365.7 | ||
Character | \(\chi\) | \(=\) | 462.365 |
Dual form | 462.2.w.b.281.7 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | −0.711719 | + | 1.57907i | −0.410911 | + | 0.911675i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.152745 | + | 0.0496298i | −0.0683096 | + | 0.0221951i | −0.342972 | − | 0.939345i | \(-0.611434\pi\) |
0.274663 | + | 0.961541i | \(0.411434\pi\) | |||||||
\(6\) | −1.28185 | − | 1.16484i | −0.523313 | − | 0.475546i | ||||
\(7\) | 0.587785 | − | 0.809017i | 0.222162 | − | 0.305780i | ||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −1.98691 | − | 2.24771i | −0.662304 | − | 0.749235i | ||||
\(10\) | − | 0.160605i | − | 0.0507879i | ||||||
\(11\) | −3.12194 | + | 1.11961i | −0.941299 | + | 0.337574i | ||||
\(12\) | 1.50395 | − | 0.859155i | 0.434152 | − | 0.248017i | ||||
\(13\) | −6.36388 | − | 2.06775i | −1.76502 | − | 0.573491i | −0.767322 | − | 0.641262i | \(-0.778411\pi\) |
−0.997701 | + | 0.0677714i | \(0.978411\pi\) | |||||||
\(14\) | 0.587785 | + | 0.809017i | 0.157092 | + | 0.216219i | ||||
\(15\) | 0.0303426 | − | 0.276517i | 0.00783442 | − | 0.0713964i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.841882 | + | 2.59105i | 0.204186 | + | 0.628421i | 0.999746 | + | 0.0225456i | \(0.00717710\pi\) |
−0.795559 | + | 0.605876i | \(0.792823\pi\) | |||||||
\(18\) | 2.75168 | − | 1.19509i | 0.648578 | − | 0.281685i | ||||
\(19\) | −3.45842 | − | 4.76011i | −0.793417 | − | 1.09204i | −0.993674 | − | 0.112301i | \(-0.964178\pi\) |
0.200257 | − | 0.979743i | \(-0.435822\pi\) | |||||||
\(20\) | 0.152745 | + | 0.0496298i | 0.0341548 | + | 0.0110976i | ||||
\(21\) | 0.859155 | + | 1.50395i | 0.187483 | + | 0.328188i | ||||
\(22\) | −0.100078 | − | 3.31511i | −0.0213367 | − | 0.706785i | ||||
\(23\) | − | 2.94363i | − | 0.613788i | −0.951744 | − | 0.306894i | \(-0.900710\pi\) | ||
0.951744 | − | 0.306894i | \(-0.0992898\pi\) | |||||||
\(24\) | 0.352360 | + | 1.69583i | 0.0719252 | + | 0.346160i | ||||
\(25\) | −4.02422 | + | 2.92376i | −0.804843 | + | 0.584753i | ||||
\(26\) | 3.93309 | − | 5.41344i | 0.771343 | − | 1.06166i | ||||
\(27\) | 4.96340 | − | 1.53773i | 0.955207 | − | 0.295937i | ||||
\(28\) | −0.951057 | + | 0.309017i | −0.179733 | + | 0.0583987i | ||||
\(29\) | 5.12098 | + | 3.72061i | 0.950942 | + | 0.690900i | 0.951029 | − | 0.309100i | \(-0.100028\pi\) |
−8.76975e−5 | 1.00000i | \(0.500028\pi\) | ||||||||
\(30\) | 0.253607 | + | 0.114306i | 0.0463021 | + | 0.0208693i | ||||
\(31\) | 2.60546 | − | 8.01878i | 0.467954 | − | 1.44021i | −0.387275 | − | 0.921964i | \(-0.626584\pi\) |
0.855229 | − | 0.518250i | \(-0.173416\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.454006 | − | 5.72659i | 0.0790324 | − | 0.996872i | ||||
\(34\) | −2.72439 | −0.467229 | ||||||||
\(35\) | −0.0496298 | + | 0.152745i | −0.00838897 | + | 0.0258186i | ||||
\(36\) | 0.286277 | + | 2.98631i | 0.0477129 | + | 0.497718i | ||||
\(37\) | −0.501222 | − | 0.364159i | −0.0824003 | − | 0.0598673i | 0.545822 | − | 0.837901i | \(-0.316217\pi\) |
−0.628223 | + | 0.778034i | \(0.716217\pi\) | |||||||
\(38\) | 5.59585 | − | 1.81820i | 0.907766 | − | 0.294951i | ||||
\(39\) | 7.79441 | − | 8.57734i | 1.24810 | − | 1.37347i | ||||
\(40\) | −0.0944015 | + | 0.129933i | −0.0149262 | + | 0.0205441i | ||||
\(41\) | −4.44808 | + | 3.23172i | −0.694673 | + | 0.504709i | −0.878193 | − | 0.478307i | \(-0.841251\pi\) |
0.183520 | + | 0.983016i | \(0.441251\pi\) | |||||||
\(42\) | −1.69583 | + | 0.352360i | −0.261672 | + | 0.0543703i | ||||
\(43\) | 2.41048i | 0.367594i | 0.982964 | + | 0.183797i | \(0.0588390\pi\) | ||||
−0.982964 | + | 0.183797i | \(0.941161\pi\) | |||||||
\(44\) | 3.18379 | + | 0.929247i | 0.479974 | + | 0.140089i | ||||
\(45\) | 0.415044 | + | 0.244715i | 0.0618711 | + | 0.0364800i | ||||
\(46\) | 2.79955 | + | 0.909630i | 0.412772 | + | 0.134118i | ||||
\(47\) | −1.56714 | − | 2.15699i | −0.228592 | − | 0.314629i | 0.679279 | − | 0.733880i | \(-0.262293\pi\) |
−0.907870 | + | 0.419251i | \(0.862293\pi\) | |||||||
\(48\) | −1.72172 | − | 0.188926i | −0.248508 | − | 0.0272691i | ||||
\(49\) | −0.309017 | − | 0.951057i | −0.0441453 | − | 0.135865i | ||||
\(50\) | −1.53711 | − | 4.73075i | −0.217381 | − | 0.669029i | ||||
\(51\) | −4.69062 | − | 0.514708i | −0.656819 | − | 0.0720736i | ||||
\(52\) | 3.93309 | + | 5.41344i | 0.545422 | + | 0.750709i | ||||
\(53\) | 2.46767 | + | 0.801796i | 0.338961 | + | 0.110135i | 0.473551 | − | 0.880766i | \(-0.342972\pi\) |
−0.134590 | + | 0.990901i | \(0.542972\pi\) | |||||||
\(54\) | −0.0713040 | + | 5.19566i | −0.00970325 | + | 0.707040i | ||||
\(55\) | 0.421294 | − | 0.325955i | 0.0568072 | − | 0.0439518i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 9.97797 | − | 2.07322i | 1.32161 | − | 0.274605i | ||||
\(58\) | −5.12098 | + | 3.72061i | −0.672417 | + | 0.488540i | ||||
\(59\) | −8.48442 | + | 11.6778i | −1.10458 | + | 1.52032i | −0.275403 | + | 0.961329i | \(0.588811\pi\) |
−0.829174 | + | 0.558991i | \(0.811189\pi\) | |||||||
\(60\) | −0.187080 | + | 0.205872i | −0.0241520 | + | 0.0265780i | ||||
\(61\) | −7.68134 | + | 2.49582i | −0.983495 | + | 0.319557i | −0.756251 | − | 0.654281i | \(-0.772971\pi\) |
−0.227243 | + | 0.973838i | \(0.572971\pi\) | |||||||
\(62\) | 6.82118 | + | 4.95588i | 0.866291 | + | 0.629397i | ||||
\(63\) | −2.98631 | + | 0.286277i | −0.376240 | + | 0.0360675i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 1.07467 | 0.133297 | ||||||||
\(66\) | 5.30602 | + | 2.20140i | 0.653126 | + | 0.270974i | ||||
\(67\) | 9.38707 | 1.14681 | 0.573407 | − | 0.819271i | \(-0.305622\pi\) | ||||
0.573407 | + | 0.819271i | \(0.305622\pi\) | |||||||
\(68\) | 0.841882 | − | 2.59105i | 0.102093 | − | 0.314211i | ||||
\(69\) | 4.64819 | + | 2.09503i | 0.559576 | + | 0.252213i | ||||
\(70\) | −0.129933 | − | 0.0944015i | −0.0155299 | − | 0.0112831i | ||||
\(71\) | −10.0295 | + | 3.25877i | −1.19028 | + | 0.386745i | −0.836176 | − | 0.548462i | \(-0.815214\pi\) |
−0.354103 | + | 0.935207i | \(0.615214\pi\) | |||||||
\(72\) | −2.92861 | − | 0.650555i | −0.345140 | − | 0.0766686i | ||||
\(73\) | 0.0597686 | − | 0.0822645i | 0.00699539 | − | 0.00962833i | −0.805505 | − | 0.592589i | \(-0.798106\pi\) |
0.812500 | + | 0.582961i | \(0.198106\pi\) | |||||||
\(74\) | 0.501222 | − | 0.364159i | 0.0582658 | − | 0.0423326i | ||||
\(75\) | −1.75271 | − | 8.43541i | −0.202386 | − | 0.974037i | ||||
\(76\) | 5.88382i | 0.674921i | ||||||||
\(77\) | −0.929247 | + | 3.18379i | −0.105898 | + | 0.362826i | ||||
\(78\) | 5.74893 | + | 10.0635i | 0.650938 | + | 1.13946i | ||||
\(79\) | −8.72301 | − | 2.83428i | −0.981415 | − | 0.318881i | −0.226000 | − | 0.974127i | \(-0.572565\pi\) |
−0.755415 | + | 0.655246i | \(0.772565\pi\) | |||||||
\(80\) | −0.0944015 | − | 0.129933i | −0.0105544 | − | 0.0145269i | ||||
\(81\) | −1.10436 | + | 8.93199i | −0.122707 | + | 0.992443i | ||||
\(82\) | −1.69901 | − | 5.22903i | −0.187625 | − | 0.577450i | ||||
\(83\) | −4.39153 | − | 13.5157i | −0.482033 | − | 1.48355i | −0.836232 | − | 0.548376i | \(-0.815246\pi\) |
0.354199 | − | 0.935170i | \(-0.384754\pi\) | |||||||
\(84\) | 0.188926 | − | 1.72172i | 0.0206135 | − | 0.187855i | ||||
\(85\) | −0.257186 | − | 0.353987i | −0.0278958 | − | 0.0383953i | ||||
\(86\) | −2.29250 | − | 0.744879i | −0.247207 | − | 0.0803223i | ||||
\(87\) | −9.51979 | + | 5.43834i | −1.02063 | + | 0.583052i | ||||
\(88\) | −1.86761 | + | 2.74081i | −0.199088 | + | 0.292171i | ||||
\(89\) | − | 15.1000i | − | 1.60060i | −0.599601 | − | 0.800299i | \(-0.704674\pi\) | ||
0.599601 | − | 0.800299i | \(-0.295326\pi\) | |||||||
\(90\) | −0.360994 | + | 0.319109i | −0.0380521 | + | 0.0336370i | ||||
\(91\) | −5.41344 | + | 3.93309i | −0.567483 | + | 0.412300i | ||||
\(92\) | −1.73022 | + | 2.38144i | −0.180388 | + | 0.248283i | ||||
\(93\) | 10.8078 | + | 9.82131i | 1.12072 | + | 1.01842i | ||||
\(94\) | 2.53569 | − | 0.823897i | 0.261537 | − | 0.0849785i | ||||
\(95\) | 0.764500 | + | 0.555442i | 0.0784361 | + | 0.0569871i | ||||
\(96\) | 0.711719 | − | 1.57907i | 0.0726395 | − | 0.161163i | ||||
\(97\) | −3.20306 | + | 9.85801i | −0.325222 | + | 1.00093i | 0.646119 | + | 0.763237i | \(0.276391\pi\) |
−0.971341 | + | 0.237692i | \(0.923609\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 8.71956 | + | 4.79263i | 0.876348 | + | 0.481678i | ||||
\(100\) | 4.97421 | 0.497421 | ||||||||
\(101\) | −3.65609 | + | 11.2523i | −0.363795 | + | 1.11964i | 0.586938 | + | 0.809632i | \(0.300333\pi\) |
−0.950732 | + | 0.310013i | \(0.899667\pi\) | |||||||
\(102\) | 1.93900 | − | 4.30199i | 0.191990 | − | 0.425961i | ||||
\(103\) | 0.881475 | + | 0.640429i | 0.0868543 | + | 0.0631033i | 0.630365 | − | 0.776299i | \(-0.282905\pi\) |
−0.543511 | + | 0.839402i | \(0.682905\pi\) | |||||||
\(104\) | −6.36388 | + | 2.06775i | −0.624030 | + | 0.202760i | ||||
\(105\) | −0.205872 | − | 0.187080i | −0.0200911 | − | 0.0182572i | ||||
\(106\) | −1.52511 | + | 2.09913i | −0.148131 | + | 0.203885i | ||||
\(107\) | −6.75237 | + | 4.90589i | −0.652776 | + | 0.474270i | −0.864216 | − | 0.503121i | \(-0.832185\pi\) |
0.211439 | + | 0.977391i | \(0.432185\pi\) | |||||||
\(108\) | −4.91934 | − | 1.67336i | −0.473363 | − | 0.161019i | ||||
\(109\) | 0.765456i | 0.0733174i | 0.999328 | + | 0.0366587i | \(0.0116714\pi\) | ||||
−0.999328 | + | 0.0366587i | \(0.988329\pi\) | |||||||
\(110\) | 0.179815 | + | 0.501400i | 0.0171447 | + | 0.0478066i | ||||
\(111\) | 0.931761 | − | 0.532284i | 0.0884388 | − | 0.0505222i | ||||
\(112\) | 0.951057 | + | 0.309017i | 0.0898664 | + | 0.0291994i | ||||
\(113\) | 6.11535 | + | 8.41706i | 0.575284 | + | 0.791810i | 0.993168 | − | 0.116690i | \(-0.0372283\pi\) |
−0.417885 | + | 0.908500i | \(0.637228\pi\) | |||||||
\(114\) | −1.11161 | + | 10.1303i | −0.104112 | + | 0.948787i | ||||
\(115\) | 0.146092 | + | 0.449624i | 0.0136231 | + | 0.0419276i | ||||
\(116\) | −1.95604 | − | 6.02007i | −0.181614 | − | 0.558950i | ||||
\(117\) | 7.99678 | + | 18.4126i | 0.739302 | + | 1.70224i | ||||
\(118\) | −8.48442 | − | 11.6778i | −0.781054 | − | 1.07503i | ||||
\(119\) | 2.59105 | + | 0.841882i | 0.237521 | + | 0.0771752i | ||||
\(120\) | −0.137985 | − | 0.241542i | −0.0125962 | − | 0.0220497i | ||||
\(121\) | 8.49296 | − | 6.99068i | 0.772088 | − | 0.635516i | ||||
\(122\) | − | 8.07664i | − | 0.731225i | ||||||
\(123\) | −1.93732 | − | 9.32389i | −0.174682 | − | 0.840707i | ||||
\(124\) | −6.82118 | + | 4.95588i | −0.612560 | + | 0.445051i | ||||
\(125\) | 0.941580 | − | 1.29597i | 0.0842175 | − | 0.115915i | ||||
\(126\) | 0.650555 | − | 2.92861i | 0.0579560 | − | 0.260902i | ||||
\(127\) | 12.9700 | − | 4.21421i | 1.15090 | − | 0.373951i | 0.329419 | − | 0.944184i | \(-0.393147\pi\) |
0.821483 | + | 0.570233i | \(0.193147\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −3.80631 | − | 1.71558i | −0.335127 | − | 0.151049i | ||||
\(130\) | −0.332092 | + | 1.02207i | −0.0291264 | + | 0.0896418i | ||||
\(131\) | −7.47224 | −0.652852 | −0.326426 | − | 0.945223i | \(-0.605844\pi\) | ||||
−0.326426 | + | 0.945223i | \(0.605844\pi\) | |||||||
\(132\) | −3.73331 | + | 4.36605i | −0.324943 | + | 0.380016i | ||||
\(133\) | −5.88382 | −0.510192 | ||||||||
\(134\) | −2.90076 | + | 8.92763i | −0.250588 | + | 0.771230i | ||||
\(135\) | −0.681817 | + | 0.481214i | −0.0586815 | + | 0.0414163i | ||||
\(136\) | 2.20408 | + | 1.60136i | 0.188998 | + | 0.137315i | ||||
\(137\) | −4.15192 | + | 1.34904i | −0.354722 | + | 0.115256i | −0.480957 | − | 0.876744i | \(-0.659711\pi\) |
0.126235 | + | 0.992000i | \(0.459711\pi\) | |||||||
\(138\) | −3.42886 | + | 3.77329i | −0.291884 | + | 0.321203i | ||||
\(139\) | −12.1741 | + | 16.7562i | −1.03260 | + | 1.42125i | −0.129615 | + | 0.991564i | \(0.541374\pi\) |
−0.902981 | + | 0.429681i | \(0.858626\pi\) | |||||||
\(140\) | 0.129933 | − | 0.0944015i | 0.0109813 | − | 0.00797839i | ||||
\(141\) | 4.52140 | − | 0.939457i | 0.380771 | − | 0.0791166i | ||||
\(142\) | − | 10.5456i | − | 0.884967i | ||||||
\(143\) | 22.1827 | − | 0.669659i | 1.85501 | − | 0.0559997i | ||||
\(144\) | 1.52371 | − | 2.58424i | 0.126975 | − | 0.215354i | ||||
\(145\) | −0.966856 | − | 0.314151i | −0.0802930 | − | 0.0260888i | ||||
\(146\) | 0.0597686 | + | 0.0822645i | 0.00494649 | + | 0.00680826i | ||||
\(147\) | 1.72172 | + | 0.188926i | 0.142005 | + | 0.0155824i | ||||
\(148\) | 0.191450 | + | 0.589221i | 0.0157371 | + | 0.0484337i | ||||
\(149\) | 0.923115 | + | 2.84105i | 0.0756245 | + | 0.232748i | 0.981722 | − | 0.190321i | \(-0.0609528\pi\) |
−0.906097 | + | 0.423069i | \(0.860953\pi\) | |||||||
\(150\) | 8.56417 | + | 0.939758i | 0.699262 | + | 0.0767309i | ||||
\(151\) | 0.0890010 | + | 0.122499i | 0.00724280 | + | 0.00996886i | 0.812623 | − | 0.582790i | \(-0.198039\pi\) |
−0.805380 | + | 0.592759i | \(0.798039\pi\) | |||||||
\(152\) | −5.59585 | − | 1.81820i | −0.453883 | − | 0.147476i | ||||
\(153\) | 4.15117 | − | 7.04049i | 0.335602 | − | 0.569190i | ||||
\(154\) | −2.74081 | − | 1.86761i | −0.220861 | − | 0.150496i | ||||
\(155\) | 1.35414i | 0.108767i | ||||||||
\(156\) | −11.3474 | + | 2.35778i | −0.908523 | + | 0.188773i | ||||
\(157\) | 1.43904 | − | 1.04552i | 0.114848 | − | 0.0834417i | −0.528879 | − | 0.848697i | \(-0.677387\pi\) |
0.643727 | + | 0.765256i | \(0.277387\pi\) | |||||||
\(158\) | 5.39112 | − | 7.42024i | 0.428894 | − | 0.590322i | ||||
\(159\) | −3.02238 | + | 3.32597i | −0.239690 | + | 0.263767i | ||||
\(160\) | 0.152745 | − | 0.0496298i | 0.0120755 | − | 0.00392358i | ||||
\(161\) | −2.38144 | − | 1.73022i | −0.187684 | − | 0.136360i | ||||
\(162\) | −8.15356 | − | 3.81045i | −0.640604 | − | 0.299377i | ||||
\(163\) | 5.31247 | − | 16.3501i | 0.416105 | − | 1.28064i | −0.495154 | − | 0.868805i | \(-0.664889\pi\) |
0.911259 | − | 0.411833i | \(-0.135111\pi\) | |||||||
\(164\) | 5.49813 | 0.429331 | ||||||||
\(165\) | 0.214863 | + | 0.897240i | 0.0167270 | + | 0.0698501i | ||||
\(166\) | 14.2113 | 1.10301 | ||||||||
\(167\) | 6.43253 | − | 19.7973i | 0.497764 | − | 1.53196i | −0.314841 | − | 0.949145i | \(-0.601951\pi\) |
0.812605 | − | 0.582815i | \(-0.198049\pi\) | |||||||
\(168\) | 1.57907 | + | 0.711719i | 0.121828 | + | 0.0549103i | ||||
\(169\) | 25.7062 | + | 18.6766i | 1.97740 | + | 1.43666i | ||||
\(170\) | 0.416136 | − | 0.135211i | 0.0319162 | − | 0.0103702i | ||||
\(171\) | −3.82775 | + | 17.2314i | −0.292715 | + | 1.31772i | ||||
\(172\) | 1.41684 | − | 1.95012i | 0.108033 | − | 0.148695i | ||||
\(173\) | −14.9931 | + | 10.8931i | −1.13990 | + | 0.828188i | −0.987106 | − | 0.160069i | \(-0.948828\pi\) |
−0.152797 | + | 0.988258i | \(0.548828\pi\) | |||||||
\(174\) | −2.23040 | − | 10.7344i | −0.169086 | − | 0.813773i | ||||
\(175\) | 4.97421i | 0.376015i | ||||||||
\(176\) | −2.02954 | − | 2.62316i | −0.152982 | − | 0.197728i | ||||
\(177\) | −12.4015 | − | 21.7088i | −0.932155 | − | 1.63173i | ||||
\(178\) | 14.3610 | + | 4.66616i | 1.07640 | + | 0.349743i | ||||
\(179\) | 10.7526 | + | 14.7997i | 0.803686 | + | 1.10618i | 0.992267 | + | 0.124121i | \(0.0396111\pi\) |
−0.188581 | + | 0.982058i | \(0.560389\pi\) | |||||||
\(180\) | −0.191937 | − | 0.441936i | −0.0143062 | − | 0.0329399i | ||||
\(181\) | 0.221317 | + | 0.681143i | 0.0164503 | + | 0.0506289i | 0.958945 | − | 0.283593i | \(-0.0915265\pi\) |
−0.942494 | + | 0.334222i | \(0.891526\pi\) | |||||||
\(182\) | −2.06775 | − | 6.36388i | −0.153272 | − | 0.471722i | ||||
\(183\) | 1.52589 | − | 13.9057i | 0.112797 | − | 1.02794i | ||||
\(184\) | −1.73022 | − | 2.38144i | −0.127553 | − | 0.175562i | ||||
\(185\) | 0.0946322 | + | 0.0307479i | 0.00695750 | + | 0.00226063i | ||||
\(186\) | −12.6804 | + | 7.24391i | −0.929774 | + | 0.531150i | ||||
\(187\) | −5.52926 | − | 7.14651i | −0.404339 | − | 0.522604i | ||||
\(188\) | 2.66619i | 0.194452i | ||||||||
\(189\) | 1.67336 | − | 4.91934i | 0.121719 | − | 0.357829i | ||||
\(190\) | −0.764500 | + | 0.555442i | −0.0554627 | + | 0.0402960i | ||||
\(191\) | 15.3041 | − | 21.0643i | 1.10737 | − | 1.52416i | 0.282126 | − | 0.959377i | \(-0.408960\pi\) |
0.825240 | − | 0.564782i | \(-0.191040\pi\) | |||||||
\(192\) | 1.28185 | + | 1.16484i | 0.0925095 | + | 0.0840654i | ||||
\(193\) | −2.38681 | + | 0.775523i | −0.171807 | + | 0.0558234i | −0.393657 | − | 0.919257i | \(-0.628790\pi\) |
0.221851 | + | 0.975081i | \(0.428790\pi\) | |||||||
\(194\) | −8.38572 | − | 6.09258i | −0.602060 | − | 0.437422i | ||||
\(195\) | −0.764865 | + | 1.69698i | −0.0547731 | + | 0.121523i | ||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | 7.14552 | 0.509097 | 0.254549 | − | 0.967060i | \(-0.418073\pi\) | ||||
0.254549 | + | 0.967060i | \(0.418073\pi\) | |||||||
\(198\) | −7.25256 | + | 6.81179i | −0.515417 | + | 0.484093i | ||||
\(199\) | 12.9631 | 0.918927 | 0.459464 | − | 0.888197i | \(-0.348042\pi\) | ||||
0.459464 | + | 0.888197i | \(0.348042\pi\) | |||||||
\(200\) | −1.53711 | + | 4.73075i | −0.108690 | + | 0.334515i | ||||
\(201\) | −6.68096 | + | 14.8228i | −0.471238 | + | 1.04552i | ||||
\(202\) | −9.57177 | − | 6.95430i | −0.673467 | − | 0.489303i | ||||
\(203\) | 6.02007 | − | 1.95604i | 0.422526 | − | 0.137287i | ||||
\(204\) | 3.49226 | + | 3.17349i | 0.244507 | + | 0.222189i | ||||
\(205\) | 0.519031 | − | 0.714386i | 0.0362507 | − | 0.0498948i | ||||
\(206\) | −0.881475 | + | 0.640429i | −0.0614153 | + | 0.0446208i | ||||
\(207\) | −6.61640 | + | 5.84872i | −0.459872 | + | 0.406514i | ||||
\(208\) | − | 6.69138i | − | 0.463964i | ||||||
\(209\) | 16.1264 | + | 10.9887i | 1.11549 | + | 0.760104i | ||||
\(210\) | 0.241542 | − | 0.137985i | 0.0166680 | − | 0.00952187i | ||||
\(211\) | −21.9899 | − | 7.14496i | −1.51385 | − | 0.491879i | −0.569828 | − | 0.821764i | \(-0.692990\pi\) |
−0.944021 | + | 0.329885i | \(0.892990\pi\) | |||||||
\(212\) | −1.52511 | − | 2.09913i | −0.104745 | − | 0.144169i | ||||
\(213\) | 1.99234 | − | 18.1565i | 0.136513 | − | 1.24407i | ||||
\(214\) | −2.57918 | − | 7.93789i | −0.176309 | − | 0.542623i | ||||
\(215\) | −0.119632 | − | 0.368188i | −0.00815881 | − | 0.0251102i | ||||
\(216\) | 3.11162 | − | 4.16147i | 0.211719 | − | 0.283152i | ||||
\(217\) | −4.95588 | − | 6.82118i | −0.336427 | − | 0.463052i | ||||
\(218\) | −0.727992 | − | 0.236539i | −0.0493058 | − | 0.0160204i | ||||
\(219\) | 0.0873627 | + | 0.152928i | 0.00590342 | + | 0.0103339i | ||||
\(220\) | −0.532426 | + | 0.0160731i | −0.0358961 | + | 0.00108364i | ||||
\(221\) | − | 18.2299i | − | 1.22628i | ||||||
\(222\) | 0.218303 | + | 1.05064i | 0.0146515 | + | 0.0705145i | ||||
\(223\) | 6.15373 | − | 4.47095i | 0.412084 | − | 0.299397i | −0.362361 | − | 0.932038i | \(-0.618029\pi\) |
0.774445 | + | 0.632641i | \(0.218029\pi\) | |||||||
\(224\) | −0.587785 | + | 0.809017i | −0.0392731 | + | 0.0540547i | ||||
\(225\) | 14.5675 | + | 3.23599i | 0.971169 | + | 0.215733i | ||||
\(226\) | −9.89485 | + | 3.21503i | −0.658195 | + | 0.213861i | ||||
\(227\) | −19.2651 | − | 13.9969i | −1.27867 | − | 0.929009i | −0.279160 | − | 0.960245i | \(-0.590056\pi\) |
−0.999512 | + | 0.0312354i | \(0.990056\pi\) | |||||||
\(228\) | −9.29096 | − | 4.18763i | −0.615309 | − | 0.277332i | ||||
\(229\) | −4.25896 | + | 13.1077i | −0.281440 | + | 0.866184i | 0.706003 | + | 0.708209i | \(0.250496\pi\) |
−0.987443 | + | 0.157975i | \(0.949504\pi\) | |||||||
\(230\) | −0.472762 | −0.0311730 | ||||||||
\(231\) | −4.36605 | − | 3.73331i | −0.287265 | − | 0.245634i | ||||
\(232\) | 6.32988 | 0.415577 | ||||||||
\(233\) | 0.322037 | − | 0.991129i | 0.0210974 | − | 0.0649310i | −0.939954 | − | 0.341302i | \(-0.889132\pi\) |
0.961051 | + | 0.276371i | \(0.0891320\pi\) | |||||||
\(234\) | −19.9825 | + | 1.91559i | −1.30630 | + | 0.125226i | ||||
\(235\) | 0.346424 | + | 0.251692i | 0.0225982 | + | 0.0164186i | ||||
\(236\) | 13.7281 | − | 4.46052i | 0.893621 | − | 0.290355i | ||||
\(237\) | 10.6838 | − | 11.7570i | 0.693991 | − | 0.763700i | ||||
\(238\) | −1.60136 | + | 2.20408i | −0.103800 | + | 0.142869i | ||||
\(239\) | −17.2577 | + | 12.5384i | −1.11630 | + | 0.811043i | −0.983645 | − | 0.180119i | \(-0.942352\pi\) |
−0.132660 | + | 0.991162i | \(0.542352\pi\) | |||||||
\(240\) | 0.272360 | − | 0.0565910i | 0.0175807 | − | 0.00365293i | ||||
\(241\) | − | 12.2281i | − | 0.787678i | −0.919179 | − | 0.393839i | \(-0.871147\pi\) | ||
0.919179 | − | 0.393839i | \(-0.128853\pi\) | |||||||
\(242\) | 4.02406 | + | 10.2375i | 0.258676 | + | 0.658093i | ||||
\(243\) | −13.3182 | − | 8.10093i | −0.854364 | − | 0.519675i | ||||
\(244\) | 7.68134 | + | 2.49582i | 0.491747 | + | 0.159778i | ||||
\(245\) | 0.0944015 | + | 0.129933i | 0.00603109 | + | 0.00830109i | ||||
\(246\) | 9.46621 | + | 1.03874i | 0.603544 | + | 0.0662276i | ||||
\(247\) | 12.1663 | + | 37.4439i | 0.774121 | + | 2.38250i | ||||
\(248\) | −2.60546 | − | 8.01878i | −0.165447 | − | 0.509193i | ||||
\(249\) | 24.4678 | + | 2.68489i | 1.55059 | + | 0.170148i | ||||
\(250\) | 0.941580 | + | 1.29597i | 0.0595508 | + | 0.0819646i | ||||
\(251\) | −0.705970 | − | 0.229384i | −0.0445604 | − | 0.0144786i | 0.286652 | − | 0.958035i | \(-0.407458\pi\) |
−0.331212 | + | 0.943556i | \(0.607458\pi\) | |||||||
\(252\) | 2.58424 | + | 1.52371i | 0.162792 | + | 0.0959844i | ||||
\(253\) | 3.29570 | + | 9.18981i | 0.207199 | + | 0.577758i | ||||
\(254\) | 13.6375i | 0.855691i | ||||||||
\(255\) | 0.742014 | − | 0.154176i | 0.0464667 | − | 0.00965486i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −1.74642 | + | 2.40375i | −0.108939 | + | 0.149942i | −0.860005 | − | 0.510285i | \(-0.829540\pi\) |
0.751066 | + | 0.660227i | \(0.229540\pi\) | |||||||
\(258\) | 2.80783 | − | 3.08987i | 0.174808 | − | 0.192367i | ||||
\(259\) | −0.589221 | + | 0.191450i | −0.0366124 | + | 0.0118961i | ||||
\(260\) | −0.869428 | − | 0.631676i | −0.0539196 | − | 0.0391749i | ||||
\(261\) | −1.81210 | − | 18.9030i | −0.112166 | − | 1.17006i | ||||
\(262\) | 2.30905 | − | 7.10652i | 0.142653 | − | 0.439042i | ||||
\(263\) | 2.16498 | 0.133499 | 0.0667493 | − | 0.997770i | \(-0.478737\pi\) | ||||
0.0667493 | + | 0.997770i | \(0.478737\pi\) | |||||||
\(264\) | −2.99871 | − | 4.89977i | −0.184558 | − | 0.301560i | ||||
\(265\) | −0.416718 | −0.0255988 | ||||||||
\(266\) | 1.81820 | − | 5.59585i | 0.111481 | − | 0.343103i | ||||
\(267\) | 23.8439 | + | 10.7470i | 1.45923 | + | 0.657704i | ||||
\(268\) | −7.59430 | − | 5.51758i | −0.463896 | − | 0.337040i | ||||
\(269\) | 1.35856 | − | 0.441423i | 0.0828328 | − | 0.0269140i | −0.267307 | − | 0.963611i | \(-0.586134\pi\) |
0.350140 | + | 0.936697i | \(0.386134\pi\) | |||||||
\(270\) | −0.246969 | − | 0.797150i | −0.0150300 | − | 0.0485130i | ||||
\(271\) | 8.04765 | − | 11.0766i | 0.488860 | − | 0.672858i | −0.491317 | − | 0.870981i | \(-0.663484\pi\) |
0.980177 | + | 0.198123i | \(0.0634844\pi\) | |||||||
\(272\) | −2.20408 | + | 1.60136i | −0.133642 | + | 0.0970964i | ||||
\(273\) | −2.35778 | − | 11.3474i | −0.142699 | − | 0.686779i | ||||
\(274\) | − | 4.36559i | − | 0.263735i | ||||||
\(275\) | 9.28988 | − | 13.6333i | 0.560201 | − | 0.822122i | ||||
\(276\) | −2.52903 | − | 4.42705i | −0.152230 | − | 0.266477i | ||||
\(277\) | −8.82592 | − | 2.86771i | −0.530298 | − | 0.172304i | 0.0316157 | − | 0.999500i | \(-0.489935\pi\) |
−0.561914 | + | 0.827196i | \(0.689935\pi\) | |||||||
\(278\) | −12.1741 | − | 16.7562i | −0.730155 | − | 1.00497i | ||||
\(279\) | −23.2007 | + | 10.0763i | −1.38899 | + | 0.603252i | ||||
\(280\) | 0.0496298 | + | 0.152745i | 0.00296595 | + | 0.00912825i | ||||
\(281\) | −4.04096 | − | 12.4368i | −0.241064 | − | 0.741918i | −0.996259 | − | 0.0864177i | \(-0.972458\pi\) |
0.755195 | − | 0.655500i | \(-0.227542\pi\) | |||||||
\(282\) | −0.503712 | + | 4.59042i | −0.0299956 | + | 0.273355i | ||||
\(283\) | −8.51009 | − | 11.7131i | −0.505873 | − | 0.696274i | 0.477344 | − | 0.878717i | \(-0.341600\pi\) |
−0.983216 | + | 0.182443i | \(0.941600\pi\) | |||||||
\(284\) | 10.0295 | + | 3.25877i | 0.595139 | + | 0.193372i | ||||
\(285\) | −1.42119 | + | 0.811879i | −0.0841840 | + | 0.0480916i | ||||
\(286\) | −6.21794 | + | 21.3039i | −0.367675 | + | 1.25973i | ||||
\(287\) | 5.49813i | 0.324544i | ||||||||
\(288\) | 1.98691 | + | 2.24771i | 0.117080 | + | 0.132447i | ||||
\(289\) | 7.74853 | − | 5.62964i | 0.455796 | − | 0.331155i | ||||
\(290\) | 0.597550 | − | 0.822457i | 0.0350893 | − | 0.0482963i | ||||
\(291\) | −13.2868 | − | 12.0740i | −0.778885 | − | 0.707789i | ||||
\(292\) | −0.0967077 | + | 0.0314222i | −0.00565939 | + | 0.00183885i | ||||
\(293\) | −6.56633 | − | 4.77072i | −0.383609 | − | 0.278708i | 0.379223 | − | 0.925305i | \(-0.376191\pi\) |
−0.762832 | + | 0.646597i | \(0.776191\pi\) | |||||||
\(294\) | −0.711719 | + | 1.57907i | −0.0415083 | + | 0.0920931i | ||||
\(295\) | 0.716384 | − | 2.20480i | 0.0417095 | − | 0.128369i | ||||
\(296\) | −0.619544 | −0.0360103 | ||||||||
\(297\) | −13.7738 | + | 10.3578i | −0.799235 | + | 0.601018i | ||||
\(298\) | −2.98726 | −0.173047 | ||||||||
\(299\) | −6.08668 | + | 18.7329i | −0.352002 | + | 1.08335i | ||||
\(300\) | −3.54024 | + | 7.85461i | −0.204396 | + | 0.453486i | ||||
\(301\) | 1.95012 | + | 1.41684i | 0.112403 | + | 0.0816655i | ||||
\(302\) | −0.144007 | + | 0.0467906i | −0.00828665 | + | 0.00269250i | ||||
\(303\) | −15.1660 | − | 13.7817i | −0.871265 | − | 0.791737i | ||||
\(304\) | 3.45842 | − | 4.76011i | 0.198354 | − | 0.273011i | ||||
\(305\) | 1.04942 | − | 0.762447i | 0.0600895 | − | 0.0436576i | ||||
\(306\) | 5.41312 | + | 6.12362i | 0.309447 | + | 0.350064i | ||||
\(307\) | − | 20.9851i | − | 1.19769i | −0.800867 | − | 0.598843i | \(-0.795627\pi\) | ||
0.800867 | − | 0.598843i | \(-0.204373\pi\) | |||||||
\(308\) | 2.62316 | − | 2.02954i | 0.149468 | − | 0.115644i | ||||
\(309\) | −1.63864 | + | 0.936103i | −0.0932192 | + | 0.0532531i | ||||
\(310\) | −1.28786 | − | 0.418451i | −0.0731455 | − | 0.0237664i | ||||
\(311\) | 4.45601 | + | 6.13317i | 0.252677 | + | 0.347780i | 0.916447 | − | 0.400157i | \(-0.131044\pi\) |
−0.663770 | + | 0.747937i | \(0.731044\pi\) | |||||||
\(312\) | 1.26418 | − | 11.5207i | 0.0715699 | − | 0.652229i | ||||
\(313\) | −0.203328 | − | 0.625778i | −0.0114928 | − | 0.0353710i | 0.945146 | − | 0.326649i | \(-0.105920\pi\) |
−0.956638 | + | 0.291278i | \(0.905920\pi\) | |||||||
\(314\) | 0.549663 | + | 1.69169i | 0.0310193 | + | 0.0954676i | ||||
\(315\) | 0.441936 | − | 0.191937i | 0.0249003 | − | 0.0108144i | ||||
\(316\) | 5.39112 | + | 7.42024i | 0.303274 | + | 0.417421i | ||||
\(317\) | 16.2965 | + | 5.29505i | 0.915302 | + | 0.297400i | 0.728538 | − | 0.685005i | \(-0.240200\pi\) |
0.186764 | + | 0.982405i | \(0.440200\pi\) | |||||||
\(318\) | −2.22922 | − | 3.90224i | −0.125008 | − | 0.218827i | ||||
\(319\) | −20.1530 | − | 5.88202i | −1.12835 | − | 0.329330i | ||||
\(320\) | 0.160605i | 0.00897812i | ||||||||
\(321\) | −2.94094 | − | 14.1541i | −0.164147 | − | 0.790003i | ||||
\(322\) | 2.38144 | − | 1.73022i | 0.132713 | − | 0.0964214i | ||||
\(323\) | 9.42209 | − | 12.9684i | 0.524259 | − | 0.721581i | ||||
\(324\) | 6.14354 | − | 6.57700i | 0.341308 | − | 0.365389i | ||||
\(325\) | 31.6552 | − | 10.2854i | 1.75592 | − | 0.570532i | ||||
\(326\) | 13.9082 | + | 10.1049i | 0.770305 | + | 0.559660i | ||||
\(327\) | −1.20871 | − | 0.544789i | −0.0668416 | − | 0.0301269i | ||||
\(328\) | −1.69901 | + | 5.22903i | −0.0938124 | + | 0.288725i | ||||
\(329\) | −2.66619 | −0.146992 | ||||||||
\(330\) | −0.919722 | − | 0.0729159i | −0.0506290 | − | 0.00401389i | ||||
\(331\) | 11.6127 | 0.638293 | 0.319147 | − | 0.947705i | \(-0.396604\pi\) | ||||
0.319147 | + | 0.947705i | \(0.396604\pi\) | |||||||
\(332\) | −4.39153 | + | 13.5157i | −0.241017 | + | 0.741773i | ||||
\(333\) | 0.177361 | + | 1.85015i | 0.00971934 | + | 0.101388i | ||||
\(334\) | 16.8406 | + | 12.2354i | 0.921475 | + | 0.669491i | ||||
\(335\) | −1.43383 | + | 0.465879i | −0.0783383 | + | 0.0254537i | ||||
\(336\) | −1.16484 | + | 1.28185i | −0.0635474 | + | 0.0699306i | ||||
\(337\) | 10.2525 | − | 14.1114i | 0.558492 | − | 0.768698i | −0.432642 | − | 0.901566i | \(-0.642419\pi\) |
0.991134 | + | 0.132868i | \(0.0424186\pi\) | |||||||
\(338\) | −25.7062 | + | 18.6766i | −1.39823 | + | 1.01587i | ||||
\(339\) | −17.6435 | + | 3.66597i | −0.958265 | + | 0.199108i | ||||
\(340\) | 0.437552i | 0.0237296i | ||||||||
\(341\) | 0.843801 | + | 27.9512i | 0.0456944 | + | 1.51364i | ||||
\(342\) | −15.2052 | − | 8.96521i | −0.822205 | − | 0.484783i | ||||
\(343\) | −0.951057 | − | 0.309017i | −0.0513522 | − | 0.0166853i | ||||
\(344\) | 1.41684 | + | 1.95012i | 0.0763911 | + | 0.105143i | ||||
\(345\) | −0.813963 | − | 0.0893172i | −0.0438223 | − | 0.00480868i | ||||
\(346\) | −5.72685 | − | 17.6254i | −0.307877 | − | 0.947549i | ||||
\(347\) | 3.71644 | + | 11.4380i | 0.199509 | + | 0.614025i | 0.999894 | + | 0.0145394i | \(0.00462821\pi\) |
−0.800385 | + | 0.599486i | \(0.795372\pi\) | |||||||
\(348\) | 10.8983 | + | 1.19588i | 0.584208 | + | 0.0641059i | ||||
\(349\) | 5.97931 | + | 8.22981i | 0.320065 | + | 0.440532i | 0.938487 | − | 0.345315i | \(-0.112228\pi\) |
−0.618422 | + | 0.785846i | \(0.712228\pi\) | |||||||
\(350\) | −4.73075 | − | 1.53711i | −0.252869 | − | 0.0821622i | ||||
\(351\) | −34.7662 | − | 0.477122i | −1.85568 | − | 0.0254669i | ||||
\(352\) | 3.12194 | − | 1.11961i | 0.166400 | − | 0.0596752i | ||||
\(353\) | 9.39359i | 0.499970i | 0.968250 | + | 0.249985i | \(0.0804257\pi\) | ||||
−0.968250 | + | 0.249985i | \(0.919574\pi\) | |||||||
\(354\) | 24.4786 | − | 5.08616i | 1.30102 | − | 0.270326i | ||||
\(355\) | 1.37022 | − | 0.995521i | 0.0727236 | − | 0.0528368i | ||||
\(356\) | −8.87556 | + | 12.2162i | −0.470404 | + | 0.647455i | ||||
\(357\) | −3.17349 | + | 3.49226i | −0.167959 | + | 0.184830i | ||||
\(358\) | −17.3980 | + | 5.65297i | −0.919515 | + | 0.298769i | ||||
\(359\) | 17.8080 | + | 12.9382i | 0.939869 | + | 0.682855i | 0.948389 | − | 0.317109i | \(-0.102712\pi\) |
−0.00852040 | + | 0.999964i | \(0.502712\pi\) | |||||||
\(360\) | 0.479618 | − | 0.0459777i | 0.0252781 | − | 0.00242324i | ||||
\(361\) | −4.82665 | + | 14.8549i | −0.254034 | + | 0.781837i | ||||
\(362\) | −0.716196 | −0.0376424 | ||||||||
\(363\) | 4.99415 | + | 18.3864i | 0.262125 | + | 0.965034i | ||||
\(364\) | 6.69138 | 0.350724 | ||||||||
\(365\) | −0.00504658 | + | 0.0155318i | −0.000264150 | + | 0.000812971i | ||||
\(366\) | 12.7536 | + | 5.74830i | 0.666639 | + | 0.300468i | ||||
\(367\) | 13.6048 | + | 9.88448i | 0.710166 | + | 0.515966i | 0.883227 | − | 0.468945i | \(-0.155366\pi\) |
−0.173061 | + | 0.984911i | \(0.555366\pi\) | |||||||
\(368\) | 2.79955 | − | 0.909630i | 0.145937 | − | 0.0474178i | ||||
\(369\) | 16.1019 | + | 3.57683i | 0.838231 | + | 0.186202i | ||||
\(370\) | −0.0584859 | + | 0.0804989i | −0.00304054 | + | 0.00418494i | ||||
\(371\) | 2.09913 | − | 1.52511i | 0.108981 | − | 0.0791796i | ||||
\(372\) | −2.97090 | − | 14.2983i | −0.154034 | − | 0.741332i | ||||
\(373\) | − | 11.6100i | − | 0.601145i | −0.953759 | − | 0.300572i | \(-0.902822\pi\) | ||
0.953759 | − | 0.300572i | \(-0.0971777\pi\) | |||||||
\(374\) | 8.50536 | − | 3.05024i | 0.439802 | − | 0.157724i | ||||
\(375\) | 1.37629 | + | 2.40919i | 0.0710713 | + | 0.124410i | ||||
\(376\) | −2.53569 | − | 0.823897i | −0.130768 | − | 0.0424892i | ||||
\(377\) | −24.8960 | − | 34.2664i | −1.28221 | − | 1.76481i | ||||
\(378\) | 4.16147 | + | 3.11162i | 0.214043 | + | 0.160044i | ||||
\(379\) | 5.02873 | + | 15.4768i | 0.258308 | + | 0.794992i | 0.993160 | + | 0.116763i | \(0.0372519\pi\) |
−0.734851 | + | 0.678228i | \(0.762748\pi\) | |||||||
\(380\) | −0.292013 | − | 0.898724i | −0.0149800 | − | 0.0461036i | ||||
\(381\) | −2.57647 | + | 23.4798i | −0.131997 | + | 1.20291i | ||||
\(382\) | 15.3041 | + | 21.0643i | 0.783026 | + | 1.07774i | ||||
\(383\) | 14.2826 | + | 4.64070i | 0.729807 | + | 0.237129i | 0.650270 | − | 0.759703i | \(-0.274656\pi\) |
0.0795372 | + | 0.996832i | \(0.474656\pi\) | |||||||
\(384\) | −1.50395 | + | 0.859155i | −0.0767479 | + | 0.0438436i | ||||
\(385\) | −0.0160731 | − | 0.532426i | −0.000819159 | − | 0.0271349i | ||||
\(386\) | − | 2.50964i | − | 0.127738i | ||||||
\(387\) | 5.41805 | − | 4.78941i | 0.275415 | − | 0.243459i | ||||
\(388\) | 8.38572 | − | 6.09258i | 0.425720 | − | 0.309304i | ||||
\(389\) | −1.76075 | + | 2.42346i | −0.0892736 | + | 0.122875i | −0.851318 | − | 0.524651i | \(-0.824196\pi\) |
0.762044 | + | 0.647525i | \(0.224196\pi\) | |||||||
\(390\) | −1.37757 | − | 1.25183i | −0.0697559 | − | 0.0633886i | ||||
\(391\) | 7.62707 | − | 2.47819i | 0.385718 | − | 0.125327i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | 5.31813 | − | 11.7992i | 0.268264 | − | 0.595189i | ||||
\(394\) | −2.20809 | + | 6.79580i | −0.111242 | + | 0.342367i | ||||
\(395\) | 1.47306 | 0.0741177 | ||||||||
\(396\) | −4.23723 | − | 9.00255i | −0.212929 | − | 0.452395i | ||||
\(397\) | 8.11214 | 0.407137 | 0.203568 | − | 0.979061i | \(-0.434746\pi\) | ||||
0.203568 | + | 0.979061i | \(0.434746\pi\) | |||||||
\(398\) | −4.00581 | + | 12.3286i | −0.200793 | + | 0.617977i | ||||
\(399\) | 4.18763 | − | 9.29096i | 0.209644 | − | 0.465130i | ||||
\(400\) | −4.02422 | − | 2.92376i | −0.201211 | − | 0.146188i | ||||
\(401\) | −30.8478 | + | 10.0231i | −1.54047 | + | 0.500528i | −0.951505 | − | 0.307633i | \(-0.900463\pi\) |
−0.588962 | + | 0.808161i | \(0.700463\pi\) | |||||||
\(402\) | −12.0328 | − | 10.9345i | −0.600142 | − | 0.545362i | ||||
\(403\) | −33.1617 | + | 45.6431i | −1.65190 | + | 2.27364i | ||||
\(404\) | 9.57177 | − | 6.95430i | 0.476213 | − | 0.345989i | ||||
\(405\) | −0.274607 | − | 1.41912i | −0.0136453 | − | 0.0705169i | ||||
\(406\) | 6.32988i | 0.314147i | ||||||||
\(407\) | 1.97250 | + | 0.575709i | 0.0977730 | + | 0.0285369i | ||||
\(408\) | −4.09733 | + | 2.34067i | −0.202848 | + | 0.115881i | ||||
\(409\) | 24.0621 | + | 7.81825i | 1.18979 | + | 0.386587i | 0.835997 | − | 0.548735i | \(-0.184890\pi\) |
0.353797 | + | 0.935322i | \(0.384890\pi\) | |||||||
\(410\) | 0.519031 | + | 0.714386i | 0.0256331 | + | 0.0352810i | ||||
\(411\) | 0.824774 | − | 7.51630i | 0.0406831 | − | 0.370752i | ||||
\(412\) | −0.336693 | − | 1.03624i | −0.0165877 | − | 0.0510517i | ||||
\(413\) | 4.46052 | + | 13.7281i | 0.219488 | + | 0.675514i | ||||
\(414\) | −3.51789 | − | 8.09993i | −0.172895 | − | 0.398090i | ||||
\(415\) | 1.34157 | + | 1.84651i | 0.0658550 | + | 0.0906416i | ||||
\(416\) | 6.36388 | + | 2.06775i | 0.312015 | + | 0.101380i | ||||
\(417\) | −17.7947 | − | 31.1495i | −0.871410 | − | 1.52540i | ||||
\(418\) | −15.4342 | + | 11.9415i | −0.754912 | + | 0.584076i | ||||
\(419\) | − | 3.94839i | − | 0.192892i | −0.995338 | − | 0.0964458i | \(-0.969253\pi\) | ||
0.995338 | − | 0.0964458i | \(-0.0307475\pi\) | |||||||
\(420\) | 0.0565910 | + | 0.272360i | 0.00276136 | + | 0.0132898i | ||||
\(421\) | −21.4274 | + | 15.5679i | −1.04431 | + | 0.758733i | −0.971121 | − | 0.238586i | \(-0.923316\pi\) |
−0.0731846 | + | 0.997318i | \(0.523316\pi\) | |||||||
\(422\) | 13.5905 | − | 18.7057i | 0.661576 | − | 0.910582i | ||||
\(423\) | −1.73450 | + | 7.80823i | −0.0843342 | + | 0.379649i | ||||
\(424\) | 2.46767 | − | 0.801796i | 0.119841 | − | 0.0389387i | ||||
\(425\) | −10.9635 | − | 7.96547i | −0.531809 | − | 0.386382i | ||||
\(426\) | 16.6522 | + | 7.50551i | 0.806803 | + | 0.363643i | ||||
\(427\) | −2.49582 | + | 7.68134i | −0.120781 | + | 0.371726i | ||||
\(428\) | 8.34639 | 0.403438 | ||||||||
\(429\) | −14.7304 | + | 35.5046i | −0.711191 | + | 1.71418i | ||||
\(430\) | 0.387136 | 0.0186694 | ||||||||
\(431\) | −11.3955 | + | 35.0716i | −0.548900 | + | 1.68934i | 0.162631 | + | 0.986687i | \(0.448002\pi\) |
−0.711531 | + | 0.702655i | \(0.751998\pi\) | |||||||
\(432\) | 2.99625 | + | 4.24529i | 0.144157 | + | 0.204252i | ||||
\(433\) | −17.7907 | − | 12.9257i | −0.854966 | − | 0.621169i | 0.0715448 | − | 0.997437i | \(-0.477207\pi\) |
−0.926511 | + | 0.376268i | \(0.877207\pi\) | |||||||
\(434\) | 8.01878 | − | 2.60546i | 0.384914 | − | 0.125066i | ||||
\(435\) | 1.18420 | − | 1.30314i | 0.0567778 | − | 0.0624810i | ||||
\(436\) | 0.449924 | − | 0.619267i | 0.0215474 | − | 0.0296575i | ||||
\(437\) | −14.0120 | + | 10.1803i | −0.670284 | + | 0.486990i | ||||
\(438\) | −0.172440 | + | 0.0358295i | −0.00823949 | + | 0.00171200i | ||||
\(439\) | − | 0.987382i | − | 0.0471252i | −0.999722 | − | 0.0235626i | \(-0.992499\pi\) | ||
0.999722 | − | 0.0235626i | \(-0.00750090\pi\) | |||||||
\(440\) | 0.149242 | − | 0.511334i | 0.00711484 | − | 0.0243769i | ||||
\(441\) | −1.52371 | + | 2.58424i | −0.0725574 | + | 0.123059i | ||||
\(442\) | 17.3377 | + | 5.63335i | 0.824669 | + | 0.267951i | ||||
\(443\) | −5.42049 | − | 7.46066i | −0.257535 | − | 0.354467i | 0.660597 | − | 0.750740i | \(-0.270303\pi\) |
−0.918132 | + | 0.396274i | \(0.870303\pi\) | |||||||
\(444\) | −1.06668 | − | 0.117048i | −0.0506223 | − | 0.00555486i | ||||
\(445\) | 0.749411 | + | 2.30645i | 0.0355255 | + | 0.109336i | ||||
\(446\) | 2.35051 | + | 7.23414i | 0.111300 | + | 0.342547i | ||||
\(447\) | −5.14322 | − | 0.564372i | −0.243266 | − | 0.0266939i | ||||
\(448\) | −0.587785 | − | 0.809017i | −0.0277702 | − | 0.0382225i | ||||
\(449\) | −28.6076 | − | 9.29517i | −1.35008 | − | 0.438666i | −0.457358 | − | 0.889283i | \(-0.651204\pi\) |
−0.892718 | + | 0.450617i | \(0.851204\pi\) | |||||||
\(450\) | −7.57923 | + | 12.8546i | −0.357288 | + | 0.605970i | ||||
\(451\) | 10.2684 | − | 15.0693i | 0.483518 | − | 0.709586i | ||||
\(452\) | − | 10.4041i | − | 0.489366i | ||||||
\(453\) | −0.256779 | + | 0.0533535i | −0.0120645 | + | 0.00250677i | ||||
\(454\) | 19.2651 | − | 13.9969i | 0.904157 | − | 0.656909i | ||||
\(455\) | 0.631676 | − | 0.869428i | 0.0296134 | − | 0.0407594i | ||||
\(456\) | 6.85373 | − | 7.54218i | 0.320956 | − | 0.353195i | ||||
\(457\) | −13.0274 | + | 4.23287i | −0.609398 | + | 0.198005i | −0.597427 | − | 0.801923i | \(-0.703810\pi\) |
−0.0119705 | + | 0.999928i | \(0.503810\pi\) | |||||||
\(458\) | −11.1501 | − | 8.10103i | −0.521010 | − | 0.378536i | ||||
\(459\) | 8.16294 | + | 11.5658i | 0.381014 | + | 0.539846i | ||||
\(460\) | 0.146092 | − | 0.449624i | 0.00681156 | − | 0.0209638i | ||||
\(461\) | −2.00605 | −0.0934310 | −0.0467155 | − | 0.998908i | \(-0.514875\pi\) | ||||
−0.0467155 | + | 0.998908i | \(0.514875\pi\) | |||||||
\(462\) | 4.89977 | − | 2.99871i | 0.227958 | − | 0.139513i | ||||
\(463\) | −22.4838 | −1.04491 | −0.522456 | − | 0.852666i | \(-0.674984\pi\) | ||||
−0.522456 | + | 0.852666i | \(0.674984\pi\) | |||||||
\(464\) | −1.95604 | + | 6.02007i | −0.0908069 | + | 0.279475i | ||||
\(465\) | −2.13827 | − | 0.963764i | −0.0991600 | − | 0.0446935i | ||||
\(466\) | 0.843104 | + | 0.612551i | 0.0390561 | + | 0.0283759i | ||||
\(467\) | 14.7956 | − | 4.80739i | 0.684659 | − | 0.222459i | 0.0540251 | − | 0.998540i | \(-0.482795\pi\) |
0.630634 | + | 0.776080i | \(0.282795\pi\) | |||||||
\(468\) | 4.35311 | − | 19.5965i | 0.201222 | − | 0.905847i | ||||
\(469\) | 5.51758 | − | 7.59430i | 0.254778 | − | 0.350672i | ||||
\(470\) | −0.346424 | + | 0.251692i | −0.0159794 | + | 0.0116097i | ||||
\(471\) | 0.626760 | + | 3.01646i | 0.0288796 | + | 0.138991i | ||||
\(472\) | 14.4345i | 0.664404i | ||||||||
\(473\) | −2.69879 | − | 7.52536i | −0.124090 | − | 0.346016i | ||||
\(474\) | 7.88010 | + | 13.7941i | 0.361945 | + | 0.633582i | ||||
\(475\) | 27.8349 | + | 9.04411i | 1.27715 | + | 0.414972i | ||||
\(476\) | −1.60136 | − | 2.20408i | −0.0733980 | − | 0.101024i | ||||
\(477\) | −3.10085 | − | 7.13970i | −0.141978 | − | 0.326905i | ||||
\(478\) | −6.59184 | − | 20.2876i | −0.301504 | − | 0.927933i | ||||
\(479\) | −7.65871 | − | 23.5711i | −0.349935 | − | 1.07699i | −0.958888 | − | 0.283784i | \(-0.908410\pi\) |
0.608953 | − | 0.793206i | \(-0.291590\pi\) | |||||||
\(480\) | −0.0303426 | + | 0.276517i | −0.00138494 | + | 0.0126212i | ||||
\(481\) | 2.43673 | + | 3.35386i | 0.111105 | + | 0.152923i | ||||
\(482\) | 11.6296 | + | 3.77868i | 0.529712 | + | 0.172114i | ||||
\(483\) | 4.42705 | − | 2.52903i | 0.201438 | − | 0.115075i | ||||
\(484\) | −10.9800 | + | 0.663539i | −0.499089 | + | 0.0301609i | ||||
\(485\) | − | 1.66473i | − | 0.0755914i | ||||||
\(486\) | 11.8200 | − | 10.1631i | 0.536166 | − | 0.461006i | ||||
\(487\) | 18.9050 | − | 13.7353i | 0.856667 | − | 0.622405i | −0.0703088 | − | 0.997525i | \(-0.522398\pi\) |
0.926976 | + | 0.375120i | \(0.122398\pi\) | |||||||
\(488\) | −4.74733 | + | 6.53414i | −0.214901 | + | 0.295787i | ||||
\(489\) | 22.0369 | + | 20.0254i | 0.996544 | + | 0.905581i | ||||
\(490\) | −0.152745 | + | 0.0496298i | −0.00690031 | + | 0.00224205i | ||||
\(491\) | −11.4997 | − | 8.35505i | −0.518976 | − | 0.377058i | 0.297242 | − | 0.954802i | \(-0.403933\pi\) |
−0.816218 | + | 0.577744i | \(0.803933\pi\) | |||||||
\(492\) | −3.91312 | + | 8.68191i | −0.176417 | + | 0.391411i | ||||
\(493\) | −5.32901 | + | 16.4010i | −0.240007 | + | 0.738664i | ||||
\(494\) | −39.3709 | −1.77138 | ||||||||
\(495\) | −1.56973 | − | 0.299300i | −0.0705539 | − | 0.0134525i | ||||
\(496\) | 8.43144 | 0.378583 | ||||||||
\(497\) | −3.25877 | + | 10.0295i | −0.146176 | + | 0.449883i | ||||
\(498\) | −10.1145 | + | 22.4406i | −0.453239 | + | 1.00559i | ||||
\(499\) | 31.5546 | + | 22.9258i | 1.41258 | + | 1.02630i | 0.992941 | + | 0.118606i | \(0.0378424\pi\) |
0.419636 | + | 0.907692i | \(0.362158\pi\) | |||||||
\(500\) | −1.52351 | + | 0.495018i | −0.0681334 | + | 0.0221379i | ||||
\(501\) | 26.6831 | + | 24.2475i | 1.19211 | + | 1.08330i | ||||
\(502\) | 0.436314 | − | 0.600534i | 0.0194736 | − | 0.0268031i | ||||
\(503\) | −11.0554 | + | 8.03224i | −0.492937 | + | 0.358140i | −0.806313 | − | 0.591489i | \(-0.798540\pi\) |
0.313376 | + | 0.949629i | \(0.398540\pi\) | |||||||
\(504\) | −2.24771 | + | 1.98691i | −0.100121 | + | 0.0885041i | ||||
\(505\) | − | 1.90018i | − | 0.0845569i | ||||||
\(506\) | −9.75846 | + | 0.294592i | −0.433816 | + | 0.0130962i | ||||
\(507\) | −47.7872 | + | 27.2993i | −2.12230 | + | 1.21240i | ||||
\(508\) | −12.9700 | − | 4.21421i | −0.575451 | − | 0.186975i | ||||
\(509\) | −0.328071 | − | 0.451551i | −0.0145415 | − | 0.0200146i | 0.801684 | − | 0.597748i | \(-0.203938\pi\) |
−0.816226 | + | 0.577733i | \(0.803938\pi\) | |||||||
\(510\) | −0.0826650 | + | 0.753340i | −0.00366047 | + | 0.0333584i | ||||
\(511\) | −0.0314222 | − | 0.0967077i | −0.00139004 | − | 0.00427810i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −24.4853 | − | 18.3082i | −1.08105 | − | 0.808328i | ||||
\(514\) | −1.74642 | − | 2.40375i | −0.0770314 | − | 0.106025i | ||||
\(515\) | −0.166425 | − | 0.0540748i | −0.00733357 | − | 0.00238282i | ||||
\(516\) | 2.07097 | + | 3.62523i | 0.0911695 | + | 0.159592i | ||||
\(517\) | 7.30750 | + | 4.97940i | 0.321384 | + | 0.218994i | ||||
\(518\) | − | 0.619544i | − | 0.0272212i | ||||||
\(519\) | −6.53010 | − | 31.4279i | −0.286640 | − | 1.37953i | ||||
\(520\) | 0.869428 | − | 0.631676i | 0.0381269 | − | 0.0277008i | ||||
\(521\) | 10.1785 | − | 14.0094i | 0.445926 | − | 0.613765i | −0.525590 | − | 0.850738i | \(-0.676155\pi\) |
0.971516 | + | 0.236973i | \(0.0761553\pi\) | |||||||
\(522\) | 18.5378 | + | 4.11793i | 0.811376 | + | 0.180237i | ||||
\(523\) | 3.75620 | − | 1.22046i | 0.164247 | − | 0.0533672i | −0.225739 | − | 0.974188i | \(-0.572480\pi\) |
0.389986 | + | 0.920821i | \(0.372480\pi\) | |||||||
\(524\) | 6.04517 | + | 4.39207i | 0.264084 | + | 0.191868i | ||||
\(525\) | −7.85461 | − | 3.54024i | −0.342803 | − | 0.154509i | ||||
\(526\) | −0.669016 | + | 2.05902i | −0.0291705 | + | 0.0897776i | ||||
\(527\) | 22.9705 | 1.00061 | ||||||||
\(528\) | 5.58661 | − | 1.33783i | 0.243126 | − | 0.0582215i | ||||
\(529\) | 14.3351 | 0.623264 | ||||||||
\(530\) | 0.128773 | − | 0.396322i | 0.00559353 | − | 0.0172151i | ||||
\(531\) | 43.1060 | − | 4.13228i | 1.87064 | − | 0.179326i | ||||
\(532\) | 4.76011 | + | 3.45842i | 0.206377 | + | 0.149942i | ||||
\(533\) | 34.9894 | − | 11.3687i | 1.51556 | − | 0.492435i | ||||
\(534\) | −17.5892 | + | 19.3559i | −0.761157 | + | 0.837614i | ||||
\(535\) | 0.787912 | − | 1.08447i | 0.0340644 | − | 0.0468856i | ||||
\(536\) | 7.59430 | − | 5.51758i | 0.328024 | − | 0.238323i | ||||
\(537\) | −31.0225 | + | 6.44586i | −1.33872 | + | 0.278159i | ||||
\(538\) | 1.42847i | 0.0615859i | ||||||||
\(539\) | 2.02954 | + | 2.62316i | 0.0874185 | + | 0.112987i | ||||
\(540\) | 0.834452 | + | 0.0114518i | 0.0359091 | + | 0.000492808i | ||||
\(541\) | −2.19061 | − | 0.711774i | −0.0941819 | − | 0.0306015i | 0.261547 | − | 0.965191i | \(-0.415767\pi\) |
−0.355729 | + | 0.934589i | \(0.615767\pi\) | |||||||
\(542\) | 8.04765 | + | 11.0766i | 0.345676 | + | 0.475783i | ||||
\(543\) | −1.23309 | − | 0.135308i | −0.0529168 | − | 0.00580663i | ||||
\(544\) | −0.841882 | − | 2.59105i | −0.0360954 | − | 0.111090i | ||||
\(545\) | −0.0379894 | − | 0.116919i | −0.00162729 | − | 0.00500828i | ||||
\(546\) | 11.5207 | + | 1.26418i | 0.493039 | + | 0.0541018i | ||||
\(547\) | −10.3976 | − | 14.3110i | −0.444568 | − | 0.611895i | 0.526652 | − | 0.850081i | \(-0.323447\pi\) |
−0.971219 | + | 0.238186i | \(0.923447\pi\) | |||||||
\(548\) | 4.15192 | + | 1.34904i | 0.177361 | + | 0.0576281i | ||||
\(549\) | 20.8720 | + | 12.3064i | 0.890796 | + | 0.525225i | ||||
\(550\) | 10.0954 | + | 13.0481i | 0.430467 | + | 0.556374i | ||||
\(551\) | − | 37.2439i | − | 1.58664i | ||||||
\(552\) | 4.99189 | − | 1.03722i | 0.212469 | − | 0.0441469i | ||||
\(553\) | −7.42024 | + | 5.39112i | −0.315541 | + | 0.229254i | ||||
\(554\) | 5.45472 | − | 7.50777i | 0.231749 | − | 0.318975i | ||||
\(555\) | −0.115904 | + | 0.127547i | −0.00491987 | + | 0.00541406i | ||||
\(556\) | 19.6981 | − | 6.40031i | 0.835387 | − | 0.271434i | ||||
\(557\) | 19.5079 | + | 14.1733i | 0.826575 | + | 0.600542i | 0.918588 | − | 0.395216i | \(-0.129330\pi\) |
−0.0920130 | + | 0.995758i | \(0.529330\pi\) | |||||||
\(558\) | −2.41373 | − | 25.1789i | −0.102181 | − | 1.06591i | ||||
\(559\) | 4.98427 | − | 15.3400i | 0.210812 | − | 0.648813i | ||||
\(560\) | −0.160605 | −0.00678682 | ||||||||
\(561\) | 15.2201 | − | 3.64477i | 0.642593 | − | 0.153882i | ||||
\(562\) | 13.0768 | 0.551613 | ||||||||
\(563\) | 3.90298 | − | 12.0121i | 0.164491 | − | 0.506251i | −0.834507 | − | 0.550997i | \(-0.814248\pi\) |
0.998998 | + | 0.0447455i | \(0.0142477\pi\) | |||||||
\(564\) | −4.21009 | − | 1.89758i | −0.177277 | − | 0.0799023i | ||||
\(565\) | −1.35183 | − | 0.982159i | −0.0568717 | − | 0.0413197i | ||||
\(566\) | 13.7696 | − | 4.47402i | 0.578780 | − | 0.188057i | ||||
\(567\) | 6.57700 | + | 6.14354i | 0.276208 | + | 0.258004i | ||||
\(568\) | −6.19855 | + | 8.53157i | −0.260085 | + | 0.357977i | ||||
\(569\) | −5.85782 | + | 4.25595i | −0.245572 | + | 0.178419i | −0.703762 | − | 0.710436i | \(-0.748498\pi\) |
0.458190 | + | 0.888854i | \(0.348498\pi\) | |||||||
\(570\) | −0.332971 | − | 1.60252i | −0.0139466 | − | 0.0671220i | ||||
\(571\) | − | 23.6249i | − | 0.988672i | −0.869271 | − | 0.494336i | \(-0.835411\pi\) | ||
0.869271 | − | 0.494336i | \(-0.164589\pi\) | |||||||
\(572\) | −18.3398 | − | 12.4969i | −0.766825 | − | 0.522521i | ||||
\(573\) | 22.3697 | + | 39.1581i | 0.934509 | + | 1.63585i | ||||
\(574\) | −5.22903 | − | 1.69901i | −0.218255 | − | 0.0709155i | ||||
\(575\) | 8.60647 | + | 11.8458i | 0.358915 | + | 0.494004i | ||||
\(576\) | −2.75168 | + | 1.19509i | −0.114654 | + | 0.0497953i | ||||
\(577\) | −7.52191 | − | 23.1501i | −0.313141 | − | 0.963749i | −0.976513 | − | 0.215459i | \(-0.930875\pi\) |
0.663372 | − | 0.748290i | \(-0.269125\pi\) | |||||||
\(578\) | 2.95967 | + | 9.10894i | 0.123106 | + | 0.378882i | ||||
\(579\) | 0.474138 | − | 4.32090i | 0.0197045 | − | 0.179570i | ||||
\(580\) | 0.597550 | + | 0.822457i | 0.0248119 | + | 0.0341507i | ||||
\(581\) | −13.5157 | − | 4.39153i | −0.560728 | − | 0.182191i | ||||
\(582\) | 15.5889 | − | 8.90542i | 0.646180 | − | 0.369141i | ||||
\(583\) | −8.60162 | + | 0.259669i | −0.356243 | + | 0.0107544i | ||||
\(584\) | − | 0.101684i | − | 0.00420773i | ||||||
\(585\) | −2.13528 | − | 2.41555i | −0.0882829 | − | 0.0998706i | ||||
\(586\) | 6.56633 | − | 4.77072i | 0.271253 | − | 0.197077i | ||||
\(587\) | 10.3759 | − | 14.2812i | 0.428259 | − | 0.589447i | −0.539294 | − | 0.842118i | \(-0.681309\pi\) |
0.967552 | + | 0.252670i | \(0.0813088\pi\) | |||||||
\(588\) | −1.28185 | − | 1.16484i | −0.0528626 | − | 0.0480374i | ||||
\(589\) | −47.1811 | + | 15.3301i | −1.94406 | + | 0.631664i | ||||
\(590\) | 1.87552 | + | 1.36264i | 0.0772138 | + | 0.0560991i | ||||
\(591\) | −5.08561 | + | 11.2833i | −0.209194 | + | 0.464132i | ||||
\(592\) | 0.191450 | − | 0.589221i | 0.00786853 | − | 0.0242169i | ||||
\(593\) | 22.6256 | 0.929122 | 0.464561 | − | 0.885541i | \(-0.346212\pi\) | ||||
0.464561 | + | 0.885541i | \(0.346212\pi\) | |||||||
\(594\) | −5.59449 | − | 16.3004i | −0.229545 | − | 0.668812i | ||||
\(595\) | −0.437552 | −0.0179379 | ||||||||
\(596\) | 0.923115 | − | 2.84105i | 0.0378123 | − | 0.116374i | ||||
\(597\) | −9.22606 | + | 20.4696i | −0.377598 | + | 0.837764i | ||||
\(598\) | −15.9351 | − | 11.5776i | −0.651636 | − | 0.473442i | ||||
\(599\) | −26.5826 | + | 8.63722i | −1.08614 | + | 0.352907i | −0.796753 | − | 0.604306i | \(-0.793451\pi\) |
−0.289384 | + | 0.957213i | \(0.593451\pi\) | |||||||
\(600\) | −6.37618 | − | 5.79417i | −0.260307 | − | 0.236546i | ||||
\(601\) | −14.4751 | + | 19.9233i | −0.590453 | + | 0.812688i | −0.994793 | − | 0.101921i | \(-0.967501\pi\) |
0.404340 | + | 0.914609i | \(0.367501\pi\) | |||||||
\(602\) | −1.95012 | + | 1.41684i | −0.0794809 | + | 0.0577462i | ||||
\(603\) | −18.6513 | − | 21.0994i | −0.759539 | − | 0.859233i | ||||
\(604\) | − | 0.151418i | − | 0.00616109i | ||||||
\(605\) | −0.950310 | + | 1.48929i | −0.0386356 | + | 0.0605484i | ||||
\(606\) | 17.7937 | − | 10.1650i | 0.722820 | − | 0.412924i | ||||
\(607\) | 9.71031 | + | 3.15507i | 0.394129 | + | 0.128060i | 0.499375 | − | 0.866386i | \(-0.333563\pi\) |
−0.105246 | + | 0.994446i | \(0.533563\pi\) | |||||||
\(608\) | 3.45842 | + | 4.76011i | 0.140258 | + | 0.193048i | ||||
\(609\) | −1.19588 | + | 10.8983i | −0.0484595 | + | 0.441619i | ||||
\(610\) | 0.400842 | + | 1.23367i | 0.0162296 | + | 0.0499496i | ||||
\(611\) | 5.51301 | + | 16.9673i | 0.223032 | + | 0.686423i | ||||
\(612\) | −7.49666 | + | 3.25588i | −0.303034 | + | 0.131611i | ||||
\(613\) | −19.0272 | − | 26.1887i | −0.768501 | − | 1.05775i | −0.996459 | − | 0.0840800i | \(-0.973205\pi\) |
0.227958 | − | 0.973671i | \(-0.426795\pi\) | |||||||
\(614\) | 19.9581 | + | 6.48477i | 0.805442 | + | 0.261704i | ||||
\(615\) | 0.758659 | + | 1.32803i | 0.0305921 | + | 0.0535513i | ||||
\(616\) | 1.11961 | + | 3.12194i | 0.0451102 | + | 0.125786i | ||||
\(617\) | − | 1.78277i | − | 0.0717717i | −0.999356 | − | 0.0358859i | \(-0.988575\pi\) | ||
0.999356 | − | 0.0358859i | \(-0.0114253\pi\) | |||||||
\(618\) | −0.383918 | − | 1.84771i | −0.0154435 | − | 0.0743260i | ||||
\(619\) | −8.02668 | + | 5.83173i | −0.322620 | + | 0.234397i | −0.737292 | − | 0.675574i | \(-0.763896\pi\) |
0.414673 | + | 0.909971i | \(0.363896\pi\) | |||||||
\(620\) | 0.795941 | − | 1.09552i | 0.0319658 | − | 0.0439971i | ||||
\(621\) | −4.52651 | − | 14.6104i | −0.181643 | − | 0.586295i | ||||
\(622\) | −7.20997 | + | 2.34266i | −0.289094 | + | 0.0939322i | ||||
\(623\) | −12.2162 | − | 8.87556i | −0.489430 | − | 0.355592i | ||||
\(624\) | 10.5661 | + | 4.76238i | 0.422984 | + | 0.190648i | ||||
\(625\) | 7.60607 | − | 23.4091i | 0.304243 | − | 0.936363i | ||||
\(626\) | 0.657982 | 0.0262982 | ||||||||
\(627\) | −28.8294 | + | 17.6439i | −1.15133 | + | 0.704628i | ||||
\(628\) | −1.77875 | −0.0709798 | ||||||||
\(629\) | 0.521583 | − | 1.60527i | 0.0207969 | − | 0.0640062i | ||||
\(630\) | 0.0459777 | + | 0.479618i | 0.00183179 | + | 0.0191084i | ||||
\(631\) | −37.9689 | − | 27.5860i | −1.51152 | − | 1.09818i | −0.965498 | − | 0.260411i | \(-0.916142\pi\) |
−0.546021 | − | 0.837771i | \(-0.683858\pi\) | |||||||
\(632\) | −8.72301 | + | 2.83428i | −0.346983 | + | 0.112742i | ||||
\(633\) | 26.9330 | − | 29.6384i | 1.07049 | − | 1.17802i | ||||
\(634\) | −10.0718 | + | 13.8626i | −0.400002 | + | 0.550555i | ||||
\(635\) | −1.77195 | + | 1.28740i | −0.0703177 | + | 0.0510888i | ||||
\(636\) | 4.40012 | − | 0.914257i | 0.174476 | − | 0.0362526i | ||||
\(637\) | 6.69138i | 0.265122i | ||||||||
\(638\) | 11.8217 | − | 17.3490i | 0.468027 | − | 0.686853i | ||||
\(639\) | 27.2524 | + | 16.0684i | 1.07809 | + | 0.635656i | ||||
\(640\) | −0.152745 | − | 0.0496298i | −0.00603777 | − | 0.00196179i | ||||
\(641\) | −24.6324 | − | 33.9036i | −0.972920 | − | 1.33911i | −0.940558 | − | 0.339634i | \(-0.889697\pi\) |
−0.0323623 | − | 0.999476i | \(-0.510303\pi\) | |||||||
\(642\) | 14.3701 | + | 1.57685i | 0.567143 | + | 0.0622334i | ||||
\(643\) | −3.48769 | − | 10.7340i | −0.137541 | − | 0.423308i | 0.858435 | − | 0.512922i | \(-0.171437\pi\) |
−0.995977 | + | 0.0896133i | \(0.971437\pi\) | |||||||
\(644\) | 0.909630 | + | 2.79955i | 0.0358445 | + | 0.110318i | ||||
\(645\) | 0.666538 | + | 0.0731401i | 0.0262449 | + | 0.00287989i | ||||
\(646\) | 9.42209 | + | 12.9684i | 0.370707 | + | 0.510235i | ||||
\(647\) | 28.7627 | + | 9.34555i | 1.13078 | + | 0.367412i | 0.813871 | − | 0.581046i | \(-0.197356\pi\) |
0.316905 | + | 0.948457i | \(0.397356\pi\) | |||||||
\(648\) | 4.35664 | + | 7.87526i | 0.171145 | + | 0.309369i | ||||
\(649\) | 13.4133 | − | 45.9565i | 0.526517 | − | 1.80395i | ||||
\(650\) | 33.2843i | 1.30552i | ||||||||
\(651\) | 14.2983 | − | 2.97090i | 0.560394 | − | 0.116439i | ||||
\(652\) | −13.9082 | + | 10.1049i | −0.544688 | + | 0.395739i | ||||
\(653\) | 5.11472 | − | 7.03980i | 0.200154 | − | 0.275489i | −0.697127 | − | 0.716947i | \(-0.745539\pi\) |
0.897282 | + | 0.441459i | \(0.145539\pi\) | |||||||
\(654\) | 0.891636 | − | 0.981199i | 0.0348657 | − | 0.0383679i | ||||
\(655\) | 1.14135 | − | 0.370846i | 0.0445961 | − | 0.0144901i | ||||
\(656\) | −4.44808 | − | 3.23172i | −0.173668 | − | 0.126177i | ||||
\(657\) | −0.303661 | + | 0.0291099i | −0.0118470 | + | 0.00113569i | ||||
\(658\) | 0.823897 | − | 2.53569i | 0.0321188 | − | 0.0988516i | ||||
\(659\) | −1.04851 | −0.0408442 | −0.0204221 | − | 0.999791i | \(-0.506501\pi\) | ||||
−0.0204221 | + | 0.999791i | \(0.506501\pi\) | |||||||
\(660\) | 0.353557 | − | 0.852176i | 0.0137622 | − | 0.0331709i | ||||
\(661\) | −37.7527 | −1.46841 | −0.734206 | − | 0.678927i | \(-0.762445\pi\) | ||||
−0.734206 | + | 0.678927i | \(0.762445\pi\) | |||||||
\(662\) | −3.58853 | + | 11.0444i | −0.139472 | + | 0.429251i | ||||
\(663\) | 28.7863 | + | 12.9746i | 1.11797 | + | 0.503891i | ||||
\(664\) | −11.4972 | − | 8.35319i | −0.446177 | − | 0.324167i | ||||
\(665\) | 0.898724 | − | 0.292013i | 0.0348510 | − | 0.0113238i | ||||
\(666\) | −1.81441 | − | 0.403047i | −0.0703068 | − | 0.0156178i | ||||
\(667\) | 10.9521 | − | 15.0742i | 0.424066 | − | 0.583677i | ||||
\(668\) | −16.8406 | + | 12.2354i | −0.651581 | + | 0.473402i | ||||
\(669\) | 2.68020 | + | 12.8992i | 0.103623 | + | 0.498712i | ||||
\(670\) | − | 1.50761i | − | 0.0582442i | ||||||
\(671\) | 21.1863 | − | 16.3919i | 0.817889 | − | 0.632801i | ||||
\(672\) | −0.859155 | − | 1.50395i | −0.0331426 | − | 0.0580160i | ||||
\(673\) | −34.2404 | − | 11.1254i | −1.31987 | − | 0.428851i | −0.437419 | − | 0.899258i | \(-0.644107\pi\) |
−0.882450 | + | 0.470407i | \(0.844107\pi\) | |||||||
\(674\) | 10.2525 | + | 14.1114i | 0.394913 | + | 0.543552i | ||||
\(675\) | −15.4778 | + | 20.7000i | −0.595742 | + | 0.796743i | ||||
\(676\) | −9.81888 | − | 30.2194i | −0.377649 | − | 1.16228i | ||||
\(677\) | 8.43360 | + | 25.9559i | 0.324129 | + | 0.997568i | 0.971832 | + | 0.235675i | \(0.0757299\pi\) |
−0.647703 | + | 0.761893i | \(0.724270\pi\) | |||||||
\(678\) | 1.96560 | − | 17.9128i | 0.0754884 | − | 0.687938i | ||||
\(679\) | 6.09258 | + | 8.38572i | 0.233812 | + | 0.321814i | ||||
\(680\) | −0.416136 | − | 0.135211i | −0.0159581 | − | 0.00518510i | ||||
\(681\) | 35.8135 | − | 20.4591i | 1.37238 | − | 0.783993i | ||||
\(682\) | −26.8439 | − | 7.83489i | −1.02791 | − | 0.300013i | ||||
\(683\) | − | 45.1710i | − | 1.72842i | −0.503131 | − | 0.864210i | \(-0.667819\pi\) | ||
0.503131 | − | 0.864210i | \(-0.332181\pi\) | |||||||
\(684\) | 13.2251 | − | 11.6906i | 0.505674 | − | 0.447003i | ||||
\(685\) | 0.567232 | − | 0.412118i | 0.0216728 | − | 0.0157462i | ||||
\(686\) | 0.587785 | − | 0.809017i | 0.0224417 | − | 0.0308884i | ||||
\(687\) | −17.6668 | − | 16.0542i | −0.674031 | − | 0.612507i | ||||
\(688\) | −2.29250 | + | 0.744879i | −0.0874008 | + | 0.0283982i | ||||
\(689\) | −14.0461 | − | 10.2051i | −0.535113 | − | 0.388782i | ||||
\(690\) | 0.336474 | − | 0.746524i | 0.0128093 | − | 0.0284197i | ||||
\(691\) | 3.47116 | − | 10.6831i | 0.132049 | − | 0.406406i | −0.863070 | − | 0.505084i | \(-0.831462\pi\) |
0.995119 | + | 0.0986784i | \(0.0314615\pi\) | |||||||
\(692\) | 18.5325 | 0.704499 | ||||||||
\(693\) | 9.00255 | − | 4.23723i | 0.341979 | − | 0.160959i | ||||
\(694\) | −12.0266 | −0.456525 | ||||||||
\(695\) | 1.02793 | − | 3.16363i | 0.0389914 | − | 0.120003i | ||||
\(696\) | −4.50509 | + | 9.99531i | −0.170765 | + | 0.378871i | ||||
\(697\) | −12.1183 | − | 8.80445i | −0.459013 | − | 0.333492i | ||||
\(698\) | −9.67472 | + | 3.14351i | −0.366194 | + | 0.118983i | ||||
\(699\) | 1.33586 | + | 1.21392i | 0.0505269 | + | 0.0459148i | ||||
\(700\) | 2.92376 | − | 4.02422i | 0.110508 | − | 0.152101i | ||||
\(701\) | 24.7251 | − | 17.9638i | 0.933852 | − | 0.678483i | −0.0130806 | − | 0.999914i | \(-0.504164\pi\) |
0.946933 | + | 0.321431i | \(0.104164\pi\) | |||||||
\(702\) | 11.1971 | − | 32.9171i | 0.422607 | − | 1.24238i | ||||
\(703\) | 3.64529i | 0.137485i | ||||||||
\(704\) | 0.100078 | + | 3.31511i | 0.00377183 | + | 0.124943i | ||||
\(705\) | −0.643996 | + | 0.367894i | −0.0242543 | + | 0.0138557i | ||||
\(706\) | −8.93383 | − | 2.90278i | −0.336229 | − | 0.109247i | ||||
\(707\) | 6.95430 | + | 9.57177i | 0.261543 | + | 0.359983i | ||||
\(708\) | −2.72706 | + | 24.8522i | −0.102489 | + | 0.934003i | ||||
\(709\) | −3.50974 | − | 10.8019i | −0.131811 | − | 0.405673i | 0.863269 | − | 0.504744i | \(-0.168413\pi\) |
−0.995080 | + | 0.0990706i | \(0.968413\pi\) | |||||||
\(710\) | 0.523376 | + | 1.61079i | 0.0196420 | + | 0.0604517i | ||||
\(711\) | 10.9612 | + | 25.2382i | 0.411078 | + | 0.946507i | ||||
\(712\) | −8.87556 | − | 12.2162i | −0.332626 | − | 0.457820i | ||||
\(713\) | −23.6043 | − | 7.66949i | −0.883987 | − | 0.287225i | ||||
\(714\) | −2.34067 | − | 4.09733i | −0.0875974 | − | 0.153339i | ||||
\(715\) | −3.35506 | + | 1.20321i | −0.125472 | + | 0.0449975i | ||||
\(716\) | − | 18.2934i | − | 0.683656i | ||||||
\(717\) | −7.51642 | − | 36.1748i | −0.280706 | − | 1.35097i | ||||
\(718\) | −17.8080 | + | 12.9382i | −0.664587 | + | 0.482851i | ||||
\(719\) | 9.17659 | − | 12.6305i | 0.342229 | − | 0.471038i | −0.602862 | − | 0.797846i | \(-0.705973\pi\) |
0.945091 | + | 0.326808i | \(0.105973\pi\) | |||||||
\(720\) | −0.104483 | + | 0.470351i | −0.00389384 | + | 0.0175290i | ||||
\(721\) | 1.03624 | − | 0.336693i | 0.0385914 | − | 0.0125391i | ||||
\(722\) | −12.6363 | − | 9.18083i | −0.470276 | − | 0.341675i | ||||
\(723\) | 19.3089 | + | 8.70294i | 0.718107 | + | 0.323666i | ||||
\(724\) | 0.221317 | − | 0.681143i | 0.00822517 | − | 0.0253145i | ||||
\(725\) | −31.4861 | −1.16936 | ||||||||
\(726\) | −19.0298 | − | 0.931978i | −0.706260 | − | 0.0345889i | ||||
\(727\) | −43.2823 | −1.60525 | −0.802626 | − | 0.596483i | \(-0.796564\pi\) | ||||
−0.802626 | + | 0.596483i | \(0.796564\pi\) | |||||||
\(728\) | −2.06775 | + | 6.36388i | −0.0766359 | + | 0.235861i | ||||
\(729\) | 22.2707 | − | 15.2648i | 0.824843 | − | 0.565363i | ||||
\(730\) | −0.0132121 | − | 0.00959917i | −0.000489003 | − | 0.000355281i | ||||
\(731\) | −6.24566 | + | 2.02934i | −0.231004 | + | 0.0750578i | ||||
\(732\) | −9.40802 | + | 10.3530i | −0.347731 | + | 0.382659i | ||||
\(733\) | −7.76379 | + | 10.6859i | −0.286762 | + | 0.394694i | −0.927959 | − | 0.372682i | \(-0.878438\pi\) |
0.641197 | + | 0.767376i | \(0.278438\pi\) | |||||||
\(734\) | −13.6048 | + | 9.88448i | −0.502163 | + | 0.364843i | ||||
\(735\) | −0.272360 | + | 0.0565910i | −0.0100461 | + | 0.00208739i | ||||
\(736\) | 2.94363i | 0.108503i | ||||||||
\(737\) | −29.3058 | + | 10.5098i | −1.07949 | + | 0.387134i | ||||
\(738\) | −8.37753 | + | 14.2085i | −0.308381 | + | 0.523022i | ||||
\(739\) | −16.8990 | − | 5.49083i | −0.621641 | − | 0.201983i | −0.0187721 | − | 0.999824i | \(-0.505976\pi\) |
−0.602869 | + | 0.797840i | \(0.705976\pi\) | |||||||
\(740\) | −0.0584859 | − | 0.0804989i | −0.00214998 | − | 0.00295920i | ||||
\(741\) | −67.7855 | − | 7.43819i | −2.49016 | − | 0.273249i | ||||
\(742\) | 0.801796 | + | 2.46767i | 0.0294349 | + | 0.0905912i | ||||
\(743\) | 6.86362 | + | 21.1240i | 0.251802 | + | 0.774966i | 0.994443 | + | 0.105277i | \(0.0335728\pi\) |
−0.742641 | + | 0.669689i | \(0.766427\pi\) | |||||||
\(744\) | 14.5165 | + | 1.59292i | 0.532202 | + | 0.0583993i | ||||
\(745\) | −0.282002 | − | 0.388143i | −0.0103318 | − | 0.0142204i | ||||
\(746\) | 11.0418 | + | 3.58770i | 0.404269 | + | 0.131355i | ||||
\(747\) | −21.6538 | + | 36.7255i | −0.792272 | + | 1.34371i | ||||
\(748\) | 0.272651 | + | 9.03166i | 0.00996911 | + | 0.330230i | ||||
\(749\) | 8.34639i | 0.304970i | ||||||||
\(750\) | −2.71657 | + | 0.564450i | −0.0991952 | + | 0.0206108i | ||||
\(751\) | −5.60877 | + | 4.07501i | −0.204667 | + | 0.148699i | −0.685397 | − | 0.728169i | \(-0.740371\pi\) |
0.480731 | + | 0.876868i | \(0.340371\pi\) | |||||||
\(752\) | 1.56714 | − | 2.15699i | 0.0571479 | − | 0.0786573i | ||||
\(753\) | 0.864665 | − | 0.951518i | 0.0315101 | − | 0.0346753i | ||||
\(754\) | 40.2826 | − | 13.0886i | 1.46700 | − | 0.476659i | ||||
\(755\) | −0.0196741 | − | 0.0142941i | −0.000716013 | − | 0.000520214i | ||||
\(756\) | −4.24529 | + | 2.99625i | −0.154400 | + | 0.108972i | ||||
\(757\) | −10.4463 | + | 32.1505i | −0.379678 | + | 1.16853i | 0.560590 | + | 0.828094i | \(0.310575\pi\) |
−0.940268 | + | 0.340436i | \(0.889425\pi\) | |||||||
\(758\) | −16.2733 | −0.591073 | ||||||||
\(759\) | −16.8569 | − | 1.33642i | −0.611868 | − | 0.0485091i | ||||
\(760\) | 0.944974 | 0.0342778 | ||||||||
\(761\) | −5.92539 | + | 18.2365i | −0.214795 | + | 0.661072i | 0.784373 | + | 0.620290i | \(0.212985\pi\) |
−0.999168 | + | 0.0407823i | \(0.987015\pi\) | |||||||
\(762\) | −21.5345 | − | 9.70605i | −0.780112 | − | 0.351613i | ||||
\(763\) | 0.619267 | + | 0.449924i | 0.0224190 | + | 0.0162883i | ||||
\(764\) | −24.7626 | + | 8.04585i | −0.895878 | + | 0.291088i | ||||
\(765\) | −0.284651 | + | 1.28142i | −0.0102916 | + | 0.0463298i | ||||
\(766\) | −8.82714 | + | 12.1495i | −0.318937 | + | 0.438980i | ||||
\(767\) | 78.1406 | − | 56.7724i | 2.82149 | − | 2.04993i | ||||
\(768\) | −0.352360 | − | 1.69583i | −0.0127147 | − | 0.0611930i | ||||
\(769\) | − | 4.54196i | − | 0.163787i | −0.996641 | − | 0.0818936i | \(-0.973903\pi\) | ||
0.996641 | − | 0.0818936i | \(-0.0260968\pi\) | |||||||
\(770\) | 0.511334 | + | 0.149242i | 0.0184272 | + | 0.00537831i | ||||
\(771\) | −2.55272 | − | 4.46851i | −0.0919338 | − | 0.160930i | ||||
\(772\) | 2.38681 | + | 0.775523i | 0.0859033 | + | 0.0279117i | ||||
\(773\) | −9.80576 | − | 13.4965i | −0.352689 | − | 0.485434i | 0.595405 | − | 0.803426i | \(-0.296992\pi\) |
−0.948094 | + | 0.317992i | \(0.896992\pi\) | |||||||
\(774\) | 2.88073 | + | 6.63288i | 0.103546 | + | 0.238414i | ||||
\(775\) | 12.9601 | + | 39.8870i | 0.465540 | + | 1.43278i | ||||
\(776\) | 3.20306 | + | 9.85801i | 0.114983 | + | 0.353882i | ||||
\(777\) | 0.117048 | − | 1.06668i | 0.00419908 | − | 0.0382669i | ||||
\(778\) | −1.76075 | − | 2.42346i | −0.0631259 | − | 0.0868854i | ||||
\(779\) | 30.7667 | + | 9.99670i | 1.10233 | + | 0.358169i | ||||
\(780\) | 1.61625 | − | 0.923310i | 0.0578710 | − | 0.0330598i | ||||
\(781\) | 27.6628 | − | 21.4027i | 0.989853 | − | 0.765850i | ||||
\(782\) | 8.01958i | 0.286780i | ||||||||
\(783\) | 31.1388 | + | 10.5922i | 1.11281 | + | 0.378534i | ||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | −0.167917 | + | 0.231117i | −0.00599320 | + | 0.00824893i | ||||
\(786\) | 9.57828 | + | 8.70399i | 0.341646 | + | 0.310461i | ||||
\(787\) | 20.5616 | − | 6.68088i | 0.732944 | − | 0.238148i | 0.0813176 | − | 0.996688i | \(-0.474087\pi\) |
0.651626 | + | 0.758540i | \(0.274087\pi\) | |||||||
\(788\) | −5.78085 | − | 4.20003i | −0.205934 | − | 0.149620i | ||||
\(789\) | −1.54086 | + | 3.41865i | −0.0548560 | + | 0.121707i | ||||
\(790\) | −0.455201 | + | 1.40096i | −0.0161953 | + | 0.0498440i | ||||
\(791\) | 10.4041 | 0.369926 | ||||||||
\(792\) | 9.87131 | − | 1.24791i | 0.350762 | − | 0.0443424i | ||||
\(793\) | 54.0439 | 1.91915 | ||||||||
\(794\) | −2.50679 | + | 7.71510i | −0.0889626 | + | 0.273799i | ||||
\(795\) | 0.296586 | − | 0.658025i | 0.0105188 | − | 0.0233378i | ||||
\(796\) | −10.4873 | − | 7.61950i | −0.371714 | − | 0.270066i | ||||
\(797\) | −12.1477 | + | 3.94703i | −0.430294 | + | 0.139811i | −0.516153 | − | 0.856496i | \(-0.672637\pi\) |
0.0858590 | + | 0.996307i | \(0.472637\pi\) | |||||||
\(798\) | 7.54218 | + | 6.85373i | 0.266990 | + | 0.242620i | ||||
\(799\) | 4.26951 | − | 5.87648i | 0.151044 | − | 0.207895i | ||||
\(800\) | 4.02422 | − | 2.92376i | 0.142278 | − | 0.103371i | ||||
\(801\) | −33.9404 | + | 30.0024i | −1.19922 | + | 1.06008i | ||||
\(802\) | − | 32.4353i | − | 1.14533i | ||||||
\(803\) | −0.0944900 | + | 0.323742i | −0.00333448 | + | 0.0114246i | ||||
\(804\) | 14.1176 | − | 8.06495i | 0.497891 | − | 0.284429i | ||||
\(805\) | 0.449624 | + | 0.146092i | 0.0158472 | + | 0.00514905i | ||||
\(806\) | −33.1617 | − | 45.6431i | −1.16807 | − | 1.60771i | ||||
\(807\) | −0.269876 | + | 2.45943i | −0.00950009 | + | 0.0865759i | ||||
\(808\) | 3.65609 | + | 11.2523i | 0.128621 | + | 0.395854i | ||||
\(809\) | −9.22491 | − | 28.3913i | −0.324330 | − | 0.998187i | −0.971742 | − | 0.236046i | \(-0.924148\pi\) |
0.647411 | − | 0.762141i | \(-0.275852\pi\) | |||||||
\(810\) | 1.43453 | + | 0.177367i | 0.0504041 | + | 0.00623203i | ||||
\(811\) | 20.0631 | + | 27.6144i | 0.704509 | + | 0.969674i | 0.999898 | + | 0.0142968i | \(0.00455097\pi\) |
−0.295388 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(812\) | −6.02007 | − | 1.95604i | −0.211263 | − | 0.0686435i | ||||
\(813\) | 11.7631 | + | 20.5912i | 0.412550 | + | 0.722167i | ||||
\(814\) | −1.15707 | + | 1.69805i | −0.0405552 | + | 0.0595167i | ||||
\(815\) | 2.76105i | 0.0967154i | ||||||||
\(816\) | −0.959966 | − | 4.62010i | −0.0336055 | − | 0.161736i | ||||
\(817\) | 11.4741 | − | 8.33645i | 0.401430 | − | 0.291656i | ||||
\(818\) | −14.8712 | + | 20.4684i | −0.519959 | + | 0.715662i | ||||
\(819\) | 19.5965 | + | 4.35311i | 0.684756 | + | 0.152110i | ||||
\(820\) | −0.839811 | + | 0.272871i | −0.0293275 | + | 0.00952907i | ||||
\(821\) | −21.7460 | − | 15.7994i | −0.758939 | − | 0.551402i | 0.139645 | − | 0.990202i | \(-0.455404\pi\) |
−0.898585 | + | 0.438800i | \(0.855404\pi\) | |||||||
\(822\) | 6.89356 | + | 3.10707i | 0.240440 | + | 0.108372i | ||||
\(823\) | −15.5036 | + | 47.7152i | −0.540422 | + | 1.66325i | 0.191211 | + | 0.981549i | \(0.438758\pi\) |
−0.731633 | + | 0.681699i | \(0.761242\pi\) | |||||||
\(824\) | 1.08956 | 0.0379567 | ||||||||
\(825\) | 14.9162 | + | 24.3725i | 0.519315 | + | 0.848540i | ||||
\(826\) | −14.4345 | −0.502242 | ||||||||
\(827\) | −6.73474 | + | 20.7274i | −0.234190 | + | 0.720762i | 0.763038 | + | 0.646354i | \(0.223707\pi\) |
−0.997228 | + | 0.0744087i | \(0.976293\pi\) | |||||||
\(828\) | 8.79058 | − | 0.842693i | 0.305494 | − | 0.0292856i | ||||
\(829\) | −18.6834 | − | 13.5743i | −0.648900 | − | 0.471453i | 0.213996 | − | 0.976834i | \(-0.431352\pi\) |
−0.862896 | + | 0.505381i | \(0.831352\pi\) | |||||||
\(830\) | −2.17070 | + | 0.705304i | −0.0753462 | + | 0.0244815i | ||||
\(831\) | 10.8099 | − | 11.8957i | 0.374991 | − | 0.412658i | ||||
\(832\) | −3.93309 | + | 5.41344i | −0.136356 | + | 0.187677i | ||||
\(833\) | 2.20408 | − | 1.60136i | 0.0763667 | − | 0.0554837i | ||||
\(834\) | 35.1238 | − | 7.29803i | 1.21624 | − | 0.252710i | ||||
\(835\) | 3.34318i | 0.115695i | ||||||||
\(836\) | −6.58757 | − | 18.3689i | −0.227836 | − | 0.635302i | ||||
\(837\) | 0.601195 | − | 43.8069i | 0.0207804 | − | 1.51419i | ||||
\(838\) | 3.75515 | + | 1.22012i | 0.129719 | + | 0.0421484i | ||||
\(839\) | 5.16175 | + | 7.10453i | 0.178203 | + | 0.245276i | 0.888769 | − | 0.458355i | \(-0.151561\pi\) |
−0.710566 | + | 0.703630i | \(0.751561\pi\) | |||||||
\(840\) | −0.276517 | − | 0.0303426i | −0.00954074 | − | 0.00104692i | ||||
\(841\) | 3.42000 | + | 10.5257i | 0.117931 | + | 0.362954i | ||||
\(842\) | −8.18453 | − | 25.1894i | −0.282057 | − | 0.868083i | ||||
\(843\) | 22.5146 | + | 2.47056i | 0.775444 | + | 0.0850905i | ||||
\(844\) | 13.5905 | + | 18.7057i | 0.467805 | + | 0.643878i | ||||
\(845\) | −4.85340 | − | 1.57697i | −0.166962 | − | 0.0542493i | ||||
\(846\) | −6.89008 | − | 4.06248i | −0.236886 | − | 0.139671i | ||||
\(847\) | −0.663539 | − | 10.9800i | −0.0227995 | − | 0.377276i | ||||
\(848\) | 2.59467i | 0.0891012i | ||||||||
\(849\) | 24.5526 | − | 5.10155i | 0.842645 | − | 0.175085i | ||||
\(850\) | 10.9635 | − | 7.96547i | 0.376046 | − | 0.273213i | ||||
\(851\) | −1.07195 | + | 1.47541i | −0.0367459 | + | 0.0505764i | ||||
\(852\) | −12.2840 | + | 13.5179i | −0.420842 | + | 0.463115i | ||||
\(853\) | −1.26560 | + | 0.411219i | −0.0433334 | + | 0.0140799i | −0.330603 | − | 0.943770i | \(-0.607252\pi\) |
0.287270 | + | 0.957850i | \(0.407252\pi\) | |||||||
\(854\) | −6.53414 | − | 4.74733i | −0.223594 | − | 0.162450i | ||||
\(855\) | −0.270525 | − | 2.82199i | −0.00925174 | − | 0.0965099i | ||||
\(856\) | −2.57918 | + | 7.93789i | −0.0881544 | + | 0.271311i | ||||
\(857\) | 8.79463 | 0.300419 | 0.150209 | − | 0.988654i | \(-0.452005\pi\) | ||||
0.150209 | + | 0.988654i | \(0.452005\pi\) | |||||||
\(858\) | −29.2149 | − | 24.9810i | −0.997381 | − | 0.852836i | ||||
\(859\) | −19.7514 | −0.673911 | −0.336955 | − | 0.941521i | \(-0.609397\pi\) | ||||
−0.336955 | + | 0.941521i | \(0.609397\pi\) | |||||||
\(860\) | −0.119632 | + | 0.368188i | −0.00407940 | + | 0.0125551i | ||||
\(861\) | −8.68191 | − | 3.91312i | −0.295879 | − | 0.133359i | ||||
\(862\) | −29.8337 | − | 21.6755i | −1.01614 | − | 0.738269i | ||||
\(863\) | −22.2608 | + | 7.23297i | −0.757766 | + | 0.246213i | −0.662320 | − | 0.749221i | \(-0.730428\pi\) |
−0.0954465 | + | 0.995435i | \(0.530428\pi\) | |||||||
\(864\) | −4.96340 | + | 1.53773i | −0.168858 | + | 0.0523148i | ||||
\(865\) | 1.74949 | − | 2.40797i | 0.0594846 | − | 0.0818735i | ||||
\(866\) | 17.7907 | − | 12.9257i | 0.604552 | − | 0.439233i | ||||
\(867\) | 3.37480 | + | 16.2422i | 0.114614 | + | 0.551613i | ||||
\(868\) | 8.43144i | 0.286182i | ||||||||
\(869\) | 30.4059 | − | 0.917906i | 1.03145 | − | 0.0311378i | ||||
\(870\) | 0.873428 | + | 1.52893i | 0.0296120 | + | 0.0518356i | ||||
\(871\) | −59.7382 | − | 19.4101i | −2.02415 | − | 0.657687i | ||||
\(872\) | 0.449924 | + | 0.619267i | 0.0152363 | + | 0.0209710i | ||||
\(873\) | 28.5221 | − | 12.3875i | 0.965327 | − | 0.419252i | ||||
\(874\) | −5.35210 | − | 16.4721i | −0.181038 | − | 0.557176i | ||||
\(875\) | −0.495018 | − | 1.52351i | −0.0167347 | − | 0.0515040i | ||||
\(876\) | 0.0192109 | − | 0.175072i | 0.000649075 | − | 0.00591513i | ||||
\(877\) | 16.8980 | + | 23.2581i | 0.570606 | + | 0.785372i | 0.992626 | − | 0.121215i | \(-0.0386789\pi\) |
−0.422020 | + | 0.906586i | \(0.638679\pi\) | |||||||
\(878\) | 0.939056 | + | 0.305118i | 0.0316916 | + | 0.0102972i | ||||
\(879\) | 12.2067 | − | 6.97327i | 0.411721 | − | 0.235203i | ||||
\(880\) | 0.440189 | + | 0.299949i | 0.0148388 | + | 0.0101113i | ||||
\(881\) | 40.1934i | 1.35415i | 0.735915 | + | 0.677074i | \(0.236752\pi\) | ||||
−0.735915 | + | 0.677074i | \(0.763248\pi\) | |||||||
\(882\) | −1.98691 | − | 2.24771i | −0.0669028 | − | 0.0756842i | ||||
\(883\) | 8.15600 | − | 5.92568i | 0.274471 | − | 0.199415i | −0.442031 | − | 0.897000i | \(-0.645742\pi\) |
0.716502 | + | 0.697585i | \(0.245742\pi\) | |||||||
\(884\) | −10.7153 | + | 14.7483i | −0.360394 | + | 0.496039i | ||||
\(885\) | 2.97167 | + | 2.70042i | 0.0998916 | + | 0.0907736i | ||||
\(886\) | 8.77053 | − | 2.84972i | 0.294652 | − | 0.0957382i | ||||
\(887\) | 43.7299 | + | 31.7717i | 1.46831 | + | 1.06679i | 0.981100 | + | 0.193501i | \(0.0619843\pi\) |
0.487207 | + | 0.873286i | \(0.338016\pi\) | |||||||
\(888\) | 0.440941 | − | 0.978302i | 0.0147970 | − | 0.0328297i | ||||
\(889\) | 4.21421 | − | 12.9700i | 0.141340 | − | 0.435000i | ||||
\(890\) | −2.42514 | −0.0812910 | ||||||||
\(891\) | −6.55256 | − | 29.1215i | −0.219519 | − | 0.975608i | ||||
\(892\) | −7.60643 | −0.254682 | ||||||||
\(893\) | −4.84766 | + | 14.9196i | −0.162221 | + | 0.499264i | ||||
\(894\) | 2.12609 | − | 4.71709i | 0.0711071 | − | 0.157763i | ||||
\(895\) | −2.37691 | − | 1.72692i | −0.0794512 | − | 0.0577247i | ||||
\(896\) | 0.951057 | − | 0.309017i | 0.0317726 | − | 0.0103235i | ||||
\(897\) | −25.2485 | − | 22.9438i | −0.843022 | − | 0.766072i | ||||
\(898\) | 17.6805 | − | 24.3351i | 0.590005 | − | 0.812072i | ||||
\(899\) | 43.1772 | − | 31.3701i | 1.44004 | − | 1.04625i | ||||
\(900\) | −9.88331 | − | 11.1806i | −0.329444 | − | 0.372685i | ||||
\(901\) | 7.06888i | 0.235498i | ||||||||
\(902\) | 11.1587 | + | 14.4225i | 0.371543 | + | 0.480215i | ||||
\(903\) | −3.62523 | + | 2.07097i | −0.120640 | + | 0.0689177i | ||||
\(904\) | 9.89485 | + | 3.21503i | 0.329098 | + | 0.106930i | ||||
\(905\) | −0.0676100 | − | 0.0930572i | −0.00224743 | − | 0.00309332i | ||||
\(906\) | 0.0286067 | − | 0.260698i | 0.000950396 | − | 0.00866111i | ||||
\(907\) | −3.39484 | − | 10.4482i | −0.112724 | − | 0.346928i | 0.878742 | − | 0.477298i | \(-0.158384\pi\) |
−0.991465 | + | 0.130370i | \(0.958384\pi\) | |||||||
\(908\) | 7.35862 | + | 22.6475i | 0.244205 | + | 0.751584i | ||||
\(909\) | 32.5562 | − | 14.1395i | 1.07982 | − | 0.468977i | ||||
\(910\) | 0.631676 | + | 0.869428i | 0.0209399 | + | 0.0288213i | ||||
\(911\) | −3.17983 | − | 1.03319i | −0.105353 | − | 0.0342311i | 0.255866 | − | 0.966712i | \(-0.417639\pi\) |
−0.361219 | + | 0.932481i | \(0.617639\pi\) | |||||||
\(912\) | 5.05511 | + | 8.84895i | 0.167392 | + | 0.293018i | ||||
\(913\) | 28.8424 | + | 37.2785i | 0.954544 | + | 1.23374i | ||||
\(914\) | − | 13.6979i | − | 0.453085i | ||||||
\(915\) | 0.457065 | + | 2.19975i | 0.0151101 | + | 0.0727215i | ||||
\(916\) | 11.1501 | − | 8.10103i | 0.368410 | − | 0.267665i | ||||
\(917\) | −4.39207 | + | 6.04517i | −0.145039 | + | 0.199629i | ||||
\(918\) | −13.5222 | + | 4.18938i | −0.446300 | + | 0.138270i | ||||
\(919\) | −31.5660 | + | 10.2564i | −1.04127 | + | 0.338328i | −0.779235 | − | 0.626732i | \(-0.784392\pi\) |
−0.262030 | + | 0.965060i | \(0.584392\pi\) | |||||||
\(920\) | 0.382473 | + | 0.277883i | 0.0126098 | + | 0.00916152i | ||||
\(921\) | 33.1370 | + | 14.9355i | 1.09190 | + | 0.492142i | ||||
\(922\) | 0.619903 | − | 1.90787i | 0.0204154 | − | 0.0628322i | ||||
\(923\) | 70.5646 | 2.32266 | ||||||||
\(924\) | 1.33783 | + | 5.58661i | 0.0440113 | + | 0.183786i | ||||
\(925\) | 3.08174 | 0.101327 | ||||||||
\(926\) | 6.94788 | − | 21.3834i | 0.228322 | − | 0.702702i | ||||
\(927\) | −0.311917 | − | 3.25377i | −0.0102447 | − | 0.106868i | ||||
\(928\) | −5.12098 | − | 3.72061i | −0.168104 | − | 0.122135i | ||||
\(929\) | −26.2935 | + | 8.54327i | −0.862662 | + | 0.280296i | −0.706740 | − | 0.707474i | \(-0.749835\pi\) |
−0.155922 | + | 0.987769i | \(0.549835\pi\) | |||||||
\(930\) | 1.57736 | − | 1.73580i | 0.0517236 | − | 0.0569191i | ||||
\(931\) | −3.45842 | + | 4.76011i | −0.113345 | + | 0.156006i | ||||
\(932\) | −0.843104 | + | 0.612551i | −0.0276168 | + | 0.0200648i | ||||
\(933\) | −12.8561 | + | 2.67125i | −0.420890 | + | 0.0874527i | ||||
\(934\) | 15.5570i | 0.509041i | ||||||||
\(935\) | 1.19925 | + | 0.817176i | 0.0392195 | + | 0.0267245i | ||||
\(936\) | 17.2922 | + | 10.1957i | 0.565212 | + | 0.333257i | ||||
\(937\) | 18.3228 | + | 5.95344i | 0.598580 | + | 0.194490i | 0.592607 | − | 0.805492i | \(-0.298099\pi\) |
0.00597291 | + | 0.999982i | \(0.498099\pi\) | |||||||
\(938\) | 5.51758 | + | 7.59430i | 0.180155 | + | 0.247963i | ||||
\(939\) | 1.13286 | + | 0.124310i | 0.0369694 | + | 0.00405670i | ||||
\(940\) | −0.132322 | − | 0.407246i | −0.00431588 | − | 0.0132829i | ||||
\(941\) | 12.7583 | + | 39.2661i | 0.415910 | + | 1.28004i | 0.911435 | + | 0.411445i | \(0.134976\pi\) |
−0.495525 | + | 0.868594i | \(0.665024\pi\) | |||||||
\(942\) | −3.06250 | − | 0.336052i | −0.0997816 | − | 0.0109492i | ||||
\(943\) | 9.51297 | + | 13.0935i | 0.309785 | + | 0.426382i | ||||
\(944\) | −13.7281 | − | 4.46052i | −0.446811 | − | 0.145178i | ||||
\(945\) | −0.0114518 | + | 0.834452i | −0.000372527 | + | 0.0271447i | ||||
\(946\) | 7.99101 | − | 0.241235i | 0.259810 | − | 0.00784324i | ||||
\(947\) | 8.56801i | 0.278423i | 0.990263 | + | 0.139211i | \(0.0444568\pi\) | ||||
−0.990263 | + | 0.139211i | \(0.955543\pi\) | |||||||
\(948\) | −15.5540 | + | 3.23182i | −0.505171 | + | 0.104965i | ||||
\(949\) | −0.550463 | + | 0.399935i | −0.0178688 | + | 0.0129824i | ||||
\(950\) | −17.2029 | + | 23.6778i | −0.558136 | + | 0.768209i | ||||
\(951\) | −19.9598 | + | 21.9647i | −0.647240 | + | 0.712254i | ||||
\(952\) | 2.59105 | − | 0.841882i | 0.0839763 | − | 0.0272856i | ||||
\(953\) | −23.6082 | − | 17.1523i | −0.764744 | − | 0.555619i | 0.135618 | − | 0.990761i | \(-0.456698\pi\) |
−0.900362 | + | 0.435142i | \(0.856698\pi\) | |||||||
\(954\) | 7.74848 | − | 0.742794i | 0.250866 | − | 0.0240488i | ||||
\(955\) | −1.29221 | + | 3.97700i | −0.0418148 | + | 0.128693i | ||||
\(956\) | 21.3316 | 0.689914 | ||||||||
\(957\) | 23.6314 | − | 27.6366i | 0.763894 | − | 0.893364i | ||||
\(958\) | 24.7841 | 0.800738 | ||||||||
\(959\) | −1.34904 | + | 4.15192i | −0.0435628 | + | 0.134072i | ||||
\(960\) | −0.253607 | − | 0.114306i | −0.00818513 | − | 0.00368921i | ||||
\(961\) | −32.4328 | − | 23.5638i | −1.04622 | − | 0.760124i | ||||
\(962\) | −3.94270 | + | 1.28106i | −0.127118 | + | 0.0413031i | ||||
\(963\) | 24.4434 | + | 5.42978i | 0.787676 | + | 0.174972i | ||||
\(964\) | −7.18747 | + | 9.89270i | −0.231493 | + | 0.318623i | ||||
\(965\) | 0.326085 | − | 0.236914i | 0.0104970 | − | 0.00762654i | ||||
\(966\) | 1.03722 | + | 4.99189i | 0.0333719 | + | 0.160611i | ||||
\(967\) | 32.6733i | 1.05070i | 0.850886 | + | 0.525351i | \(0.176066\pi\) | ||||
−0.850886 | + | 0.525351i | \(0.823934\pi\) | |||||||
\(968\) | 2.76193 | − | 10.6476i | 0.0887719 | − | 0.342227i | ||||
\(969\) | 13.7721 | + | 24.1080i | 0.442423 | + | 0.774460i | ||||
\(970\) | 1.58325 | + | 0.514429i | 0.0508351 | + | 0.0165173i | ||||
\(971\) | −16.0175 | − | 22.0462i | −0.514027 | − | 0.707497i | 0.470565 | − | 0.882365i | \(-0.344050\pi\) |
−0.984592 | + | 0.174868i | \(0.944050\pi\) | |||||||
\(972\) | 6.01306 | + | 14.3820i | 0.192869 | + | 0.461304i | ||||
\(973\) | 6.40031 | + | 19.6981i | 0.205185 | + | 0.631493i | ||||
\(974\) | 7.22107 | + | 22.2242i | 0.231378 | + | 0.712108i | ||||
\(975\) | −6.28828 | + | 57.3061i | −0.201386 | + | 1.83526i | ||||
\(976\) | −4.74733 | − | 6.53414i | −0.151958 | − | 0.209153i | ||||
\(977\) | 34.2685 | + | 11.1345i | 1.09635 | + | 0.356224i | 0.800695 | − | 0.599072i | \(-0.204464\pi\) |
0.295651 | + | 0.955296i | \(0.404464\pi\) | |||||||
\(978\) | −25.8551 | + | 14.7702i | −0.826755 | + | 0.472298i | ||||
\(979\) | 16.9061 | + | 47.1413i | 0.540320 | + | 1.50664i | ||||
\(980\) | − | 0.160605i | − | 0.00513035i | ||||||
\(981\) | 1.72052 | − | 1.52089i | 0.0549319 | − | 0.0485584i | ||||
\(982\) | 11.4997 | − | 8.35505i | 0.366971 | − | 0.266620i | ||||
\(983\) | −28.8851 | + | 39.7569i | −0.921292 | + | 1.26805i | 0.0418690 | + | 0.999123i | \(0.486669\pi\) |
−0.963161 | + | 0.268926i | \(0.913331\pi\) | |||||||
\(984\) | −7.04777 | − | 6.40446i | −0.224675 | − | 0.204167i | ||||
\(985\) | −1.09144 | + | 0.354631i | −0.0347762 | + | 0.0112995i | ||||
\(986\) | −13.9515 | − | 10.1364i | −0.444307 | − | 0.322808i | ||||
\(987\) | 1.89758 | − | 4.21009i | 0.0604005 | − | 0.134009i | ||||
\(988\) | 12.1663 | − | 37.4439i | 0.387061 | − | 1.19125i | ||||
\(989\) | 7.09554 | 0.225625 | ||||||||
\(990\) | 0.769723 | − | 1.40041i | 0.0244634 | − | 0.0445079i | ||||
\(991\) | 14.6512 | 0.465409 | 0.232705 | − | 0.972547i | \(-0.425242\pi\) | ||||
0.232705 | + | 0.972547i | \(0.425242\pi\) | |||||||
\(992\) | −2.60546 | + | 8.01878i | −0.0827234 | + | 0.254596i | ||||
\(993\) | −8.26500 | + | 18.3373i | −0.262282 | + | 0.581916i | ||||
\(994\) | −8.53157 | − | 6.19855i | −0.270605 | − | 0.196606i | ||||
\(995\) | −1.98004 | + | 0.643355i | −0.0627716 | + | 0.0203957i | ||||
\(996\) | −18.2167 | − | 16.5539i | −0.577220 | − | 0.524532i | ||||
\(997\) | 28.5607 | − | 39.3105i | 0.904528 | − | 1.24498i | −0.0644734 | − | 0.997919i | \(-0.520537\pi\) |
0.969001 | − | 0.247056i | \(-0.0794632\pi\) | |||||||
\(998\) | −31.5546 | + | 22.9258i | −0.998843 | + | 0.725702i | ||||
\(999\) | −3.04774 | − | 1.03672i | −0.0964264 | − | 0.0328004i |
(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 | 462.2.w.b.365.7 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.a.365.1 | yes | 48 | ||
11.6 | odd | 10 | 462.2.w.a.281.1 | ✓ | 48 | ||
33.17 | even | 10 | inner | 462.2.w.b.281.7 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.1 | ✓ | 48 | 11.6 | odd | 10 | ||
462.2.w.a.365.1 | yes | 48 | 3.2 | odd | 2 | ||
462.2.w.b.281.7 | yes | 48 | 33.17 | even | 10 | inner | |
462.2.w.b.365.7 | yes | 48 | 1.1 | even | 1 | trivial |