Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 251.6 | ||
Character | \(\chi\) | \(=\) | 690.251 |
Dual form | 690.2.q.a.11.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | + | 0.841254i | −0.382291 | + | 0.594856i | ||||
\(3\) | 1.20125 | − | 1.24780i | 0.693540 | − | 0.720418i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | 0.400274 | + | 1.68516i | 0.163411 | + | 0.687966i | ||||
\(7\) | −1.03609 | − | 0.897775i | −0.391605 | − | 0.339327i | 0.436698 | − | 0.899608i | \(-0.356148\pi\) |
−0.828303 | + | 0.560281i | \(0.810693\pi\) | |||||||
\(8\) | 0.989821 | + | 0.142315i | 0.349955 | + | 0.0503159i | ||||
\(9\) | −0.114014 | − | 2.99783i | −0.0380046 | − | 0.999278i | ||||
\(10\) | 0.755750 | − | 0.654861i | 0.238989 | − | 0.207085i | ||||
\(11\) | 0.339703 | − | 0.218314i | 0.102424 | − | 0.0658241i | −0.488426 | − | 0.872605i | \(-0.662429\pi\) |
0.590850 | + | 0.806781i | \(0.298792\pi\) | |||||||
\(12\) | −1.63406 | − | 0.574337i | −0.471711 | − | 0.165797i | ||||
\(13\) | −4.17553 | − | 4.81882i | −1.15808 | − | 1.33650i | −0.932028 | − | 0.362385i | \(-0.881963\pi\) |
−0.226055 | − | 0.974115i | \(-0.572583\pi\) | |||||||
\(14\) | 1.31541 | − | 0.386239i | 0.351558 | − | 0.103227i | ||||
\(15\) | −1.50413 | + | 0.858826i | −0.388366 | + | 0.221748i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −2.37786 | + | 5.20678i | −0.576715 | + | 1.26283i | 0.366429 | + | 0.930446i | \(0.380580\pi\) |
−0.943144 | + | 0.332384i | \(0.892147\pi\) | |||||||
\(18\) | 2.58358 | + | 1.52484i | 0.608955 | + | 0.359407i | ||||
\(19\) | −7.48553 | + | 3.41853i | −1.71730 | + | 0.784264i | −0.721528 | + | 0.692385i | \(0.756560\pi\) |
−0.995770 | + | 0.0918787i | \(0.970713\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | −2.36484 | + | 0.214382i | −0.516051 | + | 0.0467820i | ||||
\(22\) | 0.403806i | 0.0860917i | ||||||||
\(23\) | 2.16418 | − | 4.27976i | 0.451263 | − | 0.892391i | ||||
\(24\) | 1.36660 | − | 1.06414i | 0.278956 | − | 0.217218i | ||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | 6.31131 | − | 0.907429i | 1.23775 | − | 0.177962i | ||||
\(27\) | −3.87766 | − | 3.45887i | −0.746255 | − | 0.665660i | ||||
\(28\) | −0.386239 | + | 1.31541i | −0.0729923 | + | 0.248589i | ||||
\(29\) | 3.60769 | + | 1.64758i | 0.669931 | + | 0.305947i | 0.721189 | − | 0.692738i | \(-0.243596\pi\) |
−0.0512583 | + | 0.998685i | \(0.516323\pi\) | |||||||
\(30\) | 0.0907058 | − | 1.72967i | 0.0165605 | − | 0.315794i | ||||
\(31\) | 0.0831939 | − | 0.578626i | 0.0149421 | − | 0.103924i | −0.980986 | − | 0.194081i | \(-0.937828\pi\) |
0.995928 | + | 0.0901564i | \(0.0287367\pi\) | |||||||
\(32\) | −0.281733 | − | 0.959493i | −0.0498038 | − | 0.169616i | ||||
\(33\) | 0.135655 | − | 0.686131i | 0.0236145 | − | 0.119440i | ||||
\(34\) | −3.09466 | − | 4.81538i | −0.530729 | − | 0.825830i | ||||
\(35\) | 0.741187 | + | 1.15331i | 0.125283 | + | 0.194945i | ||||
\(36\) | −2.67956 | + | 1.34906i | −0.446594 | + | 0.224843i | ||||
\(37\) | 0.143089 | + | 0.487316i | 0.0235236 | + | 0.0801142i | 0.970418 | − | 0.241430i | \(-0.0776164\pi\) |
−0.946895 | + | 0.321544i | \(0.895798\pi\) | |||||||
\(38\) | 1.17114 | − | 8.14542i | 0.189983 | − | 1.32136i | ||||
\(39\) | −11.0288 | − | 0.578359i | −1.76602 | − | 0.0926116i | ||||
\(40\) | −0.909632 | − | 0.415415i | −0.143825 | − | 0.0656829i | ||||
\(41\) | 1.20245 | − | 4.09517i | 0.187791 | − | 0.639559i | −0.810741 | − | 0.585405i | \(-0.800936\pi\) |
0.998533 | − | 0.0541541i | \(-0.0172462\pi\) | |||||||
\(42\) | 1.09818 | − | 2.10534i | 0.169453 | − | 0.324860i | ||||
\(43\) | −1.84231 | + | 0.264885i | −0.280950 | + | 0.0403945i | −0.281349 | − | 0.959605i | \(-0.590782\pi\) |
0.000399236 | 1.00000i | \(0.499873\pi\) | ||||||||
\(44\) | −0.339703 | − | 0.218314i | −0.0512122 | − | 0.0329121i | ||||
\(45\) | −0.735192 | + | 2.90852i | −0.109596 | + | 0.433577i | ||||
\(46\) | 2.43032 | + | 4.13444i | 0.358331 | + | 0.609589i | ||||
\(47\) | − | 9.15703i | − | 1.33569i | −0.744300 | − | 0.667845i | \(-0.767217\pi\) | ||
0.744300 | − | 0.667845i | \(-0.232783\pi\) | |||||||
\(48\) | 0.156376 | + | 1.72498i | 0.0225709 | + | 0.248979i | ||||
\(49\) | −0.728726 | − | 5.06840i | −0.104104 | − | 0.724057i | ||||
\(50\) | −0.909632 | + | 0.415415i | −0.128641 | + | 0.0587486i | ||||
\(51\) | 3.64063 | + | 9.22172i | 0.509790 | + | 1.29130i | ||||
\(52\) | −2.64877 | + | 5.80000i | −0.367319 | + | 0.804316i | ||||
\(53\) | −2.93753 | + | 3.39009i | −0.403501 | + | 0.465665i | −0.920740 | − | 0.390176i | \(-0.872414\pi\) |
0.517239 | + | 0.855841i | \(0.326960\pi\) | |||||||
\(54\) | 5.00621 | − | 1.39209i | 0.681258 | − | 0.189439i | ||||
\(55\) | −0.387449 | + | 0.113765i | −0.0522436 | + | 0.0153401i | ||||
\(56\) | −0.897775 | − | 1.03609i | −0.119970 | − | 0.138453i | ||||
\(57\) | −4.72633 | + | 13.4469i | −0.626017 | + | 1.78109i | ||||
\(58\) | −3.33649 | + | 2.14423i | −0.438103 | + | 0.281552i | ||||
\(59\) | −0.376830 | + | 0.326525i | −0.0490591 | + | 0.0425099i | −0.679045 | − | 0.734096i | \(-0.737606\pi\) |
0.629986 | + | 0.776606i | \(0.283061\pi\) | |||||||
\(60\) | 1.40606 | + | 1.01144i | 0.181521 | + | 0.130576i | ||||
\(61\) | −5.55432 | − | 0.798591i | −0.711158 | − | 0.102249i | −0.222764 | − | 0.974872i | \(-0.571508\pi\) |
−0.488394 | + | 0.872623i | \(0.662417\pi\) | |||||||
\(62\) | 0.441794 | + | 0.382816i | 0.0561078 | + | 0.0486177i | ||||
\(63\) | −2.57325 | + | 3.20838i | −0.324199 | + | 0.404218i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | 2.64877 | + | 5.80000i | 0.328540 | + | 0.719402i | ||||
\(66\) | 0.503869 | + | 0.485070i | 0.0620220 | + | 0.0597080i | ||||
\(67\) | 1.46086 | − | 2.27314i | 0.178472 | − | 0.277708i | −0.740479 | − | 0.672080i | \(-0.765401\pi\) |
0.918951 | + | 0.394371i | \(0.129038\pi\) | |||||||
\(68\) | 5.72405 | 0.694143 | ||||||||
\(69\) | −2.74057 | − | 7.84151i | −0.329926 | − | 0.944007i | ||||
\(70\) | −1.37094 | −0.163859 | ||||||||
\(71\) | −2.81276 | + | 4.37673i | −0.333813 | + | 0.519423i | −0.967067 | − | 0.254521i | \(-0.918082\pi\) |
0.633255 | + | 0.773944i | \(0.281719\pi\) | |||||||
\(72\) | 0.313783 | − | 2.98354i | 0.0369797 | − | 0.351614i | ||||
\(73\) | −4.54208 | − | 9.94576i | −0.531610 | − | 1.16406i | −0.964854 | − | 0.262787i | \(-0.915358\pi\) |
0.433244 | − | 0.901277i | \(-0.357369\pi\) | |||||||
\(74\) | −0.487316 | − | 0.143089i | −0.0566493 | − | 0.0166337i | ||||
\(75\) | 1.68516 | − | 0.400274i | 0.194586 | − | 0.0462197i | ||||
\(76\) | 6.21920 | + | 5.38897i | 0.713391 | + | 0.618157i | ||||
\(77\) | −0.547959 | − | 0.0787847i | −0.0624458 | − | 0.00897834i | ||||
\(78\) | 6.44915 | − | 8.96530i | 0.730222 | − | 1.01512i | ||||
\(79\) | 8.40212 | − | 7.28048i | 0.945313 | − | 0.819118i | −0.0383271 | − | 0.999265i | \(-0.512203\pi\) |
0.983640 | + | 0.180147i | \(0.0576574\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | −8.97400 | + | 0.683588i | −0.997111 | + | 0.0759542i | ||||
\(82\) | 2.79499 | + | 3.22559i | 0.308655 | + | 0.356206i | ||||
\(83\) | 10.4602 | − | 3.07139i | 1.14815 | − | 0.337129i | 0.348336 | − | 0.937370i | \(-0.386747\pi\) |
0.799819 | + | 0.600241i | \(0.204929\pi\) | |||||||
\(84\) | 1.17740 | + | 2.06208i | 0.128465 | + | 0.224991i | ||||
\(85\) | 3.74846 | − | 4.32595i | 0.406577 | − | 0.469215i | ||||
\(86\) | 0.773195 | − | 1.69306i | 0.0833757 | − | 0.182567i | ||||
\(87\) | 6.38957 | − | 2.52253i | 0.685034 | − | 0.270444i | ||||
\(88\) | 0.367315 | − | 0.167747i | 0.0391559 | − | 0.0178819i | ||||
\(89\) | −0.413934 | − | 2.87897i | −0.0438769 | − | 0.305171i | −0.999928 | − | 0.0119716i | \(-0.996189\pi\) |
0.956051 | − | 0.293199i | \(-0.0947199\pi\) | |||||||
\(90\) | −2.04933 | − | 2.19095i | −0.216018 | − | 0.230946i | ||||
\(91\) | 8.74141i | 0.916349i | ||||||||
\(92\) | −4.79204 | − | 0.190732i | −0.499604 | − | 0.0198852i | ||||
\(93\) | −0.622074 | − | 0.798882i | −0.0645061 | − | 0.0828403i | ||||
\(94\) | 7.70338 | + | 4.95066i | 0.794543 | + | 0.510622i | ||||
\(95\) | 8.14542 | − | 1.17114i | 0.835703 | − | 0.120156i | ||||
\(96\) | −1.53569 | − | 0.801041i | −0.156735 | − | 0.0817560i | ||||
\(97\) | 5.21815 | − | 17.7714i | 0.529822 | − | 1.80441i | −0.0616669 | − | 0.998097i | \(-0.519642\pi\) |
0.591489 | − | 0.806313i | \(-0.298540\pi\) | |||||||
\(98\) | 4.65779 | + | 2.12714i | 0.470508 | + | 0.214874i | ||||
\(99\) | −0.693199 | − | 0.993482i | −0.0696692 | − | 0.0998487i | ||||
\(100\) | 0.142315 | − | 0.989821i | 0.0142315 | − | 0.0989821i | ||||
\(101\) | 3.61987 | + | 12.3282i | 0.360191 | + | 1.22670i | 0.917950 | + | 0.396695i | \(0.129843\pi\) |
−0.557760 | + | 0.830003i | \(0.688339\pi\) | |||||||
\(102\) | −9.72608 | − | 1.92294i | −0.963025 | − | 0.190400i | ||||
\(103\) | −0.0748719 | − | 0.116503i | −0.00737734 | − | 0.0114794i | 0.837545 | − | 0.546368i | \(-0.183990\pi\) |
−0.844923 | + | 0.534889i | \(0.820354\pi\) | |||||||
\(104\) | −3.44724 | − | 5.36401i | −0.338030 | − | 0.525984i | ||||
\(105\) | 2.32945 | + | 0.460555i | 0.227331 | + | 0.0449456i | ||||
\(106\) | −1.26378 | − | 4.30403i | −0.122749 | − | 0.418044i | ||||
\(107\) | −0.764728 | + | 5.31880i | −0.0739291 | + | 0.514188i | 0.918885 | + | 0.394525i | \(0.129091\pi\) |
−0.992814 | + | 0.119664i | \(0.961818\pi\) | |||||||
\(108\) | −1.53546 | + | 4.96411i | −0.147750 | + | 0.477671i | ||||
\(109\) | 8.11507 | + | 3.70603i | 0.777283 | + | 0.354973i | 0.764232 | − | 0.644942i | \(-0.223118\pi\) |
0.0130511 | + | 0.999915i | \(0.495846\pi\) | |||||||
\(110\) | 0.113765 | − | 0.387449i | 0.0108471 | − | 0.0369418i | ||||
\(111\) | 0.779958 | + | 0.406840i | 0.0740303 | + | 0.0386155i | ||||
\(112\) | 1.35699 | − | 0.195105i | 0.128223 | − | 0.0184357i | ||||
\(113\) | 1.64447 | + | 1.05684i | 0.154699 | + | 0.0994189i | 0.615700 | − | 0.787981i | \(-0.288873\pi\) |
−0.461001 | + | 0.887399i | \(0.652510\pi\) | |||||||
\(114\) | −8.75704 | − | 11.2460i | −0.820172 | − | 1.05328i | ||||
\(115\) | −3.28226 | + | 3.49668i | −0.306073 | + | 0.326067i | ||||
\(116\) | − | 3.96610i | − | 0.368243i | ||||||
\(117\) | −13.9699 | + | 13.0670i | −1.29152 | + | 1.20804i | ||||
\(118\) | −0.0709607 | − | 0.493542i | −0.00653246 | − | 0.0454342i | ||||
\(119\) | 7.13819 | − | 3.25990i | 0.654357 | − | 0.298835i | ||||
\(120\) | −1.61105 | + | 0.636024i | −0.147068 | + | 0.0580608i | ||||
\(121\) | −4.50183 | + | 9.85763i | −0.409257 | + | 0.896148i | ||||
\(122\) | 3.67471 | − | 4.24084i | 0.332693 | − | 0.383948i | ||||
\(123\) | −3.66552 | − | 6.41973i | −0.330509 | − | 0.578848i | ||||
\(124\) | −0.560897 | + | 0.164694i | −0.0503701 | + | 0.0147900i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | −1.30785 | − | 3.89934i | −0.116513 | − | 0.347381i | ||||
\(127\) | 13.2936 | − | 8.54326i | 1.17961 | − | 0.758091i | 0.204298 | − | 0.978909i | \(-0.434509\pi\) |
0.975315 | + | 0.220817i | \(0.0708725\pi\) | |||||||
\(128\) | −0.755750 | + | 0.654861i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | −1.88255 | + | 2.61703i | −0.165749 | + | 0.230417i | ||||
\(130\) | −6.31131 | − | 0.907429i | −0.553538 | − | 0.0795868i | ||||
\(131\) | 10.5952 | + | 9.18077i | 0.925704 | + | 0.802127i | 0.980530 | − | 0.196369i | \(-0.0629149\pi\) |
−0.0548259 | + | 0.998496i | \(0.517460\pi\) | |||||||
\(132\) | −0.680480 | + | 0.161633i | −0.0592281 | + | 0.0140683i | ||||
\(133\) | 10.8247 | + | 3.17843i | 0.938624 | + | 0.275605i | ||||
\(134\) | 1.12249 | + | 2.45790i | 0.0969682 | + | 0.212331i | ||||
\(135\) | 2.74611 | + | 4.41122i | 0.236347 | + | 0.379658i | ||||
\(136\) | −3.09466 | + | 4.81538i | −0.265365 | + | 0.412915i | ||||
\(137\) | −18.5500 | −1.58483 | −0.792415 | − | 0.609982i | \(-0.791177\pi\) | ||||
−0.792415 | + | 0.609982i | \(0.791177\pi\) | |||||||
\(138\) | 8.07836 | + | 1.93393i | 0.687676 | + | 0.164627i | ||||
\(139\) | 12.7611 | 1.08238 | 0.541191 | − | 0.840899i | \(-0.317973\pi\) | ||||
0.541191 | + | 0.840899i | \(0.317973\pi\) | |||||||
\(140\) | 0.741187 | − | 1.15331i | 0.0626417 | − | 0.0974724i | ||||
\(141\) | −11.4262 | − | 10.9999i | −0.962255 | − | 0.926355i | ||||
\(142\) | −2.16125 | − | 4.73248i | −0.181368 | − | 0.397141i | ||||
\(143\) | −2.47046 | − | 0.725391i | −0.206590 | − | 0.0606603i | ||||
\(144\) | 2.34027 | + | 1.87700i | 0.195023 | + | 0.156416i | ||||
\(145\) | −2.99737 | − | 2.59724i | −0.248918 | − | 0.215689i | ||||
\(146\) | 10.8225 | + | 1.55605i | 0.895680 | + | 0.128779i | ||||
\(147\) | −7.19973 | − | 5.17909i | −0.593824 | − | 0.427164i | ||||
\(148\) | 0.383837 | − | 0.332596i | 0.0315512 | − | 0.0273392i | ||||
\(149\) | 2.03122 | − | 1.30539i | 0.166404 | − | 0.106941i | −0.454788 | − | 0.890600i | \(-0.650285\pi\) |
0.621192 | + | 0.783658i | \(0.286649\pi\) | |||||||
\(150\) | −0.574337 | + | 1.63406i | −0.0468944 | + | 0.133420i | ||||
\(151\) | 0.821694 | + | 0.948286i | 0.0668685 | + | 0.0771704i | 0.788198 | − | 0.615421i | \(-0.211014\pi\) |
−0.721330 | + | 0.692592i | \(0.756469\pi\) | |||||||
\(152\) | −7.89584 | + | 2.31843i | −0.640438 | + | 0.188049i | ||||
\(153\) | 15.8802 | + | 6.53477i | 1.28384 | + | 0.528305i | ||||
\(154\) | 0.362527 | − | 0.418378i | 0.0292133 | − | 0.0337139i | ||||
\(155\) | −0.242842 | + | 0.531750i | −0.0195055 | + | 0.0427112i | ||||
\(156\) | 4.05542 | + | 10.2724i | 0.324694 | + | 0.822448i | ||||
\(157\) | 18.4276 | − | 8.41562i | 1.47068 | − | 0.671639i | 0.490813 | − | 0.871265i | \(-0.336700\pi\) |
0.979872 | + | 0.199626i | \(0.0639726\pi\) | |||||||
\(158\) | 1.58220 | + | 11.0044i | 0.125873 | + | 0.875466i | ||||
\(159\) | 0.701460 | + | 7.73779i | 0.0556294 | + | 0.613647i | ||||
\(160\) | 1.00000i | 0.0790569i | ||||||||
\(161\) | −6.08454 | + | 2.49126i | −0.479529 | + | 0.196339i | ||||
\(162\) | 4.27664 | − | 7.91899i | 0.336005 | − | 0.622174i | ||||
\(163\) | −11.9210 | − | 7.66117i | −0.933726 | − | 0.600069i | −0.0171170 | − | 0.999853i | \(-0.505449\pi\) |
−0.916609 | + | 0.399784i | \(0.869085\pi\) | |||||||
\(164\) | −4.22462 | + | 0.607408i | −0.329887 | + | 0.0474306i | ||||
\(165\) | −0.323465 | + | 0.620119i | −0.0251817 | + | 0.0482762i | ||||
\(166\) | −3.07139 | + | 10.4602i | −0.238386 | + | 0.811868i | ||||
\(167\) | 11.7086 | + | 5.34714i | 0.906040 | + | 0.413774i | 0.813252 | − | 0.581911i | \(-0.197695\pi\) |
0.0927876 | + | 0.995686i | \(0.470422\pi\) | |||||||
\(168\) | −2.37128 | − | 0.124352i | −0.182948 | − | 0.00959399i | ||||
\(169\) | −3.93587 | + | 27.3746i | −0.302759 | + | 2.10574i | ||||
\(170\) | 1.61265 | + | 5.49219i | 0.123685 | + | 0.421231i | ||||
\(171\) | 11.1016 | + | 22.0506i | 0.848962 | + | 1.68625i | ||||
\(172\) | 1.00627 | + | 1.56579i | 0.0767276 | + | 0.119390i | ||||
\(173\) | −10.1607 | − | 15.8104i | −0.772504 | − | 1.20204i | −0.974880 | − | 0.222732i | \(-0.928502\pi\) |
0.202375 | − | 0.979308i | \(-0.435134\pi\) | |||||||
\(174\) | −1.33237 | + | 6.73903i | −0.101007 | + | 0.510885i | ||||
\(175\) | −0.386239 | − | 1.31541i | −0.0291969 | − | 0.0994355i | ||||
\(176\) | −0.0574676 | + | 0.399696i | −0.00433178 | + | 0.0301282i | ||||
\(177\) | −0.0452275 | + | 0.862446i | −0.00339951 | + | 0.0648254i | ||||
\(178\) | 2.64574 | + | 1.20827i | 0.198306 | + | 0.0905635i | ||||
\(179\) | −5.48870 | + | 18.6928i | −0.410244 | + | 1.39716i | 0.452609 | + | 0.891709i | \(0.350493\pi\) |
−0.862853 | + | 0.505455i | \(0.831325\pi\) | |||||||
\(180\) | 2.95109 | − | 0.539489i | 0.219962 | − | 0.0402112i | ||||
\(181\) | 10.9455 | − | 1.57373i | 0.813574 | − | 0.116974i | 0.277046 | − | 0.960857i | \(-0.410645\pi\) |
0.536528 | + | 0.843882i | \(0.319736\pi\) | |||||||
\(182\) | −7.35374 | − | 4.72596i | −0.545096 | − | 0.350312i | ||||
\(183\) | −7.66859 | + | 5.97138i | −0.566879 | + | 0.441417i | ||||
\(184\) | 2.75123 | − | 3.92820i | 0.202823 | − | 0.289591i | ||||
\(185\) | − | 0.507889i | − | 0.0373407i | ||||||
\(186\) | 1.00838 | − | 0.0914136i | 0.0739381 | − | 0.00670277i | ||||
\(187\) | 0.328947 | + | 2.28788i | 0.0240550 | + | 0.167306i | ||||
\(188\) | −8.32953 | + | 3.80397i | −0.607493 | + | 0.277433i | ||||
\(189\) | 0.912306 | + | 7.06496i | 0.0663605 | + | 0.513900i | ||||
\(190\) | −3.41853 | + | 7.48553i | −0.248006 | + | 0.543057i | ||||
\(191\) | −5.31393 | + | 6.13261i | −0.384503 | + | 0.443740i | −0.914699 | − | 0.404135i | \(-0.867573\pi\) |
0.530197 | + | 0.847875i | \(0.322118\pi\) | |||||||
\(192\) | 1.50413 | − | 0.858826i | 0.108551 | − | 0.0619804i | ||||
\(193\) | −19.2594 | + | 5.65508i | −1.38633 | + | 0.407062i | −0.887966 | − | 0.459909i | \(-0.847882\pi\) |
−0.498359 | + | 0.866971i | \(0.666064\pi\) | |||||||
\(194\) | 12.1291 | + | 13.9977i | 0.870818 | + | 1.00498i | ||||
\(195\) | 10.4191 | + | 3.66209i | 0.746126 | + | 0.262248i | ||||
\(196\) | −4.30766 | + | 2.76836i | −0.307690 | + | 0.197740i | ||||
\(197\) | 12.4468 | − | 10.7852i | 0.886799 | − | 0.768415i | −0.0869091 | − | 0.996216i | \(-0.527699\pi\) |
0.973708 | + | 0.227801i | \(0.0731535\pi\) | |||||||
\(198\) | 1.21054 | − | 0.0460394i | 0.0860295 | − | 0.00327188i | ||||
\(199\) | −17.1194 | − | 2.46140i | −1.21356 | − | 0.174484i | −0.494344 | − | 0.869266i | \(-0.664592\pi\) |
−0.719220 | + | 0.694782i | \(0.755501\pi\) | |||||||
\(200\) | 0.755750 | + | 0.654861i | 0.0534396 | + | 0.0463056i | ||||
\(201\) | −1.08158 | − | 4.55346i | −0.0762884 | − | 0.321176i | ||||
\(202\) | −12.3282 | − | 3.61987i | −0.867406 | − | 0.254693i | ||||
\(203\) | −2.25873 | − | 4.94593i | −0.158532 | − | 0.347136i | ||||
\(204\) | 6.87600 | − | 7.14247i | 0.481416 | − | 0.500073i | ||||
\(205\) | −2.30749 | + | 3.59052i | −0.161162 | + | 0.250773i | ||||
\(206\) | 0.138487 | 0.00964886 | ||||||||
\(207\) | −13.0767 | − | 5.99990i | −0.908896 | − | 0.417022i | ||||
\(208\) | 6.37621 | 0.442111 | ||||||||
\(209\) | −1.79655 | + | 2.79548i | −0.124270 | + | 0.193367i | ||||
\(210\) | −1.64684 | + | 1.71066i | −0.113643 | + | 0.118047i | ||||
\(211\) | 7.81051 | + | 17.1026i | 0.537698 | + | 1.17739i | 0.962294 | + | 0.272011i | \(0.0876888\pi\) |
−0.424596 | + | 0.905383i | \(0.639584\pi\) | |||||||
\(212\) | 4.30403 | + | 1.26378i | 0.295602 | + | 0.0867966i | ||||
\(213\) | 2.08248 | + | 8.76730i | 0.142689 | + | 0.600725i | ||||
\(214\) | −4.06102 | − | 3.51889i | −0.277606 | − | 0.240547i | ||||
\(215\) | 1.84231 | + | 0.264885i | 0.125645 | + | 0.0180650i | ||||
\(216\) | −3.34594 | − | 3.97551i | −0.227662 | − | 0.270499i | ||||
\(217\) | −0.605673 | + | 0.524819i | −0.0411158 | + | 0.0356270i | ||||
\(218\) | −7.50505 | + | 4.82320i | −0.508306 | + | 0.326669i | ||||
\(219\) | −17.8665 | − | 6.27970i | −1.20730 | − | 0.424343i | ||||
\(220\) | 0.264437 | + | 0.305176i | 0.0178283 | + | 0.0205750i | ||||
\(221\) | 35.0193 | − | 10.2826i | 2.35566 | − | 0.691683i | ||||
\(222\) | −0.763932 | + | 0.436188i | −0.0512718 | + | 0.0292750i | ||||
\(223\) | 7.59769 | − | 8.76820i | 0.508779 | − | 0.587162i | −0.442007 | − | 0.897012i | \(-0.645733\pi\) |
0.950786 | + | 0.309850i | \(0.100279\pi\) | |||||||
\(224\) | −0.569510 | + | 1.24705i | −0.0380520 | + | 0.0833222i | ||||
\(225\) | 1.52484 | − | 2.58358i | 0.101656 | − | 0.172239i | ||||
\(226\) | −1.77814 | + | 0.812048i | −0.118280 | + | 0.0540166i | ||||
\(227\) | 0.676097 | + | 4.70236i | 0.0448741 | + | 0.312107i | 0.999880 | + | 0.0155183i | \(0.00493982\pi\) |
−0.955005 | + | 0.296588i | \(0.904151\pi\) | |||||||
\(228\) | 14.1952 | − | 1.28685i | 0.940097 | − | 0.0852234i | ||||
\(229\) | − | 0.284547i | − | 0.0188034i | −0.999956 | − | 0.00940171i | \(-0.997007\pi\) | ||
0.999956 | − | 0.00940171i | \(-0.00299270\pi\) | |||||||
\(230\) | −1.16707 | − | 4.65166i | −0.0769541 | − | 0.306721i | ||||
\(231\) | −0.756542 | + | 0.589104i | −0.0497768 | + | 0.0387602i | ||||
\(232\) | 3.33649 | + | 2.14423i | 0.219051 | + | 0.140776i | ||||
\(233\) | −16.1092 | + | 2.31616i | −1.05535 | + | 0.151736i | −0.648081 | − | 0.761572i | \(-0.724428\pi\) |
−0.407269 | + | 0.913308i | \(0.633519\pi\) | |||||||
\(234\) | −3.43990 | − | 18.8168i | −0.224873 | − | 1.23009i | ||||
\(235\) | −2.57983 | + | 8.78611i | −0.168290 | + | 0.573142i | ||||
\(236\) | 0.453558 | + | 0.207133i | 0.0295241 | + | 0.0134832i | ||||
\(237\) | 1.00843 | − | 19.2298i | 0.0655046 | − | 1.24911i | ||||
\(238\) | −1.11679 | + | 7.76746i | −0.0723909 | + | 0.503490i | ||||
\(239\) | −3.97555 | − | 13.5395i | −0.257157 | − | 0.875797i | −0.982318 | − | 0.187218i | \(-0.940053\pi\) |
0.725161 | − | 0.688579i | \(-0.241765\pi\) | |||||||
\(240\) | 0.335941 | − | 1.69916i | 0.0216849 | − | 0.109680i | ||||
\(241\) | −2.70342 | − | 4.20660i | −0.174142 | − | 0.270971i | 0.743201 | − | 0.669069i | \(-0.233307\pi\) |
−0.917343 | + | 0.398098i | \(0.869670\pi\) | |||||||
\(242\) | −5.85889 | − | 9.11661i | −0.376624 | − | 0.586038i | ||||
\(243\) | −9.92701 | + | 12.0189i | −0.636818 | + | 0.771014i | ||||
\(244\) | 1.58092 | + | 5.38414i | 0.101208 | + | 0.344684i | ||||
\(245\) | −0.728726 | + | 5.06840i | −0.0465566 | + | 0.323808i | ||||
\(246\) | 7.38236 | + | 0.387138i | 0.470682 | + | 0.0246830i | ||||
\(247\) | 47.7293 | + | 21.7972i | 3.03694 | + | 1.38693i | ||||
\(248\) | 0.164694 | − | 0.560897i | 0.0104581 | − | 0.0356170i | ||||
\(249\) | 8.73278 | − | 16.7417i | 0.553418 | − | 1.06096i | ||||
\(250\) | 0.989821 | − | 0.142315i | 0.0626018 | − | 0.00900078i | ||||
\(251\) | 6.63388 | + | 4.26334i | 0.418727 | + | 0.269099i | 0.732994 | − | 0.680235i | \(-0.238122\pi\) |
−0.314267 | + | 0.949335i | \(0.601759\pi\) | |||||||
\(252\) | 3.98741 | + | 1.00790i | 0.251183 | + | 0.0634920i | ||||
\(253\) | −0.199152 | − | 1.92632i | −0.0125206 | − | 0.121107i | ||||
\(254\) | 15.8021i | 0.991511i | ||||||||
\(255\) | −0.895103 | − | 9.87386i | −0.0560535 | − | 0.618325i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 13.4220 | − | 6.12962i | 0.837241 | − | 0.382355i | 0.0498105 | − | 0.998759i | \(-0.484138\pi\) |
0.787430 | + | 0.616404i | \(0.211411\pi\) | |||||||
\(258\) | −1.18380 | − | 2.99858i | −0.0737005 | − | 0.186683i | ||||
\(259\) | 0.289247 | − | 0.633363i | 0.0179730 | − | 0.0393553i | ||||
\(260\) | 4.17553 | − | 4.81882i | 0.258955 | − | 0.298850i | ||||
\(261\) | 4.52783 | − | 11.0031i | 0.280266 | − | 0.681074i | ||||
\(262\) | −13.4515 | + | 3.94973i | −0.831038 | + | 0.244015i | ||||
\(263\) | 19.8762 | + | 22.9383i | 1.22562 | + | 1.41444i | 0.879265 | + | 0.476333i | \(0.158034\pi\) |
0.346352 | + | 0.938105i | \(0.387420\pi\) | |||||||
\(264\) | 0.231921 | − | 0.659841i | 0.0142737 | − | 0.0406104i | ||||
\(265\) | 3.77364 | − | 2.42517i | 0.231813 | − | 0.148977i | ||||
\(266\) | −8.52616 | + | 7.38796i | −0.522772 | + | 0.452985i | ||||
\(267\) | −4.08962 | − | 2.94185i | −0.250281 | − | 0.180038i | ||||
\(268\) | −2.67458 | − | 0.384547i | −0.163376 | − | 0.0234900i | ||||
\(269\) | −18.4954 | − | 16.0263i | −1.12768 | − | 0.977143i | −0.127791 | − | 0.991801i | \(-0.540789\pi\) |
−0.999893 | + | 0.0146579i | \(0.995334\pi\) | |||||||
\(270\) | −5.19562 | − | 0.0747141i | −0.316195 | − | 0.00454696i | ||||
\(271\) | 9.00422 | + | 2.64388i | 0.546967 | + | 0.160604i | 0.543530 | − | 0.839390i | \(-0.317088\pi\) |
0.00343777 | + | 0.999994i | \(0.498906\pi\) | |||||||
\(272\) | −2.37786 | − | 5.20678i | −0.144179 | − | 0.315707i | ||||
\(273\) | 10.9075 | + | 10.5006i | 0.660154 | + | 0.635524i | ||||
\(274\) | 10.0289 | − | 15.6052i | 0.605866 | − | 0.942746i | ||||
\(275\) | 0.403806 | 0.0243504 | ||||||||
\(276\) | −5.99441 | + | 5.75039i | −0.360821 | + | 0.346133i | ||||
\(277\) | −14.7786 | −0.887960 | −0.443980 | − | 0.896037i | \(-0.646434\pi\) | ||||
−0.443980 | + | 0.896037i | \(0.646434\pi\) | |||||||
\(278\) | −6.89917 | + | 10.7353i | −0.413785 | + | 0.643862i | ||||
\(279\) | −1.74411 | − | 0.183430i | −0.104417 | − | 0.0109817i | ||||
\(280\) | 0.569510 | + | 1.24705i | 0.0340347 | + | 0.0745256i | ||||
\(281\) | −10.1480 | − | 2.97972i | −0.605379 | − | 0.177755i | −0.0353434 | − | 0.999375i | \(-0.511252\pi\) |
−0.570036 | + | 0.821620i | \(0.693071\pi\) | |||||||
\(282\) | 15.4311 | − | 3.66532i | 0.918909 | − | 0.218267i | ||||
\(283\) | −17.1110 | − | 14.8268i | −1.01715 | − | 0.881361i | −0.0241728 | − | 0.999708i | \(-0.507695\pi\) |
−0.992972 | + | 0.118346i | \(0.962241\pi\) | |||||||
\(284\) | 5.14968 | + | 0.740412i | 0.305577 | + | 0.0439354i | ||||
\(285\) | 8.32332 | − | 11.5707i | 0.493031 | − | 0.685388i | ||||
\(286\) | 1.94587 | − | 1.68610i | 0.115062 | − | 0.0997014i | ||||
\(287\) | −4.92239 | + | 3.16343i | −0.290560 | + | 0.186731i | ||||
\(288\) | −2.84428 | + | 0.953982i | −0.167601 | + | 0.0562140i | ||||
\(289\) | −10.3237 | − | 11.9142i | −0.607278 | − | 0.700836i | ||||
\(290\) | 3.80544 | − | 1.11738i | 0.223463 | − | 0.0656147i | ||||
\(291\) | −15.9069 | − | 27.8590i | −0.932476 | − | 1.63312i | ||||
\(292\) | −7.16013 | + | 8.26324i | −0.419015 | + | 0.483569i | ||||
\(293\) | 3.55717 | − | 7.78911i | 0.207812 | − | 0.455045i | −0.776812 | − | 0.629733i | \(-0.783164\pi\) |
0.984624 | + | 0.174688i | \(0.0558917\pi\) | |||||||
\(294\) | 8.24940 | − | 3.25677i | 0.481115 | − | 0.189939i | ||||
\(295\) | 0.453558 | − | 0.207133i | 0.0264072 | − | 0.0120598i | ||||
\(296\) | 0.0722801 | + | 0.502719i | 0.00420119 | + | 0.0292200i | ||||
\(297\) | −2.07237 | − | 0.328442i | −0.120251 | − | 0.0190582i | ||||
\(298\) | 2.41452i | 0.139869i | ||||||||
\(299\) | −29.6600 | + | 7.44146i | −1.71528 | + | 0.430351i | ||||
\(300\) | −1.06414 | − | 1.36660i | −0.0614384 | − | 0.0789007i | ||||
\(301\) | 2.14661 | + | 1.37954i | 0.123728 | + | 0.0795154i | ||||
\(302\) | −1.24199 | + | 0.178571i | −0.0714685 | + | 0.0102756i | ||||
\(303\) | 19.7314 | + | 10.2923i | 1.13354 | + | 0.591276i | ||||
\(304\) | 2.31843 | − | 7.89584i | 0.132971 | − | 0.452858i | ||||
\(305\) | 5.10434 | + | 2.33108i | 0.292274 | + | 0.133477i | ||||
\(306\) | −14.0829 | + | 9.82628i | −0.805064 | + | 0.561731i | ||||
\(307\) | 0.000241553 | − | 0.00168004i | 1.37862e−5 | − | 9.58849e-5i | −0.989815 | − | 0.142363i | \(-0.954530\pi\) |
0.989828 | + | 0.142267i | \(0.0454391\pi\) | |||||||
\(308\) | 0.155965 | + | 0.531170i | 0.00888696 | + | 0.0302662i | ||||
\(309\) | −0.235312 | − | 0.0465235i | −0.0133864 | − | 0.00264663i | ||||
\(310\) | −0.316046 | − | 0.491777i | −0.0179502 | − | 0.0279311i | ||||
\(311\) | −15.2226 | − | 23.6868i | −0.863194 | − | 1.34316i | −0.938243 | − | 0.345977i | \(-0.887548\pi\) |
0.0750490 | − | 0.997180i | \(-0.476089\pi\) | |||||||
\(312\) | −10.8342 | − | 2.14203i | −0.613366 | − | 0.121269i | ||||
\(313\) | −0.414295 | − | 1.41096i | −0.0234173 | − | 0.0797521i | 0.946955 | − | 0.321365i | \(-0.104142\pi\) |
−0.970373 | + | 0.241613i | \(0.922324\pi\) | |||||||
\(314\) | −2.88306 | + | 20.0521i | −0.162701 | + | 1.13161i | ||||
\(315\) | 3.37292 | − | 2.35345i | 0.190043 | − | 0.132602i | ||||
\(316\) | −10.1129 | − | 4.61842i | −0.568896 | − | 0.259806i | ||||
\(317\) | 6.98427 | − | 23.7862i | 0.392276 | − | 1.33597i | −0.492646 | − | 0.870230i | \(-0.663970\pi\) |
0.884922 | − | 0.465739i | \(-0.154211\pi\) | |||||||
\(318\) | −6.88868 | − | 3.59326i | −0.386298 | − | 0.201500i | ||||
\(319\) | 1.58523 | − | 0.227922i | 0.0887559 | − | 0.0127612i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | 5.71818 | + | 7.34342i | 0.319158 | + | 0.409870i | ||||
\(322\) | 1.19377 | − | 6.46552i | 0.0665264 | − | 0.360309i | ||||
\(323\) | − | 47.1043i | − | 2.62095i | ||||||
\(324\) | 4.34975 | + | 7.87907i | 0.241653 | + | 0.437726i | ||||
\(325\) | −0.907429 | − | 6.31131i | −0.0503351 | − | 0.350088i | ||||
\(326\) | 12.8900 | − | 5.88666i | 0.713910 | − | 0.326032i | ||||
\(327\) | 14.3726 | − | 5.67414i | 0.794806 | − | 0.313781i | ||||
\(328\) | 1.77302 | − | 3.88237i | 0.0978985 | − | 0.214368i | ||||
\(329\) | −8.22096 | + | 9.48749i | −0.453236 | + | 0.523062i | ||||
\(330\) | −0.346799 | − | 0.607378i | −0.0190907 | − | 0.0334351i | ||||
\(331\) | 0.0124577 | − | 0.00365790i | 0.000684735 | − | 0.000201056i | −0.281390 | − | 0.959593i | \(-0.590796\pi\) |
0.282075 | + | 0.959392i | \(0.408977\pi\) | |||||||
\(332\) | −7.13915 | − | 8.23902i | −0.391812 | − | 0.452175i | ||||
\(333\) | 1.44458 | − | 0.484517i | 0.0791623 | − | 0.0265514i | ||||
\(334\) | −10.8285 | + | 6.95903i | −0.592507 | + | 0.380781i | ||||
\(335\) | −2.04210 | + | 1.76949i | −0.111572 | + | 0.0966776i | ||||
\(336\) | 1.38662 | − | 1.92762i | 0.0756465 | − | 0.105160i | ||||
\(337\) | −19.8278 | − | 2.85081i | −1.08009 | − | 0.155293i | −0.420778 | − | 0.907164i | \(-0.638243\pi\) |
−0.659311 | + | 0.751870i | \(0.729152\pi\) | |||||||
\(338\) | −20.9011 | − | 18.1109i | −1.13687 | − | 0.985101i | ||||
\(339\) | 3.29414 | − | 0.782450i | 0.178913 | − | 0.0424969i | ||||
\(340\) | −5.49219 | − | 1.61265i | −0.297856 | − | 0.0874583i | ||||
\(341\) | −0.0980610 | − | 0.214724i | −0.00531030 | − | 0.0116279i | ||||
\(342\) | −24.5521 | − | 2.58218i | −1.32763 | − | 0.139628i | ||||
\(343\) | −8.98357 | + | 13.9787i | −0.485067 | + | 0.754779i | ||||
\(344\) | −1.86126 | −0.100352 | ||||||||
\(345\) | 0.420350 | + | 8.29598i | 0.0226309 | + | 0.446641i | ||||
\(346\) | 18.7938 | 1.01036 | ||||||||
\(347\) | −1.62527 | + | 2.52897i | −0.0872490 | + | 0.135762i | −0.882135 | − | 0.470997i | \(-0.843894\pi\) |
0.794886 | + | 0.606759i | \(0.207531\pi\) | |||||||
\(348\) | −4.94890 | − | 4.76426i | −0.265289 | − | 0.255391i | ||||
\(349\) | −5.31186 | − | 11.6314i | −0.284337 | − | 0.622612i | 0.712535 | − | 0.701636i | \(-0.247547\pi\) |
−0.996873 | + | 0.0790243i | \(0.974820\pi\) | |||||||
\(350\) | 1.31541 | + | 0.386239i | 0.0703115 | + | 0.0206453i | ||||
\(351\) | −0.476393 | + | 33.1283i | −0.0254280 | + | 1.76826i | ||||
\(352\) | −0.305176 | − | 0.264437i | −0.0162659 | − | 0.0140945i | ||||
\(353\) | −32.2167 | − | 4.63207i | −1.71472 | − | 0.246540i | −0.786242 | − | 0.617919i | \(-0.787976\pi\) |
−0.928482 | + | 0.371379i | \(0.878885\pi\) | |||||||
\(354\) | −0.701084 | − | 0.504321i | −0.0372622 | − | 0.0268044i | ||||
\(355\) | 3.93189 | − | 3.40700i | 0.208683 | − | 0.180825i | ||||
\(356\) | −2.44685 | + | 1.57250i | −0.129683 | + | 0.0833422i | ||||
\(357\) | 4.50702 | − | 12.8230i | 0.238537 | − | 0.678664i | ||||
\(358\) | −12.7580 | − | 14.7235i | −0.674279 | − | 0.778159i | ||||
\(359\) | 29.4460 | − | 8.64613i | 1.55410 | − | 0.456326i | 0.611778 | − | 0.791029i | \(-0.290454\pi\) |
0.942323 | + | 0.334704i | \(0.108636\pi\) | |||||||
\(360\) | −1.14163 | + | 2.77429i | −0.0601694 | + | 0.146218i | ||||
\(361\) | 31.9045 | − | 36.8197i | 1.67918 | − | 1.93788i | ||||
\(362\) | −4.59369 | + | 10.0588i | −0.241439 | + | 0.528677i | ||||
\(363\) | 6.89255 | + | 17.4588i | 0.361765 | + | 0.916351i | ||||
\(364\) | 7.95146 | − | 3.63131i | 0.416770 | − | 0.190332i | ||||
\(365\) | 1.55605 | + | 10.8225i | 0.0814472 | + | 0.566478i | ||||
\(366\) | −0.877493 | − | 9.67960i | −0.0458673 | − | 0.505961i | ||||
\(367\) | − | 34.1297i | − | 1.78156i | −0.454440 | − | 0.890778i | \(-0.650160\pi\) | ||
0.454440 | − | 0.890778i | \(-0.349840\pi\) | |||||||
\(368\) | 1.81719 | + | 4.43822i | 0.0947275 | + | 0.231358i | ||||
\(369\) | −12.4137 | − | 3.13784i | −0.646234 | − | 0.163350i | ||||
\(370\) | 0.427263 | + | 0.274585i | 0.0222124 | + | 0.0142750i | ||||
\(371\) | 6.08708 | − | 0.875190i | 0.316026 | − | 0.0454376i | ||||
\(372\) | −0.468270 | + | 0.897726i | −0.0242787 | + | 0.0465449i | ||||
\(373\) | −8.56531 | + | 29.1708i | −0.443495 | + | 1.51041i | 0.370110 | + | 0.928988i | \(0.379320\pi\) |
−0.813605 | + | 0.581417i | \(0.802498\pi\) | |||||||
\(374\) | −2.10253 | − | 0.960192i | −0.108719 | − | 0.0496504i | ||||
\(375\) | −1.72967 | − | 0.0907058i | −0.0893200 | − | 0.00468403i | ||||
\(376\) | 1.30318 | − | 9.06383i | 0.0672064 | − | 0.467431i | ||||
\(377\) | −7.12464 | − | 24.2643i | −0.366938 | − | 1.24967i | ||||
\(378\) | −6.43665 | − | 3.05212i | −0.331066 | − | 0.156984i | ||||
\(379\) | 14.6211 | + | 22.7509i | 0.751036 | + | 1.16864i | 0.980729 | + | 0.195372i | \(0.0625914\pi\) |
−0.229693 | + | 0.973263i | \(0.573772\pi\) | |||||||
\(380\) | −4.44903 | − | 6.92283i | −0.228231 | − | 0.355134i | ||||
\(381\) | 5.30857 | − | 26.8503i | 0.271966 | − | 1.37558i | ||||
\(382\) | −2.28615 | − | 7.78590i | −0.116969 | − | 0.398361i | ||||
\(383\) | −0.820838 | + | 5.70905i | −0.0419428 | + | 0.291719i | 0.958044 | + | 0.286621i | \(0.0925319\pi\) |
−0.999987 | + | 0.00509823i | \(0.998377\pi\) | |||||||
\(384\) | −0.0907058 | + | 1.72967i | −0.00462881 | + | 0.0882671i | ||||
\(385\) | 0.503567 | + | 0.229971i | 0.0256641 | + | 0.0117204i | ||||
\(386\) | 5.65508 | − | 19.2594i | 0.287836 | − | 0.980280i | ||||
\(387\) | 1.00413 | + | 5.49275i | 0.0510428 | + | 0.279212i | ||||
\(388\) | −18.3331 | + | 2.63590i | −0.930722 | + | 0.133818i | ||||
\(389\) | 3.43506 | + | 2.20758i | 0.174165 | + | 0.111929i | 0.624819 | − | 0.780770i | \(-0.285173\pi\) |
−0.450654 | + | 0.892699i | \(0.648809\pi\) | |||||||
\(390\) | −8.71373 | + | 6.78521i | −0.441237 | + | 0.343583i | ||||
\(391\) | 17.1376 | + | 21.4451i | 0.866688 | + | 1.08452i | ||||
\(392\) | − | 5.12052i | − | 0.258625i | ||||||
\(393\) | 24.1832 | − | 2.19230i | 1.21988 | − | 0.110587i | ||||
\(394\) | 2.34385 | + | 16.3019i | 0.118082 | + | 0.821276i | ||||
\(395\) | −10.1129 | + | 4.61842i | −0.508836 | + | 0.232378i | ||||
\(396\) | −0.615738 | + | 1.04326i | −0.0309420 | + | 0.0524260i | ||||
\(397\) | 1.28656 | − | 2.81718i | 0.0645706 | − | 0.141390i | −0.874595 | − | 0.484854i | \(-0.838873\pi\) |
0.939166 | + | 0.343464i | \(0.111600\pi\) | |||||||
\(398\) | 11.3261 | − | 13.0711i | 0.567728 | − | 0.655193i | ||||
\(399\) | 16.9692 | − | 9.68904i | 0.849524 | − | 0.485059i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | −18.5602 | − | 21.4196i | −0.926850 | − | 1.06964i | −0.997395 | − | 0.0721336i | \(-0.977019\pi\) |
0.0705448 | − | 0.997509i | \(-0.477526\pi\) | |||||||
\(402\) | 4.41536 | + | 1.55191i | 0.220218 | + | 0.0774022i | ||||
\(403\) | −3.13567 | + | 2.01518i | −0.156199 | + | 0.100383i | ||||
\(404\) | 9.71034 | − | 8.41406i | 0.483107 | − | 0.418615i | ||||
\(405\) | 8.80308 | + | 1.87237i | 0.437429 | + | 0.0930388i | ||||
\(406\) | 5.38194 | + | 0.773806i | 0.267101 | + | 0.0384034i | ||||
\(407\) | 0.154995 | + | 0.134304i | 0.00768284 | + | 0.00665722i | ||||
\(408\) | 2.29119 | + | 9.64597i | 0.113431 | + | 0.477547i | ||||
\(409\) | −23.5077 | − | 6.90247i | −1.16238 | − | 0.341305i | −0.357022 | − | 0.934096i | \(-0.616208\pi\) |
−0.805357 | + | 0.592791i | \(0.798026\pi\) | |||||||
\(410\) | −1.77302 | − | 3.88237i | −0.0875631 | − | 0.191736i | ||||
\(411\) | −22.2831 | + | 23.1467i | −1.09914 | + | 1.14174i | ||||
\(412\) | −0.0748719 | + | 0.116503i | −0.00368867 | + | 0.00573969i | ||||
\(413\) | 0.683575 | 0.0336365 | ||||||||
\(414\) | 12.1173 | − | 7.75707i | 0.595531 | − | 0.381239i | ||||
\(415\) | −10.9018 | −0.535148 | ||||||||
\(416\) | −3.44724 | + | 5.36401i | −0.169015 | + | 0.262992i | ||||
\(417\) | 15.3292 | − | 15.9233i | 0.750676 | − | 0.779768i | ||||
\(418\) | −1.38042 | − | 3.02270i | −0.0675186 | − | 0.147845i | ||||
\(419\) | 23.1205 | + | 6.78879i | 1.12951 | + | 0.331654i | 0.792515 | − | 0.609852i | \(-0.208771\pi\) |
0.336995 | + | 0.941506i | \(0.390589\pi\) | |||||||
\(420\) | −0.548752 | − | 2.31026i | −0.0267764 | − | 0.112729i | ||||
\(421\) | −12.5394 | − | 10.8654i | −0.611132 | − | 0.529548i | 0.293381 | − | 0.955996i | \(-0.405220\pi\) |
−0.904512 | + | 0.426447i | \(0.859765\pi\) | |||||||
\(422\) | −18.6103 | − | 2.67576i | −0.905937 | − | 0.130254i | ||||
\(423\) | −27.4512 | + | 1.04403i | −1.33473 | + | 0.0507623i | ||||
\(424\) | −3.39009 | + | 2.93753i | −0.164637 | + | 0.142659i | ||||
\(425\) | −4.81538 | + | 3.09466i | −0.233580 | + | 0.150113i | ||||
\(426\) | −8.50139 | − | 2.98807i | −0.411894 | − | 0.144772i | ||||
\(427\) | 5.03781 | + | 5.81394i | 0.243797 | + | 0.281356i | ||||
\(428\) | 5.15583 | − | 1.51389i | 0.249217 | − | 0.0731766i | ||||
\(429\) | −3.87277 | + | 2.21126i | −0.186979 | + | 0.106761i | ||||
\(430\) | −1.21887 | + | 1.40665i | −0.0587789 | + | 0.0678345i | ||||
\(431\) | −11.1779 | + | 24.4762i | −0.538421 | + | 1.17898i | 0.423562 | + | 0.905867i | \(0.360779\pi\) |
−0.961983 | + | 0.273110i | \(0.911948\pi\) | |||||||
\(432\) | 5.15336 | − | 0.665459i | 0.247941 | − | 0.0320169i | ||||
\(433\) | 24.9796 | − | 11.4078i | 1.20044 | − | 0.548223i | 0.288079 | − | 0.957607i | \(-0.406984\pi\) |
0.912362 | + | 0.409384i | \(0.134256\pi\) | |||||||
\(434\) | −0.114054 | − | 0.793263i | −0.00547477 | − | 0.0380778i | ||||
\(435\) | −6.84142 | + | 0.620201i | −0.328021 | + | 0.0297364i | ||||
\(436\) | − | 8.92127i | − | 0.427251i | ||||||
\(437\) | −1.56957 | + | 39.4346i | −0.0750827 | + | 1.88641i | ||||
\(438\) | 14.9422 | − | 11.6352i | 0.713965 | − | 0.555950i | ||||
\(439\) | −7.04000 | − | 4.52433i | −0.336001 | − | 0.215935i | 0.361750 | − | 0.932275i | \(-0.382179\pi\) |
−0.697751 | + | 0.716340i | \(0.745816\pi\) | |||||||
\(440\) | −0.399696 | + | 0.0574676i | −0.0190547 | + | 0.00273966i | ||||
\(441\) | −15.1111 | + | 2.76247i | −0.719578 | + | 0.131546i | ||||
\(442\) | −10.2826 | + | 35.0193i | −0.489094 | + | 1.66570i | ||||
\(443\) | 21.6350 | + | 9.88038i | 1.02791 | + | 0.469431i | 0.856706 | − | 0.515805i | \(-0.172507\pi\) |
0.171204 | + | 0.985236i | \(0.445234\pi\) | |||||||
\(444\) | 0.0460684 | − | 0.878482i | 0.00218631 | − | 0.0416909i | ||||
\(445\) | −0.413934 | + | 2.87897i | −0.0196224 | + | 0.136476i | ||||
\(446\) | 3.26866 | + | 11.1320i | 0.154775 | + | 0.527117i | ||||
\(447\) | 0.811135 | − | 4.10265i | 0.0383654 | − | 0.194049i | ||||
\(448\) | −0.741187 | − | 1.15331i | −0.0350178 | − | 0.0544887i | ||||
\(449\) | 5.45849 | + | 8.49357i | 0.257602 | + | 0.400836i | 0.945832 | − | 0.324656i | \(-0.105248\pi\) |
−0.688230 | + | 0.725492i | \(0.741612\pi\) | |||||||
\(450\) | 1.34906 | + | 2.67956i | 0.0635951 | + | 0.126316i | ||||
\(451\) | −0.485557 | − | 1.65366i | −0.0228640 | − | 0.0778676i | ||||
\(452\) | 0.278195 | − | 1.93489i | 0.0130852 | − | 0.0910096i | ||||
\(453\) | 2.17033 | + | 0.113814i | 0.101971 | + | 0.00534745i | ||||
\(454\) | −4.32140 | − | 1.97352i | −0.202813 | − | 0.0926218i | ||||
\(455\) | 2.46274 | − | 8.38732i | 0.115455 | − | 0.393204i | ||||
\(456\) | −6.59192 | + | 12.6374i | −0.308695 | + | 0.591803i | ||||
\(457\) | −26.9812 | + | 3.87930i | −1.26213 | + | 0.181466i | −0.740703 | − | 0.671833i | \(-0.765507\pi\) |
−0.521422 | + | 0.853299i | \(0.674598\pi\) | |||||||
\(458\) | 0.239376 | + | 0.153838i | 0.0111853 | + | 0.00718837i | ||||
\(459\) | 27.2301 | − | 11.9654i | 1.27099 | − | 0.558497i | ||||
\(460\) | 4.54419 | + | 1.53308i | 0.211874 | + | 0.0714802i | ||||
\(461\) | 0.702074i | 0.0326989i | 0.999866 | + | 0.0163494i | \(0.00520442\pi\) | ||||
−0.999866 | + | 0.0163494i | \(0.994796\pi\) | |||||||
\(462\) | −0.0865687 | − | 0.954937i | −0.00402754 | − | 0.0444277i | ||||
\(463\) | 4.25598 | + | 29.6010i | 0.197792 | + | 1.37568i | 0.810673 | + | 0.585500i | \(0.199102\pi\) |
−0.612880 | + | 0.790176i | \(0.709989\pi\) | |||||||
\(464\) | −3.60769 | + | 1.64758i | −0.167483 | + | 0.0764868i | ||||
\(465\) | 0.371805 | + | 0.941781i | 0.0172420 | + | 0.0436740i | ||||
\(466\) | 6.76083 | − | 14.8041i | 0.313189 | − | 0.685789i | ||||
\(467\) | −14.1475 | + | 16.3271i | −0.654669 | + | 0.755528i | −0.981897 | − | 0.189417i | \(-0.939340\pi\) |
0.327228 | + | 0.944945i | \(0.393886\pi\) | |||||||
\(468\) | 17.6894 | + | 7.27930i | 0.817695 | + | 0.336486i | ||||
\(469\) | −3.55435 | + | 1.04365i | −0.164125 | + | 0.0481913i | ||||
\(470\) | −5.99658 | − | 6.92042i | −0.276602 | − | 0.319215i | ||||
\(471\) | 11.6351 | − | 33.1032i | 0.536118 | − | 1.52532i | ||||
\(472\) | −0.419464 | + | 0.269573i | −0.0193074 | + | 0.0124081i | ||||
\(473\) | −0.568012 | + | 0.492185i | −0.0261172 | + | 0.0226307i | ||||
\(474\) | 15.6320 | + | 11.2448i | 0.718000 | + | 0.516490i | ||||
\(475\) | −8.14542 | − | 1.17114i | −0.373738 | − | 0.0537354i | ||||
\(476\) | −5.93062 | − | 5.13891i | −0.271830 | − | 0.235542i | ||||
\(477\) | 10.4978 | + | 8.41971i | 0.480663 | + | 0.385512i | ||||
\(478\) | 13.5395 | + | 3.97555i | 0.619282 | + | 0.181838i | ||||
\(479\) | −10.3362 | − | 22.6331i | −0.472272 | − | 1.03413i | −0.984516 | − | 0.175292i | \(-0.943913\pi\) |
0.512244 | − | 0.858840i | \(-0.328814\pi\) | |||||||
\(480\) | 1.24780 | + | 1.20125i | 0.0569541 | + | 0.0548292i | ||||
\(481\) | 1.75081 | − | 2.72432i | 0.0798302 | − | 0.124218i | ||||
\(482\) | 5.00039 | 0.227762 | ||||||||
\(483\) | −4.20044 | + | 10.5849i | −0.191127 | + | 0.481630i | ||||
\(484\) | 10.8369 | 0.492588 | ||||||||
\(485\) | −10.0135 | + | 15.5814i | −0.454692 | + | 0.707514i | ||||
\(486\) | −4.74402 | − | 14.8491i | −0.215193 | − | 0.673567i | ||||
\(487\) | 4.16130 | + | 9.11198i | 0.188567 | + | 0.412903i | 0.980177 | − | 0.198123i | \(-0.0634844\pi\) |
−0.791611 | + | 0.611026i | \(0.790757\pi\) | |||||||
\(488\) | −5.38414 | − | 1.58092i | −0.243728 | − | 0.0715651i | ||||
\(489\) | −23.8797 | + | 5.67210i | −1.07988 | + | 0.256501i | ||||
\(490\) | −3.86983 | − | 3.35323i | −0.174821 | − | 0.151483i | ||||
\(491\) | 11.8700 | + | 1.70664i | 0.535684 | + | 0.0770198i | 0.404848 | − | 0.914384i | \(-0.367325\pi\) |
0.130837 | + | 0.991404i | \(0.458234\pi\) | |||||||
\(492\) | −4.31688 | + | 6.00113i | −0.194620 | + | 0.270552i | ||||
\(493\) | −17.1571 | + | 14.8667i | −0.772718 | + | 0.669564i | ||||
\(494\) | −44.1414 | + | 28.3680i | −1.98602 | + | 1.27634i | ||||
\(495\) | 0.385224 | + | 1.14854i | 0.0173145 | + | 0.0516229i | ||||
\(496\) | 0.382816 | + | 0.441794i | 0.0171890 | + | 0.0198371i | ||||
\(497\) | 6.84359 | − | 2.00946i | 0.306977 | − | 0.0901366i | ||||
\(498\) | 9.36273 | + | 16.3977i | 0.419554 | + | 0.734800i | ||||
\(499\) | 16.3850 | − | 18.9092i | 0.733491 | − | 0.846494i | −0.259369 | − | 0.965778i | \(-0.583514\pi\) |
0.992860 | + | 0.119284i | \(0.0380599\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | 20.7371 | − | 8.18678i | 0.926465 | − | 0.365758i | ||||
\(502\) | −7.17309 | + | 3.27584i | −0.320151 | + | 0.146208i | ||||
\(503\) | −1.02098 | − | 7.10104i | −0.0455231 | − | 0.316620i | −0.999841 | − | 0.0178271i | \(-0.994325\pi\) |
0.954318 | − | 0.298793i | \(-0.0965839\pi\) | |||||||
\(504\) | −3.00366 | + | 2.80951i | −0.133794 | + | 0.125145i | ||||
\(505\) | − | 12.8486i | − | 0.571756i | ||||||
\(506\) | 1.72819 | + | 0.873909i | 0.0768275 | + | 0.0388500i | ||||
\(507\) | 29.4300 | + | 37.7948i | 1.30703 | + | 1.67852i | ||||
\(508\) | −13.2936 | − | 8.54326i | −0.589807 | − | 0.379046i | ||||
\(509\) | 3.69012 | − | 0.530559i | 0.163562 | − | 0.0235166i | −0.0600475 | − | 0.998196i | \(-0.519125\pi\) |
0.223609 | + | 0.974679i | \(0.428216\pi\) | |||||||
\(510\) | 8.79035 | + | 4.58520i | 0.389243 | + | 0.203036i | ||||
\(511\) | −4.22307 | + | 14.3824i | −0.186818 | + | 0.636242i | ||||
\(512\) | 0.909632 | + | 0.415415i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | 40.8506 | + | 12.6356i | 1.80360 | + | 0.557875i | ||||
\(514\) | −2.09991 | + | 14.6052i | −0.0926232 | + | 0.644209i | ||||
\(515\) | 0.0390164 | + | 0.132878i | 0.00171927 | + | 0.00585528i | ||||
\(516\) | 3.16258 | + | 0.625273i | 0.139225 | + | 0.0275261i | ||||
\(517\) | −1.99911 | − | 3.11067i | −0.0879206 | − | 0.136807i | ||||
\(518\) | 0.376440 | + | 0.585753i | 0.0165398 | + | 0.0257365i | ||||
\(519\) | −31.9337 | − | 6.31361i | −1.40173 | − | 0.277137i | ||||
\(520\) | 1.79639 | + | 6.11793i | 0.0787767 | + | 0.268289i | ||||
\(521\) | −1.00592 | + | 6.99634i | −0.0440703 | + | 0.306515i | 0.955850 | + | 0.293856i | \(0.0949387\pi\) |
−0.999920 | + | 0.0126591i | \(0.995970\pi\) | |||||||
\(522\) | 6.80846 | + | 9.75777i | 0.297998 | + | 0.427086i | ||||
\(523\) | −13.5095 | − | 6.16959i | −0.590730 | − | 0.269777i | 0.0975404 | − | 0.995232i | \(-0.468902\pi\) |
−0.688270 | + | 0.725454i | \(0.741630\pi\) | |||||||
\(524\) | 3.94973 | − | 13.4515i | 0.172545 | − | 0.587633i | ||||
\(525\) | −2.10534 | − | 1.09818i | −0.0918844 | − | 0.0479285i | ||||
\(526\) | −30.0428 | + | 4.31950i | −1.30993 | + | 0.188339i | ||||
\(527\) | 2.81496 | + | 1.80906i | 0.122621 | + | 0.0788040i | ||||
\(528\) | 0.429708 | + | 0.551841i | 0.0187006 | + | 0.0240158i | ||||
\(529\) | −13.6326 | − | 18.5243i | −0.592724 | − | 0.805406i | ||||
\(530\) | 4.48573i | 0.194848i | ||||||||
\(531\) | 1.02183 | + | 1.09244i | 0.0443437 | + | 0.0474081i | ||||
\(532\) | −1.60556 | − | 11.1669i | −0.0696097 | − | 0.484146i | ||||
\(533\) | −24.7548 | + | 11.3051i | −1.07225 | + | 0.489679i | ||||
\(534\) | 4.68586 | − | 1.84993i | 0.202777 | − | 0.0800541i | ||||
\(535\) | 2.23223 | − | 4.88791i | 0.0965078 | − | 0.211323i | ||||
\(536\) | 1.76949 | − | 2.04210i | 0.0764304 | − | 0.0882053i | ||||
\(537\) | 16.7316 | + | 29.3034i | 0.722021 | + | 1.26454i | ||||
\(538\) | 23.4816 | − | 6.89481i | 1.01236 | − | 0.297256i | ||||
\(539\) | −1.35405 | − | 1.56266i | −0.0583232 | − | 0.0673086i | ||||
\(540\) | 2.87182 | − | 4.33044i | 0.123583 | − | 0.186352i | ||||
\(541\) | 25.2953 | − | 16.2563i | 1.08753 | − | 0.698912i | 0.131244 | − | 0.991350i | \(-0.458103\pi\) |
0.956284 | + | 0.292438i | \(0.0944665\pi\) | |||||||
\(542\) | −7.09222 | + | 6.14544i | −0.304637 | + | 0.263969i | ||||
\(543\) | 11.1846 | − | 15.5483i | 0.479976 | − | 0.667240i | ||||
\(544\) | 5.66579 | + | 0.814617i | 0.242919 | + | 0.0349264i | ||||
\(545\) | −6.74225 | − | 5.84219i | −0.288806 | − | 0.250252i | ||||
\(546\) | −14.7307 | + | 3.49896i | −0.630416 | + | 0.149742i | ||||
\(547\) | 18.3940 | + | 5.40095i | 0.786469 | + | 0.230928i | 0.650219 | − | 0.759747i | \(-0.274677\pi\) |
0.136249 | + | 0.990675i | \(0.456495\pi\) | |||||||
\(548\) | 7.70593 | + | 16.8736i | 0.329181 | + | 0.720806i | ||||
\(549\) | −1.76077 | + | 16.7420i | −0.0751480 | + | 0.714530i | ||||
\(550\) | −0.218314 | + | 0.339703i | −0.00930894 | + | 0.0144850i | ||||
\(551\) | −32.6377 | −1.39041 | ||||||||
\(552\) | −1.59671 | − | 8.15172i | −0.0679606 | − | 0.346960i | ||||
\(553\) | −15.2416 | −0.648138 | ||||||||
\(554\) | 7.98991 | − | 12.4326i | 0.339459 | − | 0.528208i | ||||
\(555\) | −0.633744 | − | 0.610099i | −0.0269009 | − | 0.0258973i | ||||
\(556\) | −5.30116 | − | 11.6079i | −0.224819 | − | 0.492285i | ||||
\(557\) | 40.2355 | + | 11.8142i | 1.70483 | + | 0.500584i | 0.981750 | − | 0.190178i | \(-0.0609064\pi\) |
0.723083 | + | 0.690761i | \(0.242725\pi\) | |||||||
\(558\) | 1.09725 | − | 1.36807i | 0.0464502 | − | 0.0579150i | ||||
\(559\) | 8.96907 | + | 7.77174i | 0.379351 | + | 0.328710i | ||||
\(560\) | −1.35699 | − | 0.195105i | −0.0573432 | − | 0.00824470i | ||||
\(561\) | 3.24996 | + | 2.33785i | 0.137214 | + | 0.0987039i | ||||
\(562\) | 7.99313 | − | 6.92608i | 0.337170 | − | 0.292159i | ||||
\(563\) | −7.17869 | + | 4.61346i | −0.302546 | + | 0.194434i | −0.683101 | − | 0.730324i | \(-0.739369\pi\) |
0.380555 | + | 0.924758i | \(0.375733\pi\) | |||||||
\(564\) | −5.25922 | + | 14.9631i | −0.221453 | + | 0.630060i | ||||
\(565\) | −1.28011 | − | 1.47733i | −0.0538548 | − | 0.0621517i | ||||
\(566\) | 21.7240 | − | 6.37875i | 0.913128 | − | 0.268119i | ||||
\(567\) | 9.91157 | + | 7.34838i | 0.416247 | + | 0.308603i | ||||
\(568\) | −3.40700 | + | 3.93189i | −0.142955 | + | 0.164978i | ||||
\(569\) | 3.28662 | − | 7.19670i | 0.137782 | − | 0.301701i | −0.828145 | − | 0.560513i | \(-0.810604\pi\) |
0.965928 | + | 0.258812i | \(0.0833311\pi\) | |||||||
\(570\) | 5.23396 | + | 13.2576i | 0.219226 | + | 0.555300i | ||||
\(571\) | −6.88888 | + | 3.14605i | −0.288291 | + | 0.131658i | −0.554311 | − | 0.832309i | \(-0.687018\pi\) |
0.266021 | + | 0.963967i | \(0.414291\pi\) | |||||||
\(572\) | 0.366425 | + | 2.54854i | 0.0153210 | + | 0.106560i | ||||
\(573\) | 1.26893 | + | 13.9975i | 0.0530102 | + | 0.584754i | ||||
\(574\) | − | 5.85126i | − | 0.244227i | ||||||
\(575\) | 4.13444 | − | 2.43032i | 0.172418 | − | 0.101351i | ||||
\(576\) | 0.735192 | − | 2.90852i | 0.0306330 | − | 0.121188i | ||||
\(577\) | 24.7927 | + | 15.9333i | 1.03213 | + | 0.663311i | 0.943029 | − | 0.332711i | \(-0.107963\pi\) |
0.0891033 | + | 0.996022i | \(0.471600\pi\) | |||||||
\(578\) | 15.6043 | − | 2.24356i | 0.649053 | − | 0.0933197i | ||||
\(579\) | −16.0789 | + | 30.8251i | −0.668217 | + | 1.28105i | ||||
\(580\) | −1.11738 | + | 3.80544i | −0.0463966 | + | 0.158012i | ||||
\(581\) | −13.5951 | − | 6.20867i | −0.564019 | − | 0.257579i | ||||
\(582\) | 32.0364 | + | 1.68002i | 1.32795 | + | 0.0696390i | ||||
\(583\) | −0.257784 | + | 1.79293i | −0.0106763 | + | 0.0742555i | ||||
\(584\) | −3.08042 | − | 10.4909i | −0.127468 | − | 0.434118i | ||||
\(585\) | 17.0854 | − | 8.60186i | 0.706396 | − | 0.355643i | ||||
\(586\) | 4.62947 | + | 7.20359i | 0.191242 | + | 0.297578i | ||||
\(587\) | 17.2670 | + | 26.8681i | 0.712687 | + | 1.10896i | 0.989003 | + | 0.147896i | \(0.0472502\pi\) |
−0.276315 | + | 0.961067i | \(0.589113\pi\) | |||||||
\(588\) | −1.72019 | + | 8.70058i | −0.0709395 | + | 0.358806i | ||||
\(589\) | 1.35530 | + | 4.61573i | 0.0558441 | + | 0.190188i | ||||
\(590\) | −0.0709607 | + | 0.493542i | −0.00292140 | + | 0.0203188i | ||||
\(591\) | 1.49388 | − | 28.4869i | 0.0614499 | − | 1.17179i | ||||
\(592\) | −0.461992 | − | 0.210985i | −0.0189877 | − | 0.00867141i | ||||
\(593\) | −1.19659 | + | 4.07520i | −0.0491379 | + | 0.167348i | −0.980406 | − | 0.196985i | \(-0.936885\pi\) |
0.931269 | + | 0.364333i | \(0.118703\pi\) | |||||||
\(594\) | 1.39671 | − | 1.56582i | 0.0573078 | − | 0.0642464i | ||||
\(595\) | −7.76746 | + | 1.11679i | −0.318435 | + | 0.0457840i | ||||
\(596\) | −2.03122 | − | 1.30539i | −0.0832021 | − | 0.0534707i | ||||
\(597\) | −23.6360 | + | 18.4049i | −0.967357 | + | 0.753262i | ||||
\(598\) | 9.77523 | − | 28.9747i | 0.399739 | − | 1.18486i | ||||
\(599\) | − | 35.1729i | − | 1.43713i | −0.695461 | − | 0.718564i | \(-0.744800\pi\) | ||
0.695461 | − | 0.718564i | \(-0.255200\pi\) | |||||||
\(600\) | 1.72498 | − | 0.156376i | 0.0704219 | − | 0.00638401i | ||||
\(601\) | 2.76791 | + | 19.2512i | 0.112905 | + | 0.785274i | 0.965068 | + | 0.261998i | \(0.0843814\pi\) |
−0.852163 | + | 0.523276i | \(0.824710\pi\) | |||||||
\(602\) | −2.32109 | + | 1.06000i | −0.0946004 | + | 0.0432026i | ||||
\(603\) | −6.98105 | − | 4.12024i | −0.284290 | − | 0.167789i | ||||
\(604\) | 0.521247 | − | 1.14137i | 0.0212092 | − | 0.0464417i | ||||
\(605\) | 7.09669 | − | 8.19001i | 0.288521 | − | 0.332971i | ||||
\(606\) | −19.3260 | + | 11.0347i | −0.785067 | + | 0.448255i | ||||
\(607\) | −17.7035 | + | 5.19821i | −0.718562 | + | 0.210989i | −0.620517 | − | 0.784193i | \(-0.713077\pi\) |
−0.0980451 | + | 0.995182i | \(0.531259\pi\) | |||||||
\(608\) | 5.38897 | + | 6.21920i | 0.218552 | + | 0.252222i | ||||
\(609\) | −8.88482 | − | 3.12283i | −0.360031 | − | 0.126544i | ||||
\(610\) | −4.72064 | + | 3.03377i | −0.191133 | + | 0.122834i | ||||
\(611\) | −44.1261 | + | 38.2355i | −1.78515 | + | 1.54684i | ||||
\(612\) | −0.652620 | − | 17.1597i | −0.0263806 | − | 0.693642i | ||||
\(613\) | −23.1683 | − | 3.33110i | −0.935759 | − | 0.134542i | −0.342468 | − | 0.939530i | \(-0.611263\pi\) |
−0.593292 | + | 0.804988i | \(0.702172\pi\) | |||||||
\(614\) | 0.00128275 | + | 0.00111151i | 5.17674e−5 | + | 4.48567e-5i | ||||
\(615\) | 1.70839 | + | 7.19239i | 0.0688891 | + | 0.290025i | ||||
\(616\) | −0.531170 | − | 0.155965i | −0.0214014 | − | 0.00628403i | ||||
\(617\) | −4.50903 | − | 9.87339i | −0.181527 | − | 0.397488i | 0.796892 | − | 0.604122i | \(-0.206476\pi\) |
−0.978418 | + | 0.206635i | \(0.933749\pi\) | |||||||
\(618\) | 0.166357 | − | 0.172804i | 0.00669187 | − | 0.00695122i | ||||
\(619\) | −4.05753 | + | 6.31364i | −0.163086 | + | 0.253767i | −0.913173 | − | 0.407573i | \(-0.866375\pi\) |
0.750087 | + | 0.661339i | \(0.230012\pi\) | |||||||
\(620\) | 0.584577 | 0.0234772 | ||||||||
\(621\) | −23.1951 | + | 9.10981i | −0.930786 | + | 0.365564i | ||||
\(622\) | 28.1566 | 1.12898 | ||||||||
\(623\) | −2.15580 | + | 3.35449i | −0.0863703 | + | 0.134395i | ||||
\(624\) | 7.65940 | − | 7.95624i | 0.306621 | − | 0.318505i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 1.41096 | + | 0.414295i | 0.0563933 | + | 0.0165586i | ||||
\(627\) | 1.33011 | + | 5.59979i | 0.0531194 | + | 0.223634i | ||||
\(628\) | −15.3102 | − | 13.2664i | −0.610945 | − | 0.529387i | ||||
\(629\) | −2.87759 | − | 0.413735i | −0.114737 | − | 0.0164967i | ||||
\(630\) | 0.156306 | + | 4.10985i | 0.00622738 | + | 0.163740i | ||||
\(631\) | 16.0437 | − | 13.9020i | 0.638690 | − | 0.553428i | −0.274180 | − | 0.961678i | \(-0.588406\pi\) |
0.912870 | + | 0.408250i | \(0.133861\pi\) | |||||||
\(632\) | 9.35272 | − | 6.01063i | 0.372031 | − | 0.239090i | ||||
\(633\) | 30.7230 | + | 10.7985i | 1.22113 | + | 0.429203i | ||||
\(634\) | 16.2343 | + | 18.7354i | 0.644746 | + | 0.744076i | ||||
\(635\) | −15.1620 | + | 4.45196i | −0.601685 | + | 0.176671i | ||||
\(636\) | 6.74714 | − | 3.85246i | 0.267542 | − | 0.152760i | ||||
\(637\) | −21.3809 | + | 24.6749i | −0.847142 | + | 0.977653i | ||||
\(638\) | −0.665301 | + | 1.45681i | −0.0263395 | + | 0.0576755i | ||||
\(639\) | 13.4414 | + | 7.93317i | 0.531734 | + | 0.313831i | ||||
\(640\) | 0.909632 | − | 0.415415i | 0.0359564 | − | 0.0164207i | ||||
\(641\) | −3.68330 | − | 25.6179i | −0.145482 | − | 1.01185i | −0.923498 | − | 0.383603i | \(-0.874683\pi\) |
0.778016 | − | 0.628244i | \(-0.216226\pi\) | |||||||
\(642\) | −9.26916 | + | 0.840285i | −0.365825 | + | 0.0331634i | ||||
\(643\) | − | 36.6855i | − | 1.44673i | −0.690464 | − | 0.723367i | \(-0.742594\pi\) | ||
0.690464 | − | 0.723367i | \(-0.257406\pi\) | |||||||
\(644\) | 4.79374 | + | 4.49979i | 0.188900 | + | 0.177317i | ||||
\(645\) | 2.54360 | − | 1.98065i | 0.100154 | − | 0.0779880i | ||||
\(646\) | 39.6266 | + | 25.4665i | 1.55909 | + | 1.00197i | ||||
\(647\) | −21.6513 | + | 3.11299i | −0.851202 | + | 0.122384i | −0.554088 | − | 0.832458i | \(-0.686933\pi\) |
−0.297113 | + | 0.954842i | \(0.596024\pi\) | |||||||
\(648\) | −8.97994 | − | 0.600503i | −0.352766 | − | 0.0235900i | ||||
\(649\) | −0.0567253 | + | 0.193189i | −0.00222666 | + | 0.00758332i | ||||
\(650\) | 5.80000 | + | 2.64877i | 0.227495 | + | 0.103893i | ||||
\(651\) | −0.0726934 | + | 1.38620i | −0.00284908 | + | 0.0543293i | ||||
\(652\) | −2.01668 | + | 14.0263i | −0.0789792 | + | 0.549313i | ||||
\(653\) | 4.27934 | + | 14.5741i | 0.167463 | + | 0.570328i | 0.999869 | + | 0.0161617i | \(0.00514466\pi\) |
−0.832406 | + | 0.554166i | \(0.813037\pi\) | |||||||
\(654\) | −2.99702 | + | 15.1587i | −0.117193 | + | 0.592751i | ||||
\(655\) | −7.57947 | − | 11.7939i | −0.296154 | − | 0.460825i | ||||
\(656\) | 2.30749 | + | 3.59052i | 0.0900923 | + | 0.140186i | ||||
\(657\) | −29.2979 | + | 14.7503i | −1.14302 | + | 0.575466i | ||||
\(658\) | −3.53680 | − | 12.0452i | −0.137879 | − | 0.469572i | ||||
\(659\) | −1.13675 | + | 7.90628i | −0.0442815 | + | 0.307985i | 0.955629 | + | 0.294574i | \(0.0951779\pi\) |
−0.999910 | + | 0.0134105i | \(0.995731\pi\) | |||||||
\(660\) | 0.698453 | + | 0.0366275i | 0.0271872 | + | 0.00142572i | ||||
\(661\) | −31.5144 | − | 14.3921i | −1.22577 | − | 0.559790i | −0.305917 | − | 0.952058i | \(-0.598963\pi\) |
−0.919851 | + | 0.392268i | \(0.871690\pi\) | |||||||
\(662\) | −0.00365790 | + | 0.0124577i | −0.000142168 | + | 0.000484181i | ||||
\(663\) | 29.2362 | − | 56.0491i | 1.13544 | − | 2.17677i | ||||
\(664\) | 10.7908 | − | 1.55149i | 0.418765 | − | 0.0602093i | ||||
\(665\) | −9.49079 | − | 6.09936i | −0.368037 | − | 0.236523i | ||||
\(666\) | −0.373395 | + | 1.47720i | −0.0144688 | + | 0.0572405i | ||||
\(667\) | 14.8589 | − | 11.8744i | 0.575339 | − | 0.459778i | ||||
\(668\) | − | 12.8718i | − | 0.498025i | ||||||
\(669\) | −1.81427 | − | 20.0132i | −0.0701437 | − | 0.773754i | ||||
\(670\) | −0.384547 | − | 2.67458i | −0.0148563 | − | 0.103328i | ||||
\(671\) | −2.06116 | + | 0.941302i | −0.0795703 | + | 0.0363386i | ||||
\(672\) | 0.871951 | + | 2.20865i | 0.0336362 | + | 0.0852006i | ||||
\(673\) | 7.46626 | − | 16.3488i | 0.287803 | − | 0.630201i | −0.709411 | − | 0.704795i | \(-0.751039\pi\) |
0.997214 | + | 0.0745943i | \(0.0237662\pi\) | |||||||
\(674\) | 13.1180 | − | 15.1389i | 0.505285 | − | 0.583131i | ||||
\(675\) | −1.39209 | − | 5.00621i | −0.0535814 | − | 0.192689i | ||||
\(676\) | 26.5358 | − | 7.79161i | 1.02061 | − | 0.299677i | ||||
\(677\) | 16.5525 | + | 19.1026i | 0.636165 | + | 0.734174i | 0.978692 | − | 0.205334i | \(-0.0658281\pi\) |
−0.342527 | + | 0.939508i | \(0.611283\pi\) | |||||||
\(678\) | −1.12271 | + | 3.19423i | −0.0431173 | + | 0.122674i | ||||
\(679\) | −21.3612 | + | 13.7280i | −0.819766 | + | 0.526832i | ||||
\(680\) | 4.32595 | − | 3.74846i | 0.165893 | − | 0.143747i | ||||
\(681\) | 6.67977 | + | 4.80506i | 0.255969 | + | 0.184130i | ||||
\(682\) | 0.233653 | + | 0.0335942i | 0.00894703 | + | 0.00128639i | ||||
\(683\) | 11.7811 | + | 10.2084i | 0.450793 | + | 0.390614i | 0.850455 | − | 0.526048i | \(-0.176327\pi\) |
−0.399662 | + | 0.916663i | \(0.630872\pi\) | |||||||
\(684\) | 15.4462 | − | 19.2585i | 0.590599 | − | 0.736369i | ||||
\(685\) | 17.7986 | + | 5.22613i | 0.680048 | + | 0.199680i | ||||
\(686\) | −6.90275 | − | 15.1149i | −0.263548 | − | 0.577090i | ||||
\(687\) | −0.355058 | − | 0.341812i | −0.0135463 | − | 0.0130409i | ||||
\(688\) | 1.00627 | − | 1.56579i | 0.0383638 | − | 0.0596952i | ||||
\(689\) | 28.6020 | 1.08965 | ||||||||
\(690\) | −7.20628 | − | 4.13153i | −0.274338 | − | 0.157284i | ||||
\(691\) | 3.45676 | 0.131501 | 0.0657507 | − | 0.997836i | \(-0.479056\pi\) | ||||
0.0657507 | + | 0.997836i | \(0.479056\pi\) | |||||||
\(692\) | −10.1607 | + | 15.8104i | −0.386252 | + | 0.601020i | ||||
\(693\) | −0.173708 | + | 1.65167i | −0.00659863 | + | 0.0627419i | ||||
\(694\) | −1.24882 | − | 2.73453i | −0.0474044 | − | 0.103801i | ||||
\(695\) | −12.2442 | − | 3.59522i | −0.464449 | − | 0.136374i | ||||
\(696\) | 6.68352 | − | 1.58752i | 0.253338 | − | 0.0601750i | ||||
\(697\) | 18.4634 | + | 15.9986i | 0.699352 | + | 0.605992i | ||||
\(698\) | 12.6567 | + | 1.81976i | 0.479064 | + | 0.0688790i | ||||
\(699\) | −16.4610 | + | 22.8834i | −0.622614 | + | 0.865529i | ||||
\(700\) | −1.03609 | + | 0.897775i | −0.0391605 | + | 0.0339327i | ||||
\(701\) | −26.9091 | + | 17.2934i | −1.01634 | + | 0.653163i | −0.939027 | − | 0.343843i | \(-0.888271\pi\) |
−0.0773151 | + | 0.997007i | \(0.524635\pi\) | |||||||
\(702\) | −27.6118 | − | 18.3113i | −1.04214 | − | 0.691115i | ||||
\(703\) | −2.73700 | − | 3.15866i | −0.103228 | − | 0.119131i | ||||
\(704\) | 0.387449 | − | 0.113765i | 0.0146025 | − | 0.00428769i | ||||
\(705\) | 7.86429 | + | 13.7734i | 0.296186 | + | 0.518736i | ||||
\(706\) | 21.3144 | − | 24.5982i | 0.802179 | − | 0.925764i | ||||
\(707\) | 7.31741 | − | 16.0229i | 0.275200 | − | 0.602603i | ||||
\(708\) | 0.803296 | − | 0.317133i | 0.0301897 | − | 0.0119186i | ||||
\(709\) | 6.52880 | − | 2.98160i | 0.245194 | − | 0.111976i | −0.289028 | − | 0.957321i | \(-0.593332\pi\) |
0.534222 | + | 0.845344i | \(0.320605\pi\) | |||||||
\(710\) | 0.740412 | + | 5.14968i | 0.0277872 | + | 0.193264i | ||||
\(711\) | −22.7836 | − | 24.3581i | −0.854452 | − | 0.913499i | ||||
\(712\) | − | 2.90858i | − | 0.109004i | ||||||
\(713\) | −2.29633 | − | 1.60830i | −0.0859984 | − | 0.0602314i | ||||
\(714\) | 8.35070 | + | 10.7242i | 0.312517 | + | 0.401342i | ||||
\(715\) | 2.16602 | + | 1.39202i | 0.0810045 | + | 0.0520584i | ||||
\(716\) | 19.2836 | − | 2.77257i | 0.720663 | − | 0.103616i | ||||
\(717\) | −21.6702 | − | 11.3036i | −0.809288 | − | 0.422139i | ||||
\(718\) | −8.64613 | + | 29.4460i | −0.322671 | + | 1.09892i | ||||
\(719\) | −9.50565 | − | 4.34108i | −0.354501 | − | 0.161895i | 0.230202 | − | 0.973143i | \(-0.426061\pi\) |
−0.584702 | + | 0.811248i | \(0.698789\pi\) | |||||||
\(720\) | −1.71667 | − | 2.46030i | −0.0639763 | − | 0.0916899i | ||||
\(721\) | −0.0270196 | + | 0.187925i | −0.00100626 | + | 0.00699871i | ||||
\(722\) | 13.7259 | + | 46.7460i | 0.510824 | + | 1.73971i | ||||
\(723\) | −8.49646 | − | 1.67984i | −0.315987 | − | 0.0624738i | ||||
\(724\) | −5.97844 | − | 9.30264i | −0.222187 | − | 0.345730i | ||||
\(725\) | 2.14423 | + | 3.33649i | 0.0796348 | + | 0.123914i | ||||
\(726\) | −18.4137 | − | 3.64057i | −0.683396 | − | 0.135114i | ||||
\(727\) | −1.75247 | − | 5.96835i | −0.0649954 | − | 0.221354i | 0.920591 | − | 0.390529i | \(-0.127708\pi\) |
−0.985586 | + | 0.169175i | \(0.945890\pi\) | |||||||
\(728\) | −1.24403 | + | 8.65243i | −0.0461069 | + | 0.320681i | ||||
\(729\) | 3.07244 | + | 26.8246i | 0.113794 | + | 0.993504i | ||||
\(730\) | −9.94576 | − | 4.54208i | −0.368109 | − | 0.168110i | ||||
\(731\) | 3.00156 | − | 10.2224i | 0.111017 | − | 0.378088i | ||||
\(732\) | 8.61741 | + | 4.49499i | 0.318509 | + | 0.166140i | ||||
\(733\) | 24.2811 | − | 3.49110i | 0.896844 | − | 0.128947i | 0.321549 | − | 0.946893i | \(-0.395796\pi\) |
0.575295 | + | 0.817946i | \(0.304887\pi\) | |||||||
\(734\) | 28.7117 | + | 18.4519i | 1.05977 | + | 0.681072i | ||||
\(735\) | 5.44898 | + | 6.99770i | 0.200988 | + | 0.258114i | ||||
\(736\) | −4.71612 | − | 0.870769i | −0.173838 | − | 0.0320970i | ||||
\(737\) | − | 1.09112i | − | 0.0401919i | ||||||
\(738\) | 9.35110 | − | 8.74666i | 0.344219 | − | 0.321969i | ||||
\(739\) | −4.98729 | − | 34.6874i | −0.183461 | − | 1.27600i | −0.848503 | − | 0.529191i | \(-0.822496\pi\) |
0.665042 | − | 0.746806i | \(-0.268413\pi\) | |||||||
\(740\) | −0.461992 | + | 0.210985i | −0.0169832 | + | 0.00775595i | ||||
\(741\) | 84.5333 | − | 33.3728i | 3.10541 | − | 1.22598i | ||||
\(742\) | −2.55467 | + | 5.59394i | −0.0937848 | + | 0.205360i | ||||
\(743\) | 21.0635 | − | 24.3086i | 0.772744 | − | 0.891794i | −0.223819 | − | 0.974631i | \(-0.571852\pi\) |
0.996563 | + | 0.0828363i | \(0.0263979\pi\) | |||||||
\(744\) | −0.502050 | − | 0.879281i | −0.0184060 | − | 0.0322360i | ||||
\(745\) | −2.31671 | + | 0.680248i | −0.0848778 | + | 0.0249224i | ||||
\(746\) | −19.9093 | − | 22.9765i | −0.728930 | − | 0.841230i | ||||
\(747\) | −10.4001 | − | 31.0077i | −0.380520 | − | 1.13451i | ||||
\(748\) | 1.94448 | − | 1.24964i | 0.0710972 | − | 0.0456914i | ||||
\(749\) | 5.56742 | − | 4.82419i | 0.203429 | − | 0.176272i | ||||
\(750\) | 1.01144 | − | 1.40606i | 0.0369325 | − | 0.0513419i | ||||
\(751\) | 12.0076 | + | 1.72643i | 0.438163 | + | 0.0629983i | 0.357866 | − | 0.933773i | \(-0.383504\pi\) |
0.0802962 | + | 0.996771i | \(0.474413\pi\) | |||||||
\(752\) | 6.92042 | + | 5.99658i | 0.252362 | + | 0.218673i | ||||
\(753\) | 13.2887 | − | 3.15644i | 0.484268 | − | 0.115027i | ||||
\(754\) | 24.2643 | + | 7.12464i | 0.883653 | + | 0.259464i | ||||
\(755\) | −0.521247 | − | 1.14137i | −0.0189701 | − | 0.0415388i | ||||
\(756\) | 6.04753 | − | 3.76475i | 0.219946 | − | 0.136923i | ||||
\(757\) | −2.34534 | + | 3.64942i | −0.0852427 | + | 0.132640i | −0.881257 | − | 0.472638i | \(-0.843302\pi\) |
0.796014 | + | 0.605278i | \(0.206938\pi\) | |||||||
\(758\) | −27.0440 | −0.982284 | ||||||||
\(759\) | −2.64289 | − | 2.06548i | −0.0959309 | − | 0.0749722i | ||||
\(760\) | 8.22918 | 0.298504 | ||||||||
\(761\) | 2.63228 | − | 4.09591i | 0.0954202 | − | 0.148477i | −0.790261 | − | 0.612770i | \(-0.790055\pi\) |
0.885682 | + | 0.464293i | \(0.153692\pi\) | |||||||
\(762\) | 19.7179 | + | 18.9822i | 0.714303 | + | 0.687653i | ||||
\(763\) | −5.08075 | − | 11.1253i | −0.183935 | − | 0.402762i | ||||
\(764\) | 7.78590 | + | 2.28615i | 0.281684 | + | 0.0827099i | ||||
\(765\) | −13.3958 | − | 10.7440i | −0.484328 | − | 0.388451i | ||||
\(766\) | −4.35898 | − | 3.77708i | −0.157496 | − | 0.136471i | ||||
\(767\) | 3.14693 | + | 0.452460i | 0.113629 | + | 0.0163374i | ||||
\(768\) | −1.40606 | − | 1.01144i | −0.0507366 | − | 0.0364972i | ||||
\(769\) | 1.52299 | − | 1.31968i | 0.0549204 | − | 0.0475888i | −0.626968 | − | 0.779045i | \(-0.715704\pi\) |
0.681889 | + | 0.731456i | \(0.261159\pi\) | |||||||
\(770\) | −0.465713 | + | 0.299296i | −0.0167831 | + | 0.0107859i | ||||
\(771\) | 8.47458 | − | 24.1112i | 0.305204 | − | 0.868342i | ||||
\(772\) | 13.1447 | + | 15.1698i | 0.473088 | + | 0.545973i | ||||
\(773\) | −36.7030 | + | 10.7770i | −1.32011 | + | 0.387620i | −0.864534 | − | 0.502574i | \(-0.832386\pi\) |
−0.455580 | + | 0.890195i | \(0.650568\pi\) | |||||||
\(774\) | −5.16367 | − | 2.12488i | −0.185604 | − | 0.0763771i | ||||
\(775\) | 0.382816 | − | 0.441794i | 0.0137512 | − | 0.0158697i | ||||
\(776\) | 7.69416 | − | 16.8479i | 0.276204 | − | 0.604803i | ||||
\(777\) | −0.442854 | − | 1.12175i | −0.0158873 | − | 0.0402425i | ||||
\(778\) | −3.71427 | + | 1.69625i | −0.133163 | + | 0.0608136i | ||||
\(779\) | 4.99848 | + | 34.7652i | 0.179089 | + | 1.24559i | ||||
\(780\) | −0.997085 | − | 10.9988i | −0.0357014 | − | 0.393821i | ||||
\(781\) | 2.10085i | 0.0751745i | ||||||||
\(782\) | −27.3060 | + | 2.82303i | −0.976462 | + | 0.100951i | ||||
\(783\) | −8.29062 | − | 18.8673i | −0.296283 | − | 0.674261i | ||||
\(784\) | 4.30766 | + | 2.76836i | 0.153845 | + | 0.0988701i | ||||
\(785\) | −20.0521 | + | 2.88306i | −0.715691 | + | 0.102901i | ||||
\(786\) | −11.2301 | + | 21.5294i | −0.400566 | + | 0.767929i | ||||
\(787\) | −7.58155 | + | 25.8204i | −0.270253 | + | 0.920398i | 0.706802 | + | 0.707411i | \(0.250137\pi\) |
−0.977055 | + | 0.212986i | \(0.931681\pi\) | |||||||
\(788\) | −14.9812 | − | 6.84167i | −0.533682 | − | 0.243725i | ||||
\(789\) | 52.4986 | + | 2.75308i | 1.86900 | + | 0.0980122i | ||||
\(790\) | 1.58220 | − | 11.0044i | 0.0562921 | − | 0.391520i | ||||
\(791\) | −0.755014 | − | 2.57134i | −0.0268452 | − | 0.0914264i | ||||
\(792\) | −0.544756 | − | 1.08202i | −0.0193571 | − | 0.0384480i | ||||
\(793\) | 19.3440 | + | 30.0998i | 0.686925 | + | 1.06888i | ||||
\(794\) | 1.67439 | + | 2.60540i | 0.0594219 | + | 0.0924623i | ||||
\(795\) | 1.50694 | − | 7.62198i | 0.0534457 | − | 0.270324i | ||||
\(796\) | 4.87270 | + | 16.5949i | 0.172708 | + | 0.588190i | ||||
\(797\) | −2.50698 | + | 17.4364i | −0.0888018 | + | 0.617630i | 0.896014 | + | 0.444026i | \(0.146450\pi\) |
−0.984816 | + | 0.173604i | \(0.944459\pi\) | |||||||
\(798\) | −1.02332 | + | 19.5137i | −0.0362251 | + | 0.690778i | ||||
\(799\) | 47.6786 | + | 21.7741i | 1.68675 | + | 0.770312i | ||||
\(800\) | 0.281733 | − | 0.959493i | 0.00996075 | − | 0.0339232i | ||||
\(801\) | −8.58349 | + | 1.56915i | −0.303283 | + | 0.0554431i | ||||
\(802\) | 28.0537 | − | 4.03351i | 0.990609 | − | 0.142428i | ||||
\(803\) | −3.71426 | − | 2.38701i | −0.131073 | − | 0.0842357i | ||||
\(804\) | −3.69267 | + | 2.87541i | −0.130231 | + | 0.101408i | ||||
\(805\) | 6.53994 | − | 0.676131i | 0.230503 | − | 0.0238305i | ||||
\(806\) | − | 3.72738i | − | 0.131291i | ||||||
\(807\) | −42.2152 | + | 3.82697i | −1.48605 | + | 0.134716i | ||||
\(808\) | 1.82855 | + | 12.7178i | 0.0643281 | + | 0.447412i | ||||
\(809\) | 0.827753 | − | 0.378022i | 0.0291022 | − | 0.0132905i | −0.400811 | − | 0.916161i | \(-0.631272\pi\) |
0.429913 | + | 0.902870i | \(0.358544\pi\) | |||||||
\(810\) | −6.33444 | + | 6.39334i | −0.222570 | + | 0.224639i | ||||
\(811\) | −6.60403 | + | 14.4608i | −0.231899 | + | 0.507788i | −0.989430 | − | 0.145011i | \(-0.953678\pi\) |
0.757531 | + | 0.652799i | \(0.226405\pi\) | |||||||
\(812\) | −3.56066 | + | 4.10922i | −0.124955 | + | 0.144206i | ||||
\(813\) | 14.1153 | − | 8.05952i | 0.495046 | − | 0.282660i | ||||
\(814\) | −0.196781 | + | 0.0577801i | −0.00689717 | + | 0.00202519i | ||||
\(815\) | 9.27973 | + | 10.7094i | 0.325055 | + | 0.375133i | ||||
\(816\) | −9.35342 | − | 3.28753i | −0.327435 | − | 0.115087i | ||||
\(817\) | 12.8852 | − | 8.28080i | 0.450795 | − | 0.289709i | ||||
\(818\) | 18.5159 | − | 16.0441i | 0.647394 | − | 0.560970i | ||||
\(819\) | 26.2053 | − | 0.996641i | 0.915687 | − | 0.0348254i | ||||
\(820\) | 4.22462 | + | 0.607408i | 0.147530 | + | 0.0212116i | ||||
\(821\) | −41.6414 | − | 36.0825i | −1.45329 | − | 1.25929i | −0.906624 | − | 0.421940i | \(-0.861349\pi\) |
−0.546671 | − | 0.837348i | \(-0.684105\pi\) | |||||||
\(822\) | −7.42507 | − | 31.2598i | −0.258979 | − | 1.09031i | ||||
\(823\) | −25.0450 | − | 7.35388i | −0.873014 | − | 0.256340i | −0.185617 | − | 0.982622i | \(-0.559428\pi\) |
−0.687397 | + | 0.726282i | \(0.741247\pi\) | |||||||
\(824\) | −0.0575297 | − | 0.125972i | −0.00200414 | − | 0.00438846i | ||||
\(825\) | 0.485070 | − | 0.503869i | 0.0168880 | − | 0.0175425i | ||||
\(826\) | −0.369569 | + | 0.575060i | −0.0128589 | + | 0.0200089i | ||||
\(827\) | −30.8254 | −1.07190 | −0.535952 | − | 0.844248i | \(-0.680047\pi\) | ||||
−0.535952 | + | 0.844248i | \(0.680047\pi\) | |||||||
\(828\) | −0.0254251 | + | 14.3875i | −0.000883583 | + | 0.499999i | ||||
\(829\) | 20.0769 | 0.697300 | 0.348650 | − | 0.937253i | \(-0.386640\pi\) | ||||
0.348650 | + | 0.937253i | \(0.386640\pi\) | |||||||
\(830\) | 5.89395 | − | 9.17117i | 0.204582 | − | 0.318336i | ||||
\(831\) | −17.7527 | + | 18.4407i | −0.615836 | + | 0.639703i | ||||
\(832\) | −2.64877 | − | 5.80000i | −0.0918297 | − | 0.201079i | ||||
\(833\) | 28.1229 | + | 8.25761i | 0.974399 | + | 0.286109i | ||||
\(834\) | 5.10794 | + | 21.5046i | 0.176873 | + | 0.744642i | ||||
\(835\) | −9.72787 | − | 8.42925i | −0.336647 | − | 0.291706i | ||||
\(836\) | 3.28917 | + | 0.472911i | 0.113758 | + | 0.0163560i | ||||
\(837\) | −2.32399 | + | 1.95596i | −0.0803289 | + | 0.0676078i | ||||
\(838\) | −18.2110 | + | 15.7799i | −0.629088 | + | 0.545108i | ||||
\(839\) | −15.1083 | + | 9.70949i | −0.521595 | + | 0.335209i | −0.774803 | − | 0.632203i | \(-0.782151\pi\) |
0.253208 | + | 0.967412i | \(0.418514\pi\) | |||||||
\(840\) | 2.24019 | + | 0.787382i | 0.0772940 | + | 0.0271673i | ||||
\(841\) | −8.69006 | − | 10.0289i | −0.299657 | − | 0.345823i | ||||
\(842\) | 15.9199 | − | 4.67450i | 0.548635 | − | 0.161094i | ||||
\(843\) | −15.9084 | + | 9.08331i | −0.547913 | + | 0.312846i | ||||
\(844\) | 12.3125 | − | 14.2094i | 0.423814 | − | 0.489107i | ||||
\(845\) | 11.4887 | − | 25.1568i | 0.395225 | − | 0.865421i | ||||
\(846\) | 13.9630 | − | 23.6579i | 0.480057 | − | 0.813375i | ||||
\(847\) | 13.5142 | − | 6.17174i | 0.464354 | − | 0.212064i | ||||
\(848\) | −0.638386 | − | 4.44008i | −0.0219223 | − | 0.152473i | ||||
\(849\) | −39.0554 | + | 3.54053i | −1.34038 | + | 0.121511i | ||||
\(850\) | − | 5.72405i | − | 0.196333i | ||||||
\(851\) | 2.39526 | + | 0.442254i | 0.0821085 | + | 0.0151603i | ||||
\(852\) | 7.10992 | − | 5.53636i | 0.243582 | − | 0.189672i | ||||
\(853\) | −23.8094 | − | 15.3014i | −0.815219 | − | 0.523910i | 0.0653303 | − | 0.997864i | \(-0.479190\pi\) |
−0.880550 | + | 0.473954i | \(0.842826\pi\) | |||||||
\(854\) | −7.61465 | + | 1.09482i | −0.260568 | + | 0.0374640i | ||||
\(855\) | −4.43956 | − | 24.2851i | −0.151830 | − | 0.830533i | ||||
\(856\) | −1.51389 | + | 5.15583i | −0.0517437 | + | 0.176223i | ||||
\(857\) | 11.8003 | + | 5.38903i | 0.403092 | + | 0.184086i | 0.606636 | − | 0.794980i | \(-0.292519\pi\) |
−0.203544 | + | 0.979066i | \(0.565246\pi\) | |||||||
\(858\) | 0.233545 | − | 4.45348i | 0.00797309 | − | 0.152039i | ||||
\(859\) | 0.425549 | − | 2.95976i | 0.0145195 | − | 0.100986i | −0.981273 | − | 0.192622i | \(-0.938301\pi\) |
0.995793 | + | 0.0916367i | \(0.0292098\pi\) | |||||||
\(860\) | −0.524377 | − | 1.78586i | −0.0178811 | − | 0.0608975i | ||||
\(861\) | −1.96568 | + | 9.94223i | −0.0669901 | + | 0.338830i | ||||
\(862\) | −14.5475 | − | 22.6363i | −0.495488 | − | 0.770995i | ||||
\(863\) | −11.0101 | − | 17.1321i | −0.374788 | − | 0.583182i | 0.601708 | − | 0.798716i | \(-0.294487\pi\) |
−0.976496 | + | 0.215534i | \(0.930851\pi\) | |||||||
\(864\) | −2.22630 | + | 4.69506i | −0.0757402 | + | 0.159729i | ||||
\(865\) | 5.29483 | + | 18.0325i | 0.180030 | + | 0.613125i | ||||
\(866\) | −3.90813 | + | 27.1817i | −0.132804 | + | 0.923670i | ||||
\(867\) | −27.2679 | − | 1.42995i | −0.926066 | − | 0.0485638i | ||||
\(868\) | 0.728997 | + | 0.332922i | 0.0247438 | + | 0.0113001i | ||||
\(869\) | 1.26480 | − | 4.30750i | 0.0429053 | − | 0.146122i | ||||
\(870\) | 3.17701 | − | 6.09068i | 0.107711 | − | 0.206493i | ||||
\(871\) | −17.0537 | + | 2.45195i | −0.577843 | + | 0.0830813i | ||||
\(872\) | 7.50505 | + | 4.82320i | 0.254153 | + | 0.163334i | ||||
\(873\) | −53.8705 | − | 13.6169i | −1.82324 | − | 0.460864i | ||||
\(874\) | −32.3259 | − | 22.6403i | −1.09344 | − | 0.765821i | ||||
\(875\) | 1.37094i | 0.0463463i | ||||||||
\(876\) | 1.70979 | + | 18.8606i | 0.0577683 | + | 0.637241i | ||||
\(877\) | 4.16004 | + | 28.9337i | 0.140474 | + | 0.977021i | 0.931111 | + | 0.364736i | \(0.118841\pi\) |
−0.790637 | + | 0.612286i | \(0.790250\pi\) | |||||||
\(878\) | 7.61223 | − | 3.47639i | 0.256900 | − | 0.117322i | ||||
\(879\) | −5.44623 | − | 13.7953i | −0.183697 | − | 0.465303i | ||||
\(880\) | 0.167747 | − | 0.367315i | 0.00565475 | − | 0.0123822i | ||||
\(881\) | −25.6466 | + | 29.5978i | −0.864056 | + | 0.997174i | 0.135923 | + | 0.990719i | \(0.456600\pi\) |
−0.999979 | + | 0.00645457i | \(0.997945\pi\) | |||||||
\(882\) | 5.84576 | − | 14.2058i | 0.196837 | − | 0.478334i | ||||
\(883\) | −18.4262 | + | 5.41042i | −0.620090 | + | 0.182075i | −0.576664 | − | 0.816982i | \(-0.695646\pi\) |
−0.0434267 | + | 0.999057i | \(0.513828\pi\) | |||||||
\(884\) | −23.9009 | − | 27.5832i | −0.803876 | − | 0.927722i | ||||
\(885\) | 0.286374 | − | 0.814769i | 0.00962637 | − | 0.0273881i | ||||
\(886\) | −20.0087 | + | 12.8588i | −0.672204 | + | 0.432000i | ||||
\(887\) | 31.1805 | − | 27.0181i | 1.04694 | − | 0.907178i | 0.0511352 | − | 0.998692i | \(-0.483716\pi\) |
0.995804 | + | 0.0915139i | \(0.0291706\pi\) | |||||||
\(888\) | 0.714119 | + | 0.513698i | 0.0239643 | + | 0.0172386i | ||||
\(889\) | −21.4432 | − | 3.08307i | −0.719183 | − | 0.103403i | ||||
\(890\) | −2.19816 | − | 1.90471i | −0.0736824 | − | 0.0638462i | ||||
\(891\) | −2.89926 | + | 2.19137i | −0.0971289 | + | 0.0734135i | ||||
\(892\) | −11.1320 | − | 3.26866i | −0.372728 | − | 0.109443i | ||||
\(893\) | 31.3036 | + | 68.5452i | 1.04753 | + | 2.29378i | ||||
\(894\) | 3.01284 | + | 2.90043i | 0.100764 | + | 0.0970049i | ||||
\(895\) | 10.5327 | − | 16.3892i | 0.352070 | − | 0.547832i | ||||
\(896\) | 1.37094 | 0.0457999 | ||||||||
\(897\) | −26.3435 | + | 45.9488i | −0.879583 | + | 1.53418i | ||||
\(898\) | −10.0963 | −0.336919 | ||||||||
\(899\) | 1.25347 | − | 1.95044i | 0.0418055 | − | 0.0650506i | ||||
\(900\) | −2.98354 | − | 0.313783i | −0.0994515 | − | 0.0104594i | ||||
\(901\) | −10.6664 | − | 23.3562i | −0.355350 | − | 0.778109i | ||||
\(902\) | 1.65366 | + | 0.485557i | 0.0550607 | + | 0.0161673i | ||||
\(903\) | 4.30000 | − | 1.02137i | 0.143095 | − | 0.0339890i | ||||
\(904\) | 1.47733 | + | 1.28011i | 0.0491352 | + | 0.0425759i | ||||
\(905\) | −10.9455 | − | 1.57373i | −0.363841 | − | 0.0523125i | ||||
\(906\) | −1.26911 | + | 1.76426i | −0.0421635 | + | 0.0586137i | ||||
\(907\) | −42.3414 | + | 36.6890i | −1.40592 | + | 1.21824i | −0.462511 | + | 0.886614i | \(0.653051\pi\) |
−0.943411 | + | 0.331625i | \(0.892403\pi\) | |||||||
\(908\) | 3.99656 | − | 2.56843i | 0.132630 | − | 0.0852364i | ||||
\(909\) | 36.5450 | − | 12.2574i | 1.21212 | − | 0.406551i | ||||
\(910\) | 5.72441 | + | 6.60632i | 0.189762 | + | 0.218997i | ||||
\(911\) | −13.8609 | + | 4.06994i | −0.459234 | + | 0.134843i | −0.503163 | − | 0.864191i | \(-0.667831\pi\) |
0.0439294 | + | 0.999035i | \(0.486012\pi\) | |||||||
\(912\) | −7.06744 | − | 12.3778i | −0.234026 | − | 0.409870i | ||||
\(913\) | 2.88283 | − | 3.32696i | 0.0954078 | − | 0.110106i | ||||
\(914\) | 11.3236 | − | 24.7953i | 0.374553 | − | 0.820156i | ||||
\(915\) | 9.04029 | − | 3.56901i | 0.298863 | − | 0.117988i | ||||
\(916\) | −0.258833 | + | 0.118205i | −0.00855210 | + | 0.00390561i | ||||
\(917\) | −2.73526 | − | 19.0242i | −0.0903263 | − | 0.628233i | ||||
\(918\) | −4.65575 | + | 29.3764i | −0.153663 | + | 0.969565i | ||||
\(919\) | 23.0540i | 0.760481i | 0.924888 | + | 0.380240i | \(0.124159\pi\) | ||||
−0.924888 | + | 0.380240i | \(0.875841\pi\) | |||||||
\(920\) | −3.74648 | + | 2.99397i | −0.123518 | + | 0.0987083i | ||||
\(921\) | −0.00180619 | − | 0.00231955i | −5.95160e−5 | − | 7.64319e-5i | ||||
\(922\) | −0.590622 | − | 0.379570i | −0.0194511 | − | 0.0125005i | ||||
\(923\) | 32.8354 | − | 4.72102i | 1.08079 | − | 0.155394i | ||||
\(924\) | 0.850147 | + | 0.443452i | 0.0279678 | + | 0.0145885i | ||||
\(925\) | −0.143089 | + | 0.487316i | −0.00470473 | + | 0.0160228i | ||||
\(926\) | −27.2029 | − | 12.4232i | −0.893943 | − | 0.408250i | ||||
\(927\) | −0.340720 | + | 0.237736i | −0.0111907 | + | 0.00780828i | ||||
\(928\) | 0.564434 | − | 3.92573i | 0.0185285 | − | 0.128868i | ||||
\(929\) | 8.00781 | + | 27.2721i | 0.262728 | + | 0.894768i | 0.980171 | + | 0.198152i | \(0.0634938\pi\) |
−0.717444 | + | 0.696616i | \(0.754688\pi\) | |||||||
\(930\) | −0.993289 | − | 0.196383i | −0.0325712 | − | 0.00643966i | ||||
\(931\) | 22.7814 | + | 35.4485i | 0.746629 | + | 1.16178i | ||||
\(932\) | 8.79886 | + | 13.6913i | 0.288216 | + | 0.448473i | ||||
\(933\) | −47.8425 | − | 9.45894i | −1.56629 | − | 0.309672i | ||||
\(934\) | −6.08651 | − | 20.7287i | −0.199157 | − | 0.678265i | ||||
\(935\) | 0.328947 | − | 2.28788i | 0.0107577 | − | 0.0748216i | ||||
\(936\) | −15.6874 | + | 10.9458i | −0.512758 | + | 0.357775i | ||||
\(937\) | −52.8940 | − | 24.1559i | −1.72797 | − | 0.789138i | −0.993928 | − | 0.110036i | \(-0.964904\pi\) |
−0.734044 | − | 0.679102i | \(-0.762369\pi\) | |||||||
\(938\) | 1.04365 | − | 3.55435i | 0.0340764 | − | 0.116054i | ||||
\(939\) | −2.25827 | − | 1.17795i | −0.0736957 | − | 0.0384410i | ||||
\(940\) | 9.06383 | − | 1.30318i | 0.295629 | − | 0.0425051i | ||||
\(941\) | 26.2305 | + | 16.8573i | 0.855091 | + | 0.549534i | 0.893159 | − | 0.449741i | \(-0.148484\pi\) |
−0.0380675 | + | 0.999275i | \(0.512120\pi\) | |||||||
\(942\) | 21.5578 | + | 27.6850i | 0.702391 | + | 0.902027i | ||||
\(943\) | −14.9240 | − | 14.0089i | −0.485993 | − | 0.456193i | ||||
\(944\) | − | 0.498617i | − | 0.0162286i | ||||||
\(945\) | 1.11508 | − | 7.03580i | 0.0362735 | − | 0.228875i | ||||
\(946\) | −0.106962 | − | 0.743937i | −0.00347764 | − | 0.0241875i | ||||
\(947\) | 32.7481 | − | 14.9555i | 1.06417 | − | 0.485990i | 0.195152 | − | 0.980773i | \(-0.437480\pi\) |
0.869016 | + | 0.494783i | \(0.164753\pi\) | |||||||
\(948\) | −17.9110 | + | 7.07106i | −0.581722 | + | 0.229657i | ||||
\(949\) | −28.9612 | + | 63.4163i | −0.940121 | + | 2.05858i | ||||
\(950\) | 5.38897 | − | 6.21920i | 0.174841 | − | 0.201778i | ||||
\(951\) | −21.2907 | − | 37.2881i | −0.690397 | − | 1.20915i | ||||
\(952\) | 7.52946 | − | 2.21085i | 0.244031 | − | 0.0716541i | ||||
\(953\) | 22.6554 | + | 26.1457i | 0.733879 | + | 0.846942i | 0.992903 | − | 0.118929i | \(-0.0379462\pi\) |
−0.259023 | + | 0.965871i | \(0.583401\pi\) | |||||||
\(954\) | −12.7587 | + | 4.27931i | −0.413077 | + | 0.138548i | ||||
\(955\) | 6.82644 | − | 4.38708i | 0.220898 | − | 0.141963i | ||||
\(956\) | −10.6644 | + | 9.24080i | −0.344913 | + | 0.298869i | ||||
\(957\) | 1.61985 | − | 2.25184i | 0.0523624 | − | 0.0727918i | ||||
\(958\) | 24.6283 | + | 3.54102i | 0.795705 | + | 0.114405i | ||||
\(959\) | 19.2194 | + | 16.6537i | 0.620627 | + | 0.537776i | ||||
\(960\) | −1.68516 | + | 0.400274i | −0.0543885 | + | 0.0129188i | ||||
\(961\) | 29.4164 | + | 8.63743i | 0.948916 | + | 0.278627i | ||||
\(962\) | 1.34528 | + | 2.94576i | 0.0433736 | + | 0.0949750i | ||||
\(963\) | 16.0321 | + | 1.68611i | 0.516626 | + | 0.0543342i | ||||
\(964\) | −2.70342 | + | 4.20660i | −0.0870712 | + | 0.135485i | ||||
\(965\) | 20.0725 | 0.646158 | ||||||||
\(966\) | −6.63366 | − | 9.25627i | −0.213435 | − | 0.297816i | ||||
\(967\) | 60.2339 | 1.93699 | 0.968495 | − | 0.249032i | \(-0.0801126\pi\) | ||||
0.968495 | + | 0.249032i | \(0.0801126\pi\) | |||||||
\(968\) | −5.85889 | + | 9.11661i | −0.188312 | + | 0.293019i | ||||
\(969\) | −58.7767 | − | 56.5838i | −1.88818 | − | 1.81773i | ||||
\(970\) | −7.69416 | − | 16.8479i | −0.247045 | − | 0.540952i | ||||
\(971\) | 50.7756 | + | 14.9091i | 1.62947 | + | 0.478454i | 0.963540 | − | 0.267564i | \(-0.0862186\pi\) |
0.665926 | + | 0.746018i | \(0.268037\pi\) | |||||||
\(972\) | 15.0566 | + | 4.03708i | 0.482941 | + | 0.129489i | ||||
\(973\) | −13.2216 | − | 11.4566i | −0.423866 | − | 0.367282i | ||||
\(974\) | −9.91526 | − | 1.42560i | −0.317705 | − | 0.0456791i | ||||
\(975\) | −8.96530 | − | 6.44915i | −0.287119 | − | 0.206538i | ||||
\(976\) | 4.24084 | − | 3.67471i | 0.135746 | − | 0.117625i | ||||
\(977\) | 50.2773 | − | 32.3112i | 1.60851 | − | 1.03373i | 0.645688 | − | 0.763601i | \(-0.276571\pi\) |
0.962825 | − | 0.270127i | \(-0.0870657\pi\) | |||||||
\(978\) | 8.13867 | − | 23.1555i | 0.260246 | − | 0.740430i | ||||
\(979\) | −0.769135 | − | 0.887629i | −0.0245817 | − | 0.0283687i | ||||
\(980\) | 4.91310 | − | 1.44262i | 0.156943 | − | 0.0460827i | ||||
\(981\) | 10.1848 | − | 24.7502i | 0.325177 | − | 0.790212i | ||||
\(982\) | −7.85311 | + | 9.06297i | −0.250603 | + | 0.289211i | ||||
\(983\) | 10.3372 | − | 22.6353i | 0.329706 | − | 0.721955i | −0.670088 | − | 0.742282i | \(-0.733743\pi\) |
0.999793 | + | 0.0203269i | \(0.00647071\pi\) | |||||||
\(984\) | −2.71459 | − | 6.87605i | −0.0865379 | − | 0.219200i | ||||
\(985\) | −14.9812 | + | 6.84167i | −0.477340 | + | 0.217994i | ||||
\(986\) | −3.23085 | − | 22.4711i | −0.102891 | − | 0.715624i | ||||
\(987\) | 1.96310 | + | 21.6549i | 0.0624862 | + | 0.689284i | ||||
\(988\) | − | 52.4710i | − | 1.66933i | ||||||
\(989\) | −2.85346 | + | 8.45791i | −0.0907347 | + | 0.268946i | ||||
\(990\) | −1.17448 | − | 0.296875i | −0.0373274 | − | 0.00943530i | ||||
\(991\) | 47.1285 | + | 30.2877i | 1.49709 | + | 0.962119i | 0.995270 | + | 0.0971456i | \(0.0309713\pi\) |
0.501817 | + | 0.864974i | \(0.332665\pi\) | |||||||
\(992\) | −0.578626 | + | 0.0831939i | −0.0183714 | + | 0.00264141i | ||||
\(993\) | 0.0104004 | − | 0.0199387i | 0.000330046 | − | 0.000632736i | ||||
\(994\) | −2.00946 | + | 6.84359i | −0.0637362 | + | 0.217065i | ||||
\(995\) | 15.7325 | + | 7.18480i | 0.498755 | + | 0.227774i | ||||
\(996\) | −18.8565 | − | 0.988855i | −0.597492 | − | 0.0313331i | ||||
\(997\) | −7.07463 | + | 49.2051i | −0.224056 | + | 1.55834i | 0.498414 | + | 0.866939i | \(0.333916\pi\) |
−0.722470 | + | 0.691402i | \(0.756993\pi\) | |||||||
\(998\) | 7.04910 | + | 24.0070i | 0.223135 | + | 0.759929i | ||||
\(999\) | 1.13071 | − | 2.38457i | 0.0357741 | − | 0.0754444i |
(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 | 690.2.q.a.251.6 | yes | 160 | |
3.2 | odd | 2 | 690.2.q.b.251.10 | yes | 160 | ||
23.11 | odd | 22 | 690.2.q.b.11.10 | yes | 160 | ||
69.11 | even | 22 | inner | 690.2.q.a.11.6 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.6 | ✓ | 160 | 69.11 | even | 22 | inner | |
690.2.q.a.251.6 | yes | 160 | 1.1 | even | 1 | trivial | |
690.2.q.b.11.10 | yes | 160 | 23.11 | odd | 22 | ||
690.2.q.b.251.10 | yes | 160 | 3.2 | odd | 2 |